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C $Header: /u/gcmpack/MITgcm/model/src/ini_spherical_polar_grid.F,v 1.30 2011/12/25 22:24:35 jmc Exp $ |
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C $Name: $ |
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#include "CPP_OPTIONS.h" |
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|
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#undef USE_BACKWARD_COMPATIBLE_GRID |
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CBOP |
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C !ROUTINE: INI_SPHERICAL_POLAR_GRID |
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C !INTERFACE: |
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SUBROUTINE INI_SPHERICAL_POLAR_GRID( myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE INI_SPHERICAL_POLAR_GRID |
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C | o Initialise model coordinate system arrays |
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C *==========================================================* |
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C | These arrays are used throughout the code in evaluating |
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C | gradients, integrals and spatial avarages. This routine |
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C | is called separately by each thread and initialise only |
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C | the region of the domain it is "responsible" for. |
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C | Under the spherical polar grid mode primitive distances |
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C | in X and Y are in degrees. Distance in Z are in m or Pa |
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C | depending on the vertical gridding mode. |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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C myThid :: my Thread Id Number |
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INTEGER myThid |
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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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C bi,bj :: tile indices |
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C i, j :: loop counters |
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C lat :: Temporary variables used to hold latitude values. |
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C dlat :: Temporary variables used to hold latitudes increment. |
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C dlon :: Temporary variables used to hold longitude increment. |
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C delXloc :: mesh spacing in X direction |
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C delYloc :: mesh spacing in Y direction |
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C xGloc :: mesh corner-point location (local "Long" real array type) |
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C yGloc :: mesh corner-point location (local "Long" real array type) |
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LOGICAL skipCalcAngleC |
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INTEGER bi, bj |
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INTEGER i, j |
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INTEGER gridNx, gridNy |
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_RL lat, dlat, dlon |
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C NOTICE the extended range of indices!! |
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_RL delXloc(0-OLx:sNx+OLx) |
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_RL delYloc(0-OLy:sNy+OLy) |
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C NOTICE the extended range of indices!! |
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_RL xGloc(1-OLx:sNx+OLx+1,1-OLy:sNy+OLy+1) |
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_RL yGloc(1-OLx:sNx+OLx+1,1-OLy:sNy+OLy+1) |
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CEOP |
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|
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C-- For each tile ... |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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|
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C-- set tile local mesh (same units as delX,deY) |
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C corresponding to coordinates of cell corners for N+1 grid-lines |
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CALL INI_LOCAL_GRID( |
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O xGloc, yGloc, |
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O delXloc, delYloc, |
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O gridNx, gridNy, |
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I bi, bj, myThid ) |
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|
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C-- Make a permanent copy of [xGloc,yGloc] in [xG,yG] |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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xG(i,j,bi,bj) = xGloc(i,j) |
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yG(i,j,bi,bj) = yGloc(i,j) |
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ENDDO |
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ENDDO |
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|
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C-- Calculate [xC,yC], coordinates of cell centers |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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C by averaging |
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xC(i,j,bi,bj) = 0.25 _d 0*( |
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& xGloc(i,j)+xGloc(i+1,j)+xGloc(i,j+1)+xGloc(i+1,j+1) ) |
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yC(i,j,bi,bj) = 0.25 _d 0*( |
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& yGloc(i,j)+yGloc(i+1,j)+yGloc(i,j+1)+yGloc(i+1,j+1) ) |
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ENDDO |
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ENDDO |
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|
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C-- Calculate [dxF,dyF], lengths between cell faces (through center) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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C by averaging |
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c dxF(i,j,bi,bj) = 0.5*(dxG(i,j,bi,bj)+dxG(i,j+1,bi,bj)) |
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c dyF(i,j,bi,bj) = 0.5*(dyG(i,j,bi,bj)+dyG(i+1,j,bi,bj)) |
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C by formula |
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lat = yC(i,j,bi,bj) |
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dlon = delXloc(i) |
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dlat = delYloc(j) |
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dxF(i,j,bi,bj) = rSphere*COS(lat*deg2rad)*dlon*deg2rad |
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dyF(i,j,bi,bj) = rSphere*dlat*deg2rad |
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ENDDO |
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ENDDO |
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|
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C-- Calculate [dxG,dyG], lengths along cell boundaries |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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C by averaging |
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c dxG(i,j,bi,bj) = 0.5*(dxF(i,j,bi,bj)+dxF(i,j-1,bi,bj)) |
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c dyG(i,j,bi,bj) = 0.5*(dyF(i,j,bi,bj)+dyF(i-1,j,bi,bj)) |
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C by formula |
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lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j)) |
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dlon = delXloc(i) |
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dlat = delYloc(j) |
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dxG(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
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IF (dxG(i,j,bi,bj).LT.1.) dxG(i,j,bi,bj)=0. |
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dyG(i,j,bi,bj) = rSphere*dlat*deg2rad |
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ENDDO |
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ENDDO |
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|
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C-- The following arrays are not defined in some parts of the halo |
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C region. We set them to zero here for safety. If they are ever |
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C referred to, especially in the denominator then it is a mistake! |
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C Note: this is now done earlier in main S/R INI_GRID |
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c DO j=1-OLy,sNy+OLy |
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c DO i=1-OLx,sNx+OLx |
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c dxC(i,j,bi,bj) = 0. |
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c dyC(i,j,bi,bj) = 0. |
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c dxV(i,j,bi,bj) = 0. |
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c dyU(i,j,bi,bj) = 0. |
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c rAw(i,j,bi,bj) = 0. |
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c rAs(i,j,bi,bj) = 0. |
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c ENDDO |
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c ENDDO |
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|
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C-- Calculate [dxC], zonal length between cell centers |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx+1,sNx+OLx ! NOTE range |
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C by averaging |
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dxC(i,j,bi,bj) = 0.5 _d 0*(dxF(i,j,bi,bj)+dxF(i-1,j,bi,bj)) |
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C by formula |
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c lat = 0.5*(yC(i,j,bi,bj)+yC(i-1,j,bi,bj)) |
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c dlon = 0.5*( delXloc(i) + delXloc(i-1) ) |
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c dxC(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
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C by difference |
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c lat = 0.5*(yC(i,j,bi,bj)+yC(i-1,j,bi,bj)) |
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c dlon = (xC(i,j,bi,bj)-xC(i-1,j,bi,bj)) |
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c dxC(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
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ENDDO |
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ENDDO |
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|
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C-- Calculate [dyC], meridional length between cell centers |
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DO j=1-OLy+1,sNy+OLy ! NOTE range |
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DO i=1-OLx,sNx+OLx |
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C by averaging |
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dyC(i,j,bi,bj) = 0.5 _d 0*(dyF(i,j,bi,bj)+dyF(i,j-1,bi,bj)) |
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C by formula |
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c dlat = 0.5*( delYloc(j) + delYloc(j-1) ) |
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c dyC(i,j,bi,bj) = rSphere*dlat*deg2rad |
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C by difference |
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c dlat = (yC(i,j,bi,bj)-yC(i,j-1,bi,bj)) |
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c dyC(i,j,bi,bj) = rSphere*dlat*deg2rad |
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ENDDO |
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ENDDO |
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|
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C-- Calculate [dxV,dyU], length between velocity points (through corners) |
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DO j=1-OLy+1,sNy+OLy ! NOTE range |
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DO i=1-OLx+1,sNx+OLx ! NOTE range |
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C by averaging (method I) |
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dxV(i,j,bi,bj) = 0.5 _d 0*(dxG(i,j,bi,bj)+dxG(i-1,j,bi,bj)) |
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dyU(i,j,bi,bj) = 0.5 _d 0*(dyG(i,j,bi,bj)+dyG(i,j-1,bi,bj)) |
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C by averaging (method II) |
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c dxV(i,j,bi,bj) = 0.5*(dxG(i,j,bi,bj)+dxG(i-1,j,bi,bj)) |
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c dyU(i,j,bi,bj) = 0.5*(dyC(i,j,bi,bj)+dyC(i-1,j,bi,bj)) |
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ENDDO |
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ENDDO |
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|
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C-- Calculate vertical face area (tracer cells) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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lat=0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j)) |
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dlon = delXloc(i) |
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dlat = delYloc(j) |
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rA(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad |
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& *ABS( SIN((lat+dlat)*deg2rad)-SIN(lat*deg2rad) ) |
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#ifdef USE_BACKWARD_COMPATIBLE_GRID |
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lat = yC(i,j,bi,bj) - delYloc(j)*0.5 _d 0 |
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dlat= yC(i,j,bi,bj) + delYloc(j)*0.5 _d 0 |
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rA(i,j,bi,bj) = dyF(i,j,bi,bj) |
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& *rSphere*(SIN(dlat*deg2rad)-SIN(lat*deg2rad)) |
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#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
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ENDDO |
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ENDDO |
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|
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C-- Calculate vertical face area (u cells) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx+1,sNx+OLx ! NOTE range |
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C by averaging |
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rAw(i,j,bi,bj) = 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) |
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C by formula |
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c lat=yGloc(i,j) |
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c dlon = 0.5*( delXloc(i) + delXloc(i-1) ) |
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c dlat = delYloc(j) |
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c rAw(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad |
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c & *abs( sin((lat+dlat)*deg2rad)-sin(lat*deg2rad) ) |
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ENDDO |
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ENDDO |
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|
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C-- Calculate vertical face area (v cells) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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C by formula |
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lat=yC(i,j,bi,bj) |
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dlon = delXloc(i) |
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dlat = 0.5 _d 0*( delYloc(j) + delYloc(j-1) ) |
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#ifdef USE_BACKWARD_COMPATIBLE_GRID |
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dlat= delYloc(j) |
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#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
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rAs(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad |
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& *ABS( SIN(lat*deg2rad)-SIN((lat-dlat)*deg2rad) ) |
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IF (ABS(lat).GT.90..OR.ABS(lat-dlat).GT.90.) rAs(i,j,bi,bj)=0. |
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ENDDO |
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ENDDO |
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|
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C-- Calculate vertical face area (vorticity points) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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C by formula |
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lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i,j+1)) |
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dlon = 0.5 _d 0*( delXloc(i) + delXloc(i-1) ) |
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dlat = 0.5 _d 0*( delYloc(j) + delYloc(j-1) ) |
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rAz(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad |
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& *ABS( SIN(lat*deg2rad)-SIN((lat-dlat)*deg2rad) ) |
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IF (ABS(lat).GT.90..OR.ABS(lat-dlat).GT.90.) rAz(i,j,bi,bj)=0. |
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ENDDO |
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ENDDO |
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|
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C-- Calculate trigonometric terms & grid orientation: |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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lat=0.5 _d 0*(yGloc(i,j)+yGloc(i,j+1)) |
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tanPhiAtU(i,j,bi,bj)=TAN(lat*deg2rad) |
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lat=0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j)) |
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tanPhiAtV(i,j,bi,bj)=TAN(lat*deg2rad) |
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C Note: this is now done earlier in main S/R INI_GRID |
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c angleCosC(i,j,bi,bj) = 1. |
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c angleSinC(i,j,bi,bj) = 0. |
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ENDDO |
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ENDDO |
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|
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C-- Cosine(lat) scaling |
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DO j=1-OLy,sNy+OLy |
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i = 1 |
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IF (cosPower.NE.0.) THEN |
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lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i,j+1)) |
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cosFacU(j,bi,bj) = ABS( COS(lat*deg2rad) )**cosPower |
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lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j)) |
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cosFacV(j,bi,bj) = ABS( COS(lat*deg2rad) )**cosPower |
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sqcosFacU(j,bi,bj) = SQRT(cosFacU(j,bi,bj)) |
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sqcosFacV(j,bi,bj) = SQRT(cosFacV(j,bi,bj)) |
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ELSE |
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cosFacU(j,bi,bj) = 1. |
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cosFacV(j,bi,bj) = 1. |
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sqcosFacU(j,bi,bj)=1. |
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sqcosFacV(j,bi,bj)=1. |
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ENDIF |
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ENDDO |
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|
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C-- end bi,bj loops |
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ENDDO |
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ENDDO |
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|
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IF ( rotateGrid ) THEN |
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CALL ROTATE_SPHERICAL_POLAR_GRID( xC, yC, myThid ) |
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CALL ROTATE_SPHERICAL_POLAR_GRID( xG, yG, myThid ) |
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skipCalcAngleC = .FALSE. |
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CALL CALC_GRID_ANGLES( skipCalcAngleC, myThid ) |
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ENDIF |
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|
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RETURN |
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END |
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