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jmc |
1.31 |
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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cnh |
1.17 |
C $Name: $ |
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cnh |
1.1 |
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cnh |
1.10 |
#include "CPP_OPTIONS.h" |
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cnh |
1.1 |
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jmc |
1.28 |
#undef USE_BACKWARD_COMPATIBLE_GRID |
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adcroft |
1.15 |
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cnh |
1.19 |
CBOP |
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C !ROUTINE: INI_SPHERICAL_POLAR_GRID |
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C !INTERFACE: |
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cnh |
1.1 |
SUBROUTINE INI_SPHERICAL_POLAR_GRID( myThid ) |
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jmc |
1.27 |
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cnh |
1.19 |
C !DESCRIPTION: \bv |
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jmc |
1.27 |
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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cnh |
1.19 |
C \ev |
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C !USES: |
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adcroft |
1.12 |
IMPLICIT NONE |
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cnh |
1.1 |
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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cnh |
1.19 |
C !INPUT/OUTPUT PARAMETERS: |
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cnh |
1.1 |
C == Routine arguments == |
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jmc |
1.27 |
C myThid :: my Thread Id Number |
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cnh |
1.1 |
INTEGER myThid |
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cnh |
1.19 |
C !LOCAL VARIABLES: |
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cnh |
1.1 |
C == Local variables == |
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jmc |
1.27 |
C bi,bj :: tile indices |
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C i, j :: loop counters |
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jmc |
1.29 |
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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jmc |
1.31 |
LOGICAL skipCalcAngleC |
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cnh |
1.1 |
INTEGER bi, bj |
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jmc |
1.27 |
INTEGER i, j |
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jmc |
1.29 |
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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cnh |
1.19 |
CEOP |
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cnh |
1.1 |
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jmc |
1.29 |
C-- For each tile ... |
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cnh |
1.1 |
DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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adcroft |
1.15 |
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jmc |
1.29 |
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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adcroft |
1.15 |
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C-- Make a permanent copy of [xGloc,yGloc] in [xG,yG] |
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jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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jmc |
1.27 |
xG(i,j,bi,bj) = xGloc(i,j) |
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yG(i,j,bi,bj) = yGloc(i,j) |
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adcroft |
1.15 |
ENDDO |
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ENDDO |
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C-- Calculate [xC,yC], coordinates of cell centers |
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jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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adcroft |
1.15 |
C by averaging |
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jmc |
1.27 |
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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adcroft |
1.15 |
ENDDO |
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ENDDO |
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C-- Calculate [dxF,dyF], lengths between cell faces (through center) |
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jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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adcroft |
1.15 |
C by averaging |
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jmc |
1.27 |
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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adcroft |
1.15 |
C by formula |
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jmc |
1.27 |
lat = yC(i,j,bi,bj) |
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jmc |
1.29 |
dlon = delXloc(i) |
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dlat = delYloc(j) |
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jmc |
1.28 |
dxF(i,j,bi,bj) = rSphere*COS(lat*deg2rad)*dlon*deg2rad |
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jmc |
1.27 |
dyF(i,j,bi,bj) = rSphere*dlat*deg2rad |
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adcroft |
1.15 |
ENDDO |
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ENDDO |
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C-- Calculate [dxG,dyG], lengths along cell boundaries |
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jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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adcroft |
1.15 |
C by averaging |
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jmc |
1.27 |
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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adcroft |
1.15 |
C by formula |
| 118 |
jmc |
1.27 |
lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j)) |
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jmc |
1.29 |
dlon = delXloc(i) |
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dlat = delYloc(j) |
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jmc |
1.27 |
dxG(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
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jmc |
1.28 |
IF (dxG(i,j,bi,bj).LT.1.) dxG(i,j,bi,bj)=0. |
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jmc |
1.27 |
dyG(i,j,bi,bj) = rSphere*dlat*deg2rad |
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adcroft |
1.15 |
ENDDO |
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ENDDO |
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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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jmc |
1.31 |
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. |
| 139 |
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c ENDDO |
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c ENDDO |
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adcroft |
1.15 |
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| 142 |
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C-- Calculate [dxC], zonal length between cell centers |
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jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
| 144 |
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DO i=1-OLx+1,sNx+OLx ! NOTE range |
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adcroft |
1.15 |
C by averaging |
| 146 |
jmc |
1.27 |
dxC(i,j,bi,bj) = 0.5 _d 0*(dxF(i,j,bi,bj)+dxF(i-1,j,bi,bj)) |
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adcroft |
1.15 |
C by formula |
| 148 |
jmc |
1.27 |
c lat = 0.5*(yC(i,j,bi,bj)+yC(i-1,j,bi,bj)) |
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jmc |
1.29 |
c dlon = 0.5*( delXloc(i) + delXloc(i-1) ) |
| 150 |
jmc |
1.27 |
c dxC(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
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adcroft |
1.15 |
C by difference |
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jmc |
1.27 |
c lat = 0.5*(yC(i,j,bi,bj)+yC(i-1,j,bi,bj)) |
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jmc |
1.29 |
c dlon = (xC(i,j,bi,bj)-xC(i-1,j,bi,bj)) |
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jmc |
1.27 |
c dxC(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
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cnh |
1.1 |
ENDDO |
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ENDDO |
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adcroft |
1.15 |
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| 158 |
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C-- Calculate [dyC], meridional length between cell centers |
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jmc |
1.29 |
DO j=1-OLy+1,sNy+OLy ! NOTE range |
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DO i=1-OLx,sNx+OLx |
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adcroft |
1.15 |
C by averaging |
| 162 |
jmc |
1.27 |
dyC(i,j,bi,bj) = 0.5 _d 0*(dyF(i,j,bi,bj)+dyF(i,j-1,bi,bj)) |
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adcroft |
1.15 |
C by formula |
| 164 |
jmc |
1.29 |
c dlat = 0.5*( delYloc(j) + delYloc(j-1) ) |
| 165 |
jmc |
1.27 |
c dyC(i,j,bi,bj) = rSphere*dlat*deg2rad |
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adcroft |
1.15 |
C by difference |
| 167 |
jmc |
1.29 |
c dlat = (yC(i,j,bi,bj)-yC(i,j-1,bi,bj)) |
| 168 |
jmc |
1.27 |
c dyC(i,j,bi,bj) = rSphere*dlat*deg2rad |
| 169 |
cnh |
1.1 |
ENDDO |
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ENDDO |
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adcroft |
1.15 |
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| 172 |
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C-- Calculate [dxV,dyU], length between velocity points (through corners) |
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jmc |
1.29 |
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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adcroft |
1.15 |
C by averaging (method I) |
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jmc |
1.27 |
dxV(i,j,bi,bj) = 0.5 _d 0*(dxG(i,j,bi,bj)+dxG(i-1,j,bi,bj)) |
| 177 |
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dyU(i,j,bi,bj) = 0.5 _d 0*(dyG(i,j,bi,bj)+dyG(i,j-1,bi,bj)) |
| 178 |
adcroft |
1.15 |
C by averaging (method II) |
| 179 |
jmc |
1.27 |
c dxV(i,j,bi,bj) = 0.5*(dxG(i,j,bi,bj)+dxG(i-1,j,bi,bj)) |
| 180 |
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c dyU(i,j,bi,bj) = 0.5*(dyC(i,j,bi,bj)+dyC(i-1,j,bi,bj)) |
| 181 |
cnh |
1.1 |
ENDDO |
| 182 |
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ENDDO |
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adcroft |
1.15 |
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| 184 |
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C-- Calculate vertical face area (tracer cells) |
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jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
| 186 |
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DO i=1-OLx,sNx+OLx |
| 187 |
jmc |
1.27 |
lat=0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j)) |
| 188 |
jmc |
1.29 |
dlon = delXloc(i) |
| 189 |
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dlat = delYloc(j) |
| 190 |
jmc |
1.27 |
rA(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad |
| 191 |
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& *ABS( SIN((lat+dlat)*deg2rad)-SIN(lat*deg2rad) ) |
| 192 |
jmc |
1.28 |
#ifdef USE_BACKWARD_COMPATIBLE_GRID |
| 193 |
jmc |
1.29 |
lat = yC(i,j,bi,bj) - delYloc(j)*0.5 _d 0 |
| 194 |
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dlat= yC(i,j,bi,bj) + delYloc(j)*0.5 _d 0 |
| 195 |
jmc |
1.27 |
rA(i,j,bi,bj) = dyF(i,j,bi,bj) |
| 196 |
jmc |
1.28 |
& *rSphere*(SIN(dlat*deg2rad)-SIN(lat*deg2rad)) |
| 197 |
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#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
| 198 |
adcroft |
1.15 |
ENDDO |
| 199 |
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ENDDO |
| 200 |
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| 201 |
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C-- Calculate vertical face area (u cells) |
| 202 |
jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
| 203 |
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DO i=1-OLx+1,sNx+OLx ! NOTE range |
| 204 |
adcroft |
1.15 |
C by averaging |
| 205 |
jmc |
1.27 |
rAw(i,j,bi,bj) = 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) |
| 206 |
adcroft |
1.15 |
C by formula |
| 207 |
jmc |
1.27 |
c lat=yGloc(i,j) |
| 208 |
jmc |
1.29 |
c dlon = 0.5*( delXloc(i) + delXloc(i-1) ) |
| 209 |
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c dlat = delYloc(j) |
| 210 |
jmc |
1.27 |
c rAw(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad |
| 211 |
adcroft |
1.15 |
c & *abs( sin((lat+dlat)*deg2rad)-sin(lat*deg2rad) ) |
| 212 |
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ENDDO |
| 213 |
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ENDDO |
| 214 |
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| 215 |
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C-- Calculate vertical face area (v cells) |
| 216 |
jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
| 217 |
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DO i=1-OLx,sNx+OLx |
| 218 |
adcroft |
1.15 |
C by formula |
| 219 |
jmc |
1.27 |
lat=yC(i,j,bi,bj) |
| 220 |
jmc |
1.29 |
dlon = delXloc(i) |
| 221 |
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dlat = 0.5 _d 0*( delYloc(j) + delYloc(j-1) ) |
| 222 |
jmc |
1.28 |
#ifdef USE_BACKWARD_COMPATIBLE_GRID |
| 223 |
jmc |
1.29 |
dlat= delYloc(j) |
| 224 |
jmc |
1.28 |
#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
| 225 |
jmc |
1.27 |
rAs(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad |
| 226 |
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& *ABS( SIN(lat*deg2rad)-SIN((lat-dlat)*deg2rad) ) |
| 227 |
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IF (ABS(lat).GT.90..OR.ABS(lat-dlat).GT.90.) rAs(i,j,bi,bj)=0. |
| 228 |
adcroft |
1.15 |
ENDDO |
| 229 |
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ENDDO |
| 230 |
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| 231 |
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C-- Calculate vertical face area (vorticity points) |
| 232 |
jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
| 233 |
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DO i=1-OLx,sNx+OLx |
| 234 |
adcroft |
1.15 |
C by formula |
| 235 |
jmc |
1.29 |
lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i,j+1)) |
| 236 |
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dlon = 0.5 _d 0*( delXloc(i) + delXloc(i-1) ) |
| 237 |
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dlat = 0.5 _d 0*( delYloc(j) + delYloc(j-1) ) |
| 238 |
jmc |
1.27 |
rAz(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad |
| 239 |
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& *ABS( SIN(lat*deg2rad)-SIN((lat-dlat)*deg2rad) ) |
| 240 |
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IF (ABS(lat).GT.90..OR.ABS(lat-dlat).GT.90.) rAz(i,j,bi,bj)=0. |
| 241 |
adcroft |
1.15 |
ENDDO |
| 242 |
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ENDDO |
| 243 |
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| 244 |
jmc |
1.23 |
C-- Calculate trigonometric terms & grid orientation: |
| 245 |
jmc |
1.29 |
DO j=1-OLy,sNy+OLy |
| 246 |
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DO i=1-OLx,sNx+OLx |
| 247 |
jmc |
1.27 |
lat=0.5 _d 0*(yGloc(i,j)+yGloc(i,j+1)) |
| 248 |
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tanPhiAtU(i,j,bi,bj)=TAN(lat*deg2rad) |
| 249 |
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lat=0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j)) |
| 250 |
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tanPhiAtV(i,j,bi,bj)=TAN(lat*deg2rad) |
| 251 |
jmc |
1.31 |
C Note: this is now done earlier in main S/R INI_GRID |
| 252 |
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c angleCosC(i,j,bi,bj) = 1. |
| 253 |
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c angleSinC(i,j,bi,bj) = 0. |
| 254 |
adcroft |
1.11 |
ENDDO |
| 255 |
adcroft |
1.18 |
ENDDO |
| 256 |
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| 257 |
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C-- Cosine(lat) scaling |
| 258 |
jmc |
1.27 |
DO j=1-OLy,sNy+OLy |
| 259 |
jmc |
1.28 |
i = 1 |
| 260 |
adcroft |
1.18 |
IF (cosPower.NE.0.) THEN |
| 261 |
jmc |
1.28 |
lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i,j+1)) |
| 262 |
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cosFacU(j,bi,bj) = ABS( COS(lat*deg2rad) )**cosPower |
| 263 |
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lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j)) |
| 264 |
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cosFacV(j,bi,bj) = ABS( COS(lat*deg2rad) )**cosPower |
| 265 |
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sqcosFacU(j,bi,bj) = SQRT(cosFacU(j,bi,bj)) |
| 266 |
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sqcosFacV(j,bi,bj) = SQRT(cosFacV(j,bi,bj)) |
| 267 |
adcroft |
1.18 |
ELSE |
| 268 |
jmc |
1.28 |
cosFacU(j,bi,bj) = 1. |
| 269 |
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cosFacV(j,bi,bj) = 1. |
| 270 |
jmc |
1.27 |
sqcosFacU(j,bi,bj)=1. |
| 271 |
|
|
sqcosFacV(j,bi,bj)=1. |
| 272 |
adcroft |
1.18 |
ENDIF |
| 273 |
adcroft |
1.11 |
ENDDO |
| 274 |
adcroft |
1.15 |
|
| 275 |
jmc |
1.28 |
C-- end bi,bj loops |
| 276 |
|
|
ENDDO |
| 277 |
|
|
ENDDO |
| 278 |
adcroft |
1.15 |
|
| 279 |
mlosch |
1.24 |
IF ( rotateGrid ) THEN |
| 280 |
|
|
CALL ROTATE_SPHERICAL_POLAR_GRID( xC, yC, myThid ) |
| 281 |
|
|
CALL ROTATE_SPHERICAL_POLAR_GRID( xG, yG, myThid ) |
| 282 |
jmc |
1.31 |
skipCalcAngleC = .FALSE. |
| 283 |
|
|
CALL CALC_GRID_ANGLES( skipCalcAngleC, myThid ) |
| 284 |
mlosch |
1.24 |
ENDIF |
| 285 |
|
|
|
| 286 |
cnh |
1.1 |
RETURN |
| 287 |
|
|
END |
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