<p><b>akt@lanl.gov</b> 2013-01-31 11:02:47 -0700 (Thu, 31 Jan 2013)</p><p>Non-working first attempt at MPAS-CICE<br>
</p><hr noshade><pre><font color="gray">Modified: branches/cice_projects/initial_cice_core/src/core_cice/Makefile
===================================================================
--- branches/cice_projects/initial_cice_core/src/core_cice/Makefile 2013-01-31 17:07:49 UTC (rev 2404)
+++ branches/cice_projects/initial_cice_core/src/core_cice/Makefile 2013-01-31 18:02:47 UTC (rev 2405)
@@ -1,26 +1,23 @@
.SUFFIXES: .F .o
-OBJS = mpas_sw_mpas_core.o \
- mpas_sw_test_cases.o \
- mpas_sw_advection.o \
- mpas_sw_time_integration.o \
- mpas_sw_global_diagnostics.o
+OBJS = mpas_cice_convert_to_CICE.o \
+ mpas_cice_init.o \
+ mpas_cice_timestep.o \
+ pas_cice_mpas_core.o
-all: core_sw
+all: core_cice
-core_sw: $(OBJS)
+core_cice: $(OBJS)
ar -ru libdycore.a $(OBJS)
-mpas_sw_test_cases.o:
+mpas_cice_convert_to_CICE.o:
-mpas_sw_advection.o:
+mpas_cice_init.o: mpas_cice_convert_to_CICE.o
-mpas_sw_time_integration.o:
+mpas_cice_timestep.o: mpas_cice_convert_to_CICE.o
-mpas_sw_global_diagnostics.o:
+mpas_cice_mpas_core.o: mpas_cice_init.o mpas_cice_timestep.o
-mpas_sw_mpas_core.o: mpas_sw_global_diagnostics.o mpas_sw_test_cases.o mpas_sw_time_integration.o mpas_sw_advection.o
-
clean:
$(RM) *.o *.mod *.f90 libdycore.a
Modified: branches/cice_projects/initial_cice_core/src/core_cice/Registry
===================================================================
--- branches/cice_projects/initial_cice_core/src/core_cice/Registry 2013-01-31 17:07:49 UTC (rev 2404)
+++ branches/cice_projects/initial_cice_core/src/core_cice/Registry 2013-01-31 18:02:47 UTC (rev 2405)
@@ -1,27 +1,12 @@
%
% namelist type namelist_record name default_value
%
-namelist integer sw_model config_test_case 5
-namelist character sw_model config_time_integration RK4
-namelist real sw_model config_dt 172.8
-namelist character sw_model config_calendar_type 360day
-namelist character sw_model config_start_time 0000-01-01_00:00:00
-namelist character sw_model config_stop_time none
-namelist character sw_model config_run_duration none
-namelist integer sw_model config_stats_interval 100
-namelist logical sw_model config_h_ScaleWithMesh false
-namelist real sw_model config_h_mom_eddy_visc2 0.0
-namelist real sw_model config_h_mom_eddy_visc4 0.0
-namelist real sw_model config_h_tracer_eddy_diff2 0.0
-namelist real sw_model config_h_tracer_eddy_diff4 0.0
-namelist integer sw_model config_thickness_adv_order 2
-namelist integer sw_model config_tracer_adv_order 2
-namelist logical sw_model config_positive_definite false
-namelist logical sw_model config_monotonic false
-namelist logical sw_model config_wind_stress false
-namelist logical sw_model config_bottom_drag false
-namelist real sw_model config_apvm_upwinding 0.5
-namelist integer sw_model config_num_halos 2
+namelist real cice_model config_dt 172.8
+namelist character cice_model config_calendar_type 360day
+namelist character cice_model config_start_time 0000-01-01_00:00:00
+namelist character cice_model config_stop_time none
+namelist character cice_model config_run_duration none
+namelist integer cice_model config_num_halos 2
namelist character io config_input_name grid.nc
namelist character io config_output_name output.nc
namelist character io config_restart_name restart.nc
@@ -51,6 +36,9 @@
dim vertexDegree vertexDegree
dim nVertLevels nVertLevels
dim nTracers nTracers
+dim nCategories 1
+dim nIceLayers 4
+dim nSnowLayers 1
%
% var persistence type name_in_file ( dims ) time_levs iro- name_in_code struct super-array array_class
@@ -108,7 +96,6 @@
var persistent real fEdge ( nEdges ) 0 iro fEdge mesh - -
var persistent real fVertex ( nVertices ) 0 iro fVertex mesh - -
var persistent real fCell ( nCells ) 0 iro fCell mesh - -
-var persistent real h_s ( nCells ) 0 iro h_s mesh - -
% Space needed for advection
var persistent real deriv_two ( FIFTEEN TWO nEdges ) 0 o deriv_two mesh - -
@@ -117,49 +104,37 @@
% !! NOTE: the following arrays are needed to allow the use
% !! of the module_advection.F w/o alteration
% Space needed for deformation calculation weights
-var persistent real defc_a ( maxEdges nCells ) 0 - defc_a mesh - -
-var persistent real defc_b ( maxEdges nCells ) 0 - defc_b mesh - -
-var persistent real kdiff ( nVertLevels nCells Time ) 0 - kdiff mesh - -
+%var persistent real defc_a ( maxEdges nCells ) 0 - defc_a mesh - -
+%var persistent real defc_b ( maxEdges nCells ) 0 - defc_b mesh - -
+%var persistent real kdiff ( nVertLevels nCells Time ) 0 - kdiff mesh - -
% Arrays required for reconstruction of velocity field
var persistent real coeffs_reconstruct ( R3 maxEdges nCells ) 0 - coeffs_reconstruct mesh - -
% Boundary conditions: read from input, saved in restart and written to output
-var persistent integer boundaryEdge ( nVertLevels nEdges ) 0 iro boundaryEdge mesh - -
-var persistent integer boundaryVertex ( nVertLevels nVertices ) 0 iro boundaryVertex mesh - -
-var persistent integer boundaryCell ( nVertLevels nCells ) 0 iro boundaryCell mesh - -
-var persistent real u_src ( nVertLevels nEdges ) 0 iro u_src mesh - -
+%var persistent integer boundaryEdge ( nVertLevels nEdges ) 0 iro boundaryEdge mesh - -
+%var persistent integer boundaryVertex ( nVertLevels nVertices ) 0 iro boundaryVertex mesh - -
+%var persistent integer boundaryCell ( nVertLevels nCells ) 0 iro boundaryCell mesh - -
+%var persistent real u_src ( nVertLevels nEdges ) 0 iro u_src mesh - -
-% Prognostic variables: read from input, saved in restart, and written to output
-var persistent real u ( nVertLevels nEdges Time ) 2 iro u state - -
-var persistent real h ( nVertLevels nCells Time ) 2 iro h state - -
-var persistent real tracers ( nTracers nVertLevels nCells Time ) 2 iro tracers state - -
+%--------------------------------------------------------------------------------------
-% Tendency variables
-var persistent real tend_u ( nVertLevels nEdges Time ) 1 - u tend - -
-var persistent real tend_h ( nVertLevels nCells Time ) 1 - h tend - -
-var persistent real tend_tracers ( nTracers nVertLevels nCells Time ) 1 - tracers tend - -
+% state
+var persistent real iceAreaCell ( nCells ) 0 - iceAreaCell states - -
+var persistent real iceVolumeCell ( nCells ) 0 - iceVolumeCell states - -
+var persistent real snowVolumeCell ( nCells ) 0 - snowVolumeCell states - -
+var persistent real iceAreaCategory ( nCells nCategories ) 0 - iceAreaCategory states - -
+var persistent real iceVolumeCategory ( nCells nCategories ) 0 - iceVolumeCategory states - -
+var persistent real snowVolumeCategory ( nCells nCategories ) 0 - snowVolumeCategory states - -
-% Diagnostic fields: only written to output
-var persistent real v ( nVertLevels nEdges Time ) 2 o v state - -
-var persistent real divergence ( nVertLevels nCells Time ) 2 o divergence state - -
-var persistent real vorticity ( nVertLevels nVertices Time ) 2 o vorticity state - -
-var persistent real vorticity_cell ( nVertLevels nCells Time ) 2 o vorticity_cell state - -
-var persistent real pv_edge ( nVertLevels nEdges Time ) 2 o pv_edge state - -
-var persistent real h_edge ( nVertLevels nEdges Time ) 2 o h_edge state - -
-var persistent real ke ( nVertLevels nCells Time ) 2 o ke state - -
-var persistent real pv_vertex ( nVertLevels nVertices Time ) 2 o pv_vertex state - -
-var persistent real pv_cell ( nVertLevels nCells Time ) 2 o pv_cell state - -
-var persistent real uReconstructX ( nVertLevels nCells Time ) 2 o uReconstructX state - -
-var persistent real uReconstructY ( nVertLevels nCells Time ) 2 o uReconstructY state - -
-var persistent real uReconstructZ ( nVertLevels nCells Time ) 2 o uReconstructZ state - -
-var persistent real uReconstructZonal ( nVertLevels nCells Time ) 2 o uReconstructZonal state - -
-var persistent real uReconstructMeridional ( nVertLevels nCells Time ) 2 o uReconstructMeridional state - -
+% tracers
+var persistent real iceEnthalpy ( nIceLayers nCells nCategories ) 0 - iceEnthalpy tracer iceVolumeLayerTracers tracers
+var persistent real iceSalinity ( nIceLayers nCells nCategories ) 0 - iceSalinity tracer iceVolumeLayerTracers tracers
+var persistent real snowEnthalpy ( nSnowLayers nCells nCategories ) 0 - snowEnthalpy tracer - -
+% snowVolumeLayerTracers tracers
-% Other diagnostic variables: neither read nor written to any files
-var persistent real vh ( nVertLevels nEdges Time ) 2 - vh state - -
-var persistent real circulation ( nVertLevels nVertices Time ) 2 - circulation state - -
-var persistent real gradPVt ( nVertLevels nEdges Time ) 2 - gradPVt state - -
-var persistent real gradPVn ( nVertLevels nEdges Time ) 2 - gradPVn state - -
-var persistent real h_vertex ( nVertLevels nVertices Time ) 2 - h_vertex state - -
-
+% flux
+var persistent real seaSurfaceTemperature ( nCells ) 0 - seaSurfaceTemperature flux - -
+var persistent real seaFreezingTemperature ( nCells ) 0 - seaFreezingTemperature flux - -
+var persistent real iceLateralMeltFraction ( nCells ) 0 - iceLateralMeltFraction flux - -
+var persistent real seaFreezeMeltPotential ( nCells ) 0 - seaFreezeMeltPotential flux - -
Copied: branches/cice_projects/initial_cice_core/src/core_cice/mpas_cice_mpas_core.F (from rev 2392, branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_mpas_core.F)
===================================================================
--- branches/cice_projects/initial_cice_core/src/core_cice/mpas_cice_mpas_core.F (rev 0)
+++ branches/cice_projects/initial_cice_core/src/core_cice/mpas_cice_mpas_core.F 2013-01-31 18:02:47 UTC (rev 2405)
@@ -0,0 +1,331 @@
+module mpas_core
+
+ use mpas_framework
+ use mpas_timekeeping
+
+ type (io_output_object), save :: restart_obj
+ integer :: current_outfile_frames
+
+ type (MPAS_Clock_type) :: clock
+
+ integer, parameter :: outputAlarmID = 1
+ integer, parameter :: restartAlarmID = 2
+ !integer, parameter :: statsAlarmID = 3
+
+ contains
+
+ !-------------------------------------------------------------------------
+
+ subroutine mpas_core_init(domain, startTimeStamp)
+
+ use mpas_configure
+ use mpas_grid_types
+ use cice_init
+
+ implicit none
+
+ type (domain_type), intent(inout) :: domain
+ character(len=*), intent(out) :: startTimeStamp
+
+ real (kind=RKIND) :: dt
+ type (block_type), pointer :: block
+
+ !
+ ! Initialize core
+ !
+ dt = config_dt
+
+ call simulation_clock_init(domain, dt, startTimeStamp)
+
+ block => domain % blocklist
+ do while (associated(block))
+ call mpas_init_block(block, block % mesh, dt)
+ block % state % time_levs(1) % state % xtime % scalar = startTimeStamp
+ block => block % next
+ end do
+
+ current_outfile_frames = 0
+
+ ! CICE init
+ call init_data(domain)
+
+ end subroutine mpas_core_init
+
+ !-------------------------------------------------------------------------
+
+ subroutine simulation_clock_init(domain, dt, startTimeStamp)
+
+ implicit none
+
+ type (domain_type), intent(inout) :: domain
+ real (kind=RKIND), intent(in) :: dt
+ character(len=*), intent(out) :: startTimeStamp
+
+ type (MPAS_Time_Type) :: startTime, stopTime, alarmStartTime
+ type (MPAS_TimeInterval_type) :: runDuration, timeStep, alarmTimeStep
+ integer :: ierr
+
+ call mpas_set_time(curr_time=startTime, dateTimeString=config_start_time, ierr=ierr)
+ call mpas_set_timeInterval(timeStep, dt=dt, ierr=ierr)
+
+ if (trim(config_run_duration) /= "none") then
+ call mpas_set_timeInterval(runDuration, timeString=config_run_duration, ierr=ierr)
+ call mpas_create_clock(clock, startTime=startTime, timeStep=timeStep, runDuration=runDuration, ierr=ierr)
+
+ if (trim(config_stop_time) /= "none") then
+ call mpas_set_time(curr_time=stopTime, dateTimeString=config_stop_time, ierr=ierr)
+ if(startTime + runduration /= stopTime) then
+ write(0,*) 'Warning: config_run_duration and config_stop_time are inconsitent: using config_run_duration.'
+ end if
+ end if
+ else if (trim(config_stop_time) /= "none") then
+ call mpas_set_time(curr_time=stopTime, dateTimeString=config_stop_time, ierr=ierr)
+ call mpas_create_clock(clock, startTime=startTime, timeStep=timeStep, stopTime=stopTime, ierr=ierr)
+ else
+ write(0,*) 'Error: Neither config_run_duration nor config_stop_time were specified.'
+ call mpas_dmpar_abort(domain % dminfo)
+ end if
+
+ ! set output alarm
+ call mpas_set_timeInterval(alarmTimeStep, timeString=config_output_interval, ierr=ierr)
+ alarmStartTime = startTime + alarmTimeStep
+ call mpas_add_clock_alarm(clock, outputAlarmID, alarmStartTime, alarmTimeStep, ierr=ierr)
+
+ ! set restart alarm, if necessary
+ if (trim(config_restart_interval) /= "none") then
+ call mpas_set_timeInterval(alarmTimeStep, timeString=config_restart_interval, ierr=ierr)
+ alarmStartTime = startTime + alarmTimeStep
+ call mpas_add_clock_alarm(clock, restartAlarmID, alarmStartTime, alarmTimeStep, ierr=ierr)
+ end if
+
+ call mpas_get_time(curr_time=startTime, dateTimeString=startTimeStamp, ierr=ierr)
+
+ end subroutine simulation_clock_init
+
+ !-------------------------------------------------------------------------
+
+ subroutine mpas_init_block(block, mesh, dt)
+
+ use mpas_grid_types
+ use mpas_rbf_interpolation
+ use mpas_vector_reconstruction
+
+ implicit none
+
+ type (block_type), intent(inout) :: block
+ type (mesh_type), intent(inout) :: mesh
+ real (kind=RKIND), intent(in) :: dt
+
+ call compute_mesh_scaling(mesh)
+
+ call mpas_rbf_interp_initialize(mesh)
+ call mpas_init_reconstruct(mesh)
+ !call mpas_reconstruct(mesh, block % state % time_levs(1) % state % u % array, &
+ ! block % state % time_levs(1) % state % uReconstructX % array, &
+ ! block % state % time_levs(1) % state % uReconstructY % array, &
+ ! block % state % time_levs(1) % state % uReconstructZ % array, &
+ ! block % state % time_levs(1) % state % uReconstructZonal % array, &
+ ! block % state % time_levs(1) % state % uReconstructMeridional % array &
+ ! )
+
+ end subroutine mpas_init_block
+
+ !-------------------------------------------------------------------------
+
+ subroutine mpas_core_run(domain, output_obj, output_frame)
+
+ use mpas_grid_types
+ use mpas_kind_types
+ use mpas_io_output
+ use mpas_timer
+ use cice_timestep
+
+ implicit none
+
+ type (domain_type), intent(inout) :: domain
+ type (io_output_object), intent(inout) :: output_obj
+ integer, intent(inout) :: output_frame
+
+ integer :: itimestep
+ real (kind=RKIND) :: dt
+ type (block_type), pointer :: block_ptr
+
+ type (MPAS_Time_Type) :: currTime
+ character(len=StrKIND) :: timeStamp
+ integer :: ierr
+
+ ! Eventually, dt should be domain specific
+ dt = config_dt
+
+ currTime = mpas_get_clock_time(clock, MPAS_NOW, ierr)
+ call mpas_get_time(curr_time=currTime, dateTimeString=timeStamp, ierr=ierr)
+ write(0,*) 'Initial timestep ', trim(timeStamp)
+
+ call write_output_frame(output_obj, output_frame, domain)
+
+ ! During integration, time level 1 stores the model state at the beginning of the
+ ! time step, and time level 2 stores the state advanced dt in time by timestep(...)
+ itimestep = 0
+ do while (.not. mpas_is_clock_stop_time(clock))
+
+ itimestep = itimestep + 1
+ call mpas_advance_clock(clock)
+
+ currTime = mpas_get_clock_time(clock, MPAS_NOW, ierr)
+ call mpas_get_time(curr_time=currTime, dateTimeString=timeStamp, ierr=ierr)
+ write(0,*) 'Doing timestep ', trim(timeStamp)
+
+ call mpas_timer_start("time integration")
+ call mpas_timestep(domain, itimestep, dt, timeStamp)
+ call mpas_timer_stop("time integration")
+
+ ! Move time level 2 fields back into time level 1 for next time step
+ block_ptr => domain % blocklist
+ do while(associated(block_ptr))
+ call mpas_shift_time_levels_state(block_ptr % state)
+ block_ptr => block_ptr % next
+ end do
+
+ !TODO: mpas_get_clock_ringing_alarms is probably faster than multiple mpas_is_alarm_ringing...
+
+ if (mpas_is_alarm_ringing(clock, outputAlarmID, ierr=ierr)) then
+ call mpas_reset_clock_alarm(clock, outputAlarmID, ierr=ierr)
+ ! output_frame will always be > 1 here unless it was reset after the maximum number of frames per outfile was reached
+ if(output_frame == 1) then
+ call mpas_output_state_finalize(output_obj, domain % dminfo)
+ call mpas_output_state_init(output_obj, domain, "OUTPUT", trim(timeStamp))
+ end if
+ call write_output_frame(output_obj, output_frame, domain)
+ end if
+
+ if (mpas_is_alarm_ringing(clock, restartAlarmID, ierr=ierr)) then
+ call mpas_reset_clock_alarm(clock, restartAlarmID, ierr=ierr)
+
+ ! Write one restart time per file
+ call mpas_output_state_init(restart_obj, domain, "RESTART", trim(timeStamp))
+ call mpas_output_state_for_domain(restart_obj, domain, 1)
+ call mpas_output_state_finalize(restart_obj, domain % dminfo)
+ end if
+
+ end do
+
+ end subroutine mpas_core_run
+
+ !-------------------------------------------------------------------------
+
+ subroutine write_output_frame(output_obj, output_frame, domain)
+ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+ ! Compute diagnostic fields for a domain and write model state to output file
+ !
+ ! Input/Output: domain - contains model state; diagnostic field are computed
+ ! before returning
+ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+
+ use mpas_grid_types
+ use mpas_io_output
+
+ implicit none
+
+ type (io_output_object), intent(inout) :: output_obj
+ integer, intent(inout) :: output_frame
+ type (domain_type), intent(inout) :: domain
+
+ integer :: i, j, k
+ integer :: eoe
+ type (block_type), pointer :: block_ptr
+
+ block_ptr => domain % blocklist
+ do while (associated(block_ptr))
+ call compute_output_diagnostics(block_ptr % state % time_levs(1) % state, block_ptr % mesh)
+ block_ptr => block_ptr % next
+ end do
+
+ call mpas_output_state_for_domain(output_obj, domain, output_frame)
+ output_frame = output_frame + 1
+
+ ! reset frame if the maximum number of frames per outfile has been reached
+ if (config_frames_per_outfile > 0) then
+ current_outfile_frames = current_outfile_frames + 1
+ if(current_outfile_frames >= config_frames_per_outfile) then
+ current_outfile_frames = 0
+ output_frame = 1
+ end if
+ end if
+
+ end subroutine write_output_frame
+
+ !-------------------------------------------------------------------------
+
+ subroutine compute_output_diagnostics(state, grid)
+ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+ ! Compute diagnostic fields for a domain
+ !
+ ! Input: state - contains model prognostic fields
+ ! grid - contains grid metadata
+ !
+ ! Output: state - upon returning, diagnostic fields will have be computed
+ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+
+ use mpas_grid_types
+
+ implicit none
+
+ type (state_type), intent(inout) :: state
+ type (mesh_type), intent(in) :: grid
+
+ integer :: i, eoe
+ integer :: iEdge, k
+
+ end subroutine compute_output_diagnostics
+
+ !-------------------------------------------------------------------------
+
+ subroutine mpas_core_finalize(domain)
+
+ use mpas_grid_types
+
+ implicit none
+
+ type (domain_type), intent(inout) :: domain
+ integer :: ierr
+
+ call mpas_destroy_clock(clock, ierr)
+
+ end subroutine mpas_core_finalize
+
+ !-------------------------------------------------------------------------
+
+ subroutine compute_mesh_scaling(mesh)
+
+ use mpas_grid_types
+
+ implicit none
+
+ type (mesh_type), intent(inout) :: mesh
+
+ integer :: iEdge, cell1, cell2
+ real (kind=RKIND), dimension(:), pointer :: meshDensity, meshScalingDel2, meshScalingDel4
+
+ meshDensity => mesh % meshDensity % array
+ meshScalingDel2 => mesh % meshScalingDel2 % array
+ meshScalingDel4 => mesh % meshScalingDel4 % array
+
+ !
+ ! Compute the scaling factors to be used in the del2 and del4 dissipation
+ !
+ !meshScalingDel2(:) = 1.0
+ !meshScalingDel4(:) = 1.0
+ !if (config_h_ScaleWithMesh) then
+ ! do iEdge=1,mesh%nEdges
+ ! cell1 = mesh % cellsOnEdge % array(1,iEdge)
+ ! cell2 = mesh % cellsOnEdge % array(2,iEdge)
+ ! meshScalingDel2(iEdge) = 1.0 / ( (meshDensity(cell1) + meshDensity(cell2) )/2.0)**(5.0/12.0)
+ ! meshScalingDel4(iEdge) = 1.0 / ( (meshDensity(cell1) + meshDensity(cell2) )/2.0)**(5.0/6.0)
+ ! end do
+ !end if
+
+ end subroutine compute_mesh_scaling
+
+ !-------------------------------------------------------------------------
+
+end module mpas_core
Deleted: branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_advection.F
===================================================================
--- branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_advection.F 2013-01-31 17:07:49 UTC (rev 2404)
+++ branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_advection.F 2013-01-31 18:02:47 UTC (rev 2405)
@@ -1,934 +0,0 @@
-module sw_advection
-
- use mpas_kind_types
- use mpas_grid_types
- use mpas_configure
- use mpas_constants
-
-
- contains
-
-
- subroutine sw_initialize_advection_rk( grid )
-
-!
-! compute the cell coefficients for the polynomial fit.
-! this is performed during setup for model integration.
-! WCS, 31 August 2009
-!
- implicit none
-
- type (mesh_type), intent(in) :: grid
-
- real (kind=RKIND), dimension(:,:,:), pointer :: deriv_two
- integer, dimension(:,:), pointer :: advCells
-
-! local variables
-
- real (kind=RKIND), dimension(2, grid % nEdges) :: thetae
- real (kind=RKIND), dimension(grid % nEdges) :: xe, ye
- real (kind=RKIND), dimension(grid % nCells) :: theta_abs
-
- real (kind=RKIND), dimension(25) :: xc, yc, zc ! cell center coordinates
- real (kind=RKIND), dimension(25) :: thetav, thetat, dl_sphere
- real (kind=RKIND) :: xm, ym, zm, dl, xec, yec, zec
- real (kind=RKIND) :: thetae_tmp, xe_tmp, ye_tmp
- real (kind=RKIND) :: xv1, xv2, yv1, yv2, zv1, zv2
- integer :: i, j, k, ip1, ip2, m, n, ip1a, ii
- integer :: iCell, iEdge
- real (kind=RKIND) :: pii
- real (kind=RKIND) :: x0, y0, x1, y1, x2, y2, x3, y3, x4, y4, x5, y5
- real (kind=RKIND) :: pdx1, pdx2, pdx3, pdy1, pdy2, pdy3, dx1, dx2, dy1, dy2
- real (kind=RKIND) :: angv1, angv2, dl1, dl2
- real (kind=RKIND), dimension(25) :: dxe, dye, x2v, y2v, xp, yp
-
- real (kind=RKIND) :: amatrix(25,25), bmatrix(25,25), wmatrix(25,25)
- real (kind=RKIND) :: length_scale
- integer :: ma,na, cell_add, mw, nn
- integer, dimension(25) :: cell_list
-
-
- integer :: cell1, cell2
- integer, parameter :: polynomial_order = 2
-! logical, parameter :: debug = .true.
- logical, parameter :: debug = .false.
-! logical, parameter :: least_squares = .false.
- logical, parameter :: least_squares = .true.
- logical :: add_the_cell, do_the_cell
-
- logical, parameter :: reset_poly = .true.
-
- real (kind=RKIND) :: rcell, cos2t, costsint, sin2t
- real (kind=RKIND), dimension(grid%maxEdges) :: angle_2d
-
-!---
-
- pii = 2.*asin(1.0)
-
- advCells => grid % advCells % array
- deriv_two => grid % deriv_two % array
- deriv_two(:,:,:) = 0.
-
- do iCell = 1, grid % nCells ! is this correct? - we need first halo cell also...
-
- cell_list(1) = iCell
- do i=2, grid % nEdgesOnCell % array(iCell)+1
- cell_list(i) = grid % CellsOnCell % array(i-1,iCell)
- end do
- n = grid % nEdgesOnCell % array(iCell) + 1
-
- if ( polynomial_order > 2 ) then
- do i=2,grid % nEdgesOnCell % array(iCell) + 1
- do j=1,grid % nEdgesOnCell % array ( cell_list(i) )
- cell_add = grid % CellsOnCell % array (j,cell_list(i))
- add_the_cell = .true.
- do k=1,n
- if ( cell_add == cell_list(k) ) add_the_cell = .false.
- end do
- if (add_the_cell) then
- n = n+1
- cell_list(n) = cell_add
- end if
- end do
- end do
- end if
-
- advCells(1,iCell) = n
-
-! check to see if we are reaching outside the halo
-
- do_the_cell = .true.
- do i=1,n
- if (cell_list(i) > grid % nCells) do_the_cell = .false.
- end do
-
-
- if ( .not. do_the_cell ) cycle
-
-
-! compute poynomial fit for this cell if all needed neighbors exist
- if ( grid % on_a_sphere ) then
-
- do i=1,n
- advCells(i+1,iCell) = cell_list(i)
- xc(i) = grid % xCell % array(advCells(i+1,iCell))/a
- yc(i) = grid % yCell % array(advCells(i+1,iCell))/a
- zc(i) = grid % zCell % array(advCells(i+1,iCell))/a
- end do
-
- theta_abs(iCell) = pii/2. - sphere_angle( xc(1), yc(1), zc(1), &
- xc(2), yc(2), zc(2), &
- 0.0_RKIND, 0.0_RKIND, 1.0_RKIND )
-
-! angles from cell center to neighbor centers (thetav)
-
- do i=1,n-1
-
- ip2 = i+2
- if (ip2 > n) ip2 = 2
-
- thetav(i) = sphere_angle( xc(1), yc(1), zc(1), &
- xc(i+1), yc(i+1), zc(i+1), &
- xc(ip2), yc(ip2), zc(ip2) )
-
- dl_sphere(i) = a*arc_length( xc(1), yc(1), zc(1), &
- xc(i+1), yc(i+1), zc(i+1) )
- end do
-
- length_scale = 1.
- do i=1,n-1
- dl_sphere(i) = dl_sphere(i)/length_scale
- end do
-
-! thetat(1) = 0. ! this defines the x direction, cell center 1 ->
- thetat(1) = theta_abs(iCell) ! this defines the x direction, longitude line
- do i=2,n-1
- thetat(i) = thetat(i-1) + thetav(i-1)
- end do
-
- do i=1,n-1
- xp(i) = cos(thetat(i)) * dl_sphere(i)
- yp(i) = sin(thetat(i)) * dl_sphere(i)
- end do
-
- else ! On an x-y plane
-
- do i=1,n-1
-
- angle_2d(i) = grid%angleEdge%array(grid % EdgesOnCell % array(i,iCell))
- iEdge = grid % EdgesOnCell % array(i,iCell)
- if ( iCell .ne. grid % CellsOnEdge % array(1,iEdge)) &
- angle_2d(i) = angle_2d(i) - pii
-
-! xp(i) = grid % xCell % array(cell_list(i)) - grid % xCell % array(iCell)
-! yp(i) = grid % yCell % array(cell_list(i)) - grid % yCell % array(iCell)
-
- xp(i) = grid % dcEdge % array(grid % EdgesOnCell % array(i,iCell)) * cos(angle_2d(i))
- yp(i) = grid % dcEdge % array(grid % EdgesOnCell % array(i,iCell)) * sin(angle_2d(i))
-
- end do
-
- end if
-
-
- ma = n-1
- mw = grid % nEdgesOnCell % array (iCell)
-
- bmatrix = 0.
- amatrix = 0.
- wmatrix = 0.
-
- if (polynomial_order == 2) then
- na = 6
- ma = ma+1
-
- amatrix(1,1) = 1.
- wmatrix(1,1) = 1.
- do i=2,ma
- amatrix(i,1) = 1.
- amatrix(i,2) = xp(i-1)
- amatrix(i,3) = yp(i-1)
- amatrix(i,4) = xp(i-1)**2
- amatrix(i,5) = xp(i-1) * yp(i-1)
- amatrix(i,6) = yp(i-1)**2
-
- wmatrix(i,i) = 1.
- end do
-
- else if (polynomial_order == 3) then
- na = 10
- ma = ma+1
-
- amatrix(1,1) = 1.
- wmatrix(1,1) = 1.
- do i=2,ma
- amatrix(i,1) = 1.
- amatrix(i,2) = xp(i-1)
- amatrix(i,3) = yp(i-1)
-
- amatrix(i,4) = xp(i-1)**2
- amatrix(i,5) = xp(i-1) * yp(i-1)
- amatrix(i,6) = yp(i-1)**2
-
- amatrix(i,7) = xp(i-1)**3
- amatrix(i,8) = yp(i-1) * (xp(i-1)**2)
- amatrix(i,9) = xp(i-1) * (yp(i-1)**2)
- amatrix(i,10) = yp(i-1)**3
-
- wmatrix(i,i) = 1.
-
- end do
-
- else
- na = 15
- ma = ma+1
-
- amatrix(1,1) = 1.
- wmatrix(1,1) = 1.
- do i=2,ma
- amatrix(i,1) = 1.
- amatrix(i,2) = xp(i-1)
- amatrix(i,3) = yp(i-1)
-
- amatrix(i,4) = xp(i-1)**2
- amatrix(i,5) = xp(i-1) * yp(i-1)
- amatrix(i,6) = yp(i-1)**2
-
- amatrix(i,7) = xp(i-1)**3
- amatrix(i,8) = yp(i-1) * (xp(i-1)**2)
- amatrix(i,9) = xp(i-1) * (yp(i-1)**2)
- amatrix(i,10) = yp(i-1)**3
-
- amatrix(i,11) = xp(i-1)**4
- amatrix(i,12) = yp(i-1) * (xp(i-1)**3)
- amatrix(i,13) = (xp(i-1)**2)*(yp(i-1)**2)
- amatrix(i,14) = xp(i-1) * (yp(i-1)**3)
- amatrix(i,15) = yp(i-1)**4
-
- wmatrix(i,i) = 1.
-
- end do
-
- do i=1,mw
- wmatrix(i,i) = 1.
- end do
-
- end if
-
- call sw_poly_fit_2( amatrix, bmatrix, wmatrix, ma, na, 25 )
-
- do i=1,grid % nEdgesOnCell % array (iCell)
- ip1 = i+1
- if (ip1 > n-1) ip1 = 1
-
- iEdge = grid % EdgesOnCell % array (i,iCell)
- xv1 = grid % xVertex % array(grid % verticesOnEdge % array (1,iedge))/a
- yv1 = grid % yVertex % array(grid % verticesOnEdge % array (1,iedge))/a
- zv1 = grid % zVertex % array(grid % verticesOnEdge % array (1,iedge))/a
- xv2 = grid % xVertex % array(grid % verticesOnEdge % array (2,iedge))/a
- yv2 = grid % yVertex % array(grid % verticesOnEdge % array (2,iedge))/a
- zv2 = grid % zVertex % array(grid % verticesOnEdge % array (2,iedge))/a
-
- if ( grid % on_a_sphere ) then
- call sw_arc_bisect( xv1, yv1, zv1, &
- xv2, yv2, zv2, &
- xec, yec, zec )
-
- thetae_tmp = sphere_angle( xc(1), yc(1), zc(1), &
- xc(i+1), yc(i+1), zc(i+1), &
- xec, yec, zec )
- thetae_tmp = thetae_tmp + thetat(i)
- if (iCell == grid % cellsOnEdge % array(1,iEdge)) then
- thetae(1,grid % EdgesOnCell % array (i,iCell)) = thetae_tmp
- else
- thetae(2,grid % EdgesOnCell % array (i,iCell)) = thetae_tmp
- end if
-! else
-!
-! xe(grid % EdgesOnCell % array (i,iCell)) = 0.5 * (xv1 + xv2)
-! ye(grid % EdgesOnCell % array (i,iCell)) = 0.5 * (yv1 + yv2)
-
- end if
-
- end do
-
-! fill second derivative stencil for rk advection
-
- do i=1, grid % nEdgesOnCell % array (iCell)
- iEdge = grid % EdgesOnCell % array (i,iCell)
-
-
- if ( grid % on_a_sphere ) then
- if (iCell == grid % cellsOnEdge % array(1,iEdge)) then
-
- cos2t = cos(thetae(1,grid % EdgesOnCell % array (i,iCell)))
- sin2t = sin(thetae(1,grid % EdgesOnCell % array (i,iCell)))
- costsint = cos2t*sin2t
- cos2t = cos2t**2
- sin2t = sin2t**2
-
- do j=1,n
- deriv_two(j,1,iEdge) = 2.*cos2t*bmatrix(4,j) &
- + 2.*costsint*bmatrix(5,j) &
- + 2.*sin2t*bmatrix(6,j)
- end do
- else
-
- cos2t = cos(thetae(2,grid % EdgesOnCell % array (i,iCell)))
- sin2t = sin(thetae(2,grid % EdgesOnCell % array (i,iCell)))
- costsint = cos2t*sin2t
- cos2t = cos2t**2
- sin2t = sin2t**2
-
- do j=1,n
- deriv_two(j,2,iEdge) = 2.*cos2t*bmatrix(4,j) &
- + 2.*costsint*bmatrix(5,j) &
- + 2.*sin2t*bmatrix(6,j)
- end do
- end if
-
- else
-
- cos2t = cos(angle_2d(i))
- sin2t = sin(angle_2d(i))
- costsint = cos2t*sin2t
- cos2t = cos2t**2
- sin2t = sin2t**2
-
-! do j=1,n
-!
-! deriv_two(j,1,iEdge) = 2.*xe(iEdge)*xe(iEdge)*bmatrix(4,j) &
-! + 2.*xe(iEdge)*ye(iEdge)*bmatrix(5,j) &
-! + 2.*ye(iEdge)*ye(iEdge)*bmatrix(6,j)
-! end do
-
- if (iCell == grid % cellsOnEdge % array(1,iEdge)) then
- do j=1,n
- deriv_two(j,1,iEdge) = 2.*cos2t*bmatrix(4,j) &
- + 2.*costsint*bmatrix(5,j) &
- + 2.*sin2t*bmatrix(6,j)
- end do
- else
- do j=1,n
- deriv_two(j,2,iEdge) = 2.*cos2t*bmatrix(4,j) &
- + 2.*costsint*bmatrix(5,j) &
- + 2.*sin2t*bmatrix(6,j)
- end do
- end if
-
- end if
- end do
-
- end do ! end of loop over cells
-
- if (debug) stop
-
-
-! write(0,*) ' check for deriv2 coefficients, iEdge 4 '
-!
-! iEdge = 4
-! j = 1
-! iCell = grid % cellsOnEdge % array(1,iEdge)
-! write(0,*) ' j, icell, coef ',j,iCell,deriv_two(j,1,iEdge)
-! do j=2,7
-! write(0,*) ' j, icell, coef ',j,grid % CellsOnCell % array(j-1,iCell),deriv_two(j,1,iEdge)
-! end do
-!
-! j = 1
-! iCell = grid % cellsOnEdge % array(2,iEdge)
-! write(0,*) ' j, icell, coef ',j,iCell,deriv_two(j,2,iEdge)
-! do j=2,7
-! write(0,*) ' j, icell, coef ',j,grid % CellsOnCell % array(j-1,iCell),deriv_two(j,2,iEdge)
-! end do
-! stop
-
- end subroutine sw_initialize_advection_rk
-
-
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! FUNCTION SPHERE_ANGLE
- !
- ! Computes the angle between arcs AB and AC, given points A, B, and C
- ! Equation numbers w.r.t. http://mathworld.wolfram.com/SphericalTrigonometry.html
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- real (kind=RKIND) function sphere_angle(ax, ay, az, bx, by, bz, cx, cy, cz)
-
- implicit none
-
- real (kind=RKIND), intent(in) :: ax, ay, az, bx, by, bz, cx, cy, cz
-
- real (kind=RKIND) :: a, b, c ! Side lengths of spherical triangle ABC
-
- real (kind=RKIND) :: ABx, ABy, ABz ! The components of the vector AB
- real (kind=RKIND) :: mAB ! The magnitude of AB
- real (kind=RKIND) :: ACx, ACy, ACz ! The components of the vector AC
- real (kind=RKIND) :: mAC ! The magnitude of AC
-
- real (kind=RKIND) :: Dx ! The i-components of the cross product AB x AC
- real (kind=RKIND) :: Dy ! The j-components of the cross product AB x AC
- real (kind=RKIND) :: Dz ! The k-components of the cross product AB x AC
-
- real (kind=RKIND) :: s ! Semiperimeter of the triangle
- real (kind=RKIND) :: sin_angle
-
- a = acos(max(min(bx*cx + by*cy + bz*cz,1.0_RKIND),-1.0_RKIND)) ! Eqn. (3)
- b = acos(max(min(ax*cx + ay*cy + az*cz,1.0_RKIND),-1.0_RKIND)) ! Eqn. (2)
- c = acos(max(min(ax*bx + ay*by + az*bz,1.0_RKIND),-1.0_RKIND)) ! Eqn. (1)
-
- ABx = bx - ax
- ABy = by - ay
- ABz = bz - az
-
- ACx = cx - ax
- ACy = cy - ay
- ACz = cz - az
-
- Dx = (ABy * ACz) - (ABz * ACy)
- Dy = -((ABx * ACz) - (ABz * ACx))
- Dz = (ABx * ACy) - (ABy * ACx)
-
- s = 0.5*(a + b + c)
-! sin_angle = sqrt((sin(s-b)*sin(s-c))/(sin(b)*sin(c))) ! Eqn. (28)
- sin_angle = sqrt(min(1.0_RKIND,max(0.0_RKIND,(sin(s-b)*sin(s-c))/(sin(b)*sin(c))))) ! Eqn. (28)
-
- if ((Dx*ax + Dy*ay + Dz*az) >= 0.0) then
- sphere_angle = 2.0 * asin(max(min(sin_angle,1.0_RKIND),-1.0_RKIND))
- else
- sphere_angle = -2.0 * asin(max(min(sin_angle,1.0_RKIND),-1.0_RKIND))
- end if
-
- end function sphere_angle
-
-
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! FUNCTION PLANE_ANGLE
- !
- ! Computes the angle between vectors AB and AC, given points A, B, and C, and
- ! a vector (u,v,w) normal to the plane.
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- real (kind=RKIND) function plane_angle(ax, ay, az, bx, by, bz, cx, cy, cz, u, v, w)
-
- implicit none
-
- real (kind=RKIND), intent(in) :: ax, ay, az, bx, by, bz, cx, cy, cz, u, v, w
-
- real (kind=RKIND) :: ABx, ABy, ABz ! The components of the vector AB
- real (kind=RKIND) :: mAB ! The magnitude of AB
- real (kind=RKIND) :: ACx, ACy, ACz ! The components of the vector AC
- real (kind=RKIND) :: mAC ! The magnitude of AC
-
- real (kind=RKIND) :: Dx ! The i-components of the cross product AB x AC
- real (kind=RKIND) :: Dy ! The j-components of the cross product AB x AC
- real (kind=RKIND) :: Dz ! The k-components of the cross product AB x AC
-
- real (kind=RKIND) :: cos_angle
-
- ABx = bx - ax
- ABy = by - ay
- ABz = bz - az
- mAB = sqrt(ABx**2.0 + ABy**2.0 + ABz**2.0)
-
- ACx = cx - ax
- ACy = cy - ay
- ACz = cz - az
- mAC = sqrt(ACx**2.0 + ACy**2.0 + ACz**2.0)
-
-
- Dx = (ABy * ACz) - (ABz * ACy)
- Dy = -((ABx * ACz) - (ABz * ACx))
- Dz = (ABx * ACy) - (ABy * ACx)
-
- cos_angle = (ABx*ACx + ABy*ACy + ABz*ACz) / (mAB * mAC)
-
- if ((Dx*u + Dy*v + Dz*w) >= 0.0) then
- plane_angle = acos(max(min(cos_angle,1.0_RKIND),-1.0_RKIND))
- else
- plane_angle = -acos(max(min(cos_angle,1.0_RKIND),-1.0_RKIND))
- end if
-
- end function plane_angle
-
-
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! FUNCTION ARC_LENGTH
- !
- ! Returns the length of the great circle arc from A=(ax, ay, az) to
- ! B=(bx, by, bz). It is assumed that both A and B lie on the surface of the
- ! same sphere centered at the origin.
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- real (kind=RKIND) function arc_length(ax, ay, az, bx, by, bz)
-
- implicit none
-
- real (kind=RKIND), intent(in) :: ax, ay, az, bx, by, bz
-
- real (kind=RKIND) :: r, c
- real (kind=RKIND) :: cx, cy, cz
-
- cx = bx - ax
- cy = by - ay
- cz = bz - az
-
-! r = ax*ax + ay*ay + az*az
-! c = cx*cx + cy*cy + cz*cz
-!
-! arc_length = sqrt(r) * acos(1.0 - c/(2.0*r))
-
- r = sqrt(ax*ax + ay*ay + az*az)
- c = sqrt(cx*cx + cy*cy + cz*cz)
-! arc_length = sqrt(r) * 2.0 * asin(c/(2.0*r))
- arc_length = r * 2.0 * asin(c/(2.0*r))
-
- end function arc_length
-
-
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! subroutine sw_arc_bisect
- !
- ! Returns the point C=(cx, cy, cz) that bisects the great circle arc from
- ! A=(ax, ay, az) to B=(bx, by, bz). It is assumed that A and B lie on the
- ! surface of a sphere centered at the origin.
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- subroutine sw_arc_bisect(ax, ay, az, bx, by, bz, cx, cy, cz)
-
- implicit none
-
- real (kind=RKIND), intent(in) :: ax, ay, az, bx, by, bz
- real (kind=RKIND), intent(out) :: cx, cy, cz
-
- real (kind=RKIND) :: r ! Radius of the sphere
- real (kind=RKIND) :: d
-
- r = sqrt(ax*ax + ay*ay + az*az)
-
- cx = 0.5*(ax + bx)
- cy = 0.5*(ay + by)
- cz = 0.5*(az + bz)
-
- if (cx == 0. .and. cy == 0. .and. cz == 0.) then
- write(0,*) 'Error: arc_bisect: A and B are diametrically opposite'
- else
- d = sqrt(cx*cx + cy*cy + cz*cz)
- cx = r * cx / d
- cy = r * cy / d
- cz = r * cz / d
- end if
-
- end subroutine sw_arc_bisect
-
-
- subroutine sw_poly_fit_2(a_in,b_out,weights_in,m,n,ne)
-
- implicit none
-
- integer, intent(in) :: m,n,ne
- real (kind=RKIND), dimension(ne,ne), intent(in) :: a_in, weights_in
- real (kind=RKIND), dimension(ne,ne), intent(out) :: b_out
-
- ! local storage
-
- real (kind=RKIND), dimension(m,n) :: a
- real (kind=RKIND), dimension(n,m) :: b
- real (kind=RKIND), dimension(m,m) :: w,wt,h
- real (kind=RKIND), dimension(n,m) :: at, ath
- real (kind=RKIND), dimension(n,n) :: ata, ata_inv, atha, atha_inv
- integer, dimension(n) :: indx
- integer :: i,j
-
- if ( (ne<n) .or. (ne<m) ) then
- write(6,*) ' error in poly_fit_2 inversion ',m,n,ne
- stop
- end if
-
-! a(1:m,1:n) = a_in(1:n,1:m)
- a(1:m,1:n) = a_in(1:m,1:n)
- w(1:m,1:m) = weights_in(1:m,1:m)
- b_out(:,:) = 0.
-
- wt = transpose(w)
- h = matmul(wt,w)
- at = transpose(a)
- ath = matmul(at,h)
- atha = matmul(ath,a)
-
- ata = matmul(at,a)
-
-! if (m == n) then
-! call sw_migs(a,n,b,indx)
-! else
-
- call sw_migs(atha,n,atha_inv,indx)
-
- b = matmul(atha_inv,ath)
-
-! call sw_migs(ata,n,ata_inv,indx)
-! b = matmul(ata_inv,at)
-! end if
- b_out(1:n,1:m) = b(1:n,1:m)
-
-! do i=1,n
-! write(6,*) ' i, indx ',i,indx(i)
-! end do
-!
-! write(6,*) ' '
-
- end subroutine sw_poly_fit_2
-
-
-! Updated 10/24/2001.
-!
-!!!!!!!!!!!!!!!!!!!!!!!!!!! Program 4.4 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-!
-!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-! !
-! Please Note: !
-! !
-! (1) This computer program is written by Tao Pang in conjunction with !
-! his book, "An Introduction to Computational Physics," published !
-! by Cambridge University Press in 1997. !
-! !
-! (2) No warranties, express or implied, are made for this program. !
-! !
-!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-!
-subroutine sw_migs (A,N,X,INDX)
-!
-! subroutine to invert matrix A(N,N) with the inverse stored
-! in X(N,N) in the output. Copyright (c) Tao Pang 2001.
-!
- IMPLICIT NONE
- INTEGER, INTENT (IN) :: N
- INTEGER :: I,J,K
- INTEGER, INTENT (OUT), DIMENSION (N) :: INDX
- REAL (kind=RKIND), INTENT (INOUT), DIMENSION (N,N):: A
- REAL (kind=RKIND), INTENT (OUT), DIMENSION (N,N):: X
- REAL (kind=RKIND), DIMENSION (N,N) :: B
-!
- DO I = 1, N
- DO J = 1, N
- B(I,J) = 0.0
- END DO
- END DO
- DO I = 1, N
- B(I,I) = 1.0
- END DO
-!
- call sw_elgs (A,N,INDX)
-!
- DO I = 1, N-1
- DO J = I+1, N
- DO K = 1, N
- B(INDX(J),K) = B(INDX(J),K)-A(INDX(J),I)*B(INDX(I),K)
- END DO
- END DO
- END DO
-!
- DO I = 1, N
- X(N,I) = B(INDX(N),I)/A(INDX(N),N)
- DO J = N-1, 1, -1
- X(J,I) = B(INDX(J),I)
- DO K = J+1, N
- X(J,I) = X(J,I)-A(INDX(J),K)*X(K,I)
- END DO
- X(J,I) = X(J,I)/A(INDX(J),J)
- END DO
- END DO
-end subroutine sw_migs
-
-
-subroutine sw_elgs (A,N,INDX)
-!
-! subroutine to perform the partial-pivoting Gaussian elimination.
-! A(N,N) is the original matrix in the input and transformed matrix
-! plus the pivoting element ratios below the diagonal in the output.
-! INDX(N) records the pivoting order. Copyright (c) Tao Pang 2001.
-!
- IMPLICIT NONE
- INTEGER, INTENT (IN) :: N
- INTEGER :: I,J,K,ITMP
- INTEGER, INTENT (OUT), DIMENSION (N) :: INDX
- REAL (kind=RKIND) :: C1,PI,PI1,PJ
- REAL (kind=RKIND), INTENT (INOUT), DIMENSION (N,N) :: A
- REAL (kind=RKIND), DIMENSION (N) :: C
-!
-! Initialize the index
-!
- DO I = 1, N
- INDX(I) = I
- END DO
-!
-! Find the rescaling factors, one from each row
-!
- DO I = 1, N
- C1= 0.0
- DO J = 1, N
- C1 = MAX(C1,ABS(A(I,J)))
- END DO
- C(I) = C1
- END DO
-!
-! Search the pivoting (largest) element from each column
-!
- DO J = 1, N-1
- PI1 = 0.0
- DO I = J, N
- PI = ABS(A(INDX(I),J))/C(INDX(I))
- IF (PI.GT.PI1) THEN
- PI1 = PI
- K = I
- ENDIF
- END DO
-!
-! Interchange the rows via INDX(N) to record pivoting order
-!
- ITMP = INDX(J)
- INDX(J) = INDX(K)
- INDX(K) = ITMP
- DO I = J+1, N
- PJ = A(INDX(I),J)/A(INDX(J),J)
-!
-! Record pivoting ratios below the diagonal
-!
- A(INDX(I),J) = PJ
-!
-! Modify other elements accordingly
-!
- DO K = J+1, N
- A(INDX(I),K) = A(INDX(I),K)-PJ*A(INDX(J),K)
- END DO
- END DO
- END DO
-!
-end subroutine sw_elgs
-
-!-------------------------------------------------------------
-
- subroutine sw_initialize_deformation_weights( grid )
-
-!
-! compute the cell coefficients for the deformation calculations
-! WCS, 13 July 2010
-!
- implicit none
-
- type (mesh_type), intent(in) :: grid
-
- real (kind=RKIND), dimension(:,:), pointer :: defc_a, defc_b
- integer, dimension(:,:), pointer :: cellsOnEdge, edgesOnCell
-
-! local variables
-
- real (kind=RKIND), dimension(2, grid % nEdges) :: thetae
- real (kind=RKIND), dimension(grid % nEdges) :: xe, ye
- real (kind=RKIND), dimension(grid % nCells) :: theta_abs
-
- real (kind=RKIND), dimension(25) :: xc, yc, zc ! cell center coordinates
- real (kind=RKIND), dimension(25) :: thetav, thetat, dl_sphere
- real (kind=RKIND) :: xm, ym, zm, dl, xec, yec, zec
- real (kind=RKIND) :: thetae_tmp, xe_tmp, ye_tmp
- real (kind=RKIND) :: xv1, xv2, yv1, yv2, zv1, zv2
- integer :: i, j, k, ip1, ip2, m, n, ip1a, ii
- integer :: iCell, iEdge
- real (kind=RKIND) :: pii
- real (kind=RKIND) :: x0, y0, x1, y1, x2, y2, x3, y3, x4, y4, x5, y5
- real (kind=RKIND) :: pdx1, pdx2, pdx3, pdy1, pdy2, pdy3, dx1, dx2, dy1, dy2
- real (kind=RKIND) :: angv1, angv2, dl1, dl2
- real (kind=RKIND), dimension(25) :: dxe, dye, x2v, y2v, xp, yp, xpt, ypt
-
- real (kind=RKIND) :: length_scale
- integer :: ma,na, cell_add, mw, nn
- integer, dimension(25) :: cell_list
-
- integer :: cell1, cell2, iv
- logical :: do_the_cell
- real (kind=RKIND) :: area_cell, sint2, cost2, sint_cost, sumw1, sumw2, xptt, area_cellt
-
- logical, parameter :: debug = .false.
-
- if (debug) write(0,*) ' in def weight calc '
-
- defc_a => grid % defc_a % array
- defc_b => grid % defc_b % array
- cellsOnEdge => grid % cellsOnEdge % array
- edgesOnCell => grid % edgesOnCell % array
-
- defc_a(:,:) = 0.
- defc_b(:,:) = 0.
-
- pii = 2.*asin(1.0)
-
- if (debug) write(0,*) ' beginning cell loop '
-
- do iCell = 1, grid % nCells
-
- if (debug) write(0,*) ' cell loop ', iCell
-
- cell_list(1) = iCell
- do i=2, grid % nEdgesOnCell % array(iCell)+1
- cell_list(i) = grid % CellsOnCell % array(i-1,iCell)
- end do
- n = grid % nEdgesOnCell % array(iCell) + 1
-
-! check to see if we are reaching outside the halo
-
- if (debug) write(0,*) ' points ', n
-
- do_the_cell = .true.
- do i=1,n
- if (cell_list(i) > grid % nCells) do_the_cell = .false.
- end do
-
-
- if (.not. do_the_cell) cycle
-
-
-! compute poynomial fit for this cell if all needed neighbors exist
- if (grid % on_a_sphere) then
-
- xc(1) = grid % xCell % array(iCell)/a
- yc(1) = grid % yCell % array(iCell)/a
- zc(1) = grid % zCell % array(iCell)/a
-
-
- do i=2,n
- iv = grid % verticesOnCell % array(i-1,iCell)
- xc(i) = grid % xVertex % array(iv)/a
- yc(i) = grid % yVertex % array(iv)/a
- zc(i) = grid % zVertex % array(iv)/a
- end do
-
- theta_abs(iCell) = pii/2. - sphere_angle( xc(1), yc(1), zc(1), &
- xc(2), yc(2), zc(2), &
- 0.0_RKIND, 0.0_RKIND, 1.0_RKIND )
-
-! angles from cell center to neighbor centers (thetav)
-
- do i=1,n-1
-
- ip2 = i+2
- if (ip2 > n) ip2 = 2
-
- thetav(i) = sphere_angle( xc(1), yc(1), zc(1), &
- xc(i+1), yc(i+1), zc(i+1), &
- xc(ip2), yc(ip2), zc(ip2) )
-
- dl_sphere(i) = a*arc_length( xc(1), yc(1), zc(1), &
- xc(i+1), yc(i+1), zc(i+1) )
- end do
-
- length_scale = 1.
- do i=1,n-1
- dl_sphere(i) = dl_sphere(i)/length_scale
- end do
-
- thetat(1) = 0. ! this defines the x direction, cell center 1 ->
-! thetat(1) = theta_abs(iCell) ! this defines the x direction, longitude line
- do i=2,n-1
- thetat(i) = thetat(i-1) + thetav(i-1)
- end do
-
- do i=1,n-1
- xp(i) = cos(thetat(i)) * dl_sphere(i)
- yp(i) = sin(thetat(i)) * dl_sphere(i)
- end do
-
- else ! On an x-y plane
-
- xp(1) = grid % xCell % array(iCell)
- yp(1) = grid % yCell % array(iCell)
-
-
- do i=2,n
- iv = grid % verticesOnCell % array(i-1,iCell)
- xp(i) = grid % xVertex % array(iv)
- yp(i) = grid % yVertex % array(iv)
- end do
-
- end if
-
-! thetat(1) = 0.
- thetat(1) = theta_abs(iCell)
- do i=2,n-1
- ip1 = i+1
- if (ip1 == n) ip1 = 1
- thetat(i) = plane_angle( 0.0_RKIND, 0.0_RKIND, 0.0_RKIND, &
- xp(i)-xp(i-1), yp(i)-yp(i-1), 0.0_RKIND, &
- xp(ip1)-xp(i), yp(ip1)-yp(i), 0.0_RKIND, &
- 0.0_RKIND, 0.0_RKIND, 1.0_RKIND)
- thetat(i) = thetat(i) + thetat(i-1)
- end do
-
- area_cell = 0.
- area_cellt = 0.
- do i=1,n-1
- ip1 = i+1
- if (ip1 == n) ip1 = 1
- dl = sqrt((xp(ip1)-xp(i))**2 + (yp(ip1)-yp(i))**2)
- area_cell = area_cell + 0.25*(xp(i)+xp(ip1))*(yp(ip1)-yp(i)) - 0.25*(yp(i)+yp(ip1))*(xp(ip1)-xp(i))
- area_cellt = area_cellt + (0.25*(xp(i)+xp(ip1))*cos(thetat(i)) + 0.25*(yp(i)+yp(ip1))*sin(thetat(i)))*dl
- end do
- if (debug) write(0,*) ' area_cell, area_cellt ',area_cell, area_cellt,area_cell-area_cellt
-
- do i=1,n-1
- ip1 = i+1
- if (ip1 == n) ip1 = 1
- dl = sqrt((xp(ip1)-xp(i))**2 + (yp(ip1)-yp(i))**2)
- sint2 = (sin(thetat(i)))**2
- cost2 = (cos(thetat(i)))**2
- sint_cost = sin(thetat(i))*cos(thetat(i))
- defc_a(i,iCell) = dl*(cost2 - sint2)/area_cell
- defc_b(i,iCell) = dl*2.*sint_cost/area_cell
- if (cellsOnEdge(1,EdgesOnCell(i,iCell)) /= iCell) then
- defc_a(i,iCell) = - defc_a(i,iCell)
- defc_b(i,iCell) = - defc_b(i,iCell)
- end if
-
- end do
-
- end do
-
- if (debug) write(0,*) ' exiting def weight calc '
-
- end subroutine sw_initialize_deformation_weights
-
-end module sw_advection
Deleted: branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_global_diagnostics.F
===================================================================
--- branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_global_diagnostics.F 2013-01-31 17:07:49 UTC (rev 2404)
+++ branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_global_diagnostics.F 2013-01-31 18:02:47 UTC (rev 2405)
@@ -1,384 +0,0 @@
-module sw_global_diagnostics
-
- use mpas_grid_types
- use mpas_configure
- use mpas_constants
- use mpas_dmpar
-
- implicit none
- save
- public
-
- contains
-
- subroutine sw_compute_global_diagnostics(dminfo, state, grid, timeIndex, dt)
-
- ! Note: this routine assumes that there is only one block per processor. No looping
- ! is preformed over blocks.
- ! dminfo is the domain info needed for global communication
- ! state contains the state variables needed to compute global diagnostics
- ! grid conains the meta data about the grid
- ! timeIndex is the current time step counter
- ! dt is the duration of each time step
-
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! INSTRUCTIONS !
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! To add a new Diagnostic as a Global Stat, follow these steps.
- ! 1. Define the array to integrate, and the variable for the value above.
- ! 2. Allocate the array with the correct dimensions.
- ! 3. Fill the array with the data to be integrated.
- ! eg. GlobalFluidThickness = Sum(h dA)/Sum(dA), See below for array filling
- ! 4. Call Function to compute Global Stat that you want.
- ! 5. Finish computing the global stat/integral
- ! 6. Write out your global stat to the file
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (dm_info), intent(in) :: dminfo
- type (state_type), intent(inout) :: state
- type (mesh_type), intent(in) :: grid
- integer, intent(in) :: timeIndex
- real (kind=RKIND), intent(in) :: dt
-
- integer :: nVertLevels, nCellsSolve, nEdgesSolve, nVerticesSolve, nCellsGlobal, nEdgesGlobal, nVerticesGlobal, iTracer
- integer :: nCells
-
- ! Step 1
- ! 1. Define the array to integrate, and the variable for the value to be stored in after the integration
- real (kind=RKIND), dimension(:), pointer :: areaCell, dcEdge, dvEdge, areaTriangle, h_s, fCell, fEdge
- real (kind=RKIND), dimension(:,:), pointer :: h, u, v, h_edge, pv_edge, pv_vertex, pv_cell, h_vertex, weightsOnEdge
-
- real (kind=RKIND), dimension(:,:,:), pointer :: tracers
-
- real (kind=RKIND), dimension(:), allocatable :: volumeWeightedPotentialEnergyReservoir, averageThickness
- real (kind=RKIND), dimension(:), allocatable :: potentialEnstrophyReservior, areaEdge, h_s_edge
-
- real (kind=RKIND), dimension(:,:), allocatable :: cellVolume, cellArea, volumeWeightedPotentialVorticity
- real (kind=RKIND), dimension(:,:), allocatable :: volumeWeightedPotentialEnstrophy, vertexVolume, volumeWeightedKineticEnergy
- real (kind=RKIND), dimension(:,:), allocatable :: volumeWeightedPotentialEnergy, volumeWeightedPotentialEnergyTopography
- real (kind=RKIND), dimension(:,:), allocatable :: keTend_CoriolisForce, keTend_PressureGradient
- real (kind=RKIND), dimension(:,:), allocatable ::peTend_DivThickness, refAreaWeightedSurfaceHeight, refAreaWeightedSurfaceHeight_edge
-
- real (kind=RKIND) :: sumCellVolume, sumCellArea, sumVertexVolume, sumrefAreaWeightedSurfaceHeight
-
- real (kind=RKIND) :: globalFluidThickness, globalPotentialVorticity, globalPotentialEnstrophy, globalEnergy
- real (kind=RKIND) :: globalCoriolisEnergyTendency, globalKEPETendency, globalPotentialEnstrophyReservoir
- real (kind=RKIND) :: globalKineticEnergy, globalPotentialEnergy, globalPotentialEnergyReservoir
- real (kind=RKIND) :: globalKineticEnergyTendency, globalPotentialEnergyTendency
- real (kind=RKIND) :: global_temp, workpv, q
- real (kind=RKIND) :: volumeCellGlobal, volumeEdgeGlobal, CFLNumberGlobal
-
- integer :: elementIndex, variableIndex, nVariables, nSums, nMaxes, nMins
- integer :: timeLevel, eoe, iLevel, iCell, iEdge, iVertex
- integer :: fileID, iCell1, iCell2, j
-
- integer, dimension(:,:), pointer :: cellsOnEdge, edgesOnCell, edgesOnEdge
- integer, dimension(:), pointer :: nEdgesOnEdge
-
- cellsOnEdge => grid % cellsOnEdge % array
- edgesOnCell => grid % edgesOnCell % array
-
- nVertLevels = grid % nVertLevels
- nCellsSolve = grid % nCellsSolve
- nEdgesSolve = grid % nEdgesSolve
- nVerticesSolve = grid % nVerticesSolve
- nCells = grid % nCells
-
- h_s => grid % h_s % array
- areaCell => grid % areaCell % array
- dcEdge => grid % dcEdge % array
- dvEdge => grid % dvEdge % array
- areaTriangle => grid % areaTriangle % array
- fCell => grid % fCell % array
- fEdge => grid % fEdge % array
- edgesOnEdge => grid % edgesOnEdge % array
- nEdgesOnEdge => grid % nEdgesOnEdge % array
-
- allocate(areaEdge(1:nEdgesSolve))
- areaEdge = dcEdge(1:nEdgesSolve)*dvEdge(1:nEdgesSolve)
- weightsOnEdge => grid % weightsOnEdge % array
-
- h => state % h % array
- u => state % u % array
- v => state % v % array
- tracers => state % tracers % array
- h_edge => state % h_edge % array
- h_vertex => state % h_vertex % array
- pv_edge => state % pv_edge % array
- pv_vertex => state % pv_vertex % array
- pv_cell => state % pv_cell % array
-
- ! Step 2
- ! 2. Allocate the array with the correct dimensions.
- allocate(cellVolume(nVertLevels,nCellsSolve))
- allocate(cellArea(nVertLevels,nCellsSolve))
- allocate(refAreaWeightedSurfaceHeight(nVertLevels,nCellsSolve))
- allocate(refAreaWeightedSurfaceHeight_edge(nVertLevels,nEdgesSolve))
- allocate(volumeWeightedPotentialVorticity(nVertLevels,nVerticesSolve))
- allocate(volumeWeightedPotentialEnstrophy(nVertLevels,nVerticesSolve))
- allocate(potentialEnstrophyReservior(nCellsSolve))
- allocate(vertexVolume(nVertLevels,nVerticesSolve))
- allocate(volumeWeightedKineticEnergy(nVertLevels,nEdgesSolve))
- allocate(volumeWeightedPotentialEnergy(nVertLevels,nCellsSolve))
- allocate(volumeWeightedPotentialEnergyTopography(nVertLevels,nCellsSolve))
- allocate(volumeWeightedPotentialEnergyReservoir(nCellsSolve))
- allocate(keTend_CoriolisForce(nVertLevels,nEdgesSolve))
- allocate(keTend_PressureGradient(nVertLevels,nEdgesSolve))
- allocate(peTend_DivThickness(nVertLevels,nCells))
-
- allocate(averageThickness(nCellsSolve))
-
- allocate(h_s_edge(nEdgesSOlve))
-
-
- cellVolume = 0
- refAreaWeightedSurfaceHeight = 0
- refAreaWeightedSurfaceHeight_edge = 0
- vertexVolume = 0
- cellArea = 0
- averageThickness = 0
- volumeWeightedPotentialVorticity = 0
- volumeWeightedPotentialEnstrophy = 0
- volumeWeightedKineticEnergy = 0
- volumeWeightedPotentialEnergy = 0
- volumeWeightedPotentialEnergyTopography = 0
- volumeWeightedPotentialEnergyReservoir = 0
- keTend_PressureGradient = 0
- peTend_DivThickness = 0
- keTend_CoriolisForce = 0
- h_s_edge = 0
-
- ! Build Arrays for Global Integrals
- ! Step 3
- ! 3. Fill the array with the data to be integrated.
- ! eg. GlobalFluidThickness = Sum(h dA)/Sum(dA), See below for array filling
- do iLevel = 1,nVertLevels
- ! eg. GlobalFluidThickness top (Sum( h dA)) = Sum(cellVolume)
- cellVolume(iLevel,:) = h(iLevel,1:nCellsSolve)*areaCell(1:nCellsSolve)
- ! eg. GlobalFluidThickness bot (Sum(dA)) = Sum(cellArea)
- cellArea(iLevel,:) = areaCell(1:nCellsSolve)
- volumeWeightedPotentialVorticity(iLevel,:) = pv_vertex(iLevel,1:nVerticesSolve) &
- *h_vertex(iLevel,1:nVerticesSolve)*areaTriangle(1:nVerticesSolve)
- volumeWeightedPotentialEnstrophy(iLevel,:) = pv_vertex(iLevel,1:nVerticesSolve) &
- *pv_vertex(iLevel,1:nVerticesSolve)*h_vertex(iLevel,1:nVerticesSolve)*areaTriangle(1:nVerticesSolve)
- vertexVolume(iLevel,:) = h_vertex(iLevel,1:nVerticesSolve)*areaTriangle(1:nVerticesSolve)
- volumeWeightedKineticEnergy(iLevel,:) = u(iLevel,1:nEdgesSolve)*u(iLevel,1:nEdgesSolve) &
- *h_edge(iLevel,1:nEdgesSolve)*areaEdge(1:nEdgesSolve)*0.5
- volumeWeightedPotentialEnergy(iLevel,:) = gravity*h(iLevel,1:nCellsSolve)*h(iLevel,1:nCellsSolve)*areaCell(1:nCellsSolve)*0.5
- volumeWeightedPotentialEnergyTopography(iLevel,:) = gravity*h(iLevel,1:nCellsSolve)*h_s(1:nCellsSolve)*areaCell(1:nCellsSolve)
- refAreaWeightedSurfaceHeight(iLevel,:) = areaCell(1:nCellsSolve)*(h(iLevel,1:nCellsSolve)+h_s(1:nCellsSolve))
-
- do iEdge = 1,nEdgesSolve
- q = 0.0
- do j = 1,nEdgesOnEdge(iEdge)
- eoe = edgesOnEdge(j,iEdge)
- workpv = 0.5 * (pv_edge(iLevel,iEdge) + pv_edge(iLevel,eoe))
- q = q + weightsOnEdge(j,iEdge) * u(iLevel,eoe) * workpv * h_edge(iLevel,eoe)
- end do
- keTend_CoriolisForce(iLevel,iEdge) = h_edge(iLevel,iEdge) * u(iLevel,iEdge) * q * areaEdge(iEdge)
-
- iCell1 = cellsOnEdge(1,iEdge)
- iCell2 = cellsOnEdge(2,iEdge)
-
- refAreaWeightedSurfaceHeight_edge(iLevel,iEdge) = areaEdge(iEdge)*(h_edge(iLevel,iEdge) + 0.5*(h_s(iCell1) + h_s(iCell2)))
-
- keTend_PressureGradient(iLevel,iEdge) = areaEdge(iEdge)*h_edge(iLevel,iEdge)*u(iLevel,iEdge) &
- *gravity*(h(iLevel,iCell2)+h_s(iCell2) - h(iLevel,iCell1)-h_s(iCell1))/dcEdge(iEdge)
- peTend_DivThickness(iLevel,iCell1) = peTend_DivThickness(iLevel,iCell1) &
- + h_edge(iLevel,iEdge)*u(iLevel,iEdge)*dvEdge(iEdge)
- peTend_DivThickness(iLevel,iCell2) = peTend_DivThickness(iLevel,iCell2) &
- - h_edge(iLevel,iEdge)*u(iLevel,iEdge)*dvEdge(iEdge)
- end do
-
- peTend_DivThickness(iLevel,:) = peTend_DivThickness(iLevel,1:nCells)*gravity &
- *(h(iLevel,1:nCells)+h_s(1:nCells))
- end do
-
- do iEdge = 1,nEdgesSolve
- iCell1 = cellsOnEdge(1,iEdge)
- iCell2 = cellsOnEdge(2,iEdge)
-
- h_s_edge(iEdge) = 0.5*(h_s(iCell1) + h_s(iCell2))
- end do
-
- ! Step 4
- ! 4. Call Function to compute Global Stat that you want.
- ! Computing Kinetic and Potential Energy Tendency Terms
- call sw_compute_global_sum(dminfo, nVertLevels, nEdgesSolve, keTend_PressureGradient, globalKineticEnergyTendency)
- call sw_compute_global_sum(dminfo, nVertLevels, nCells, peTend_DivThickness, globalPotentialEnergyTendency)
-
- ! Computing top and bottom of global mass integral
- call sw_compute_global_sum(dminfo, nVertLevels, nCellsSolve, cellVolume, sumCellVolume)
- call sw_compute_global_sum(dminfo, nVertLevels, nCellsSolve, cellArea, sumCellArea)
-
- globalKineticEnergyTendency = globalKineticEnergyTendency / sumCellVolume
- globalPotentialEnergyTendency = globalPotentialEnergyTendency / sumCellVolume
-
- ! Step 5
- ! 5. Finish computing the global stat/integral
- globalFluidThickness = sumCellVolume/sumCellArea
-
- ! Compute Average Sea Surface Height for Potential Energy and Enstrophy
- ! Reservoir computations
- call sw_compute_global_sum(dminfo, nVertLevels, nCellsSolve, refAreaWeightedSurfaceHeight, sumrefAreaWeightedSurfaceHeight)
-
- averageThickness(:) = (sumrefAreaWeightedSurfaceHeight/sumCellArea)-h_s(1:nCellsSolve)
-
- ! Compute Volume Weighted Averages of Potential Vorticity and Potential Enstrophy
- call sw_compute_global_sum(dminfo, nVertLevels, nVerticesSolve, volumeWeightedPotentialVorticity, globalPotentialVorticity)
- call sw_compute_global_sum(dminfo, nVertLevels, nVerticesSolve, volumeWeightedPotentialEnstrophy, globalPotentialEnstrophy)
- call sw_compute_global_sum(dminfo, nVertLevels, nVerticesSolve, vertexVolume, sumVertexVolume)
-
- globalPotentialVorticity = globalPotentialVorticity/sumVertexVolume
- globalPotentialEnstrophy = globalPotentialEnstrophy/sumVertexVolume
-
- ! Compte Potential Enstrophy Reservior
- potentialEnstrophyReservior(:) = areaCell(:)*fCell(:)*fCell(:)/averageThickness
- call sw_compute_global_sum(dminfo, 1, nCellsSolve, potentialEnstrophyReservior, globalPotentialEnstrophyReservoir)
- globalPotentialEnstrophyReservoir = globalPotentialEnstrophyReservoir/sumCellVolume
-
- globalPotentialEnstrophy = globalPotentialEnstrophy - globalPotentialEnstrophyReservoir
-
- ! Compute Kinetic and Potential Energy terms to be combined into total energy
- call sw_compute_global_sum(dminfo, nVertLevels, nEdgesSolve, volumeWeightedKineticEnergy, globalKineticEnergy)
- call sw_compute_global_sum(dminfo, nVertLevels, nCellsSolve, volumeWeightedPotentialEnergy, globalPotentialEnergy)
- call sw_compute_global_sum(dminfo, nVertLevels, nCellsSolve, volumeWeightedPotentialEnergyTopography, global_temp)
-
- globalKineticEnergy = globalKineticEnergy/sumCellVolume
- globalPotentialEnergy = (globalPotentialEnergy + global_temp)/sumCellVolume
-
- ! Compute Potential energy reservoir to be subtracted from potential energy term
- volumeWeightedPotentialEnergyReservoir(1:nCellsSolve) = areaCell(1:nCellsSolve)*averageThickness*averageThickness*gravity*0.5
- call sw_compute_global_sum(dminfo, nVertLevels, nCellsSolve, volumeWeightedPotentialEnergyReservoir, globalPotentialEnergyReservoir)
- volumeWeightedPotentialEnergyReservoir(1:nCellsSolve) = areaCell(1:nCellsSolve)*averageThickness*h_s(1:nCellsSolve)*gravity
- call sw_compute_global_sum(dminfo, nVertLevels, nCellsSolve, volumeWeightedPotentialEnergyReservoir, global_temp)
-
- globalPotentialEnergyReservoir = (globalPotentialEnergyReservoir + global_temp)/sumCellVolume
-
- globalPotentialEnergy = globalPotentialEnergy - globalPotentialEnergyReservoir
- globalEnergy = globalKineticEnergy + globalPotentialEnergy
-
- ! Compute Coriolis energy tendency term
- call sw_compute_global_sum(dminfo, nVertLevels, nEdgesSolve, keTend_CoriolisForce, globalCoriolisEnergyTendency)
- globalCoriolisEnergyTendency = globalCoriolisEnergyTendency/sumCellVolume
-
- ! Step 6
- ! 6. Write out your global stat to the file
- if (dminfo % my_proc_id == IO_NODE) then
- fileID = sw_get_free_unit()
-
- if (timeIndex/config_stats_interval == 1) then
- open(fileID, file='GlobalIntegrals.txt',STATUS='unknown')
- else
- open(fileID, file='GlobalIntegrals.txt',POSITION='append')
- endif
- write(fileID,'(1i0, 100es24.16)') timeIndex, timeIndex*dt, globalFluidThickness, globalPotentialVorticity, globalPotentialEnstrophy, &
- globalEnergy, globalCoriolisEnergyTendency, globalKineticEnergyTendency+globalPotentialEnergyTendency, &
- globalKineticEnergy, globalPotentialEnergy
- close(fileID)
- end if
-
- deallocate(areaEdge)
- end subroutine sw_compute_global_diagnostics
-
- integer function sw_get_free_unit()
- implicit none
-
- integer :: index
- logical :: isOpened
-
- sw_get_free_unit = 0
- do index = 1,99
- if((index /= 5) .and. (index /= 6)) then
- inquire(unit = index, opened = isOpened)
- if( .not. isOpened) then
- sw_get_free_unit = index
- return
- end if
- end if
- end do
- end function sw_get_free_unit
-
- subroutine sw_compute_global_sum(dminfo, nVertLevels, nElements, field, globalSum)
-
- implicit none
-
- type (dm_info), intent(in) :: dminfo
- integer, intent(in) :: nVertLevels, nElements
- real (kind=RKIND), dimension(nVertLevels, nElements), intent(in) :: field
- real (kind=RKIND), intent(out) :: globalSum
-
- real (kind=RKIND) :: localSum
-
- localSum = sum(field)
- call mpas_dmpar_sum_real(dminfo, localSum, globalSum)
-
- end subroutine sw_compute_global_sum
-
- subroutine sw_compute_global_min(dminfo, nVertLevels, nElements, field, globalMin)
-
- implicit none
-
- type (dm_info), intent(in) :: dminfo
- integer, intent(in) :: nVertLevels, nElements
- real (kind=RKIND), dimension(nVertLevels, nElements), intent(in) :: field
- real (kind=RKIND), intent(out) :: globalMin
-
- real (kind=RKIND) :: localMin
-
- localMin = minval(field)
- call mpas_dmpar_min_real(dminfo, localMin, globalMin)
-
- end subroutine sw_compute_global_min
-
- subroutine sw_compute_global_max(dminfo, nVertLevels, nElements, field, globalMax)
-
- implicit none
-
- type (dm_info), intent(in) :: dminfo
- integer, intent(in) :: nVertLevels, nElements
- real (kind=RKIND), dimension(nVertLevels, nElements), intent(in) :: field
- real (kind=RKIND), intent(out) :: globalMax
-
- real (kind=RKIND) :: localMax
-
- localMax = maxval(field)
- call mpas_dmpar_max_real(dminfo, localMax, globalMax)
-
- end subroutine sw_compute_global_max
-
- subroutine compute_global_vert_sum_horiz_min(dminfo, nVertLevels, nElements, field, globalMin)
-
- implicit none
-
- type (dm_info), intent(in) :: dminfo
- integer, intent(in) :: nVertLevels, nElements
- real (kind=RKIND), dimension(nVertLevels, nElements), intent(in) :: field
- real (kind=RKIND), intent(out) :: globalMin
-
- real (kind=RKIND) :: localMin
-
- localMin = minval(sum(field,1))
- call mpas_dmpar_min_real(dminfo, localMin, globalMin)
-
- end subroutine compute_global_vert_sum_horiz_min
-
- subroutine sw_compute_global_vert_sum_horiz_max(dminfo, nVertLevels, nElements, field, globalMax)
-
- implicit none
-
- type (dm_info), intent(in) :: dminfo
- integer, intent(in) :: nVertLevels, nElements
- real (kind=RKIND), dimension(nVertLevels, nElements), intent(in) :: field
- real (kind=RKIND), intent(out) :: globalMax
-
- real (kind=RKIND) :: localMax
-
- localMax = maxval(sum(field,1))
- call mpas_dmpar_max_real(dminfo, localMax, globalMax)
-
- end subroutine sw_compute_global_vert_sum_horiz_max
-
-end module sw_global_diagnostics
Deleted: branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_mpas_core.F
===================================================================
--- branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_mpas_core.F 2013-01-31 17:07:49 UTC (rev 2404)
+++ branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_mpas_core.F 2013-01-31 18:02:47 UTC (rev 2405)
@@ -1,387 +0,0 @@
-module mpas_core
-
- use mpas_framework
- use mpas_timekeeping
-
- type (io_output_object), save :: restart_obj
- integer :: current_outfile_frames
-
- type (MPAS_Clock_type) :: clock
-
- integer, parameter :: outputAlarmID = 1
- integer, parameter :: restartAlarmID = 2
- !integer, parameter :: statsAlarmID = 3
-
- contains
-
- subroutine mpas_core_init(domain, startTimeStamp)
-
- use mpas_configure
- use mpas_grid_types
- use sw_test_cases
-
- implicit none
-
- type (domain_type), intent(inout) :: domain
- character(len=*), intent(out) :: startTimeStamp
-
- real (kind=RKIND) :: dt
- type (block_type), pointer :: block
-
-
- if (.not. config_do_restart) call setup_sw_test_case(domain)
-
- !
- ! Initialize core
- !
- dt = config_dt
-
- call simulation_clock_init(domain, dt, startTimeStamp)
-
- block => domain % blocklist
- do while (associated(block))
- call mpas_init_block(block, block % mesh, dt)
- block % state % time_levs(1) % state % xtime % scalar = startTimeStamp
- block => block % next
- end do
-
- current_outfile_frames = 0
-
- end subroutine mpas_core_init
-
-
- subroutine simulation_clock_init(domain, dt, startTimeStamp)
-
- implicit none
-
- type (domain_type), intent(inout) :: domain
- real (kind=RKIND), intent(in) :: dt
- character(len=*), intent(out) :: startTimeStamp
-
- type (MPAS_Time_Type) :: startTime, stopTime, alarmStartTime
- type (MPAS_TimeInterval_type) :: runDuration, timeStep, alarmTimeStep
- integer :: ierr
-
- call mpas_set_time(curr_time=startTime, dateTimeString=config_start_time, ierr=ierr)
- call mpas_set_timeInterval(timeStep, dt=dt, ierr=ierr)
-
- if (trim(config_run_duration) /= "none") then
- call mpas_set_timeInterval(runDuration, timeString=config_run_duration, ierr=ierr)
- call mpas_create_clock(clock, startTime=startTime, timeStep=timeStep, runDuration=runDuration, ierr=ierr)
-
- if (trim(config_stop_time) /= "none") then
- call mpas_set_time(curr_time=stopTime, dateTimeString=config_stop_time, ierr=ierr)
- if(startTime + runduration /= stopTime) then
- write(0,*) 'Warning: config_run_duration and config_stop_time are inconsitent: using config_run_duration.'
- end if
- end if
- else if (trim(config_stop_time) /= "none") then
- call mpas_set_time(curr_time=stopTime, dateTimeString=config_stop_time, ierr=ierr)
- call mpas_create_clock(clock, startTime=startTime, timeStep=timeStep, stopTime=stopTime, ierr=ierr)
- else
- write(0,*) 'Error: Neither config_run_duration nor config_stop_time were specified.'
- call mpas_dmpar_abort(domain % dminfo)
- end if
-
- ! set output alarm
- call mpas_set_timeInterval(alarmTimeStep, timeString=config_output_interval, ierr=ierr)
- alarmStartTime = startTime + alarmTimeStep
- call mpas_add_clock_alarm(clock, outputAlarmID, alarmStartTime, alarmTimeStep, ierr=ierr)
-
- ! set restart alarm, if necessary
- if (trim(config_restart_interval) /= "none") then
- call mpas_set_timeInterval(alarmTimeStep, timeString=config_restart_interval, ierr=ierr)
- alarmStartTime = startTime + alarmTimeStep
- call mpas_add_clock_alarm(clock, restartAlarmID, alarmStartTime, alarmTimeStep, ierr=ierr)
- end if
-
- !TODO: use this code if we desire to convert config_stats_interval to alarms
- !(must also change config_stats_interval type to character)
- ! set stats alarm, if necessary
- !if (trim(config_stats_interval) /= "none") then
- ! call mpas_set_timeInterval(alarmTimeStep, timeString=config_stats_interval, ierr=ierr)
- ! alarmStartTime = startTime + alarmTimeStep
- ! call mpas_add_clock_alarm(clock, statsAlarmID, alarmStartTime, alarmTimeStep, ierr=ierr)
- !end if
-
- call mpas_get_time(curr_time=startTime, dateTimeString=startTimeStamp, ierr=ierr)
-
- end subroutine simulation_clock_init
-
-
- subroutine mpas_init_block(block, mesh, dt)
-
- use mpas_grid_types
- use sw_time_integration
- use mpas_rbf_interpolation
- use mpas_vector_reconstruction
-
- implicit none
-
- type (block_type), intent(inout) :: block
- type (mesh_type), intent(inout) :: mesh
- real (kind=RKIND), intent(in) :: dt
-
-
- call sw_compute_solve_diagnostics(dt, block % state % time_levs(1) % state, mesh)
- call compute_mesh_scaling(mesh)
-
- call mpas_rbf_interp_initialize(mesh)
- call mpas_init_reconstruct(mesh)
- call mpas_reconstruct(mesh, block % state % time_levs(1) % state % u % array, &
- block % state % time_levs(1) % state % uReconstructX % array, &
- block % state % time_levs(1) % state % uReconstructY % array, &
- block % state % time_levs(1) % state % uReconstructZ % array, &
- block % state % time_levs(1) % state % uReconstructZonal % array, &
- block % state % time_levs(1) % state % uReconstructMeridional % array &
- )
-
-
- end subroutine mpas_init_block
-
-
- subroutine mpas_core_run(domain, output_obj, output_frame)
-
- use mpas_grid_types
- use mpas_kind_types
- use mpas_io_output
- use mpas_timer
-
- implicit none
-
- type (domain_type), intent(inout) :: domain
- type (io_output_object), intent(inout) :: output_obj
- integer, intent(inout) :: output_frame
-
- integer :: itimestep
- real (kind=RKIND) :: dt
- type (block_type), pointer :: block_ptr
-
- type (MPAS_Time_Type) :: currTime
- character(len=StrKIND) :: timeStamp
- integer :: ierr
-
- ! Eventually, dt should be domain specific
- dt = config_dt
-
- currTime = mpas_get_clock_time(clock, MPAS_NOW, ierr)
- call mpas_get_time(curr_time=currTime, dateTimeString=timeStamp, ierr=ierr)
- write(0,*) 'Initial timestep ', trim(timeStamp)
-
- call write_output_frame(output_obj, output_frame, domain)
-
- ! During integration, time level 1 stores the model state at the beginning of the
- ! time step, and time level 2 stores the state advanced dt in time by timestep(...)
- itimestep = 0
- do while (.not. mpas_is_clock_stop_time(clock))
-
- itimestep = itimestep + 1
- call mpas_advance_clock(clock)
-
- currTime = mpas_get_clock_time(clock, MPAS_NOW, ierr)
- call mpas_get_time(curr_time=currTime, dateTimeString=timeStamp, ierr=ierr)
- write(0,*) 'Doing timestep ', trim(timeStamp)
-
- call mpas_timer_start("time integration")
- call mpas_timestep(domain, itimestep, dt, timeStamp)
- call mpas_timer_stop("time integration")
-
- ! Move time level 2 fields back into time level 1 for next time step
- block_ptr => domain % blocklist
- do while(associated(block_ptr))
- call mpas_shift_time_levels_state(block_ptr % state)
- block_ptr => block_ptr % next
- end do
-
- !TODO: mpas_get_clock_ringing_alarms is probably faster than multiple mpas_is_alarm_ringing...
-
- if (mpas_is_alarm_ringing(clock, outputAlarmID, ierr=ierr)) then
- call mpas_reset_clock_alarm(clock, outputAlarmID, ierr=ierr)
- ! output_frame will always be > 1 here unless it was reset after the maximum number of frames per outfile was reached
- if(output_frame == 1) then
- call mpas_output_state_finalize(output_obj, domain % dminfo)
- call mpas_output_state_init(output_obj, domain, "OUTPUT", trim(timeStamp))
- end if
- call write_output_frame(output_obj, output_frame, domain)
- end if
-
- if (mpas_is_alarm_ringing(clock, restartAlarmID, ierr=ierr)) then
- call mpas_reset_clock_alarm(clock, restartAlarmID, ierr=ierr)
-
- ! Write one restart time per file
- call mpas_output_state_init(restart_obj, domain, "RESTART", trim(timeStamp))
- call mpas_output_state_for_domain(restart_obj, domain, 1)
- call mpas_output_state_finalize(restart_obj, domain % dminfo)
- end if
-
- end do
-
- end subroutine mpas_core_run
-
-
- subroutine write_output_frame(output_obj, output_frame, domain)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Compute diagnostic fields for a domain and write model state to output file
- !
- ! Input/Output: domain - contains model state; diagnostic field are computed
- ! before returning
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- use mpas_grid_types
- use mpas_io_output
-
- implicit none
-
- type (io_output_object), intent(inout) :: output_obj
- integer, intent(inout) :: output_frame
- type (domain_type), intent(inout) :: domain
-
- integer :: i, j, k
- integer :: eoe
- type (block_type), pointer :: block_ptr
-
- block_ptr => domain % blocklist
- do while (associated(block_ptr))
- call compute_output_diagnostics(block_ptr % state % time_levs(1) % state, block_ptr % mesh)
- block_ptr => block_ptr % next
- end do
-
- call mpas_output_state_for_domain(output_obj, domain, output_frame)
- output_frame = output_frame + 1
-
- ! reset frame if the maximum number of frames per outfile has been reached
- if (config_frames_per_outfile > 0) then
- current_outfile_frames = current_outfile_frames + 1
- if(current_outfile_frames >= config_frames_per_outfile) then
- current_outfile_frames = 0
- output_frame = 1
- end if
- end if
-
- end subroutine write_output_frame
-
-
- subroutine compute_output_diagnostics(state, grid)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Compute diagnostic fields for a domain
- !
- ! Input: state - contains model prognostic fields
- ! grid - contains grid metadata
- !
- ! Output: state - upon returning, diagnostic fields will have be computed
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- use mpas_grid_types
-
- implicit none
-
- type (state_type), intent(inout) :: state
- type (mesh_type), intent(in) :: grid
-
- integer :: i, eoe
- integer :: iEdge, k
-
- end subroutine compute_output_diagnostics
-
-
- subroutine mpas_timestep(domain, itimestep, dt, timeStamp)
-
- use mpas_grid_types
- use sw_time_integration
- use mpas_timer
- use sw_global_diagnostics
-
- implicit none
-
- type (domain_type), intent(inout) :: domain
- integer, intent(in) :: itimestep
- real (kind=RKIND), intent(in) :: dt
- character(len=*), intent(in) :: timeStamp
-
- type (block_type), pointer :: block_ptr
- integer :: ierr
-
- call sw_timestep(domain, dt, timeStamp)
-
- if(config_stats_interval .gt. 0) then
- if(mod(itimestep, config_stats_interval) == 0) then
- block_ptr => domain % blocklist
- if(associated(block_ptr % next)) then
- write(0,*) 'Error: computeGlobalDiagnostics assumes ',&
- 'that there is only one block per processor.'
- end if
-
- call mpas_timer_start("global_diagnostics")
- call sw_compute_global_diagnostics(domain % dminfo, &
- block_ptr % state % time_levs(2) % state, block_ptr % mesh, &
- itimestep, dt)
- call mpas_timer_stop("global_diagnostics")
- end if
- end if
-
- !TODO: replace the above code block with this if we desire to convert config_stats_interval to use alarms
- !if (mpas_is_alarm_ringing(clock, statsAlarmID, ierr=ierr)) then
- ! call mpas_reset_clock_alarm(clock, statsAlarmID, ierr=ierr)
-
- ! block_ptr => domain % blocklist
- ! if(associated(block_ptr % next)) then
- ! write(0,*) 'Error: computeGlobalDiagnostics assumes ',&
- ! 'that there is only one block per processor.'
- ! end if
-
- ! call mpas_timer_start("global_diagnostics")
- ! call sw_compute_global_diagnostics(domain % dminfo, &
- ! block_ptr % state % time_levs(2) % state, block_ptr % mesh, &
- ! timeStamp, dt)
- ! call mpas_timer_stop("global_diagnostics")
- !end if
-
- end subroutine mpas_timestep
-
-
- subroutine mpas_core_finalize(domain)
-
- use mpas_grid_types
-
- implicit none
-
- type (domain_type), intent(inout) :: domain
- integer :: ierr
-
- call mpas_destroy_clock(clock, ierr)
-
- end subroutine mpas_core_finalize
-
-
- subroutine compute_mesh_scaling(mesh)
-
- use mpas_grid_types
-
- implicit none
-
- type (mesh_type), intent(inout) :: mesh
-
- integer :: iEdge, cell1, cell2
- real (kind=RKIND), dimension(:), pointer :: meshDensity, meshScalingDel2, meshScalingDel4
-
- meshDensity => mesh % meshDensity % array
- meshScalingDel2 => mesh % meshScalingDel2 % array
- meshScalingDel4 => mesh % meshScalingDel4 % array
-
- !
- ! Compute the scaling factors to be used in the del2 and del4 dissipation
- !
- meshScalingDel2(:) = 1.0
- meshScalingDel4(:) = 1.0
- if (config_h_ScaleWithMesh) then
- do iEdge=1,mesh%nEdges
- cell1 = mesh % cellsOnEdge % array(1,iEdge)
- cell2 = mesh % cellsOnEdge % array(2,iEdge)
- meshScalingDel2(iEdge) = 1.0 / ( (meshDensity(cell1) + meshDensity(cell2) )/2.0)**(5.0/12.0)
- meshScalingDel4(iEdge) = 1.0 / ( (meshDensity(cell1) + meshDensity(cell2) )/2.0)**(5.0/6.0)
- end do
- end if
-
- end subroutine compute_mesh_scaling
-
-end module mpas_core
Deleted: branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_test_cases.F
===================================================================
--- branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_test_cases.F 2013-01-31 17:07:49 UTC (rev 2404)
+++ branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_test_cases.F 2013-01-31 18:02:47 UTC (rev 2405)
@@ -1,527 +0,0 @@
-module sw_test_cases
-
- use mpas_grid_types
- use mpas_configure
- use mpas_constants
-
-
- contains
-
-
- subroutine setup_sw_test_case(domain)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Configure grid metadata and model state for the shallow water test case
- ! specified in the namelist
- !
- ! Output: block - a subset (not necessarily proper) of the model domain to be
- ! initialized
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (domain_type), intent(inout) :: domain
-
- integer :: i
- type (block_type), pointer :: block_ptr
-
- if (config_test_case == 0) then
- write(0,*) 'Using initial conditions supplied in input file'
-
- else if (config_test_case == 1) then
- write(0,*) 'Setting up shallow water test case 1'
- write(0,*) ' -- Advection of Cosine Bell over the Pole'
-
- block_ptr => domain % blocklist
- do while (associated(block_ptr))
- call sw_test_case_1(block_ptr % mesh, block_ptr % state % time_levs(1) % state)
- do i=2,nTimeLevs
- call mpas_copy_state(block_ptr % state % time_levs(i) % state, block_ptr % state % time_levs(1) % state)
- end do
-
- block_ptr => block_ptr % next
- end do
-
- else if (config_test_case == 2) then
- write(0,*) 'Setting up shallow water test case 2'
- write(0,*) ' -- Setup shallow water test case 2: Global Steady State Nonlinear Zonal Geostrophic Flow'
-
- block_ptr => domain % blocklist
- do while (associated(block_ptr))
- call sw_test_case_2(block_ptr % mesh, block_ptr % state % time_levs(1) % state)
- do i=2,nTimeLevs
- call mpas_copy_state(block_ptr % state % time_levs(i) % state, block_ptr % state % time_levs(1) % state)
- end do
-
- block_ptr => block_ptr % next
- end do
-
- else if (config_test_case == 5) then
- write(0,*) 'Setting up shallow water test case 5'
- write(0,*) ' -- Setup shallow water test case 5: Zonal Flow over an Isolated Mountain'
-
- block_ptr => domain % blocklist
- do while (associated(block_ptr))
- call sw_test_case_5(block_ptr % mesh, block_ptr % state % time_levs(1) % state)
- do i=2,nTimeLevs
- call mpas_copy_state(block_ptr % state % time_levs(i) % state, block_ptr % state % time_levs(1) % state)
- end do
-
- block_ptr => block_ptr % next
- end do
-
- else if (config_test_case == 6) then
- write(0,*) 'Setting up shallow water test case 6'
- write(0,*) ' -- Rossby-Haurwitz Wave'
-
- block_ptr => domain % blocklist
- do while (associated(block_ptr))
- call sw_test_case_6(block_ptr % mesh, block_ptr % state % time_levs(1) % state)
- do i=2,nTimeLevs
- call mpas_copy_state(block_ptr % state % time_levs(i) % state, block_ptr % state % time_levs(1) % state)
- end do
-
- block_ptr => block_ptr % next
- end do
-
- else
- write(0,*) 'Only test case 1, 2, 5, and 6 are currently supported.'
- stop
- end if
-
- end subroutine setup_sw_test_case
-
-
- subroutine sw_test_case_1(grid, state)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Setup shallow water test case 1: Advection of Cosine Bell over the Pole
- !
- ! Reference: Williamson, D.L., et al., "A Standard Test Set for Numerical
- ! Approximations to the Shallow Water Equations in Spherical
- ! Geometry" J. of Comp. Phys., 102, pp. 211--224
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (mesh_type), intent(inout) :: grid
- type (state_type), intent(inout) :: state
-
- real (kind=RKIND), parameter :: u0 = 2.0 * pii * a / (12.0 * 86400.0)
- real (kind=RKIND), parameter :: h0 = 1000.0
- real (kind=RKIND), parameter :: theta_c = 0.0
- real (kind=RKIND), parameter :: lambda_c = 3.0*pii/2.0
- real (kind=RKIND), parameter :: alpha = pii/4.0
-
- integer :: iCell, iEdge, iVtx
- real (kind=RKIND) :: r, u, v
- real (kind=RKIND), allocatable, dimension(:) :: psiVertex
-
- !
- ! Scale all distances and areas from a unit sphere to one with radius a
- !
- grid % xCell % array = grid % xCell % array * a
- grid % yCell % array = grid % yCell % array * a
- grid % zCell % array = grid % zCell % array * a
- grid % xVertex % array = grid % xVertex % array * a
- grid % yVertex % array = grid % yVertex % array * a
- grid % zVertex % array = grid % zVertex % array * a
- grid % xEdge % array = grid % xEdge % array * a
- grid % yEdge % array = grid % yEdge % array * a
- grid % zEdge % array = grid % zEdge % array * a
- grid % dvEdge % array = grid % dvEdge % array * a
- grid % dcEdge % array = grid % dcEdge % array * a
- grid % areaCell % array = grid % areaCell % array * a**2.0
- grid % areaTriangle % array = grid % areaTriangle % array * a**2.0
- grid % kiteAreasOnVertex % array = grid % kiteAreasOnVertex % array * a**2.0
-
- !
- ! Initialize wind field
- !
- allocate(psiVertex(grid % nVertices))
- do iVtx=1,grid % nVertices
- psiVertex(iVtx) = -a * u0 * ( &
- sin(grid%latVertex%array(iVtx)) * cos(alpha) - &
- cos(grid%lonVertex%array(iVtx)) * cos(grid%latVertex%array(iVtx)) * sin(alpha) &
- )
- end do
- do iEdge=1,grid % nEdges
- state % u % array(1,iEdge) = -1.0 * ( &
- psiVertex(grid%verticesOnEdge%array(2,iEdge)) - &
- psiVertex(grid%verticesOnEdge%array(1,iEdge)) &
- ) / grid%dvEdge%array(iEdge)
- end do
- deallocate(psiVertex)
-
- !
- ! Initialize cosine bell at (theta_c, lambda_c)
- !
- do iCell=1,grid % nCells
- r = sphere_distance(theta_c, lambda_c, grid % latCell % array(iCell), grid % lonCell % array(iCell), a)
- if (r < a/3.0) then
- state % h % array(1,iCell) = (h0 / 2.0) * (1.0 + cos(pii*r*3.0/a))
- else
- state % h % array(1,iCell) = 0.0
- end if
- end do
-
- end subroutine sw_test_case_1
-
-
- subroutine sw_test_case_2(grid, state)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Setup shallow water test case 2: Global Steady State Nonlinear Zonal
- ! Geostrophic Flow
- !
- ! Reference: Williamson, D.L., et al., "A Standard Test Set for Numerical
- ! Approximations to the Shallow Water Equations in Spherical
- ! Geometry" J. of Comp. Phys., 102, pp. 211--224
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (mesh_type), intent(inout) :: grid
- type (state_type), intent(inout) :: state
-
- real (kind=RKIND), parameter :: u0 = 2.0 * pii * a / (12.0 * 86400.0)
- real (kind=RKIND), parameter :: gh0 = 29400.0
- real (kind=RKIND), parameter :: alpha = 0.0
-
- integer :: iCell, iEdge, iVtx
- real (kind=RKIND) :: u, v
- real (kind=RKIND), allocatable, dimension(:) :: psiVertex
-
-
- !
- ! Scale all distances and areas from a unit sphere to one with radius a
- !
- grid % xCell % array = grid % xCell % array * a
- grid % yCell % array = grid % yCell % array * a
- grid % zCell % array = grid % zCell % array * a
- grid % xVertex % array = grid % xVertex % array * a
- grid % yVertex % array = grid % yVertex % array * a
- grid % zVertex % array = grid % zVertex % array * a
- grid % xEdge % array = grid % xEdge % array * a
- grid % yEdge % array = grid % yEdge % array * a
- grid % zEdge % array = grid % zEdge % array * a
- grid % dvEdge % array = grid % dvEdge % array * a
- grid % dcEdge % array = grid % dcEdge % array * a
- grid % areaCell % array = grid % areaCell % array * a**2.0
- grid % areaTriangle % array = grid % areaTriangle % array * a**2.0
- grid % kiteAreasOnVertex % array = grid % kiteAreasOnVertex % array * a**2.0
-
-
- !
- ! Initialize wind field
- !
- allocate(psiVertex(grid % nVertices))
- do iVtx=1,grid % nVertices
- psiVertex(iVtx) = -a * u0 * ( &
- sin(grid%latVertex%array(iVtx)) * cos(alpha) - &
- cos(grid%lonVertex%array(iVtx)) * cos(grid%latVertex%array(iVtx)) * sin(alpha) &
- )
- end do
- do iEdge=1,grid % nEdges
- state % u % array(1,iEdge) = -1.0 * ( &
- psiVertex(grid%verticesOnEdge%array(2,iEdge)) - &
- psiVertex(grid%verticesOnEdge%array(1,iEdge)) &
- ) / grid%dvEdge%array(iEdge)
- end do
- deallocate(psiVertex)
-
- !
- ! Generate rotated Coriolis field
- !
- do iEdge=1,grid % nEdges
- grid % fEdge % array(iEdge) = 2.0 * omega * &
- ( -cos(grid%lonEdge%array(iEdge)) * cos(grid%latEdge%array(iEdge)) * sin(alpha) + &
- sin(grid%latEdge%array(iEdge)) * cos(alpha) &
- )
- end do
- do iVtx=1,grid % nVertices
- grid % fVertex % array(iVtx) = 2.0 * omega * &
- (-cos(grid%lonVertex%array(iVtx)) * cos(grid%latVertex%array(iVtx)) * sin(alpha) + &
- sin(grid%latVertex%array(iVtx)) * cos(alpha) &
- )
- end do
-
- !
- ! Initialize height field (actually, fluid thickness field)
- !
- do iCell=1,grid % nCells
- state % h % array(1,iCell) = (gh0 - (a * omega * u0 + 0.5 * u0**2.0) * &
- (-cos(grid%lonCell%array(iCell)) * cos(grid%latCell%array(iCell)) * sin(alpha) + &
- sin(grid%latCell%array(iCell)) * cos(alpha) &
- )**2.0 &
- ) / &
- gravity
- end do
-
- end subroutine sw_test_case_2
-
-
- subroutine sw_test_case_5(grid, state)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Setup shallow water test case 5: Zonal Flow over an Isolated Mountain
- !
- ! Reference: Williamson, D.L., et al., "A Standard Test Set for Numerical
- ! Approximations to the Shallow Water Equations in Spherical
- ! Geometry" J. of Comp. Phys., 102, pp. 211--224
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (mesh_type), intent(inout) :: grid
- type (state_type), intent(inout) :: state
-
- real (kind=RKIND), parameter :: u0 = 20.
- real (kind=RKIND), parameter :: gh0 = 5960.0*gravity
- real (kind=RKIND), parameter :: hs0 = 2000.
- real (kind=RKIND), parameter :: theta_c = pii/6.0
- real (kind=RKIND), parameter :: lambda_c = 3.0*pii/2.0
- real (kind=RKIND), parameter :: rr = pii/9.0
- real (kind=RKIND), parameter :: alpha = 0.0
-
- integer :: iCell, iEdge, iVtx
- real (kind=RKIND) :: r, u, v
- real (kind=RKIND), allocatable, dimension(:) :: psiVertex
-
-
- !
- ! Scale all distances and areas from a unit sphere to one with radius a
- !
- grid % xCell % array = grid % xCell % array * a
- grid % yCell % array = grid % yCell % array * a
- grid % zCell % array = grid % zCell % array * a
- grid % xVertex % array = grid % xVertex % array * a
- grid % yVertex % array = grid % yVertex % array * a
- grid % zVertex % array = grid % zVertex % array * a
- grid % xEdge % array = grid % xEdge % array * a
- grid % yEdge % array = grid % yEdge % array * a
- grid % zEdge % array = grid % zEdge % array * a
- grid % dvEdge % array = grid % dvEdge % array * a
- grid % dcEdge % array = grid % dcEdge % array * a
- grid % areaCell % array = grid % areaCell % array * a**2.0
- grid % areaTriangle % array = grid % areaTriangle % array * a**2.0
- grid % kiteAreasOnVertex % array = grid % kiteAreasOnVertex % array * a**2.0
-
- !
- ! Initialize wind field
- !
- allocate(psiVertex(grid % nVertices))
- do iVtx=1,grid % nVertices
- psiVertex(iVtx) = -a * u0 * ( &
- sin(grid%latVertex%array(iVtx)) * cos(alpha) - &
- cos(grid%lonVertex%array(iVtx)) * cos(grid%latVertex%array(iVtx)) * sin(alpha) &
- )
- end do
- do iEdge=1,grid % nEdges
- state % u % array(1,iEdge) = -1.0 * ( &
- psiVertex(grid%verticesOnEdge%array(2,iEdge)) - &
- psiVertex(grid%verticesOnEdge%array(1,iEdge)) &
- ) / grid%dvEdge%array(iEdge)
- end do
- deallocate(psiVertex)
-
- !
- ! Generate rotated Coriolis field
- !
- do iEdge=1,grid % nEdges
- grid % fEdge % array(iEdge) = 2.0 * omega * &
- (-cos(grid%lonEdge%array(iEdge)) * cos(grid%latEdge%array(iEdge)) * sin(alpha) + &
- sin(grid%latEdge%array(iEdge)) * cos(alpha) &
- )
- end do
- do iVtx=1,grid % nVertices
- grid % fVertex % array(iVtx) = 2.0 * omega * &
- (-cos(grid%lonVertex%array(iVtx)) * cos(grid%latVertex%array(iVtx)) * sin(alpha) + &
- sin(grid%latVertex%array(iVtx)) * cos(alpha) &
- )
- end do
-
- !
- ! Initialize mountain
- !
- do iCell=1,grid % nCells
- if (grid % lonCell % array(iCell) < 0.0) grid % lonCell % array(iCell) = grid % lonCell % array(iCell) + 2.0 * pii
- r = sqrt(min(rr**2.0, (grid % lonCell % array(iCell) - lambda_c)**2.0 + (grid % latCell % array(iCell) - theta_c)**2.0))
- grid % h_s % array(iCell) = hs0 * (1.0 - r/rr)
- end do
-
- !
- ! Initialize tracer fields
- !
- do iCell=1,grid % nCells
- r = sqrt(min(rr**2.0, (grid % lonCell % array(iCell) - lambda_c)**2.0 + (grid % latCell % array(iCell) - theta_c)**2.0))
- state % tracers % array(1,1,iCell) = 1.0 - r/rr
- end do
- if (grid%nTracers > 1) then
- do iCell=1,grid % nCells
- r = sqrt(min(rr**2.0, (grid % lonCell % array(iCell) - lambda_c)**2.0 + &
- (grid % latCell % array(iCell) - theta_c - pii/6.0)**2.0 &
- ) &
- )
- state % tracers % array(2,1,iCell) = 1.0 - r/rr
- end do
- end if
-
- !
- ! Initialize height field (actually, fluid thickness field)
- !
- do iCell=1,grid % nCells
- state % h % array(1,iCell) = (gh0 - (a * omega * u0 + 0.5 * u0**2.0) * &
- (-cos(grid%lonCell%array(iCell)) * cos(grid%latCell%array(iCell)) * sin(alpha) + &
- sin(grid%latCell%array(iCell)) * cos(alpha) &
- )**2.0 &
- ) / &
- gravity
- state % h % array(1,iCell) = state % h % array(1,iCell) - grid % h_s % array(iCell)
- end do
-
- end subroutine sw_test_case_5
-
-
- subroutine sw_test_case_6(grid, state)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Setup shallow water test case 6: Rossby-Haurwitz Wave
- !
- ! Reference: Williamson, D.L., et al., "A Standard Test Set for Numerical
- ! Approximations to the Shallow Water Equations in Spherical
- ! Geometry" J. of Comp. Phys., 102, pp. 211--224
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (mesh_type), intent(inout) :: grid
- type (state_type), intent(inout) :: state
-
- real (kind=RKIND), parameter :: h0 = 8000.0
- real (kind=RKIND), parameter :: w = 7.848e-6
- real (kind=RKIND), parameter :: K = 7.848e-6
- real (kind=RKIND), parameter :: R = 4.0
-
- integer :: iCell, iEdge, iVtx
- real (kind=RKIND) :: u, v
- real (kind=RKIND), allocatable, dimension(:) :: psiVertex
-
-
- !
- ! Scale all distances and areas from a unit sphere to one with radius a
- !
- grid % xCell % array = grid % xCell % array * a
- grid % yCell % array = grid % yCell % array * a
- grid % zCell % array = grid % zCell % array * a
- grid % xVertex % array = grid % xVertex % array * a
- grid % yVertex % array = grid % yVertex % array * a
- grid % zVertex % array = grid % zVertex % array * a
- grid % xEdge % array = grid % xEdge % array * a
- grid % yEdge % array = grid % yEdge % array * a
- grid % zEdge % array = grid % zEdge % array * a
- grid % dvEdge % array = grid % dvEdge % array * a
- grid % dcEdge % array = grid % dcEdge % array * a
- grid % areaCell % array = grid % areaCell % array * a**2.0
- grid % areaTriangle % array = grid % areaTriangle % array * a**2.0
- grid % kiteAreasOnVertex % array = grid % kiteAreasOnVertex % array * a**2.0
-
- !
- ! Initialize wind field
- !
- allocate(psiVertex(grid % nVertices))
- do iVtx=1,grid % nVertices
- psiVertex(iVtx) = -a * a * w * sin(grid%latVertex%array(iVtx)) + &
- a *a * K * (cos(grid%latVertex%array(iVtx))**R) * &
- sin(grid%latVertex%array(iVtx)) * cos(R * grid%lonVertex%array(iVtx))
- end do
- do iEdge=1,grid % nEdges
- state % u % array(1,iEdge) = -1.0 * ( &
- psiVertex(grid%verticesOnEdge%array(2,iEdge)) - &
- psiVertex(grid%verticesOnEdge%array(1,iEdge)) &
- ) / grid%dvEdge%array(iEdge)
- end do
- deallocate(psiVertex)
-
- !
- ! Initialize height field (actually, fluid thickness field)
- !
- do iCell=1,grid % nCells
- state % h % array(1,iCell) = (gravity * h0 + a*a*aa(grid%latCell%array(iCell)) + &
- a*a*bb(grid%latCell%array(iCell)) * cos(R*grid%lonCell%array(iCell)) + &
- a*a*cc(grid%latCell%array(iCell)) * cos(2.0*R*grid%lonCell%array(iCell)) &
- ) / gravity
- end do
-
- end subroutine sw_test_case_6
-
-
- real function sphere_distance(lat1, lon1, lat2, lon2, radius)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Compute the great-circle distance between (lat1, lon1) and (lat2, lon2) on a
- ! sphere with given radius.
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- real (kind=RKIND), intent(in) :: lat1, lon1, lat2, lon2, radius
-
- real (kind=RKIND) :: arg1
-
- arg1 = sqrt( sin(0.5*(lat2-lat1))**2 + &
- cos(lat1)*cos(lat2)*sin(0.5*(lon2-lon1))**2 )
- sphere_distance = 2.*radius*asin(arg1)
-
- end function sphere_distance
-
-
- real function aa(theta)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! A, used in height field computation for Rossby-Haurwitz wave
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- real (kind=RKIND), parameter :: w = 7.848e-6
- real (kind=RKIND), parameter :: K = 7.848e-6
- real (kind=RKIND), parameter :: R = 4.0
-
- real (kind=RKIND), intent(in) :: theta
-
- aa = 0.5 * w * (2.0 * omega + w) * cos(theta)**2.0 + &
- 0.25 * K**2.0 * cos(theta)**(2.0*R) * ((R+1.0)*cos(theta)**2.0 + 2.0*R**2.0 - R - 2.0 - 2.0*R**2.0 * cos(theta)**(-2.0))
-
- end function aa
-
-
- real function bb(theta)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! B, used in height field computation for Rossby-Haurwitz wave
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- real (kind=RKIND), parameter :: w = 7.848e-6
- real (kind=RKIND), parameter :: K = 7.848e-6
- real (kind=RKIND), parameter :: R = 4.0
-
- real (kind=RKIND), intent(in) :: theta
-
- bb = (2.0*(omega + w)*K / ((R+1.0)*(R+2.0))) * cos(theta)**R * ((R**2.0 + 2.0*R + 2.0) - ((R+1.0)*cos(theta))**2.0)
-
- end function bb
-
-
- real function cc(theta)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! C, used in height field computation for Rossby-Haurwitz wave
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- real (kind=RKIND), parameter :: w = 7.848e-6
- real (kind=RKIND), parameter :: K = 7.848e-6
- real (kind=RKIND), parameter :: R = 4.0
-
- real (kind=RKIND), intent(in) :: theta
-
- cc = 0.25 * K**2.0 * cos(theta)**(2.0*R) * ((R+1.0)*cos(theta)**2.0 - R - 2.0)
-
- end function cc
-
-end module sw_test_cases
Deleted: branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_time_integration.F
===================================================================
--- branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_time_integration.F 2013-01-31 17:07:49 UTC (rev 2404)
+++ branches/cice_projects/initial_cice_core/src/core_cice/mpas_sw_time_integration.F 2013-01-31 18:02:47 UTC (rev 2405)
@@ -1,1262 +0,0 @@
-module sw_time_integration
-
- use mpas_vector_reconstruction
- use mpas_grid_types
- use mpas_configure
- use mpas_constants
- use mpas_dmpar
-
-
- contains
-
-
- subroutine sw_timestep(domain, dt, timeStamp)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Advance model state forward in time by the specified time step
- !
- ! Input: domain - current model state in time level 1 (e.g., time_levs(1)state%h(:,:))
- ! plus grid meta-data
- ! Output: domain - upon exit, time level 2 (e.g., time_levs(2)%state%h(:,:)) contains
- ! model state advanced forward in time by dt seconds
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (domain_type), intent(inout) :: domain
- real (kind=RKIND), intent(in) :: dt
- character(len=*), intent(in) :: timeStamp
-
- type (block_type), pointer :: block
-
- if (trim(config_time_integration) == 'RK4') then
- call sw_rk4(domain, dt)
- else
- write(0,*) 'Unknown time integration option '//trim(config_time_integration)
- write(0,*) 'Currently, only ''RK4'' is supported.'
- stop
- end if
-
- block => domain % blocklist
- do while (associated(block))
- block % state % time_levs(2) % state % xtime % scalar = timeStamp
- block => block % next
- end do
-
- end subroutine sw_timestep
-
-
- subroutine sw_rk4(domain, dt)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Advance model state forward in time by the specified time step using
- ! 4th order Runge-Kutta
- !
- ! Input: domain - current model state in time level 1 (e.g., time_levs(1)state%h(:,:))
- ! plus grid meta-data
- ! Output: domain - upon exit, time level 2 (e.g., time_levs(2)%state%h(:,:)) contains
- ! model state advanced forward in time by dt seconds
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (domain_type), intent(inout) :: domain
- real (kind=RKIND), intent(in) :: dt
-
- integer :: iCell, k
- type (block_type), pointer :: block
- type (state_type), target :: provis
- type (state_type), pointer :: provis_ptr
-
- integer :: rk_step
-
- real (kind=RKIND), dimension(4) :: rk_weights, rk_substep_weights
-
- call mpas_setup_provis_states(domain % blocklist)
-
- !
- ! Initialize time_levs(2) with state at current time
- ! Initialize first RK state
- ! Couple tracers time_levs(2) with h in time-levels
- ! Initialize RK weights
- !
- block => domain % blocklist
- do while (associated(block))
-
- block % state % time_levs(2) % state % u % array(:,:) = block % state % time_levs(1) % state % u % array(:,:)
- block % state % time_levs(2) % state % h % array(:,:) = block % state % time_levs(1) % state % h % array(:,:)
- do iCell=1,block % mesh % nCells ! couple tracers to h
- do k=1,block % mesh % nVertLevels
- block % state % time_levs(2) % state % tracers % array(:,k,iCell) = block % state % time_levs(1) % state % tracers % array(:,k,iCell) &
- * block % state % time_levs(1) % state % h % array(k,iCell)
- end do
- end do
-
- call mpas_copy_state(block % provis, block % state % time_levs(1) % state)
-
- block => block % next
- end do
-
- rk_weights(1) = dt/6.
- rk_weights(2) = dt/3.
- rk_weights(3) = dt/3.
- rk_weights(4) = dt/6.
-
- rk_substep_weights(1) = dt/2.
- rk_substep_weights(2) = dt/2.
- rk_substep_weights(3) = dt
- rk_substep_weights(4) = 0.
-
-
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! BEGIN RK loop
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- do rk_step = 1, 4
-
-! --- update halos for diagnostic variables
-
- call mpas_dmpar_exch_halo_field(domain % blocklist % provis % pv_edge)
-
- if (config_h_mom_eddy_visc4 > 0.0) then
- call mpas_dmpar_exch_halo_field(domain % blocklist % provis % divergence)
- call mpas_dmpar_exch_halo_field(domain % blocklist % provis % vorticity)
- end if
-
-! --- compute tendencies
-
- block => domain % blocklist
- do while (associated(block))
- call sw_compute_tend(block % tend, block % provis, block % mesh)
- call sw_compute_scalar_tend(block % tend, block % provis, block % mesh)
- call sw_enforce_boundary_edge(block % tend, block % mesh)
- block => block % next
- end do
-
-! --- update halos for prognostic variables
-
- call mpas_dmpar_exch_halo_field(domain % blocklist % tend % u)
- call mpas_dmpar_exch_halo_field(domain % blocklist % tend % h)
- call mpas_dmpar_exch_halo_field(domain % blocklist % tend % tracers)
-
-! --- compute next substep state
-
- if (rk_step < 4) then
- block => domain % blocklist
- do while (associated(block))
- block % provis % u % array(:,:) = block % state % time_levs(1) % state % u % array(:,:) &
- + rk_substep_weights(rk_step) * block % tend % u % array(:,:)
- block % provis % h % array(:,:) = block % state % time_levs(1) % state % h % array(:,:) &
- + rk_substep_weights(rk_step) * block % tend % h % array(:,:)
- do iCell=1,block % mesh % nCells
- do k=1,block % mesh % nVertLevels
- block % provis % tracers % array(:,k,iCell) = ( block % state % time_levs(1) % state % h % array(k,iCell) * &
- block % state % time_levs(1) % state % tracers % array(:,k,iCell) &
- + rk_substep_weights(rk_step) * block % tend % tracers % array(:,k,iCell) &
- ) / block % provis % h % array(k,iCell)
- end do
- end do
- if (config_test_case == 1) then ! For case 1, wind field should be fixed
- block % provis % u % array(:,:) = block % state % time_levs(1) % state % u % array(:,:)
- end if
- call sw_compute_solve_diagnostics(dt, block % provis, block % mesh)
- block => block % next
- end do
- end if
-
-!--- accumulate update (for RK4)
-
- block => domain % blocklist
- do while (associated(block))
- block % state % time_levs(2) % state % u % array(:,:) = block % state % time_levs(2) % state % u % array(:,:) &
- + rk_weights(rk_step) * block % tend % u % array(:,:)
- block % state % time_levs(2) % state % h % array(:,:) = block % state % time_levs(2) % state % h % array(:,:) &
- + rk_weights(rk_step) * block % tend % h % array(:,:)
- do iCell=1,block % mesh % nCells
- do k=1,block % mesh % nVertLevels
- block % state % time_levs(2) % state % tracers % array(:,k,iCell) = &
- block % state % time_levs(2) % state % tracers % array(:,k,iCell) &
- + rk_weights(rk_step) * block % tend % tracers % array(:,k,iCell)
- end do
- end do
- block => block % next
- end do
-
- end do
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! END RK loop
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
-
- !
- ! A little clean up at the end: decouple new scalar fields and compute diagnostics for new state
- !
- block => domain % blocklist
- do while (associated(block))
- do iCell=1,block % mesh % nCells
- do k=1,block % mesh % nVertLevels
- block % state % time_levs(2) % state % tracers % array(:,k,iCell) = &
- block % state % time_levs(2) % state % tracers % array(:,k,iCell) &
- / block % state % time_levs(2) % state % h % array(k,iCell)
- end do
- end do
-
- if (config_test_case == 1) then ! For case 1, wind field should be fixed
- block % state % time_levs(2) % state % u % array(:,:) = block % state % time_levs(1) % state % u % array(:,:)
- end if
-
- call sw_compute_solve_diagnostics(dt, block % state % time_levs(2) % state, block % mesh)
-
- call mpas_reconstruct(block % mesh, block % state % time_levs(2) % state % u % array, &
- block % state % time_levs(2) % state % uReconstructX % array, &
- block % state % time_levs(2) % state % uReconstructY % array, &
- block % state % time_levs(2) % state % uReconstructZ % array, &
- block % state % time_levs(2) % state % uReconstructZonal % array, &
- block % state % time_levs(2) % state % uReconstructMeridional % array &
- )
-
- block => block % next
- end do
-
- call mpas_deallocate_provis_states(domain % blocklist)
-
- end subroutine sw_rk4
-
-
- subroutine sw_compute_tend(tend, s, grid)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Compute height and normal wind tendencies, as well as diagnostic variables
- !
- ! Input: s - current model state
- ! grid - grid metadata
- !
- ! Output: tend - computed tendencies for prognostic variables
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (tend_type), intent(inout) :: tend
- type (state_type), intent(in) :: s
- type (mesh_type), intent(in) :: grid
-
- integer :: iEdge, iCell, iVertex, k, cell1, cell2, vertex1, vertex2, eoe, i, j
- real (kind=RKIND) :: flux, vorticity_abs, workpv, q, upstream_bias
-
- integer :: nCells, nEdges, nVertices, nVertLevels
- real (kind=RKIND), dimension(:), pointer :: h_s, fVertex, fEdge, dvEdge, dcEdge, areaCell, areaTriangle, &
- meshScalingDel2, meshScalingDel4
- real (kind=RKIND), dimension(:,:), pointer :: vh, weightsOnEdge, kiteAreasOnVertex, h_edge, h, u, v, tend_h, tend_u, &
- circulation, vorticity, ke, pv_edge, divergence, h_vertex
- integer, dimension(:,:), pointer :: cellsOnEdge, cellsOnVertex, verticesOnEdge, edgesOnCell, edgesOnEdge, edgesOnVertex
- integer, dimension(:), pointer :: nEdgesOnCell, nEdgesOnEdge
- real (kind=RKIND) :: r, u_diffusion
-
- real (kind=RKIND), allocatable, dimension(:,:) :: delsq_divergence
- real (kind=RKIND), allocatable, dimension(:,:) :: delsq_u
- real (kind=RKIND), allocatable, dimension(:,:) :: delsq_circulation, delsq_vorticity
-
- real (kind=RKIND), dimension(:,:), pointer :: u_src
- real (kind=RKIND), parameter :: rho_ref = 1000.0
- real (kind=RKIND) :: ke_edge
-
-
- h => s % h % array
- u => s % u % array
- v => s % v % array
- h_edge => s % h_edge % array
- circulation => s % circulation % array
- vorticity => s % vorticity % array
- divergence => s % divergence % array
- ke => s % ke % array
- pv_edge => s % pv_edge % array
- vh => s % vh % array
-
- weightsOnEdge => grid % weightsOnEdge % array
- kiteAreasOnVertex => grid % kiteAreasOnVertex % array
- cellsOnEdge => grid % cellsOnEdge % array
- cellsOnVertex => grid % cellsOnVertex % array
- verticesOnEdge => grid % verticesOnEdge % array
- nEdgesOnCell => grid % nEdgesOnCell % array
- edgesOnCell => grid % edgesOnCell % array
- nEdgesOnEdge => grid % nEdgesOnEdge % array
- edgesOnEdge => grid % edgesOnEdge % array
- edgesOnVertex => grid % edgesOnVertex % array
- dcEdge => grid % dcEdge % array
- dvEdge => grid % dvEdge % array
- areaCell => grid % areaCell % array
- areaTriangle => grid % areaTriangle % array
- h_s => grid % h_s % array
- fVertex => grid % fVertex % array
- fEdge => grid % fEdge % array
-
- tend_h => tend % h % array
- tend_u => tend % u % array
-
- nCells = grid % nCells
- nEdges = grid % nEdges
- nVertices = grid % nVertices
- nVertLevels = grid % nVertLevels
-
- u_src => grid % u_src % array
-
- meshScalingDel2 => grid % meshScalingDel2 % array
- meshScalingDel4 => grid % meshScalingDel4 % array
-
-
- !
- ! Compute height tendency for each cell
- !
- tend_h(:,:) = 0.0
- do iEdge=1,nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- do k=1,nVertLevels
- flux = u(k,iEdge) * dvEdge(iEdge) * h_edge(k,iEdge)
- tend_h(k,cell1) = tend_h(k,cell1) - flux
- tend_h(k,cell2) = tend_h(k,cell2) + flux
- end do
- end do
- do iCell=1,grid % nCellsSolve
- do k=1,nVertLevels
- tend_h(k,iCell) = tend_h(k,iCell) / areaCell(iCell)
- end do
- end do
-
-#ifdef LANL_FORMULATION
- !
- ! Compute u (normal) velocity tendency for each edge (cell face)
- !
- tend_u(:,:) = 0.0
- do iEdge=1,grid % nEdgesSolve
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- vertex1 = verticesOnEdge(1,iEdge)
- vertex2 = verticesOnEdge(2,iEdge)
-
- do k=1,nVertLevels
- q = 0.0
- do j = 1,nEdgesOnEdge(iEdge)
- eoe = edgesOnEdge(j,iEdge)
- workpv = 0.5 * (pv_edge(k,iEdge) + pv_edge(k,eoe))
- q = q + weightsOnEdge(j,iEdge) * u(k,eoe) * workpv * h_edge(k,eoe)
- end do
-
- tend_u(k,iEdge) = &
- q &
- - ( ke(k,cell2) - ke(k,cell1) + &
- gravity * (h(k,cell2) + h_s(cell2) - h(k,cell1) - h_s(cell1)) &
- ) / dcEdge(iEdge)
- end do
- end do
-
-
-#endif
-
-#ifdef NCAR_FORMULATION
- !
- ! Compute u (normal) velocity tendency for each edge (cell face)
- !
- tend_u(:,:) = 0.0
- do iEdge=1,grid % nEdgesSolve
- vertex1 = verticesOnEdge(1,iEdge)
- vertex2 = verticesOnEdge(2,iEdge)
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
-
- do k=1,nVertLevels
- vorticity_abs = fEdge(iEdge) + (circulation(k,vertex1) + circulation(k,vertex2)) / &
- (areaTriangle(vertex1) + areaTriangle(vertex2))
-
- workpv = 2.0 * vorticity_abs / (h(k,cell1) + h(k,cell2))
-
- tend_u(k,iEdge) = workpv * vh(k,iEdge) - &
- (ke(k,cell2) - ke(k,cell1) + &
- gravity * (h(k,cell2) + h_s(cell2) - h(k,cell1) - h_s(cell1)) &
- ) / &
- dcEdge(iEdge)
- end do
- end do
-#endif
-
- ! Compute diffusion, computed as </font>
<font color="black">abla divergence - k \times </font>
<font color="red">abla vorticity
- ! only valid for visc == constant
- if (config_h_mom_eddy_visc2 > 0.0) then
- do iEdge=1,grid % nEdgesSolve
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- vertex1 = verticesOnEdge(1,iEdge)
- vertex2 = verticesOnEdge(2,iEdge)
-
- do k=1,nVertLevels
- u_diffusion = ( divergence(k,cell2) - divergence(k,cell1) ) / dcEdge(iEdge) &
- -(vorticity(k,vertex2) - vorticity(k,vertex1) ) / dvEdge(iEdge)
- u_diffusion = meshScalingDel2(iEdge) * config_h_mom_eddy_visc2 * u_diffusion
- tend_u(k,iEdge) = tend_u(k,iEdge) + u_diffusion
- end do
- end do
- end if
-
- !
- ! velocity tendency: del4 dissipation, -</font>
<font color="black">u_4 </font>
<font color="red">abla^4 u
- ! computed as </font>
<font color="black">abla^2 u = </font>
<font color="black">abla divergence + k \times </font>
<font color="red">abla vorticity
- ! applied recursively.
- ! strictly only valid for h_mom_eddy_visc4 == constant
- !
- if (config_h_mom_eddy_visc4 > 0.0) then
- allocate(delsq_divergence(nVertLevels, nCells+1))
- allocate(delsq_u(nVertLevels, nEdges+1))
- allocate(delsq_circulation(nVertLevels, nVertices+1))
- allocate(delsq_vorticity(nVertLevels, nVertices+1))
-
- delsq_u(:,:) = 0.0
-
- ! Compute </font>
<font color="black">abla^2 u = </font>
<font color="black">abla divergence + k \times </font>
<font color="red">abla vorticity
- do iEdge=1,grid % nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- vertex1 = verticesOnEdge(1,iEdge)
- vertex2 = verticesOnEdge(2,iEdge)
-
- do k=1,nVertLevels
-
- delsq_u(k,iEdge) = ( divergence(k,cell2) - divergence(k,cell1) ) / dcEdge(iEdge) &
- -( vorticity(k,vertex2) - vorticity(k,vertex1)) / dvEdge(iEdge)
-
- end do
- end do
-
- ! vorticity using </font>
<font color="red">abla^2 u
- delsq_circulation(:,:) = 0.0
- do iEdge=1,nEdges
- vertex1 = verticesOnEdge(1,iEdge)
- vertex2 = verticesOnEdge(2,iEdge)
- do k=1,nVertLevels
- delsq_circulation(k,vertex1) = delsq_circulation(k,vertex1) &
- - dcEdge(iEdge) * delsq_u(k,iEdge)
- delsq_circulation(k,vertex2) = delsq_circulation(k,vertex2) &
- + dcEdge(iEdge) * delsq_u(k,iEdge)
- end do
- end do
- do iVertex=1,nVertices
- r = 1.0 / areaTriangle(iVertex)
- do k=1,nVertLevels
- delsq_vorticity(k,iVertex) = delsq_circulation(k,iVertex) * r
- end do
- end do
-
- ! Divergence using </font>
<font color="red">abla^2 u
- delsq_divergence(:,:) = 0.0
- do iEdge=1,nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- do k=1,nVertLevels
- delsq_divergence(k,cell1) = delsq_divergence(k,cell1) &
- + delsq_u(k,iEdge)*dvEdge(iEdge)
- delsq_divergence(k,cell2) = delsq_divergence(k,cell2) &
- - delsq_u(k,iEdge)*dvEdge(iEdge)
- end do
- end do
- do iCell = 1,nCells
- r = 1.0 / areaCell(iCell)
- do k = 1,nVertLevels
- delsq_divergence(k,iCell) = delsq_divergence(k,iCell) * r
- end do
- end do
-
- ! Compute - \kappa </font>
<font color="red">abla^4 u
- ! as </font>
<font color="black">abla div(</font>
<font color="black">abla^2 u) + k \times </font>
<font color="black">abla ( k \cross curl(</font>
<font color="red">abla^2 u) )
- do iEdge=1,grid % nEdgesSolve
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- vertex1 = verticesOnEdge(1,iEdge)
- vertex2 = verticesOnEdge(2,iEdge)
-
- do k=1,nVertLevels
-
- u_diffusion = ( delsq_divergence(k,cell2) &
- - delsq_divergence(k,cell1) ) / dcEdge(iEdge) &
- -( delsq_vorticity(k,vertex2) &
- - delsq_vorticity(k,vertex1) ) / dvEdge(iEdge)
-
- u_diffusion = meshScalingDel4(iEdge) * config_h_mom_eddy_visc4 * u_diffusion
- tend_u(k,iEdge) = tend_u(k,iEdge) - u_diffusion
-
- end do
- end do
-
- deallocate(delsq_divergence)
- deallocate(delsq_u)
- deallocate(delsq_circulation)
- deallocate(delsq_vorticity)
-
- end if
-
- ! Compute u (velocity) tendency from wind stress (u_src)
- if(config_wind_stress) then
- do iEdge=1,grid % nEdges
- tend_u(1,iEdge) = tend_u(1,iEdge) &
- + u_src(1,iEdge)/rho_ref/h_edge(1,iEdge)
- end do
- endif
-
- if (config_bottom_drag) then
- do iEdge=1,grid % nEdges
- ! bottom drag is the same as POP:
- ! -c |u| u where c is unitless and 1.0e-3.
- ! see POP Reference guide, section 3.4.4.
- ke_edge = 0.5 * ( ke(1,cellsOnEdge(1,iEdge)) &
- + ke(1,cellsOnEdge(2,iEdge)))
-
- tend_u(1,iEdge) = tend_u(1,iEdge) &
- - 1.0e-3*u(1,iEdge) &
- *sqrt(2.0*ke_edge)/h_edge(1,iEdge)
- end do
- endif
-
- end subroutine sw_compute_tend
-
-
- subroutine sw_compute_scalar_tend(tend, s, grid)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- !
- ! Input: s - current model state
- ! grid - grid metadata
- !
- ! Output: tend - computed scalar tendencies
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- type (tend_type), intent(inout) :: tend
- type (state_type), intent(in) :: s
- type (mesh_type), intent(in) :: grid
-
- integer :: iCell, iEdge, k, iTracer, cell1, cell2, i
- real (kind=RKIND) :: flux, tracer_edge, r
- real (kind=RKIND) :: invAreaCell1, invAreaCell2, tracer_turb_flux
- integer, dimension(:,:), pointer :: boundaryEdge
- real (kind=RKIND), dimension(:,:), allocatable :: boundaryMask
- real (kind=RKIND), dimension(:,:,:), allocatable:: delsq_tracer
-
- real (kind=RKIND) :: d2fdx2_cell1, d2fdx2_cell2
- real (kind=RKIND), dimension(:), pointer :: dvEdge, dcEdge, areaCell
- real (kind=RKIND), dimension(:,:,:), pointer :: tracers, tracer_tend
- integer, dimension(:,:), pointer :: cellsOnEdge, boundaryCell
- real (kind=RKIND), dimension(:,:,:), pointer :: deriv_two
- real (kind=RKIND) :: coef_3rd_order
- real (kind=RKIND), dimension(:,:), pointer :: u, h_edge
-
- u => s % u % array
- h_edge => s % h_edge % array
- dcEdge => grid % dcEdge % array
- deriv_two => grid % deriv_two % array
- dvEdge => grid % dvEdge % array
- tracers => s % tracers % array
- cellsOnEdge => grid % cellsOnEdge % array
- boundaryCell=> grid % boundaryCell % array
- boundaryEdge=> grid % boundaryEdge % array
- areaCell => grid % areaCell % array
- tracer_tend => tend % tracers % array
-
- coef_3rd_order = 0.
- if (config_tracer_adv_order == 3) coef_3rd_order = 1.0
- if (config_tracer_adv_order == 3 .and. config_monotonic) coef_3rd_order = 0.25
-
-
- tracer_tend(:,:,:) = 0.0
-
- if (config_tracer_adv_order == 2) then
-
- do iEdge=1,grid % nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- if (cell1 <= grid%nCells .and. cell2 <= grid%nCells) then
- do k=1,grid % nVertLevels
- do iTracer=1,grid % nTracers
- tracer_edge = 0.5 * (tracers(iTracer,k,cell1) + tracers(iTracer,k,cell2))
- flux = u(k,iEdge) * dvEdge(iEdge) * h_edge(k,iEdge) * tracer_edge
- tracer_tend(iTracer,k,cell1) = tracer_tend(iTracer,k,cell1) - flux/areaCell(cell1)
- tracer_tend(iTracer,k,cell2) = tracer_tend(iTracer,k,cell2) + flux/areaCell(cell2)
- end do
- end do
- end if
- end do
-
- else if (config_tracer_adv_order == 3) then
-
- do iEdge=1,grid%nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
-
- !-- if a cell not on the most outside ring of the halo
- if (cell1 <= grid%nCells .and. cell2 <= grid%nCells) then
-
- do k=1,grid % nVertLevels
-
- d2fdx2_cell1 = 0.0
- d2fdx2_cell2 = 0.0
-
- do iTracer=1,grid % nTracers
-
- !-- if not a boundary cell
- if(boundaryCell(k,cell1).eq.0.and.boundaryCell(k,cell2).eq.0) then
-
- d2fdx2_cell1 = deriv_two(1,1,iEdge) * tracers(iTracer,k,cell1)
- d2fdx2_cell2 = deriv_two(1,2,iEdge) * tracers(iTracer,k,cell2)
-
- !-- all edges of cell 1
- do i=1, grid % nEdgesOnCell % array (cell1)
- d2fdx2_cell1 = d2fdx2_cell1 + &
- deriv_two(i+1,1,iEdge) * tracers(iTracer,k,grid % CellsOnCell % array (i,cell1))
- end do
-
- !-- all edges of cell 2
- do i=1, grid % nEdgesOnCell % array (cell2)
- d2fdx2_cell2 = d2fdx2_cell2 + &
- deriv_two(i+1,2,iEdge) * tracers(iTracer,k,grid % CellsOnCell % array (i,cell2))
- end do
-
- endif
-
- !-- if u > 0:
- if (u(k,iEdge) > 0) then
- flux = dvEdge(iEdge) * u(k,iEdge) * h_edge(k,iEdge) * ( &
- 0.5*(tracers(iTracer,k,cell1) + tracers(iTracer,k,cell2)) &
- -(dcEdge(iEdge) **2) * (d2fdx2_cell1 + d2fdx2_cell2) / 12. &
- -(dcEdge(iEdge) **2) * coef_3rd_order*(d2fdx2_cell1 - d2fdx2_cell2) / 12. )
- !-- else u <= 0:
- else
- flux = dvEdge(iEdge) * u(k,iEdge) * h_edge(k,iEdge) * ( &
- 0.5*(tracers(iTracer,k,cell1) + tracers(iTracer,k,cell2)) &
- -(dcEdge(iEdge) **2) * (d2fdx2_cell1 + d2fdx2_cell2) / 12. &
- +(dcEdge(iEdge) **2) * coef_3rd_order*(d2fdx2_cell1 - d2fdx2_cell2) / 12. )
- end if
-
- !-- update tendency
- tracer_tend(iTracer,k,cell1) = tracer_tend(iTracer,k,cell1) - flux/areaCell(cell1)
- tracer_tend(iTracer,k,cell2) = tracer_tend(iTracer,k,cell2) + flux/areaCell(cell2)
- enddo
- end do
- end if
- end do
-
- else if (config_tracer_adv_order == 4) then
-
- do iEdge=1,grid%nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
-
- !-- if an edge is not on the outer-most ring of the halo
- if (cell1 <= grid%nCells .and. cell2 <= grid%nCells) then
-
- do k=1,grid % nVertLevels
-
- d2fdx2_cell1 = 0.0
- d2fdx2_cell2 = 0.0
-
- do iTracer=1,grid % nTracers
-
- !-- if not a boundary cell
- if(boundaryCell(k,cell1).eq.0.and.boundaryCell(k,cell2).eq.0) then
-
- d2fdx2_cell1 = deriv_two(1,1,iEdge) * tracers(iTracer,k,cell1)
- d2fdx2_cell2 = deriv_two(1,2,iEdge) * tracers(iTracer,k,cell2)
-
- !-- all edges of cell 1
- do i=1, grid % nEdgesOnCell % array (cell1)
- d2fdx2_cell1 = d2fdx2_cell1 + &
- deriv_two(i+1,1,iEdge) * tracers(iTracer,k,grid % CellsOnCell % array (i,cell1))
- end do
-
- !-- all edges of cell 2
- do i=1, grid % nEdgesOnCell % array (cell2)
- d2fdx2_cell2 = d2fdx2_cell2 + &
- deriv_two(i+1,2,iEdge) * tracers(iTracer,k,grid % CellsOnCell % array (i,cell2))
- end do
-
- endif
-
- flux = dvEdge(iEdge) * u(k,iEdge) * h_edge(k,iEdge) * ( &
- 0.5*(tracers(iTracer,k,cell1) + tracers(iTracer,k,cell2)) &
- -(dcEdge(iEdge) **2) * (d2fdx2_cell1 + d2fdx2_cell2) / 12. )
-
- !-- update tendency
- tracer_tend(iTracer,k,cell1) = tracer_tend(iTracer,k,cell1) - flux/areaCell(cell1)
- tracer_tend(iTracer,k,cell2) = tracer_tend(iTracer,k,cell2) + flux/areaCell(cell2)
- enddo
- end do
- end if
- end do
-
- endif ! if (config_tracer_adv_order == 2 )
-
- !
- ! tracer tendency: del2 horizontal tracer diffusion, div(h \kappa_2 </font>
<font color="red">abla \phi)
- !
- if ( config_h_tracer_eddy_diff2 > 0.0 ) then
-
- !
- ! compute a boundary mask to enforce insulating boundary conditions in the horizontal
- !
- allocate(boundaryMask(grid % nVertLevels, grid % nEdges+1))
- boundaryMask = 1.0
- where(boundaryEdge.eq.1) boundaryMask=0.0
-
- do iEdge=1,grid % nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- invAreaCell1 = 1.0/areaCell(cell1)
- invAreaCell2 = 1.0/areaCell(cell2)
-
- do k=1,grid % nVertLevels
- do iTracer=1, grid % nTracers
- ! \kappa_2 </font>
<font color="red">abla \phi on edge
- tracer_turb_flux = config_h_tracer_eddy_diff2 &
- *( tracers(iTracer,k,cell2) - tracers(iTracer,k,cell1)) / dcEdge(iEdge)
-
- ! div(h \kappa_2 </font>
<font color="red">abla \phi) at cell center
- flux = dvEdge(iEdge) * h_edge(k,iEdge) * tracer_turb_flux * boundaryMask(k, iEdge)
- tracer_tend(iTracer,k,cell1) = tracer_tend(iTracer,k,cell1) + flux * invAreaCell1
- tracer_tend(iTracer,k,cell2) = tracer_tend(iTracer,k,cell2) - flux * invAreaCell2
- end do
- end do
-
- end do
-
- deallocate(boundaryMask)
-
- end if
-
- !
- ! tracer tendency: del4 horizontal tracer diffusion, &
- ! div(h \kappa_4 </font>
<font color="black">abla [div(h </font>
<font color="red">abla \phi)])
- !
- if ( config_h_tracer_eddy_diff4 > 0.0 ) then
-
- !
- ! compute a boundary mask to enforce insulating boundary conditions in the horizontal
- !
- allocate(boundaryMask(grid % nVertLevels, grid % nEdges+1))
- boundaryMask = 1.0
- where(boundaryEdge.eq.1) boundaryMask=0.0
-
- allocate(delsq_tracer(grid % nTracers, grid % nVertLevels, grid % nCells+1))
-
- delsq_tracer(:,:,:) = 0.
-
- ! first del2: div(h </font>
<font color="red">abla \phi) at cell center
- do iEdge=1,grid % nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
-
- do k=1,grid % nVertLevels
- do iTracer=1, grid % nTracers
- delsq_tracer(iTracer,k,cell1) = delsq_tracer(iTracer,k,cell1) &
- + dvEdge(iEdge) * h_edge(k,iEdge) * (tracers(iTracer,k,cell2) - tracers(iTracer,k,cell1)) / dcEdge(iEdge) * boundaryMask(k,iEdge)
- delsq_tracer(iTracer,k,cell2) = delsq_tracer(iTracer,k,cell2) &
- - dvEdge(iEdge) * h_edge(k,iEdge) * (tracers(iTracer,k,cell2) - tracers(iTracer,k,cell1)) / dcEdge(iEdge) * boundaryMask(k,iEdge)
- end do
- end do
-
- end do
-
- do iCell = 1, grid % nCells
- r = 1.0 / grid % areaCell % array(iCell)
- do k=1,grid % nVertLevels
- do iTracer=1,grid % nTracers
- delsq_tracer(iTracer,k,iCell) = delsq_tracer(iTracer,k,iCell) * r
- end do
- end do
- end do
-
- ! second del2: div(h </font>
<font color="red">abla [delsq_tracer]) at cell center
- do iEdge=1,grid % nEdges
- cell1 = grid % cellsOnEdge % array(1,iEdge)
- cell2 = grid % cellsOnEdge % array(2,iEdge)
- invAreaCell1 = 1.0 / grid % areaCell % array(cell1)
- invAreaCell2 = 1.0 / grid % areaCell % array(cell2)
-
- do k=1,grid % nVertLevels
- do iTracer=1,grid % nTracers
- tracer_turb_flux = config_h_tracer_eddy_diff4 * (delsq_tracer(iTracer,k,cell2) - delsq_tracer(iTracer,k,cell1)) / dcEdge(iEdge)
- flux = dvEdge(iEdge) * tracer_turb_flux
- tracer_tend(iTracer,k,cell1) = tracer_tend(iTracer,k,cell1) - flux * invAreaCell1 * boundaryMask(k,iEdge)
- tracer_tend(iTracer,k,cell2) = tracer_tend(iTracer,k,cell2) + flux * invAreaCell2 * boundaryMask(k,iEdge)
- end do
- enddo
-
- end do
-
- deallocate(delsq_tracer)
- deallocate(boundaryMask)
-
- end if
-
- end subroutine sw_compute_scalar_tend
-
-
- subroutine sw_compute_solve_diagnostics(dt, s, grid)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Compute diagnostic fields used in the tendency computations
- !
- ! Input: grid - grid metadata
- !
- ! Output: s - computed diagnostics
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
- implicit none
-
- real (kind=RKIND), intent(in) :: dt
- type (state_type), intent(inout) :: s
- type (mesh_type), intent(in) :: grid
-
-
- integer :: iEdge, iCell, iVertex, k, cell1, cell2, vertex1, vertex2, eoe, i, j, cov
- real (kind=RKIND) :: flux, vorticity_abs, workpv
-
- integer :: nCells, nEdges, nVertices, nVertLevels
- real (kind=RKIND), dimension(:), pointer :: h_s, fVertex, fEdge, dvEdge, dcEdge, areaCell, areaTriangle
- real (kind=RKIND), dimension(:,:), pointer :: vh, weightsOnEdge, kiteAreasOnVertex, h_edge, h, u, v, tend_h, tend_u, &
- circulation, vorticity, ke, pv_edge, pv_vertex, pv_cell, gradPVn, gradPVt, divergence, &
- h_vertex, vorticity_cell
- integer, dimension(:,:), pointer :: cellsOnEdge, cellsOnVertex, verticesOnEdge, edgesOnCell, edgesOnEdge, edgesOnVertex, boundaryEdge, boundaryCell
- integer, dimension(:), pointer :: nEdgesOnCell, nEdgesOnEdge
- real (kind=RKIND) :: r, h1, h2
- real (kind=RKIND) :: d2fdx2_cell1, d2fdx2_cell2
- real (kind=RKIND), dimension(:,:,:), pointer :: deriv_two
- real (kind=RKIND) :: coef_3rd_order
-
- h => s % h % array
- u => s % u % array
- v => s % v % array
- vh => s % vh % array
- h_edge => s % h_edge % array
- h_vertex => s % h_vertex % array
- tend_h => s % h % array
- tend_u => s % u % array
- circulation => s % circulation % array
- vorticity => s % vorticity % array
- divergence => s % divergence % array
- ke => s % ke % array
- pv_edge => s % pv_edge % array
- pv_vertex => s % pv_vertex % array
- pv_cell => s % pv_cell % array
- vorticity_cell => s % vorticity_cell % array
- gradPVn => s % gradPVn % array
- gradPVt => s % gradPVt % array
-
- weightsOnEdge => grid % weightsOnEdge % array
- kiteAreasOnVertex => grid % kiteAreasOnVertex % array
- cellsOnEdge => grid % cellsOnEdge % array
- cellsOnVertex => grid % cellsOnVertex % array
- verticesOnEdge => grid % verticesOnEdge % array
- nEdgesOnCell => grid % nEdgesOnCell % array
- edgesOnCell => grid % edgesOnCell % array
- nEdgesOnEdge => grid % nEdgesOnEdge % array
- edgesOnEdge => grid % edgesOnEdge % array
- edgesOnVertex => grid % edgesOnVertex % array
- dcEdge => grid % dcEdge % array
- dvEdge => grid % dvEdge % array
- areaCell => grid % areaCell % array
- areaTriangle => grid % areaTriangle % array
- h_s => grid % h_s % array
- fVertex => grid % fVertex % array
- fEdge => grid % fEdge % array
- deriv_two => grid % deriv_two % array
-
- nCells = grid % nCells
- nEdges = grid % nEdges
- nVertices = grid % nVertices
- nVertLevels = grid % nVertLevels
-
- boundaryEdge => grid % boundaryEdge % array
- boundaryCell => grid % boundaryCell % array
-
- !
- ! Find those cells that have an edge on the boundary
- !
- boundaryCell(:,:) = 0
- do iEdge=1,nEdges
- do k=1,nVertLevels
- if(boundaryEdge(k,iEdge).eq.1) then
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- boundaryCell(k,cell1) = 1
- boundaryCell(k,cell2) = 1
- endif
- enddo
- enddo
-
- !
- ! Compute height on cell edges at velocity locations
- ! Namelist options control the order of accuracy of the reconstructed h_edge value
- !
-
- coef_3rd_order = 0.
- if (config_thickness_adv_order == 3) coef_3rd_order = 1.0
- if (config_thickness_adv_order == 3 .and. config_monotonic) coef_3rd_order = 0.25
-
- if (config_thickness_adv_order == 2) then
-
- do iEdge=1,grid % nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- if (cell1 <= grid%nCells .and. cell2 <= grid%nCells) then
- do k=1,grid % nVertLevels
- h_edge(k,iEdge) = 0.5 * (h(k,cell1) + h(k,cell2))
- end do
- end if
- end do
-
- else if (config_thickness_adv_order == 3) then
-
- do iEdge=1,grid%nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
-
- !-- if a cell not on the most outside ring of the halo
- if (cell1 <= grid%nCells .and. cell2 <= grid%nCells) then
-
- do k=1,grid % nVertLevels
-
- d2fdx2_cell1 = 0.0
- d2fdx2_cell2 = 0.0
-
- !-- if not a boundary cell
- if(boundaryCell(k,cell1).eq.0.and.boundaryCell(k,cell2).eq.0) then
-
- d2fdx2_cell1 = deriv_two(1,1,iEdge) * h(k,cell1)
- d2fdx2_cell2 = deriv_two(1,2,iEdge) * h(k,cell2)
-
- !-- all edges of cell 1
- do i=1, grid % nEdgesOnCell % array (cell1)
- d2fdx2_cell1 = d2fdx2_cell1 + &
- deriv_two(i+1,1,iEdge) * h(k,grid % CellsOnCell % array (i,cell1))
- end do
-
- !-- all edges of cell 2
- do i=1, grid % nEdgesOnCell % array (cell2)
- d2fdx2_cell2 = d2fdx2_cell2 + &
- deriv_two(i+1,2,iEdge) * h(k,grid % CellsOnCell % array (i,cell2))
- end do
-
- endif
-
- !-- if u > 0:
- if (u(k,iEdge) > 0) then
- h_edge(k,iEdge) = &
- 0.5*(h(k,cell1) + h(k,cell2)) &
- -(dcEdge(iEdge) **2) * (d2fdx2_cell1 + d2fdx2_cell2) / 12. &
- -(dcEdge(iEdge) **2) * coef_3rd_order*(d2fdx2_cell1 - d2fdx2_cell2) / 12.
- !-- else u <= 0:
- else
- h_edge(k,iEdge) = &
- 0.5*(h(k,cell1) + h(k,cell2)) &
- -(dcEdge(iEdge) **2) * (d2fdx2_cell1 + d2fdx2_cell2) / 12. &
- +(dcEdge(iEdge) **2) * coef_3rd_order*(d2fdx2_cell1 - d2fdx2_cell2) / 12.
- end if
-
- end do ! do k
- end if ! if (cell1 <=
- end do ! do iEdge
-
- else if (config_thickness_adv_order == 4) then
-
- do iEdge=1,grid%nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
-
- !-- if a cell not on the most outside ring of the halo
- if (cell1 <= grid%nCells .and. cell2 <= grid%nCells) then
-
- do k=1,grid % nVertLevels
-
- d2fdx2_cell1 = 0.0
- d2fdx2_cell2 = 0.0
-
- !-- if not a boundary cell
- if(boundaryCell(k,cell1).eq.0.and.boundaryCell(k,cell2).eq.0) then
-
- d2fdx2_cell1 = deriv_two(1,1,iEdge) * h(k,cell1)
- d2fdx2_cell2 = deriv_two(1,2,iEdge) * h(k,cell2)
-
- !-- all edges of cell 1
- do i=1, grid % nEdgesOnCell % array (cell1)
- d2fdx2_cell1 = d2fdx2_cell1 + &
- deriv_two(i+1,1,iEdge) * h(k,grid % CellsOnCell % array (i,cell1))
- end do
-
- !-- all edges of cell 2
- do i=1, grid % nEdgesOnCell % array (cell2)
- d2fdx2_cell2 = d2fdx2_cell2 + &
- deriv_two(i+1,2,iEdge) * h(k,grid % CellsOnCell % array (i,cell2))
- end do
-
- endif
-
- h_edge(k,iEdge) = &
- 0.5*(h(k,cell1) + h(k,cell2)) &
- -(dcEdge(iEdge) **2) * (d2fdx2_cell1 + d2fdx2_cell2) / 12.
-
- end do ! do k
- end if ! if (cell1 <=
- end do ! do iEdge
-
- endif ! if(config_thickness_adv_order == 2)
-
- !
- ! set the velocity in the nEdges+1 slot to zero, this is a dummy address
- ! used to when reading for edges that do not exist
- !
- u(:,nEdges+1) = 0.0
-
- !
- ! Compute circulation and relative vorticity at each vertex
- !
- circulation(:,:) = 0.0
- do iEdge=1,nEdges
- do k=1,nVertLevels
- circulation(k,verticesOnEdge(1,iEdge)) = circulation(k,verticesOnEdge(1,iEdge)) - dcEdge(iEdge) * u(k,iEdge)
- circulation(k,verticesOnEdge(2,iEdge)) = circulation(k,verticesOnEdge(2,iEdge)) + dcEdge(iEdge) * u(k,iEdge)
- end do
- end do
- do iVertex=1,nVertices
- do k=1,nVertLevels
- vorticity(k,iVertex) = circulation(k,iVertex) / areaTriangle(iVertex)
- end do
- end do
-
-
- !
- ! Compute the divergence at each cell center
- !
- divergence(:,:) = 0.0
- do iEdge=1,nEdges
- cell1 = cellsOnEdge(1,iEdge)
- cell2 = cellsOnEdge(2,iEdge)
- if (cell1 <= nCells) then
- do k=1,nVertLevels
- divergence(k,cell1) = divergence(k,cell1) + u(k,iEdge)*dvEdge(iEdge)
- enddo
- endif
- if(cell2 <= nCells) then
- do k=1,nVertLevels
- divergence(k,cell2) = divergence(k,cell2) - u(k,iEdge)*dvEdge(iEdge)
- enddo
- end if
- end do
- do iCell = 1,nCells
- r = 1.0 / areaCell(iCell)
- do k = 1,nVertLevels
- divergence(k,iCell) = divergence(k,iCell) * r
- enddo
- enddo
-
- !
- ! Compute kinetic energy in each cell
- !
- ke(:,:) = 0.0
- do iCell=1,nCells
- do i=1,nEdgesOnCell(iCell)
- iEdge = edgesOnCell(i,iCell)
- do k=1,nVertLevels
- ke(k,iCell) = ke(k,iCell) + 0.25 * dcEdge(iEdge) * dvEdge(iEdge) * u(k,iEdge)**2.0
- end do
- end do
- do k=1,nVertLevels
- ke(k,iCell) = ke(k,iCell) / areaCell(iCell)
- end do
- end do
-
- !
- ! Compute v (tangential) velocities
- !
- v(:,:) = 0.0
- do iEdge = 1,nEdges
- do i=1,nEdgesOnEdge(iEdge)
- eoe = edgesOnEdge(i,iEdge)
- do k = 1,nVertLevels
- v(k,iEdge) = v(k,iEdge) + weightsOnEdge(i,iEdge) * u(k, eoe)
- end do
- end do
- end do
-
-#ifdef NCAR_FORMULATION
- !
- ! Compute mass fluxes tangential to each edge (i.e., through the faces of dual grid cells)
- !
- vh(:,:) = 0.0
- do iEdge=1,grid % nEdgesSolve
- do j=1,nEdgesOnEdge(iEdge)
- eoe = edgesOnEdge(j,iEdge)
- do k=1,nVertLevels
- vh(k,iEdge) = vh(k,iEdge) + weightsOnEdge(j,iEdge) * u(k,eoe) * h_edge(k,eoe)
- end do
- end do
- end do
-#endif
-
-
- !
- ! Compute height at vertices, pv at vertices, and average pv to edge locations
- ! ( this computes pv_vertex at all vertices bounding real cells and distance-1 ghost cells )
- !
- do iVertex = 1,nVertices
- do k=1,nVertLevels
- h_vertex(k,iVertex) = 0.0
- do i=1,grid % vertexDegree
- h_vertex(k,iVertex) = h_vertex(k,iVertex) + h(k,cellsOnVertex(i,iVertex)) * kiteAreasOnVertex(i,iVertex)
- end do
- h_vertex(k,iVertex) = h_vertex(k,iVertex) / areaTriangle(iVertex)
-
- pv_vertex(k,iVertex) = (fVertex(iVertex) + vorticity(k,iVertex)) / h_vertex(k,iVertex)
- end do
- end do
-
-
- !
- ! Compute gradient of PV in the tangent direction
- ! ( this computes gradPVt at all edges bounding real cells and distance-1 ghost cells )
- !
- do iEdge = 1,nEdges
- do k = 1,nVertLevels
- gradPVt(k,iEdge) = (pv_vertex(k,verticesOnEdge(2,iEdge)) - pv_vertex(k,verticesOnEdge(1,iEdge))) / &
- dvEdge(iEdge)
- enddo
- enddo
-
- !
- ! Compute pv at the edges
- ! ( this computes pv_edge at all edges bounding real cells )
- !
- pv_edge(:,:) = 0.0
- do iVertex = 1,nVertices
- do i=1,grid % vertexDegree
- iEdge = edgesOnVertex(i,iVertex)
- do k=1,nVertLevels
- pv_edge(k,iEdge) = pv_edge(k,iEdge) + 0.5 * pv_vertex(k,iVertex)
- end do
- end do
- end do
-
-
- !
- ! Modify PV edge with upstream bias.
- !
- do iEdge = 1,nEdges
- do k = 1,nVertLevels
- pv_edge(k,iEdge) = pv_edge(k,iEdge) - config_apvm_upwinding * v(k,iEdge) * dt * gradPVt(k,iEdge)
- enddo
- enddo
-
-
- !
- ! Compute pv at cell centers
- ! ( this computes pv_cell for all real cells and distance-1 ghost cells )
- !
- pv_cell(:,:) = 0.0
- vorticity_cell(:,:) = 0.0
- do iVertex = 1, nVertices
- do i=1,grid % vertexDegree
- iCell = cellsOnVertex(i,iVertex)
- if (iCell <= nCells) then
- do k = 1,nVertLevels
- pv_cell(k,iCell) = pv_cell(k,iCell) + kiteAreasOnVertex(i, iVertex) * pv_vertex(k, iVertex) / areaCell(iCell)
- vorticity_cell(k,iCell) = vorticity_cell(k,iCell) + kiteAreasOnVertex(i, iVertex) * vorticity(k, iVertex) / areaCell(iCell)
- enddo
- endif
- enddo
- enddo
-
-
- !
- ! Compute gradient of PV in normal direction
- ! ( this computes gradPVn for all edges bounding real cells )
- !
- gradPVn(:,:) = 0.0
- do iEdge = 1,nEdges
- if( cellsOnEdge(1,iEdge) <= nCells .and. cellsOnEdge(2,iEdge) <= nCells) then
- do k = 1,nVertLevels
- gradPVn(k,iEdge) = (pv_cell(k,cellsOnEdge(2,iEdge)) - pv_cell(k,cellsOnEdge(1,iEdge))) / &
- dcEdge(iEdge)
- enddo
- endif
- enddo
-
- ! Modify PV edge with upstream bias.
- !
- do iEdge = 1,nEdges
- do k = 1,nVertLevels
- pv_edge(k,iEdge) = pv_edge(k,iEdge) - config_apvm_upwinding * u(k,iEdge) * dt * gradPVn(k,iEdge)
- enddo
- enddo
-
- !
- ! set pv_edge = fEdge / h_edge at boundary points
- !
- ! if (maxval(boundaryEdge).ge.0) then
- ! do iEdge = 1,nEdges
- ! cell1 = cellsOnEdge(1,iEdge)
- ! cell2 = cellsOnEdge(2,iEdge)
- ! do k = 1,nVertLevels
- ! if(boundaryEdge(k,iEdge).eq.1) then
- ! v(k,iEdge) = 0.0
- ! if(cell1.gt.0) then
- ! h1 = h(k,cell1)
- ! pv_edge(k,iEdge) = fEdge(iEdge) / h1
- ! h_edge(k,iEdge) = h1
- ! else
- ! h2 = h(k,cell2)
- ! pv_edge(k,iEdge) = fEdge(iEdge) / h2
- ! h_edge(k,iEdge) = h2
- ! endif
- ! endif
- ! enddo
- ! enddo
- ! endif
-
-
- end subroutine sw_compute_solve_diagnostics
-
-
- subroutine sw_enforce_boundary_edge(tend, grid)
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- ! Enforce any boundary conditions on the normal velocity at each edge
- !
- ! Input: grid - grid metadata
- !
- ! Output: tend_u set to zero at boundaryEdge == 1 locations
- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-
-
- implicit none
-
- type (tend_type), intent(inout) :: tend
- type (mesh_type), intent(in) :: grid
-
- integer, dimension(:,:), pointer :: boundaryEdge
- real (kind=RKIND), dimension(:,:), pointer :: tend_u
- integer :: nCells, nEdges, nVertices, nVertLevels
- integer :: iEdge, k
-
- nCells = grid % nCells
- nEdges = grid % nEdges
- nVertices = grid % nVertices
- nVertLevels = grid % nVertLevels
-
- boundaryEdge => grid % boundaryEdge % array
- tend_u => tend % u % array
-
- if(maxval(boundaryEdge).le.0) return
-
- do iEdge = 1,nEdges
- do k = 1,nVertLevels
-
- if(boundaryEdge(k,iEdge).eq.1) then
- tend_u(k,iEdge) = 0.0
- endif
-
- enddo
- enddo
-
- end subroutine sw_enforce_boundary_edge
-
-
-end module sw_time_integration
</font>
</pre>