<div dir="ltr"><div>I have looked at the script through "<span style="font-family:Arial">calculate integral "<br></span></div><div><br></div><div>I don't see anything obviously wrong. Perhaps plotting the <span style="font-family:Arial">tauvoX_cfd and <span style="font-family:Arial">tauvoY_cfd components might give some insight<br></span></span></div><div><br></div><div><span style="font-family:Arial">curl = (tauvoX_cfd-tauuoY_cfd)</span></div><div><span style="font-family:Arial"></span></div><div><span style="font-family:Arial"></span></div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Wed, Oct 27, 2021 at 8:12 AM Chathurika via ncl-talk <<a href="mailto:ncl-talk@mailman.ucar.edu">ncl-talk@mailman.ucar.edu</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><br>
<p style="font-family:Arial">
Dear all,
</p>
<p style="font-family:Arial">
<br>
</p>
<p style="font-family:Arial">
Thank you so much for reading the email.
</p>
<p style="font-family:Arial">
<br>
</p>
<p style="font-family:Arial">
I am trying to calculate the <span style="color:rgb(28,29,30);font-family:"Open Sans",sans-serif;font-size:12px;white-space:normal;background-color:rgb(255,255,255)">Sverdrup stream function (using the following equation) </span>
</p>
<p style="font-family:Arial">
<br>
</p>
<p style="font-family:Arial">
<img src="cid:17ccd40d62e97ffbf461">
</p>
<p style="font-family:Arial">
<br>
</p>
<p style="font-family:Arial">
However, My results are not correct. Could you please check the attached script and let me know where I do wrong. That would be a really great help. Please be kind to check this out.
</p>
<p style="font-family:Arial">
<br>
</p>
<p style="font-family:Arial">
The script:
</p>
<p style="font-family:Arial">
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">diri="./"</span><br>
<span style="font-family:Arial">sfile = "HR_hist_r1i1p1f1.nc" </span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">f = addfile(diri+sfile,"r")</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> tauuo = f->tauuo(1740:1979,:,:)</span><br>
<span style="font-family:Arial"> printVarSummary(tauuo)</span><br>
<span style="font-family:Arial"> printMinMax(tauuo, False)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> tauvo = f->tauvo(1740:1979,:,:)</span><br>
<span style="font-family:Arial"> printVarSummary(tauvo)</span><br>
<span style="font-family:Arial"> printMinMax(tauvo, False)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">;***************wind stress curl*********************************</span><br>
<span style="font-family:Arial">; Miscellaneous</span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> lat = tauuo&lat</span><br>
<span style="font-family:Arial"> lon = tauuo&lon </span><br>
<span style="font-family:Arial"> </span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial">; CENTERED FINITE DIFFERENCES:</span><br>
<span style="font-family:Arial">; Use local function [grad_latlon_cfd]</span><br>
<span style="font-family:Arial">; to compute zonal (X) and meridional (Y) gradients.</span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> gradLatLon = grad_latlon_cfd(tauuo, lat, lon, True, False) </span><br>
<span style="font-family:Arial"> tauuoY_cfd = gradLatLon[0]</span><br>
<span style="font-family:Arial"> tauuoX_cfd = gradLatLon[1]</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> tauuoY_cfd@long_name = "tauuoY: cfd"</span><br>
<span style="font-family:Arial"> tauuoY_cfd@units = "Nm-3"</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> tauuoX_cfd@long_name = "tauuoX: cfd"</span><br>
<span style="font-family:Arial"> tauuoX_cfd@units = "Nm-3"</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> printVarSummary(tauuoY_cfd)</span><br>
<span style="font-family:Arial"> printMinMax(tauuoY_cfd, False) ; unscaled = True</span><br>
<span style="font-family:Arial"> printVarSummary(tauuoX_cfd)</span><br>
<span style="font-family:Arial"> printMinMax(tauuoX_cfd,False)</span><br>
<span style="font-family:Arial"> print("")</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">delete([/lat,lon,gradLatLon/])</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial">; Miscellaneous</span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> lat = tauvo&lat</span><br>
<span style="font-family:Arial"> lon = tauvo&lon </span><br>
<span style="font-family:Arial"> </span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial">; CENTERED FINITE DIFFERENCES:</span><br>
<span style="font-family:Arial">; Use local function [grad_latlon_cfd]</span><br>
<span style="font-family:Arial">; to compute zonal (X) and meridional (Y) gradients.</span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> gradLatLon = grad_latlon_cfd(tauvo, lat, lon, True, False) </span><br>
<span style="font-family:Arial"> tauvoY_cfd = gradLatLon[0]</span><br>
<span style="font-family:Arial"> tauvoX_cfd = gradLatLon[1]</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> tauvoY_cfd@long_name = "tauvoY: cfd"</span><br>
<span style="font-family:Arial"> tauvoY_cfd@units = "Nm-3"</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> tauvoX_cfd@long_name = "tauvoX: cfd"</span><br>
<span style="font-family:Arial"> tauvoX_cfd@units = "Nm-3"</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> printVarSummary(tauuoY_cfd)</span><br>
<span style="font-family:Arial"> printMinMax(tauvoY_cfd, False) ; True=unscaled</span><br>
<span style="font-family:Arial"> printVarSummary(tauuoX_cfd)</span><br>
<span style="font-family:Arial"> printMinMax(tauvoX_cfd,False)</span><br>
<span style="font-family:Arial"> print("")</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">curl = (tauvoX_cfd-tauuoY_cfd)</span>
</p>
<p style="font-family:Arial">
<span style="font-family:Arial">copy_VarCoords(tauuo, curl)</span><br>
<span style="font-family:Arial">curl@long_name = "wind stress curl"</span><br>
<span style="font-family:Arial">curl@units = "Nm-3"</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">printVarSummary(curl)</span><br>
<span style="font-family:Arial">printMinMax(curl, False)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">curl_av = dim_avg_n_Wrap(curl, 0)</span><br>
<span style="font-family:Arial">printVarSummary(curl_av)</span><br>
<span style="font-family:Arial">printMinMax(curl_av, False)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">delete([/gradLatLon,curl/])</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">;..........Sv stream function........</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">re = 6371000</span><br>
<span style="font-family:Arial">density = 1027</span><br>
<span style="font-family:Arial">omega = 7.292e-05</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">dx = 104492.5 ; in meter</span><br>
<span style="font-family:Arial">d2rad = 0.017453 ; degrees to radians</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">lat_S = sin(lat*d2rad)</span><br>
<span style="font-family:Arial">printMinMax(lat_S, True)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">coriolis = 2*omega*lat_S</span><br>
<span style="font-family:Arial">printVarSummary(coriolis)</span><br>
<span style="font-family:Arial">printMinMax(coriolis, True)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">nlat = dimsizes(curl_av&lat)</span><br>
<span style="font-family:Arial">print(nlat)</span><br>
<span style="font-family:Arial">nlon = dimsizes(curl_av&lon)</span><br>
<span style="font-family:Arial">print(nlon)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> latitude = curl_av&lat</span><br>
<span style="font-family:Arial"> longitude = curl_av&lon</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">;************************************************************** </span><br>
<span style="font-family:Arial">; calculate intergral </span><br>
<span style="font-family:Arial">; int[lon1:lon2]curl*re*cos(lat)*dx</span><br>
<br>
<span style="font-family:Arial">;**************************************************************</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">zone_int = new((/nlat,nlon/),typeof(curl_av)) ; allocate space</span><br>
<span style="font-family:Arial"> </span><br>
<span style="font-family:Arial"> do k = 0, nlon-1</span><br>
<span style="font-family:Arial"> do j = 0, nlat-1</span><br>
<span style="font-family:Arial"> zone_int(j,k) = dim_sum(curl_av(j,0:k)*re*cos(lat(j)*d2rad)*dx)</span><br>
<span style="font-family:Arial"> end do</span><br>
<span style="font-family:Arial"> end do</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">printVarSummary(zone_int)</span><br>
<span style="font-family:Arial">printMinMax(zone_int, True)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">cornew = new(dimsizes(curl_av), typeof(coriolis), getFillValue(coriolis))</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">do i = 0,180</span><br>
<span style="font-family:Arial"> do j = 0,360</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> cornew(i,j) = coriolis(i)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> end do</span><br>
<span style="font-family:Arial"> end do</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> printVarSummary(cornew)</span><br>
<span style="font-family:Arial"> printMinMax(cornew, True)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">dimcornew = dimsizes(cornew)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial">; SPHERICAL HARMONICS:</span><br>
<span style="font-family:Arial">; Use "highly accurate" spherical harmonics procedure (gradsg)</span><br>
<span style="font-family:Arial">; to compute zonal (X) and meridional (Y) gradients.</span><br>
<span style="font-family:Arial">;************************************************</span><br>
<span style="font-family:Arial"> ; pre-allocate space for return gradients</span><br>
<span style="font-family:Arial"> cornewX_gradsg = new( dimcornew, typeof(cornew), getFillValue(cornew) ) ; lon=>X</span><br>
<span style="font-family:Arial"> cornewY_gradsg = new( dimcornew, typeof(cornew), getFillValue(cornew) ) ; lat=>Y</span><br>
<span style="font-family:Arial"> gradsg(cornew, cornewX_gradsg, cornewY_gradsg) ; procedure for gaussian grids</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> copy_VarCoords(cornew, cornewX_gradsg) ; add meta data</span><br>
<span style="font-family:Arial"> copy_VarCoords(cornew, cornewY_gradsg) </span><br>
<span style="font-family:Arial"> cornewX_gradsg@long_name = "cornewX: gradsg"</span><br>
<span style="font-family:Arial"> cornewX_gradsg@units = "1/s2"</span><br>
<span style="font-family:Arial"> cornewY_gradsg@long_name = "cornewY: gradsg"</span><br>
<span style="font-family:Arial"> cornewY_gradsg@units = "1/s2"</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> print("")</span><br>
<span style="font-family:Arial"> printMinMax(cornewY_gradsg,True ) ; unscaled</span><br>
<span style="font-family:Arial"> printMinMax(cornewX_gradsg,False)</span><br>
<span style="font-family:Arial"> print("")</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">printVarSummary(cornewY_gradsg)</span><br>
<span style="font-family:Arial">;print(cornewY_gradsg)</span><br>
<span style="font-family:Arial">;</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">betarow = (cornewY_gradsg*density)</span><br>
<span style="font-family:Arial">copy_VarCoords(curl_av, betarow)</span><br>
<span style="font-family:Arial">printVarSummary(betarow)</span><br>
<span style="font-family:Arial">printMinMax(betarow, True)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">stm = (-1/betarow) * zone_int *1e-06</span><br>
<span style="font-family:Arial">copy_VarCoords(curl_av, stm)</span><br>
<span style="font-family:Arial">printVarSummary(stm)</span><br>
<span style="font-family:Arial">printMinMax(stm, True)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">;print(stm(80,:))</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">;**********************plot**************************</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> wks = gsn_open_wks("png","HR_sv") ; send graphics to PNG file</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> setvalues NhlGetWorkspaceObjectId</span><br>
<span style="font-family:Arial"> "wsMaximumSize" : 300000000</span><br>
<span style="font-family:Arial"> end setvalues</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> res = True</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> res@gsnDraw = False ;-- don't draw plot yet</span><br>
<span style="font-family:Arial"> res@gsnFrame = False ;-- don't advance frame</span><br>
<span style="font-family:Arial"> res@gsnMaximize = True ;-- maximize plot output</span><br>
<span style="font-family:Arial"> res@gsnAddCyclic = False ;-- don't add cyclic points</span><br>
<span style="font-family:Arial"> res@gsnLeftStringFontHeightF = 0.010 ;-- decrease left string font size</span><br>
<span style="font-family:Arial"> res@gsnRightStringFontHeightF = 0.010 ;-- decrease right string font size</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> res@cnLevelSelectionMode = "ManualLevels" ; set manual contour levels</span><br>
<span style="font-family:Arial"> res@cnMinLevelValF = -80 ; set min contour level</span><br>
<span style="font-family:Arial"> res@cnMaxLevelValF = 80 ; set max contour level</span><br>
<span style="font-family:Arial"> res@cnLevelSpacingF = 1 ; set contour spacing</span><br>
<span style="font-family:Arial"> </span><br>
<span style="font-family:Arial"> res@cnFillOn = True ; turn on contour fill</span><br>
<span style="font-family:Arial"> res@cnLinesOn = False ; turn off contour lines</span><br>
<span style="font-family:Arial"> res@cnLineLabelsOn = False ; turn off contour labels</span><br>
<span style="font-family:Arial"> res@cnFillDrawOrder = "PreDraw"</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> res@cnFillPalette = "cmp_flux" ; set color map</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> cmap = read_colormap_file("cmp_flux") ; 16 x 4</span><br>
<span style="font-family:Arial"> ncolors = dimsizes(cmap(:,1))</span><br>
<span style="font-family:Arial"> print(dimsizes(cmap))</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> cmap(10,:) = namedcolor2rgba("white")</span><br>
<span style="font-family:Arial"> cmap(11,:) = namedcolor2rgba("white")</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">res@cnFillPalette := cmap</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> res@mpFillOn = True</span><br>
<span style="font-family:Arial"> ;res@mpOutlineOn=False</span><br>
<span style="font-family:Arial"> res@mpGridAndLimbOn = False</span><br>
<span style="font-family:Arial"> res@mpOutlineBoundarySets = "National"</span><br>
<span style="font-family:Arial"> res@mpGeophysicalLineThicknessF = 1.5</span><br>
<span style="font-family:Arial"> res@mpDataBaseVersion = "LowRes"</span><br>
<span style="font-family:Arial"> res@mpDataSetName = "Earth.4" </span><br>
<span style="font-family:Arial"> res@lbLabelBarOn = True</span><br>
<span style="font-family:Arial"> </span><br>
<span style="font-family:Arial"> ;res@sfXArray = lon2d ;-- longitude grid cell center</span><br>
<span style="font-family:Arial"> ;res@sfYArray = lat2d ;-- latitude grid cell center</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial">;-- create the plot</span><br>
<span style="font-family:Arial"> </span><br>
<span style="font-family:Arial"> res@gsnCenterString = "Wind stress curl"</span><br>
<span style="font-family:Arial"> res@gsnCenterStringFontHeightF = 0.013</span><br>
<span style="font-family:Arial"> res@gsnLeftStringFontHeightF = 0.013</span><br>
<span style="font-family:Arial"> res@gsnLeftString = "[2080-2099]-[1995-2014]"</span><br>
<span style="font-family:Arial"> res@gsnRightStringFontHeightF = 0.013</span><br>
<span style="font-family:Arial"> res@gsnRightString = "MPI-ESM-HR"</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> plot = gsn_csm_contour_map(wks, stm, res)</span><br>
<span style="font-family:Arial"><br>
</span><br>
<span style="font-family:Arial"> ;-- draw the plot and advance the frame </span><br>
<span style="font-family:Arial"> draw(plot)</span><br>
<span style="font-family:Arial"> frame(wks)</span><br>
<span style="font-family:Arial"><br>
</span><br>
Thank you very much and best regards,
</p>
<p style="font-family:Arial">
Chathu<br>
</p>
<br>
<span style="font-family:Arial">
<hr style="margin:0.5em 0px;width:10em;height:1px;background-color:rgb(153,153,153);border:medium none" align="left">
<blockquote style="margin:0px 0px 0px 40px;padding:0px;font-family:"Helvetica Neue",Helvetica,Arial,sans-serif;font-size:small;font-variant-ligatures:normal;border:medium none">
<span style="font-style:italic;font-size:medium"><br>
</span>
</blockquote>
<blockquote style="margin:0px 0px 0px 40px;padding:0px;font-family:"Helvetica Neue",Helvetica,Arial,sans-serif;font-size:small;font-variant-ligatures:normal;border:medium none">
<span style="font-style:italic;font-size:medium"><br>
</span>
</blockquote>
<blockquote style="margin:0px 0px 0px 40px;padding:0px;font-family:"Helvetica Neue",Helvetica,Arial,sans-serif;font-variant-ligatures:normal;border:medium none">
<span style="font-style:italic"><span style="font-size:x-small">Wickramage Chathurika Hemamali</span></span>
<div>
<span style="font-style:italic"><span style="font-size:x-small">Msc in Physical Oceanography</span></span>
</div>
<div>
<div id="gmail-m_-904666148884463692ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2251">
<span style="font-style:italic"><span style="font-size:x-small">State Key Laboratory of Tropical Oceanography</span></span>
</div>
</div>
<div>
<div id="gmail-m_-904666148884463692ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2252">
<span style="font-style:italic"><span style="font-size:x-small">South China Sea Institute of Oceanology</span></span>
</div>
<div id="gmail-m_-904666148884463692ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2252">
<span style="font-style:italic"><span style="font-size:x-small">University of Chinese Academy of Science</span></span>
</div>
</div>
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<div id="gmail-m_-904666148884463692ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2264">
<span style="font-style:italic"><span style="font-size:x-small">China</span></span>
</div>
</div>
<div id="gmail-m_-904666148884463692ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2264" style="font-size:small">
<br>
</div>
<div id="gmail-m_-904666148884463692ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2264" style="font-size:small">
<span style="font-style:italic;font-size:medium"><br>
</span>
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<div id="gmail-m_-904666148884463692ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2264" style="font-size:small">
<span style="font-style:italic;font-size:medium">Email : <a>wickramagechathurika@rocketmail.com</a></span>
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<div id="gmail-m_-904666148884463692ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2264" style="font-size:small">
<span style="font-style:italic;font-size:medium"><a>chatu@scsio.ac.cn</a></span>
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</blockquote>
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