<p><b>dwj07@fsu.edu</b> 2012-03-09 12:00:23 -0700 (Fri, 09 Mar 2012)</p><p><br>
        -- BRANCH COMMIT --<br>
<br>
        Adding a version of the new shared tracer advection routines to core_ocean. In preperation for a trunk commit.<br>
</p><hr noshade><pre><font color="gray">Modified: branches/ocean_projects/monotonic_advection/src/core_ocean/Makefile
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/Makefile        2012-03-09 05:22:24 UTC (rev 1611)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/Makefile        2012-03-09 19:00:23 UTC (rev 1612)
@@ -36,6 +36,15 @@
            mpas_ocn_vmix_coefs_tanh.o \
            mpas_ocn_restoring.o \
            mpas_ocn_tendency.o \
+           mpas_ocn_tracer_advection.o \
+           mpas_ocn_tracer_advection_std.o \
+           mpas_ocn_tracer_advection_std_hadv.o \
+           mpas_ocn_tracer_advection_std_vadv.o \
+           mpas_ocn_tracer_advection_std_vadv2.o \
+           mpas_ocn_tracer_advection_std_vadv3.o \
+           mpas_ocn_tracer_advection_std_vadv4.o \
+           mpas_ocn_tracer_advection_mono.o \
+           mpas_ocn_tracer_advection_helpers.o \
        mpas_ocn_time_integration.o \
        mpas_ocn_time_integration_rk4.o \
        mpas_ocn_time_integration_split.o \
@@ -120,6 +129,24 @@
 
 mpas_ocn_tracer_hmix_del4.o:
 
+mpas_ocn_tracer_advection.o: mpas_ocn_tracer_advection_std.o mpas_ocn_tracer_advection_mono.o
+
+mpas_ocn_tracer_advection_std.o: mpas_ocn_tracer_advection_std_hadv.o mpas_ocn_tracer_advection_std_vadv.o
+
+mpas_ocn_tracer_advection_std_hadv.o: mpas_ocn_tracer_advection_helpers.o
+
+mpas_ocn_tracer_advection_std_vadv.o: mpas_ocn_tracer_advection_std_vadv2.o mpas_ocn_tracer_advection_std_vadv3.o mpas_ocn_tracer_advection_std_vadv4.o
+
+mpas_ocn_tracer_advection_std_vadv2.o: mpas_ocn_tracer_advection_helpers.o
+
+mpas_ocn_tracer_advection_std_vadv3.o: mpas_ocn_tracer_advection_helpers.o
+
+mpas_ocn_tracer_advection_std_vadv4.o: mpas_ocn_tracer_advection_helpers.o
+
+mpas_ocn_tracer_advection_mono.o: mpas_ocn_tracer_advection_helpers.o
+
+mpas_ocn_tracer_advection_helpers.o:
+
 mpas_ocn_restoring.o:
 
 mpas_ocn_vmix.o: mpas_ocn_vmix_coefs_const.o mpas_ocn_vmix_coefs_rich.o mpas_ocn_vmix_coefs_tanh.o
@@ -170,6 +197,15 @@
                                           mpas_ocn_vmix_coefs_rich.o \
                                           mpas_ocn_vmix_coefs_tanh.o \
                                           mpas_ocn_restoring.o \
+                                          mpas_ocn_tracer_advection.o \
+                                          mpas_ocn_tracer_advection_std.o \
+                                          mpas_ocn_tracer_advection_std_hadv.o \
+                                          mpas_ocn_tracer_advection_std_vadv.o \
+                                          mpas_ocn_tracer_advection_std_vadv2.o \
+                                          mpas_ocn_tracer_advection_std_vadv3.o \
+                                          mpas_ocn_tracer_advection_std_vadv4.o \
+                                          mpas_ocn_tracer_advection_mono.o \
+                                          mpas_ocn_tracer_advection_helpers.o \
                                           mpas_ocn_tendency.o \
                                           mpas_ocn_time_integration.o \
                                           mpas_ocn_time_integration_rk4.o \

Modified: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_mpas_core.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_mpas_core.F        2012-03-09 05:22:24 UTC (rev 1611)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_mpas_core.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -45,7 +45,7 @@
    subroutine mpas_core_init(domain, startTimeStamp)!{{{
 
       use mpas_grid_types
-      use mpas_tracer_advection
+      use mpas_ocn_tracer_advection
 
       implicit none
 
@@ -89,7 +89,7 @@
       call ocn_tendency_init(err_tmp)
       err = ior(err,err_tmp)
 
-      call mpas_tracer_advection_init(err_tmp)
+      call mpas_ocn_tracer_advection_init(err_tmp)
       err = ior(err,err_tmp)
 
       call mpas_timer_init(domain)
@@ -222,7 +222,7 @@
       use mpas_grid_types
       use mpas_rbf_interpolation
       use mpas_vector_reconstruction
-      use mpas_tracer_advection
+      use mpas_ocn_tracer_advection
    
       implicit none
    
@@ -231,7 +231,7 @@
       real (kind=RKIND), intent(in) :: dt
       integer :: i, iEdge, iCell, k
    
-      call mpas_tracer_advection_coefficients(mesh)
+      call mpas_ocn_tracer_advection_coefficients(mesh)
       call ocn_time_average_init(block % state % time_levs(1) % state)
    
       call mpas_timer_start(&quot;diagnostic solve&quot;, .false., initDiagSolveTimer)

Modified: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tendency.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tendency.F        2012-03-09 05:22:24 UTC (rev 1611)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tendency.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -21,7 +21,7 @@
    use mpas_constants
    use mpas_timer
 
-   use mpas_tracer_advection
+   use mpas_ocn_tracer_advection
 
    use ocn_thick_hadv
    use ocn_thick_vadv
@@ -355,7 +355,7 @@
 
       ! Monotonoic Advection, or standard advection
       call mpas_timer_start(&quot;adv&quot;, .false., tracerHadvTimer)
-      call mpas_tracer_advection_tend(tracers, uh, wTop, h, h, dt, grid, tend_h, tend_tr)
+      call mpas_ocn_tracer_advection_tend(tracers, uh, wTop, h, h, dt, grid, tend_h, tend_tr)
       call mpas_timer_stop(&quot;adv&quot;, tracerHadvTimer)
 
       !

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,217 @@
+module mpas_ocn_tracer_advection
+
+   use mpas_kind_types
+   use mpas_grid_types
+   use mpas_configure
+
+   use mpas_ocn_tracer_advection_std
+   use mpas_ocn_tracer_advection_mono
+     
+   implicit none
+   private
+   save
+
+   public :: mpas_ocn_tracer_advection_init,         &amp;
+             mpas_ocn_tracer_advection_coefficients, &amp;
+             mpas_ocn_tracer_advection_tend
+
+   logical :: monotonicOn
+
+   contains
+
+   subroutine mpas_ocn_tracer_advection_coefficients( grid )!{{{
+
+      implicit none
+      type (mesh_type) :: grid
+
+      real (kind=RKIND), dimension(:,:,:), pointer :: deriv_two
+      real (kind=RKIND), dimension(:,:), pointer :: adv_coefs, adv_coefs_3rd
+      integer, dimension(:,:), pointer :: cellsOnCell, cellsOnEdge, advCellsForEdge
+      integer, dimension(:), pointer :: nEdgesOnCell, nAdvCellsForEdge
+
+      integer, dimension(:), pointer :: cell_list, ordered_cell_list
+      integer :: cell1, cell2, iEdge, n, i, j, j_in, iCell
+      logical :: addcell
+
+      deriv_two =&gt; grid % deriv_two % array
+      adv_coefs =&gt; grid % adv_coefs % array
+      adv_coefs_3rd =&gt; grid % adv_coefs_3rd % array
+      cellsOnCell =&gt; grid % cellsOnCell % array
+      cellsOnEdge =&gt; grid % cellsOnEdge % array
+      advCellsForEdge =&gt; grid % advCellsForEdge % array
+      nEdgesOnCell =&gt; grid % nEdgesOnCell % array
+      nAdvCellsForEdge =&gt; grid % nAdvCellsForEdge % array
+
+      allocate(cell_list(grid % maxEdges2 + 2))
+      allocate(ordered_cell_list(grid % maxEdges2 + 2))
+
+      do iEdge = 1, grid % nEdges
+        nAdvCellsForEdge(iEdge) = 0
+        cell1 = cellsOnEdge(1,iEdge)
+        cell2 = cellsOnEdge(2,iEdge)
+        !
+        ! do only if this edge flux is needed to update owned cells
+        !
+        if (cell1 &lt;= grid%nCells .or. cell2 &lt;= grid%nCells) then
+
+          cell_list(1) = cell1
+          cell_list(2) = cell2
+          n = 2 
+
+        !  add cells surrounding cell 1.  n is number of cells currently in list
+          do i = 1, nEdgesOnCell(cell1)
+            if(cellsOnCell(i,cell1) /= cell2) then
+              n = n + 1
+              cell_list(n) = cellsOnCell(i,cell1)
+            end if
+          end do
+
+        !  add cells surrounding cell 2 (brute force approach)
+          do iCell = 1, nEdgesOnCell(cell2)
+            addcell = .true.
+            do i=1,n
+              if(cell_list(i) == cellsOnCell(iCell,cell2)) addcell = .false.
+            end do
+            if(addcell) then
+              n = n+1
+              cell_list(n) = cellsOnCell(iCell,cell2)
+            end if
+          end do
+
+        ! order the list by increasing cell number (brute force approach)
+
+          do i=1,n
+            ordered_cell_list(i) = grid % nCells + 2
+            j_in = 1
+            do j=1,n
+              if(ordered_cell_list(i) &gt; cell_list(j) ) then
+                j_in = j
+                ordered_cell_list(i) = cell_list(j)
+              end if
+            end do
+!            ordered_cell_list(i) = cell_list(j_in)
+            cell_list(j_in) = grid % nCells + 3
+          end do
+
+          nAdvCellsForEdge(iEdge) = n
+          do iCell = 1, nAdvCellsForEdge(iEdge)
+            advCellsForEdge(iCell,iEdge) = ordered_cell_list(iCell)
+          end do
+
+        ! we have the ordered list, now construct coefficients
+
+          adv_coefs(:,iEdge) = 0.
+          adv_coefs_3rd(:,iEdge) = 0.
+        
+        ! pull together third and fourth order contributions to the flux
+        ! first from cell1
+
+          j_in = 0
+          do j=1, n
+            if( ordered_cell_list(j) == cell1 ) j_in = j
+          end do
+          adv_coefs    (j_in,iEdge) = adv_coefs    (j_in,iEdge) + deriv_two(1,1,iEdge)
+          adv_coefs_3rd(j_in,iEdge) = adv_coefs_3rd(j_in,iEdge) + deriv_two(1,1,iEdge)
+
+          do iCell = 1, nEdgesOnCell(cell1)
+            j_in = 0
+            do j=1, n
+              if( ordered_cell_list(j) == cellsOnCell(iCell,cell1) ) j_in = j
+            end do
+            adv_coefs    (j_in,iEdge) = adv_coefs    (j_in,iEdge) + deriv_two(iCell+1,1,iEdge)
+            adv_coefs_3rd(j_in,iEdge) = adv_coefs_3rd(j_in,iEdge) + deriv_two(iCell+1,1,iEdge)
+          end do
+
+        ! pull together third and fourth order contributions to the flux
+        ! now from cell2
+
+          j_in = 0
+          do j=1, n
+            if( ordered_cell_list(j) == cell2 ) j_in = j
+          enddo
+          adv_coefs    (j_in,iEdge) = adv_coefs    (j_in,iEdge) + deriv_two(1,2,iEdge)
+          adv_coefs_3rd(j_in,iEdge) = adv_coefs_3rd(j_in,iEdge) - deriv_two(1,2,iEdge)
+
+          do iCell = 1, nEdgesOnCell(cell2)
+            j_in = 0
+            do j=1, n
+              if( ordered_cell_list(j) == cellsOnCell(iCell,cell2) ) j_in = j
+            enddo
+            adv_coefs    (j_in,iEdge) = adv_coefs    (j_in,iEdge) + deriv_two(iCell+1,2,iEdge)
+            adv_coefs_3rd(j_in,iEdge) = adv_coefs_3rd(j_in,iEdge) - deriv_two(iCell+1,2,iEdge)
+          end do
+
+          do j = 1,n
+            adv_coefs    (j,iEdge) = - (grid % dcEdge % array (iEdge) **2) * adv_coefs    (j,iEdge) / 12.
+            adv_coefs_3rd(j,iEdge) = - (grid % dcEdge % array (iEdge) **2) * adv_coefs_3rd(j,iEdge) / 12.
+          end do
+
+        ! 2nd order centered contribution - place this in the main flux weights
+
+          j_in = 0
+          do j=1, n
+            if( ordered_cell_list(j) == cell1 ) j_in = j
+          enddo
+          adv_coefs(j_in,iEdge) = adv_coefs(j_in,iEdge) + 0.5
+
+          j_in = 0
+          do j=1, n
+            if( ordered_cell_list(j) == cell2 ) j_in = j
+          enddo
+          adv_coefs(j_in,iEdge) = adv_coefs(j_in,iEdge) + 0.5
+
+        !  multiply by edge length - thus the flux is just dt*ru times the results of the vector-vector multiply
+
+          do j=1,n
+            adv_coefs    (j,iEdge) = grid % dvEdge % array(iEdge) * adv_coefs    (j,iEdge)
+            adv_coefs_3rd(j,iEdge) = grid % dvEdge % array(iEdge) * adv_coefs_3rd(j,iEdge)
+          end do
+
+        end if  ! only do for edges of owned-cells
+        
+      end do ! end loop over edges
+
+      deallocate(cell_list)
+      deallocate(ordered_cell_list)
+
+   end subroutine mpas_ocn_tracer_advection_coefficients!}}}
+
+   subroutine mpas_ocn_tracer_advection_tend(tracers, uh, w, h, verticalCellSize, dt, grid, tend_h, tend)!{{{
+
+      real (kind=RKIND), dimension(:,:,:), intent(inout) :: tend
+      real (kind=RKIND), dimension(:,:,:), intent(in) :: tracers
+      real (kind=RKIND), dimension(:,:), intent(in) :: uh, w, h
+      real (kind=RKIND), dimension(:,:), intent(in) :: verticalCellSize !&lt; Input: Distance between vertical interfaces of a cell
+      real (kind=RKIND), intent(in) :: dt
+      type (mesh_type), intent(in) :: grid
+      real (kind=RKIND), dimension(:,:), intent(in) :: tend_h
+
+
+      if(monotonicOn) then
+         call mpas_ocn_tracer_advection_mono_tend(tracers, uh, w, h, verticalCellSize, dt, grid, tend_h, tend)
+      else
+         call mpas_ocn_tracer_advection_std_tend(tracers, uh, w, verticalCellSize, grid, tend)
+      endif
+   end subroutine mpas_ocn_tracer_advection_tend!}}}
+
+   subroutine mpas_ocn_tracer_advection_init(err)!{{{
+
+      integer, intent(inout) :: err
+
+      integer :: err_tmp
+
+      err = 0
+
+      call mpas_ocn_tracer_advection_std_init(err_tmp)
+
+      err = ior(err, err_tmp)
+
+      monotonicOn = .false.
+
+      if(config_monotonic) then
+         monotonicOn = .true.
+      endif
+
+   end subroutine mpas_ocn_tracer_advection_init!}}}
+
+end module mpas_ocn_tracer_advection

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_helpers.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_helpers.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_helpers.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,23 @@
+module mpas_ocn_tracer_advection_helpers
+
+   use mpas_kind_types
+
+   implicit none
+   save
+
+   contains
+
+   real function flux4(q_im2, q_im1, q_i, q_ip1, u)!{{{
+        real (kind=RKIND), intent(in) :: q_im2, q_im1, q_i, q_ip1, u
+        flux4 = u*( 7.*(q_i + q_im1) - (q_ip1 + q_im2) )/12.0
+   end function!}}}
+
+   real function flux3( q_im2, q_im1, q_i, q_ip1, u, coef)!{{{
+        real (kind=RKIND), intent(in) :: q_im2, q_im1, q_i, q_ip1, u, coef
+
+        !dwj 02/21/12 flux3 is different in ocean and atmosphere
+        !flux3 = (u * (7.0 * (q_i + q_im1) - (q_ip1 + q_im2)) + coef * abs(u) * ((q_ip1 - q_im2) - 3.0*(q_i-q_im1)))/12.0
+        flux3 = (u * (7.0 * (q_i + q_im1) - (q_ip1 + q_im2)) - coef * abs(u) * ((q_ip1 - q_im2) - 3.0*(q_i-q_im1)))/12.0
+   end function!}}}
+
+end module mpas_ocn_tracer_advection_helpers

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_mono.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_mono.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_mono.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,323 @@
+module mpas_ocn_tracer_advection_mono
+
+   use mpas_kind_types
+   use mpas_grid_types
+   use mpas_configure
+   use mpas_dmpar
+
+   use mpas_ocn_tracer_advection_helpers
+
+   implicit none
+   private
+   save 
+
+   public :: mpas_ocn_tracer_advection_mono_tend
+
+   contains
+
+   subroutine mpas_ocn_tracer_advection_mono_tend(tracers, uh, w, h, verticalCellSize, dt, grid, tend_h, tend)!{{{
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+   !
+   ! Input: s - current model state
+   !        grid - grid metadata
+   !
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+
+      real (kind=RKIND), dimension(:,:,:), intent(in) :: tracers !&lt; Input: current tracer values
+      real (kind=RKIND), dimension(:,:), intent(in) :: uh !&lt; Input: Thichness weighted velocitiy
+      real (kind=RKIND), dimension(:,:), intent(in) :: w !&lt; Input: Vertical velocitiy
+      real (kind=RKIND), dimension(:,:), intent(in) :: h !&lt; Input: Thickness
+      real (kind=RKIND), dimension(:,:), intent(in) :: verticalCellSize !&lt; Input: Distance between vertical interfaces of a cell
+      real (kind=RKIND), dimension(:,:), intent(in) :: tend_h !&lt; Input: Tendency for thickness field
+      real (kind=RKIND), intent(in) :: dt !&lt; Input: Timestep
+      type (mesh_type), intent(in) :: grid
+      real (kind=RKIND), dimension(:,:,:), intent(inout) :: tend
+
+      integer :: i, iCell, iEdge, k, iTracer, cell1, cell2
+      integer :: nVertLevels, num_tracers, nCells, nEdges, nCellsSolve
+      integer, dimension(:), pointer :: nAdvCellsForEdge, maxLevelCell, maxLevelEdgeTop, nEdgesOnCell
+      integer, dimension(:,:), pointer :: cellsOnEdge, cellsOnCell, advCellsForEdge
+
+      real (kind=RKIND) :: coef_3rd_order, flux_upwind, tracer_min_new, tracer_max_new, tracer_upwind_new, scale_factor
+      real (kind=RKIND) :: flux, tracer_weight, invDvEdge, invAreaCell1, invAreaCell2
+      real (kind=RKIND) :: cur_max, cur_min, new_max, new_min
+      real (kind=RKIND) :: verticalWeightK, verticalWeightKm1
+      real (kind=RKIND), dimension(:), pointer :: dvEdge, areaCell
+      real (kind=RKIND), dimension(:,:), pointer :: adv_coefs, adv_coefs_3rd
+      real (kind=RKIND), dimension(:,:), pointer :: tracer_cur, tracer_new, upwind_tendency, inv_h_new, tracer_max, tracer_min
+      real (kind=RKIND), dimension(:,:), pointer :: flux_incoming, flux_outgoing, high_order_horiz_flux, high_order_vert_flux
+
+      real (kind=RKIND), parameter :: eps = 1.e-10
+
+      coef_3rd_order = config_coef_3rd_order
+
+      ! Initialize pointers
+      dvEdge      =&gt; grid % dvEdge % array
+      cellsOnEdge =&gt; grid % cellsOnEdge % array
+      cellsOnCell =&gt; grid % cellsOnCell % array
+      areaCell    =&gt; grid % areaCell % array
+
+      nEdgesOnCell =&gt; grid % nEdgesOnCell % array
+      nAdvCellsForEdge =&gt; grid % nAdvCellsForEdge % array
+      advCellsForEdge =&gt; grid % advCellsForEdge % array
+      adv_coefs =&gt; grid % adv_coefs % array
+      adv_coefs_3rd =&gt; grid % adv_coefs_3rd % array
+      maxLevelCell =&gt; grid % maxLevelCell % array
+      maxLevelEdgeTop =&gt; grid % maxLevelEdgeTop % array
+
+      nCells = grid % nCells
+      nCellsSolve = grid % nCellsSolve
+      nEdges = grid % nEdges
+      nVertLevels = grid % nVertLevels
+      num_tracers = size(tracers,dim=1)
+
+      ! allocate nCells arrays
+
+      allocate(tracer_new(nVertLevels, nCells))
+      allocate(tracer_cur(nVertLevels, nCells))
+      allocate(upwind_tendency(nVertLevels, nCells))
+      allocate(inv_h_new(nVertLevels, nCells))
+      allocate(tracer_max(nVertLevels, nCells))
+      allocate(tracer_min(nVertLevels, nCells))
+      allocate(flux_incoming(nVertLevels, nCells))
+      allocate(flux_outgoing(nVertLevels, nCells))
+
+      ! allocate nEdges arrays
+      allocate(high_order_horiz_flux(nVertLevels, nEdges))
+
+      ! allocate nVertLevels+1 and nCells arrays
+      allocate(high_order_vert_flux(nVertLevels+1, nCells))
+
+      do iCell = 1, nCells
+        do k=1, maxLevelCell(iCell)
+          inv_h_new(k, iCell) = 1.0 / (h(k, iCell) + dt * tend_h(k, iCell))
+        end do
+      end do
+
+      ! Loop over tracers. One tracer is advected at a time. It is copied into a temporary array in order to improve locality
+      do iTracer = 1, num_tracers
+        ! Initialize variables for use in this iTracer iteration
+        do iCell = 1, nCells
+          do k=1, maxLevelCell(iCell)
+            tracer_cur(k,iCell) = tracers(iTracer,k,iCell)
+            upwind_tendency(k, iCell) = 0.0
+
+            !tracer_new is supposed to be the &quot;new&quot; tracer state. This allows bounds checks.
+            if (config_check_monotonicity) then
+              tracer_new(k,iCell) = 0.0
+            end if
+          end do ! k loop
+        end do ! iCell loop
+
+        high_order_vert_flux = 0.0
+        high_order_horiz_flux = 0.0
+
+        !  Compute the high order vertical flux. Also determine bounds on tracer_cur. 
+        do iCell = 1, nCells
+          k = 1
+          tracer_max(k,iCell) = max(tracer_cur(k,iCell),tracer_cur(k+1,iCell))
+          tracer_min(k,iCell) = min(tracer_cur(k,iCell),tracer_cur(k+1,iCell))
+
+          k = 2
+          verticalWeightK = verticalCellSize(k-1, iCell) / (verticalCellSize(k, iCell) + verticalCellSize(k-1, iCell))
+          verticalWeightKm1 = verticalCellSize(k, iCell) / (verticalCellSize(k, iCell) + verticalCellSize(k-1, iCell))
+          high_order_vert_flux(k,iCell) = w(k,iCell)*(verticalWeightK*tracer_cur(k,iCell)+verticalWeightKm1*tracer_cur(k-1,iCell))
+          tracer_max(k,iCell) = max(tracer_cur(k-1,iCell),tracer_cur(k,iCell),tracer_cur(k+1,iCell))
+          tracer_min(k,iCell) = min(tracer_cur(k-1,iCell),tracer_cur(k,iCell),tracer_cur(k+1,iCell))
+             
+          do k=3,maxLevelCell(iCell)-1
+             high_order_vert_flux(k,iCell) = flux3( tracer_cur(k-2,iCell),tracer_cur(k-1,iCell),  &amp;
+                                    tracer_cur(k  ,iCell),tracer_cur(k+1,iCell),  &amp;
+                                    w(k,iCell), coef_3rd_order )
+             tracer_max(k,iCell) = max(tracer_cur(k-1,iCell),tracer_cur(k,iCell),tracer_cur(k+1,iCell))
+             tracer_min(k,iCell) = min(tracer_cur(k-1,iCell),tracer_cur(k,iCell),tracer_cur(k+1,iCell))
+          end do 

+          k = maxLevelCell(iCell)
+          verticalWeightK = verticalCellSize(k-1, iCell) / (verticalCellSize(k, iCell) + verticalCellSize(k-1, iCell))
+          verticalWeightKm1 = verticalCellSize(k, iCell) / (verticalCellSize(k, iCell) + verticalCellSize(k-1, iCell))
+          high_order_vert_flux(k,iCell) = w(k,iCell)*(verticalWeightK*tracer_cur(k,iCell)+verticalWeightKm1*tracer_cur(k-1,iCell))
+          tracer_max(k,iCell) = max(tracer_cur(k,iCell),tracer_cur(k-1,iCell))
+          tracer_min(k,iCell) = min(tracer_cur(k,iCell),tracer_cur(k-1,iCell))
+
+          ! pull tracer_min and tracer_max from the (horizontal) surrounding cells
+          do i = 1, nEdgesOnCell(iCell)
+            do k=1, maxLevelCell(cellsOnCell(i, iCell))
+              tracer_max(k,iCell) = max(tracer_max(k,iCell),tracer_cur(k, cellsOnCell(i,iCell)))
+              tracer_min(k,iCell) = min(tracer_min(k,iCell),tracer_cur(k, cellsOnCell(i,iCell)))
+            end do ! k loop
+          end do ! i loop over nEdgesOnCell
+        end do ! iCell Loop
+
+        !  Compute the high order horizontal flux
+        do iEdge = 1, nEdges
+          do i = 1, nAdvCellsForEdge(iEdge)
+            iCell = advCellsForEdge(i,iEdge)
+            do k = 1, maxLevelCell(iCell)
+              tracer_weight = uh(k,iEdge)*(adv_coefs(i,iEdge) + coef_3rd_order*sign(1.,uh(k,iEdge))*adv_coefs_3rd(i,iEdge))
+              high_order_horiz_flux(k,iEdge) = high_order_horiz_flux(k,iEdge) + tracer_weight* tracer_cur(k,iCell)
+            end do ! k loop
+          end do ! i loop over nAdvCellsForEdge
+        end do ! iEdge loop
+
+        !  low order upwind vertical flux (monotonic and diffused)
+        !  Remove low order flux from the high order flux.
+        !  Store left over high order flux in high_order_vert_flux array.
+        !  Upwind fluxes are accumulated in upwind_tendency
+        do iCell = 1, nCells
+          do k = 2, maxLevelCell(iCell)
+            ! dwj 02/03/12 Ocean and Atmosphere are different in vertical
+!           flux_upwind = max(0.,w(k,iCell))*tracer_cur(k-1,iCell) + min(0.,w(k,iCell))*tracer_cur(k,iCell)
+            flux_upwind = min(0.,w(k,iCell))*tracer_cur(k-1,iCell) + max(0.,w(k,iCell))*tracer_cur(k,iCell)
+            upwind_tendency(k-1,iCell) = upwind_tendency(k-1,iCell) + flux_upwind
+            upwind_tendency(k  ,iCell) = upwind_tendency(k  ,iCell) - flux_upwind
+            high_order_vert_flux(k,iCell) = high_order_vert_flux(k,iCell) - flux_upwind
+          end do ! k loop
+
+          ! flux_incoming contains the total remaining high order flux into iCell
+          !          it is positive.
+          ! flux_outgoing contains the total remaining high order flux out of iCell
+          !           it is negative
+          do k = 1, maxLevelCell(iCell)
+            ! dwj 02/03/12 Ocean and Atmosphere are different in vertical
+!           flux_incoming (k,iCell) = -(min(0.,high_order_vert_flux(k+1,iCell))-max(0.,high_order_vert_flux(k,iCell)))
+!           flux_outgoing(k,iCell) = -(max(0.,high_order_vert_flux(k+1,iCell))-min(0.,high_order_vert_flux(k,iCell)))
+
+            flux_incoming (k, iCell) = max(0.0, high_order_vert_flux(k+1, iCell)) - min(0.0, high_order_vert_flux(k, iCell))
+            flux_outgoing(k, iCell) = min(0.0, high_order_vert_flux(k+1, iCell)) - max(0.0, high_order_vert_flux(k, iCell))
+          end do ! k Loop
+        end do ! iCell Loop
+
+        !  low order upwind horizontal flux (monotinc and diffused)
+        !  Remove low order flux from the high order flux
+        !  Store left over high order flux in high_order_horiz_flux array
+        !  Upwind fluxes are accumulated in upwind_tendency
+        do iEdge = 1, nEdges
+          cell1 = cellsOnEdge(1,iEdge)
+          cell2 = cellsOnEdge(2,iEdge)
+
+          invAreaCell1 = 1.0 / areaCell(cell1)
+          invAreaCell2 = 1.0 / areaCell(cell2)
+
+          do k = 1, maxLevelEdgeTop(iEdge)
+            flux_upwind = dvEdge(iEdge) * (max(0.,uh(k,iEdge))*tracer_cur(k,cell1) + min(0.,uh(k,iEdge))*tracer_cur(k,cell2))
+            high_order_horiz_flux(k,iEdge) = high_order_horiz_flux(k,iEdge) - flux_upwind
+
+            upwind_tendency(k,cell1) = upwind_tendency(k,cell1) - flux_upwind * invAreaCell1
+            upwind_tendency(k,cell2) = upwind_tendency(k,cell2) + flux_upwind * invAreaCell2
+
+            ! Accumulate remaining high order fluxes
+            flux_outgoing(k,cell1) = flux_outgoing(k,cell1) - max(0.,high_order_horiz_flux(k,iEdge)) * invAreaCell1
+            flux_incoming (k,cell1) = flux_incoming (k,cell1) - min(0.,high_order_horiz_flux(k,iEdge)) * invAreaCell1
+            flux_outgoing(k,cell2) = flux_outgoing(k,cell2) + min(0.,high_order_horiz_flux(k,iEdge)) * invAreaCell2
+            flux_incoming (k,cell2) = flux_incoming (k,cell2) + max(0.,high_order_horiz_flux(k,iEdge)) * invAreaCell2
+          end do ! k loop
+        end do ! iEdge loop
+
+        ! Build the factors for the FCT
+        ! Computed using the bounds that were computed previously, and the bounds on the newly updated value
+        ! Factors are placed in the flux_incoming and flux_outgoing arrays
+        do iCell = 1, nCells
+          do k = 1, maxLevelCell(iCell)
+            tracer_min_new = (tracer_cur(k,iCell)*h(k,iCell) + dt*(upwind_tendency(k,iCell)+flux_outgoing(k,iCell))) * inv_h_new(k,iCell)
+            tracer_max_new = (tracer_cur(k,iCell)*h(k,iCell) + dt*(upwind_tendency(k,iCell)+flux_incoming(k,iCell))) * inv_h_new(k,iCell)
+            tracer_upwind_new = (tracer_cur(k,iCell)*h(k,iCell) + dt*upwind_tendency(k,iCell)) * inv_h_new(k,iCell)
+           
+            scale_factor = (tracer_max(k,iCell)-tracer_upwind_new)/(tracer_max_new-tracer_upwind_new+eps)
+            flux_incoming(k,iCell) = min( 1.0, max( 0.0, scale_factor) )
+
+            scale_factor = (tracer_upwind_new-tracer_min(k,iCell))/(tracer_upwind_new-tracer_min_new+eps)
+            flux_outgoing(k,iCell) = min( 1.0, max( 0.0, scale_factor) )
+          end do ! k loop
+        end do ! iCell loop
+
+        !  rescale the high order horizontal fluxes
+        do iEdge = 1, nEdges
+          cell1 = cellsOnEdge(1,iEdge)
+          cell2 = cellsOnEdge(2,iEdge)
+          do k = 1, maxLevelEdgeTop(iEdge)
+            flux = high_order_horiz_flux(k,iEdge)
+            flux = max(0.,flux) * min(flux_outgoing(k,cell1), flux_incoming(k,cell2)) &amp;
+                 + min(0.,flux) * min(flux_incoming(k,cell1), flux_outgoing(k,cell2))
+            high_order_horiz_flux(k,iEdge) = flux
+          end do ! k loop
+        end do ! iEdge loop
+
+        ! rescale the high order vertical flux
+        do iCell = 1, nCellsSolve
+          do k = 2, maxLevelCell(iCell)
+            flux =  high_order_vert_flux(k,iCell)
+            ! dwj 02/03/12 Ocean and Atmosphere are different in vertical.
+!           flux = max(0.,flux) * min(flux_outgoing(k-1,iCell), flux_incoming(k  ,iCell)) &amp;
+!                + min(0.,flux) * min(flux_outgoing(k  ,iCell), flux_incoming(k-1,iCell))
+            flux = max(0.,flux) * min(flux_outgoing(k  ,iCell), flux_incoming(k-1,iCell)) &amp;
+                 + min(0.,flux) * min(flux_outgoing(k-1,iCell), flux_incoming(k  ,iCell))
+            high_order_vert_flux(k,iCell) = flux
+          end do ! k loop
+        end do ! iCell loop
+
+        ! Accumulate the scaled high order horizontal tendencies
+        do iEdge = 1, nEdges
+          cell1 = cellsOnEdge(1,iEdge)
+          cell2 = cellsOnEdge(2,iEdge)
+
+          invAreaCell1 = 1.0 / areaCell(cell1)
+          invAreaCell2 = 1.0 / areaCell(cell2)
+          do k=1,maxLevelEdgeTop(iEdge)
+            tend(iTracer, k, cell1) = tend(iTracer, k, cell1) - high_order_horiz_flux(k, iEdge) * invAreaCell1
+            tend(iTracer, k, cell2) = tend(iTracer, k, cell2) + high_order_horiz_flux(k, iEdge) * invAreaCell2
+
+            if (config_check_monotonicity) then
+              !tracer_new holds a tendency for now.
+              tracer_new(k, cell1) = tracer_new(k, cell1) - high_order_horiz_flux(k, iEdge) * invAreaCell1
+              tracer_new(k, cell2) = tracer_new(k, cell2) + high_order_horiz_flux(k, iEdge) * invAreaCell2
+            end if
+          end do ! k loop
+        end do ! iEdge loop
+
+        ! Accumulate the scaled high order vertical tendencies, and the upwind tendencies
+        do iCell = 1, nCellsSolve
+          do k = 1,maxLevelCell(iCell)
+            tend(iTracer, k, iCell) = tend(iTracer, k, iCell) + (high_order_vert_flux(k+1, iCell) - high_order_vert_flux(k, iCell)) + upwind_tendency(k,iCell)
+
+            if (config_check_monotonicity) then
+              !tracer_new holds a tendency for now. Only for a check on monotonicity
+              tracer_new(k, iCell) = tracer_new(k, iCell) + (high_order_vert_flux(k+1, iCell) - high_order_vert_flux(k, iCell)) + upwind_tendency(k,iCell)
+
+              !tracer_new is now the new state of the tracer. Only for a check on monotonicity
+              tracer_new(k, iCell) = (tracer_cur(k, iCell)*h(k, iCell) + dt * tracer_new(k, iCell)) * inv_h_new(k, iCell)
+            end if
+          end do ! k loop
+        end do ! iCell loop
+
+        if (config_check_monotonicity) then
+          !build min and max bounds on old and new tracer for check on monotonicity.
+          cur_min = minval(tracer_cur(:,1:nCellsSolve))
+          cur_max = maxval(tracer_cur(:,1:nCellsSolve))
+          new_min = minval(tracer_new(:,1:nCellsSolve))
+          new_max = maxval(tracer_new(:,1:nCellsSolve))
+
+          !check monotonicity
+          if(new_min &lt; cur_min-eps) then
+              write(*,*) 'Minimum out of bounds on tracer ', iTracer, cur_min, new_min
+          end if
+
+          if(new_max &gt; cur_max+eps) then
+              write(*,*) 'Maximum out of bounds on tracer ', iTracer, cur_max, new_max
+          end if
+        end if
+      end do ! iTracer loop
+
+      deallocate(tracer_new)
+      deallocate(tracer_cur)
+      deallocate(upwind_tendency)
+      deallocate(inv_h_new)
+      deallocate(tracer_max)
+      deallocate(tracer_min)
+      deallocate(flux_incoming)
+      deallocate(flux_outgoing)
+      deallocate(high_order_horiz_flux)
+      deallocate(high_order_vert_flux)
+   end subroutine mpas_ocn_tracer_advection_mono_tend!}}}
+
+end module mpas_ocn_tracer_advection_mono

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,59 @@
+module mpas_ocn_tracer_advection_std
+
+   use mpas_kind_types
+   use mpas_grid_types
+   use mpas_configure
+   use mpas_dmpar
+   use mpas_timer
+
+   use mpas_ocn_tracer_advection_std_hadv
+   use mpas_ocn_tracer_advection_std_vadv
+
+   implicit none
+   private
+   save
+
+   public :: mpas_ocn_tracer_advection_std_tend, &amp;
+             mpas_ocn_tracer_advection_std_init
+
+   contains
+
+   subroutine mpas_ocn_tracer_advection_std_tend(tracers, uh, w, verticalCellSize, grid, tend)!{{{
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+   !
+   ! Input: s - current model state
+   !        grid - grid metadata
+   !
+   ! Output: tend - computed scalar tendencies
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+
+      real (kind=RKIND), dimension(:,:,:), intent(inout) :: tend
+      real (kind=RKIND), dimension(:,:,:), intent(in) :: tracers
+      real (kind=RKIND), dimension(:,:), intent(in) :: uh, w
+      real (kind=RKIND), dimension(:,:), intent(in) :: verticalCellSize !&lt; Input: Distance between vertical interfaces of a cell
+      type (mesh_type), intent(in) :: grid
+
+      call mpas_timer_start(&quot;tracer-hadv&quot;, .false.)
+      call mpas_ocn_tracer_advection_std_hadv_tend(tracers, uh, grid, tend)
+      call mpas_timer_stop(&quot;tracer-hadv&quot;)
+      call mpas_timer_start(&quot;tracer-vadv&quot;, .false.)
+      call mpas_ocn_tracer_advection_std_vadv_tend(tracers, w, verticalCellSize, grid, tend)
+      call mpas_timer_stop(&quot;tracer-vadv&quot;)
+
+   end subroutine mpas_ocn_tracer_advection_std_tend!}}}
+
+   subroutine mpas_ocn_tracer_advection_std_init(err)!{{{
+      integer, intent(inout) :: err
+
+      integer :: err_tmp
+
+      err = 0
+
+      call mpas_ocn_tracer_advection_std_hadv_init(err_tmp)
+      err = ior(err, err_tmp)
+      call mpas_ocn_tracer_advection_std_vadv_init(err_tmp)
+      err = ior(err, err_tmp)
+
+   end subroutine mpas_ocn_tracer_advection_std_init!}}}
+
+end module mpas_ocn_tracer_advection_std

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_hadv.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_hadv.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_hadv.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,105 @@
+module mpas_ocn_tracer_advection_std_hadv
+
+   use mpas_kind_types
+   use mpas_grid_types
+   use mpas_configure
+   use mpas_dmpar
+
+   use mpas_ocn_tracer_advection_helpers
+
+   implicit none
+   private
+   save
+
+   public :: mpas_ocn_tracer_advection_std_hadv_tend, &amp;
+             mpas_ocn_tracer_advection_std_hadv_init
+
+   real (kind=RKIND) :: coef_3rd_order
+
+   logical :: hadvOn
+
+   contains
+
+   subroutine mpas_ocn_tracer_advection_std_hadv_tend(tracers, uh, grid, tend)!{{{
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+   !
+   ! Input: s - current model state
+   !        grid - grid metadata
+   !
+   ! Output: tend - computed tracer tendencies
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+
+      real (kind=RKIND), dimension(:,:,:), intent(inout) :: tend
+      real (kind=RKIND), dimension(:,:,:), intent(in) :: tracers
+      real (kind=RKIND), dimension(:,:), intent(in) :: uh
+      type (mesh_type), intent(in) :: grid
+
+      integer :: i, iCell, iEdge, k, iTracer, cell1, cell2
+      real (kind=RKIND) :: flux, tracer_weight
+
+      real (kind=RKIND), dimension(:), pointer :: areaCell
+      integer, dimension(:,:), pointer :: cellsOnEdge
+
+      integer, dimension(:,:), pointer :: advCellsForEdge
+      integer, dimension(:), pointer :: nAdvCellsForEdge
+      real (kind=RKIND), dimension(:,:), pointer :: adv_coefs, adv_coefs_3rd
+!     real (kind=RKIND), dimension( s_old % num_tracers, grid % nVertLevels ) :: flux_arr
+      real (kind=RKIND), dimension(:,:), allocatable :: flux_arr
+      integer :: nVertLevels, num_tracers
+
+      if (.not. hadvOn) return
+
+      cellsOnEdge =&gt; grid % cellsOnEdge % array
+      areaCell    =&gt; grid % areaCell % array
+
+      nAdvCellsForEdge =&gt; grid % nAdvCellsForEdge % array
+      advCellsForEdge =&gt; grid % advCellsForEdge % array
+      adv_coefs =&gt; grid % adv_coefs % array
+      adv_coefs_3rd =&gt; grid % adv_coefs_3rd % array
+
+      nVertLevels = grid % nVertLevels
+      num_tracers = size(tracers, dim=1)
+
+      allocate(flux_arr(num_tracers, grid % nVertLevels))
+
+      !  horizontal flux divergence, accumulate in tracer_tend
+
+      do iEdge=1,grid%nEdges
+         cell1 = cellsOnEdge(1,iEdge)
+         cell2 = cellsOnEdge(2,iEdge)
+         if (cell1 &lt;= grid%nCellsSolve .or. cell2 &lt;= grid%nCellsSolve) then  ! only for owned cells
+            flux_arr(:,:) = 0.
+            do i=1,nAdvCellsForEdge(iEdge)
+              iCell = advCellsForEdge(i,iEdge)
+              do k=1,grid % nVertLevels
+                tracer_weight = adv_coefs(i,iEdge) + coef_3rd_order*sign(1.0, uh(k,iEdge))*adv_coefs_3rd(i,iEdge)
+                do iTracer=1,num_tracers
+                  flux_arr(iTracer,k) = flux_arr(iTracer,k) + tracer_weight* tracers(iTracer,k,iCell)
+                end do
+              end do
+            end do
+
+            do k=1,grid % nVertLevels
+               do iTracer=1,num_tracers
+                  tend(iTracer,k,cell1) = tend(iTracer,k,cell1) - uh(k,iEdge)*flux_arr(iTracer,k)/areaCell(cell1)
+                  tend(iTracer,k,cell2) = tend(iTracer,k,cell2) + uh(k,iEdge)*flux_arr(iTracer,k)/areaCell(cell2)
+               end do
+            end do
+         end if
+       end do
+
+       deallocate(flux_arr)
+
+   end subroutine mpas_ocn_tracer_advection_std_hadv_tend!}}}
+
+   subroutine mpas_ocn_tracer_advection_std_hadv_init(err)!{{{
+      integer, intent(inout) :: err
+
+      err = 0
+
+      hadvOn =.true.
+
+      coef_3rd_order = config_coef_3rd_order
+   end subroutine mpas_ocn_tracer_advection_std_hadv_init!}}}
+
+end module mpas_ocn_tracer_advection_std_hadv

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,65 @@
+module mpas_ocn_tracer_advection_std_vadv
+
+   use mpas_kind_types
+   use mpas_grid_types
+   use mpas_configure
+   use mpas_dmpar
+
+   use mpas_ocn_tracer_advection_std_vadv2
+   use mpas_ocn_tracer_advection_std_vadv3
+   use mpas_ocn_tracer_advection_std_vadv4
+
+   implicit none
+   private
+   save
+
+   public :: mpas_ocn_tracer_advection_std_vadv_tend, &amp;
+             mpas_ocn_tracer_advection_std_vadv_init
+
+   logical :: order2, order3, order4
+
+   contains
+
+   subroutine mpas_ocn_tracer_advection_std_vadv_tend(tracers, w, verticalCellSize, grid, tend)!{{{
+
+      real (kind=RKIND), dimension(:,:,:), intent(inout) :: tend
+      real (kind=RKIND), dimension(:,:,:), intent(in) :: tracers
+      real (kind=RKIND), dimension(:,:), intent(in) :: w, verticalCellSize
+      type (mesh_type), intent(in) :: grid
+      real (kind=RKIND) :: dt
+
+      if(order2) then
+        call mpas_ocn_tracer_advection_std_vadv2_tend(tracers, w, verticalCellSize, grid, tend) 
+      else if(order3) then
+        call mpas_ocn_tracer_advection_std_vadv3_tend(tracers, w, verticalCellSize, grid, tend) 
+      else if(order4) then
+        call mpas_ocn_tracer_advection_std_vadv4_tend(tracers, w, verticalCellSize, grid, tend) 
+      endif
+
+   end subroutine mpas_ocn_tracer_advection_std_vadv_tend!}}}
+
+   subroutine mpas_ocn_tracer_advection_std_vadv_init(err)!{{{
+     integer, intent(inout) :: err
+
+     err = 0
+
+     order2 = .false.
+     order3 = .false.
+     order4 = .false.
+
+     if (config_tracer_vadv_order == 2) then
+         order2 = .true.
+     else if (config_tracer_vadv_order == 3) then
+         order3 = .true.
+     else if (config_tracer_vadv_order == 4) then
+         order4 = .true.
+     else
+         print *, 'invalid value for config_tracer_vadv_order'
+         print *, 'options are 2, 3, or 4'
+         err = 1
+     endif
+        
+   end subroutine mpas_ocn_tracer_advection_std_vadv_init!}}}
+
+end module mpas_ocn_tracer_advection_std_vadv
+

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv2.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv2.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv2.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,80 @@
+module mpas_ocn_tracer_advection_std_vadv2
+
+   use mpas_kind_types
+   use mpas_grid_types
+   use mpas_configure
+   use mpas_dmpar
+
+   use mpas_ocn_tracer_advection_helpers
+
+   implicit none
+   private
+   save
+
+   public :: mpas_ocn_tracer_advection_std_vadv2_tend
+
+   contains
+
+   subroutine mpas_ocn_tracer_advection_std_vadv2_tend(tracers, w, verticalCellSize, grid, tend)!{{{
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+   !
+   ! Input: s - current model state
+   !        grid - grid metadata
+   !
+   ! Output: tend - computed tracer tendencies
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+
+      real (kind=RKIND), dimension(:,:,:), intent(inout) :: tend
+      real (kind=RKIND), dimension(:,:,:), intent(in) :: tracers
+      real (kind=RKIND), dimension(:,:), intent(in) :: w, verticalCellSize
+      type (mesh_type), intent(in) :: grid
+
+      integer :: i, iCell, iEdge, k, iTracer, cell1, cell2
+      real (kind=RKIND) :: flux, tracer_edge, tracer_weight
+      real (kind=RKIND) :: tracer_weight_cell1, tracer_weight_cell2
+
+
+      real (kind=RKIND), dimension(:,:), allocatable :: vert_flux
+      real (kind=RKIND) :: weightK, weightKm1
+      integer :: nVertLevels, num_tracers
+      integer, dimension(:), pointer :: maxLevelCell
+
+      integer, parameter :: hadv_opt = 2
+
+      nVertLevels = grid % nVertLevels
+      num_tracers = size(tracers, dim=1)
+      maxLevelCell =&gt; grid % maxLevelCell % array
+
+      allocate(vert_flux(num_tracers, nVertLevels+1))
+
+      !
+      !  vertical flux divergence
+      !
+
+      ! zero fluxes at top and bottom
+
+      vert_flux(:,1) = 0.
+
+      do iCell=1,grid % nCellsSolve
+        do k = 2, maxLevelCell(iCell)
+           do iTracer=1,num_tracers
+             weightK = verticalCellSize(k-1, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+             weightKm1 = verticalCellSize(k, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+             vert_flux(iTracer,k) = w(k,iCell)*(weightK*tracers(iTracer,k,iCell)+weightKm1*tracers(iTracer,k-1,iCell))
+           end do
+        end do
+
+        vert_flux(:,maxLevelCell(iCell)+1) = 0
+
+        do k=1,maxLevelCell(iCell)
+           do iTracer=1,num_tracers
+             tend(iTracer, k, iCell) = tend(iTracer, k, iCell) + ( vert_flux(iTracer, k+1) - vert_flux(iTracer, k))
+           end do
+        end do
+      end do
+
+      deallocate(vert_flux)
+      
+   end subroutine mpas_ocn_tracer_advection_std_vadv2_tend!}}}
+
+end module mpas_ocn_tracer_advection_std_vadv2

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv3.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv3.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv3.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,92 @@
+module mpas_ocn_tracer_advection_std_vadv3
+
+   use mpas_kind_types
+   use mpas_grid_types
+   use mpas_configure
+   use mpas_dmpar
+
+   use mpas_ocn_tracer_advection_helpers
+
+   implicit none
+   private
+   save
+
+   public :: mpas_ocn_tracer_advection_std_vadv3_tend
+
+   real (kind=RKIND) :: coef_3rd_order
+
+   contains
+
+   subroutine mpas_ocn_tracer_advection_std_vadv3_tend(tracers, w, verticalCellSize, grid, tend)!{{{
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+   !
+   ! Input: s - current model state
+   !        grid - grid metadata
+   !
+   ! Output: tend - computed tracer tendencies
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+
+      real (kind=RKIND), dimension(:,:,:), intent(inout) :: tend
+      real (kind=RKIND), dimension(:,:,:), intent(in) :: tracers
+      real (kind=RKIND), dimension(:,:), intent(in) :: w, verticalCellSize
+      type (mesh_type), intent(in) :: grid
+      real (kind=RKIND) :: dt
+
+      integer :: i, iCell, iEdge, k, iTracer, cell1, cell2
+
+      real (kind=RKIND), dimension(:,:), allocatable :: vert_flux
+      real (kind=RKIND) :: weightK, weightKm1
+      integer :: nVertLevels, num_tracers
+      integer, dimension(:), pointer :: maxLevelCell
+
+      integer, parameter :: hadv_opt = 2
+
+      coef_3rd_order = config_coef_3rd_order
+
+      nVertLevels = grid % nVertLevels
+      num_tracers = size(tracers, dim=1)
+      maxLevelCell =&gt; grid % maxLevelCell % array
+
+      allocate(vert_flux(num_tracers, nVertLevels+1))
+
+      vert_flux(:,1) = 0.
+
+      do iCell=1,grid % nCellsSolve
+
+        k = 2
+        do iTracer=1,num_tracers
+          weightK = verticalCellSize(k-1, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+          weightKm1 = verticalCellSize(k, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+          vert_flux(iTracer,k) = w(k,iCell)*(weightK*tracers(iTracer,k,iCell)+weightKm1*tracers(iTracer,k-1,iCell))
+        enddo
+        
+        do k=3,maxLevelCell(iCell)-1
+          do iTracer=1,num_tracers
+            vert_flux(iTracer,k) = flux3( tracers(iTracer,k-2,iCell),tracers(iTracer,k-1,iCell),  &amp;
+                                     tracers(iTracer,k  ,iCell),tracers(iTracer,k+1,iCell),  &amp;
+                                     w(k,iCell), coef_3rd_order )
+          end do
+        end do
+
+        k = maxLevelCell(iCell)
+
+        do iTracer=1,num_tracers
+          weightK = verticalCellSize(k-1, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+          weightKm1 = verticalCellSize(k, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+          vert_flux(iTracer,k) = w(k,iCell)*(weightK*tracers(iTracer,k,iCell)+weightKm1*tracers(iTracer,k-1,iCell))
+        enddo
+
+        vert_Flux(:, maxLevelCell(iCell)+1) = 0.0
+
+        do k=1,maxLevelCell(iCell)
+           do iTracer=1,num_tracers
+             tend(iTracer, k, iCell) = tend(iTracer, k, iCell) + (vert_flux(iTracer, k+1) - vert_flux(iTracer, k))
+           end do
+        end do
+      end do
+
+      deallocate(vert_flux)
+
+   end subroutine mpas_ocn_tracer_advection_std_vadv3_tend!}}}
+
+end module mpas_ocn_tracer_advection_std_vadv3

Added: branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv4.F
===================================================================
--- branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv4.F                                (rev 0)
+++ branches/ocean_projects/monotonic_advection/src/core_ocean/mpas_ocn_tracer_advection_std_vadv4.F        2012-03-09 19:00:23 UTC (rev 1612)
@@ -0,0 +1,89 @@
+module mpas_ocn_tracer_advection_std_vadv4
+
+   use mpas_kind_types
+   use mpas_grid_types
+   use mpas_configure
+   use mpas_dmpar
+
+   use mpas_ocn_tracer_advection_helpers
+
+   implicit none
+   private
+   save
+
+   public :: mpas_ocn_tracer_advection_std_vadv4_tend
+
+   contains
+
+   subroutine mpas_ocn_tracer_advection_std_vadv4_tend(tracers, w, verticalCellSize, grid, tend)!{{{
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+   !
+   ! Input: s - current model state
+   !        grid - grid metadata
+   !
+   ! Output: tend - computed tracer tendencies
+   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 
+
+      real (kind=RKIND), dimension(:,:,:), intent(inout) :: tend
+      real (kind=RKIND), dimension(:,:,:), intent(in) :: tracers
+      real (kind=RKIND), dimension(:,:), intent(in) :: w, verticalCellSize
+      type (mesh_type), intent(in) :: grid
+      real (kind=RKIND) :: dt
+
+      integer :: i, iCell, iEdge, k, iTracer, cell1, cell2
+
+      real (kind=RKIND), dimension(:,:), allocatable :: vert_flux
+      real (kind=RKIND) :: weightK, weightKm1
+      integer :: nVertLevels, num_tracers
+      integer, dimension(:), pointer :: maxLevelCell
+
+      nVertLevels = grid % nVertLevels
+      num_tracers = size(tracers, dim=1)
+      maxLevelCell =&gt; grid % maxLevelCell % array
+
+      allocate(vert_flux(num_tracers, nVertLevels+1))
+
+      !  vertical flux divergence
+      !
+
+      ! zero fluxes at top and bottom
+
+      vert_flux(:,1) = 0.
+
+      do iCell=1,grid % nCellsSolve
+
+        k = 2
+        do iTracer=1,num_tracers
+          weightK = verticalCellSize(k-1, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+          weightKm1 = verticalCellSize(k, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+          vert_flux(iTracer,k) = w(k,iCell)*(weightK*tracers(iTracer,k,iCell)+weightKm1*tracers(iTracer,k-1,iCell))
+        enddo
+        do k=3,nVertLevels-1
+          do iTracer=1,num_tracers
+            vert_flux(iTracer,k) = flux4( tracers(iTracer,k-2,iCell),tracers(iTracer,k-1,iCell),  &amp;
+                                     tracers(iTracer,k  ,iCell),tracers(iTracer,k+1,iCell), w(k,iCell) )
+          end do
+        end do
+
+        k = maxLevelCell(iCell)
+        do iTracer=1,num_tracers
+          weightK = verticalCellSize(k-1, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+          weightKm1 = verticalCellSize(k, iCell) / (verticalCellSize(k-1, iCell) + verticalCellSize(k, iCell))
+          vert_flux(iTracer,k) = w(k,iCell)*(weightK*tracers(iTracer,k,iCell)+weightKm1*tracers(iTracer,k-1,iCell))
+        enddo
+
+        vert_flux(:,maxLevelCell(iCell)+1) = 0.0
+
+        do k=1,maxLevelCell(iCell)
+           do iTracer=1,num_tracers
+             tend(iTracer, k, iCell) = tend(iTracer, k, iCell) + (vert_flux(iTracer, k+1) - vert_flux(iTracer, k))
+           end do
+        end do
+
+      end do
+
+      deallocate(vert_flux)
+                                                                                        
+   end subroutine mpas_ocn_tracer_advection_std_vadv4_tend!}}}
+
+end module mpas_ocn_tracer_advection_std_vadv4

</font>
</pre>