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C $Header$ |
C $Header$ |
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C $Name$ |
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#include "CPP_EEOPTIONS.h" |
#include "CPP_OPTIONS.h" |
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#undef USE_BACKWARD_COMPATIBLE_GRID |
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CStartOfInterface |
CStartOfInterface |
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SUBROUTINE INI_SPHERICAL_POLAR_GRID( myThid ) |
SUBROUTINE INI_SPHERICAL_POLAR_GRID( myThid ) |
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C | in X and Y are in degrees. Distance in Z are in m or Pa | |
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. | |
C | depending on the vertical gridding mode. | |
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C \==========================================================/ |
C \==========================================================/ |
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IMPLICIT NONE |
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C === Global variables === |
C === Global variables === |
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#include "SIZE.h" |
#include "SIZE.h" |
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C == Local variables == |
C == Local variables == |
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C xG, yG - Global coordinate location. |
C xG, yG - Global coordinate location. |
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C zG |
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C xBase - South-west corner location for process. |
C xBase - South-west corner location for process. |
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C yBase |
C yBase |
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C zUpper - Work arrays for upper and lower |
C zUpper - Work arrays for upper and lower |
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C lat, latN, - Temporary variables used to hold latitude |
C lat, latN, - Temporary variables used to hold latitude |
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C latS values. |
C latS values. |
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C I,J,K |
C I,J,K |
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_RL xG, yG, zG |
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_RL phi |
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_RL zUpper(Nz), zLower(Nz) |
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_RL xBase, yBase |
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INTEGER iG, jG |
INTEGER iG, jG |
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INTEGER bi, bj |
INTEGER bi, bj |
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INTEGER I, J, K |
INTEGER I, J |
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_RL lat, latS, latN |
_RL lat, dlat, dlon, xG0, yG0 |
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C "Long" real for temporary coordinate calculation |
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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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C These functions return the "global" index with valid values beyond |
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C halo regions |
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INTEGER iGl,jGl |
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iGl(I,bi) = 1+mod(myXGlobalLo-1+(bi-1)*sNx+I+Olx*Nx-1,Nx) |
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jGl(J,bj) = 1+mod(myYGlobalLo-1+(bj-1)*sNy+J+Oly*Ny-1,Ny) |
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C-- Example of inialisation for spherical polar grid |
C For each tile ... |
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C-- First set coordinates of cell centers |
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C This operation is only performed at start up so for more |
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C complex configurations it is usually OK to pass iG, jG to a custom |
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C function and have it return xG and yG. |
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C Set up my local grid first |
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C Note: In the spherical polar case delX and delY are given in |
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C degrees and are relative to some starting latitude and |
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C longitude - phiMin and thetaMin. |
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xC0 = thetaMin |
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yC0 = phiMin |
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DO bj = myByLo(myThid), myByHi(myThid) |
DO bj = myByLo(myThid), myByHi(myThid) |
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jG = myYGlobalLo + (bj-1)*sNy |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
DO bi = myBxLo(myThid), myBxHi(myThid) |
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C-- "Global" index (place holder) |
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jG = myYGlobalLo + (bj-1)*sNy |
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iG = myXGlobalLo + (bi-1)*sNx |
iG = myXGlobalLo + (bi-1)*sNx |
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yBase = phiMin |
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xBase = thetaMin |
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DO i=1,iG-1 |
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xBase = xBase + delX(i) |
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ENDDO |
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DO j=1,jG-1 |
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yBase = yBase + delY(j) |
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ENDDO |
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yG = yBase |
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DO J=1,sNy |
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xG = xBase |
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DO I=1,sNx |
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xc(I,J,bi,bj) = xG + delX(iG+i-1)*0.5 _d 0 |
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yc(I,J,bi,bj) = yG + delY(jG+j-1)*0.5 _d 0 |
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xG = xG + delX(iG+I-1) |
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dxF(I,J,bi,bj) = delX(iG+i-1)*deg2rad*rSphere*COS(yc(I,J,bi,bj)*deg2rad) |
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dyF(I,J,bi,bj) = delY(jG+j-1)*deg2rad*rSphere |
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ENDDO |
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yG = yG + delY(jG+J-1) |
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ENDDO |
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ENDDO |
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ENDDO |
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C Now sync. and get edge regions from other threads and/or processes. |
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C Note: We could just set the overlap regions ourselves here but |
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C exchanging edges is safer and is good practice! |
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_EXCH_XY_R4( xc, myThid ) |
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_EXCH_XY_R4( yc, myThid ) |
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_EXCH_XY_R4(dxF, myThid ) |
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_EXCH_XY_R4(dyF, myThid ) |
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C-- Calculate separation between other points |
C-- First find coordinate of tile corner (meaning outer corner of halo) |
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C dxG, dyG are separations between cell corners along cell faces. |
xG0 = thetaMin |
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DO bj = myByLo(myThid), myByHi(myThid) |
C Find the X-coordinate of the outer grid-line of the "real" tile |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
DO i=1, iG-1 |
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DO J=1,sNy |
xG0 = xG0 + delX(i) |
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DO I=1,sNx |
ENDDO |
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jG = myYGlobalLo + (bj-1)*sNy + J-1 |
C Back-step to the outer grid-line of the "halo" region |
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iG = myXGlobalLo + (bi-1)*sNx + I-1 |
DO i=1, Olx |
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lat = yc(I,J,bi,bj)-delY(jG) * 0.5 _d 0 |
xG0 = xG0 - delX( 1+mod(Olx*Nx-1+iG-i,Nx) ) |
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dxG(I,J,bi,bj) = rSphere*COS(lat*deg2rad)*delX(iG)*deg2rad |
ENDDO |
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dyG(I,J,bi,bj) = (dyF(I,J,bi,bj)+dyF(I-1,J,bi,bj))*0.5 _d 0 |
C Find the Y-coordinate of the outer grid-line of the "real" tile |
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yG0 = phiMin |
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DO j=1, jG-1 |
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yG0 = yG0 + delY(j) |
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ENDDO |
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C Back-step to the outer grid-line of the "halo" region |
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DO j=1, Oly |
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yG0 = yG0 - delY( 1+mod(Oly*Ny-1+jG-j,Ny) ) |
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ENDDO |
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C-- Calculate coordinates of cell corners for N+1 grid-lines |
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DO J=1-Oly,sNy+Oly +1 |
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xGloc(1-Olx,J) = xG0 |
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DO I=1-Olx,sNx+Olx |
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c xGloc(I+1,J) = xGloc(I,J) + delX(1+mod(Nx-1+iG-1+i,Nx)) |
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xGloc(I+1,J) = xGloc(I,J) + delX( iGl(I,bi) ) |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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ENDDO |
DO I=1-Olx,sNx+Olx +1 |
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ENDDO |
yGloc(I,1-Oly) = yG0 |
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_EXCH_XY_R4(dxG, myThid ) |
DO J=1-Oly,sNy+Oly |
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_EXCH_XY_R4(dyG, myThid ) |
c yGloc(I,J+1) = yGloc(I,J) + delY(1+mod(Ny-1+jG-1+j,Ny)) |
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C dxV, dyU are separations between velocity points along cell faces. |
yGloc(I,J+1) = yGloc(I,J) + delY( jGl(J,bj) ) |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO J=1,sNy |
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DO I=1,sNx |
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dxV(I,J,bi,bj) = (dxG(I,J,bi,bj)+dxG(I-1,J,bi,bj))*0.5 _d 0 |
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dyU(I,J,bi,bj) = (dyG(I,J,bi,bj)+dyG(I,J-1,bi,bj))*0.5 _d 0 |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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ENDDO |
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ENDDO |
C-- Make a permanent copy of [xGloc,yGloc] in [xG,yG] |
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_EXCH_XY_R4(dxV, myThid ) |
DO J=1-Oly,sNy+Oly |
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_EXCH_XY_R4(dyU, myThid ) |
DO I=1-Olx,sNx+Olx |
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C dxC, dyC is separation between cell centers |
xG(I,J,bi,bj) = xGloc(I,J) |
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DO bj = myByLo(myThid), myByHi(myThid) |
yG(I,J,bi,bj) = yGloc(I,J) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO J=1,sNy |
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DO I=1,sNx |
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dxC(I,J,bi,bj) = (dxF(I,J,bi,bj)+dxF(I-1,J,bi,bj))*0.5 _d 0 |
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dyC(I,J,bi,bj) = (dyF(I,J,bi,bj)+dyF(I,J-1,bi,bj))*0.5 _d 0 |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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ENDDO |
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ENDDO |
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_EXCH_XY_R4(dxC, myThid ) |
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_EXCH_XY_R4(dyC, myThid ) |
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C Calculate vertical face area and trigonometric terms |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO J=1,sNy |
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DO I=1,sNx |
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jG = myYGlobalLo + (bj-1)*sNy + J-1 |
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latS = yc(i,j,bi,bj)-delY(jG)*0.5 _d 0 |
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latN = yc(i,j,bi,bj)+delY(jG)*0.5 _d 0 |
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zA(I,J,bi,bj) = dyF(I,J,bi,bj) |
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& *rSphere*(SIN(latN*deg2rad)-SIN(latS*deg2rad)) |
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tanPhiAtU(i,j,bi,bj)=tan(_yC(i,j,bi,bj)*deg2rad) |
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tanPhiAtV(i,j,bi,bj)=tan(latS*deg2rad) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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_EXCH_XY_R4 (zA , myThid ) |
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_EXCH_XY_R4 (tanPhiAtU , myThid ) |
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_EXCH_XY_R4 (tanPhiAtV , myThid ) |
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C |
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*( |
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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*( |
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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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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 = delX( iGl(I,bi) ) |
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dlat = delY( jGl(J,bj) ) |
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dXF(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
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#ifdef USE_BACKWARD_COMPATIBLE_GRID |
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dXF(I,J,bi,bj) = delX(iGl(I,bi))*deg2rad*rSphere* |
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& COS(yc(I,J,bi,bj)*deg2rad) |
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#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
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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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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*(yGloc(I,J)+yGloc(I+1,J)) |
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dlon = delX( iGl(I,bi) ) |
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dlat = delY( jGl(J,bj) ) |
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dXG(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
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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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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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DO J=1-Oly,sNy+Oly |
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DO I=1-Olx,sNx+Olx |
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dXC(I,J,bi,bj) = 0. |
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dYC(I,J,bi,bj) = 0. |
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dXV(I,J,bi,bj) = 0. |
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dYU(I,J,bi,bj) = 0. |
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rAw(I,J,bi,bj) = 0. |
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rAs(I,J,bi,bj) = 0. |
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ENDDO |
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ENDDO |
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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) = 0.5D0*(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*(delX( iGl(I,bi) ) + delX( iGl(I-1,bi) )) |
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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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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*(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*(delY( jGl(J,bj) ) + delY( jGl(J-1,bj) )) |
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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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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*(dXG(I,J,bi,bj)+dXG(I-1,J,bi,bj)) |
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dYU(I,J,bi,bj) = 0.5*(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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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*(yGloc(I,J)+yGloc(I+1,J)) |
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dlon=delX( iGl(I,bi) ) |
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dlat=delY( jGl(J,bj) ) |
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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)-delY( jGl(J,bj) )*0.5 _d 0 |
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lon=yC(I,J,bi,bj)+delY( jGl(J,bj) )*0.5 _d 0 |
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rA(I,J,bi,bj) = dyF(I,J,bi,bj) |
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& *rSphere*(SIN(lon*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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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*(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*( delX( iGl(I,bi) ) + delX( iGl(I-1,bi) ) ) |
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c dlat=delY( jGl(J,bj) ) |
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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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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=delX( iGl(I,bi) ) |
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dlat=0.5*( delY( jGl(J,bj) ) + delY( jGl(J-1,bj) ) ) |
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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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#ifdef USE_BACKWARD_COMPATIBLE_GRID |
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lon=yC(I,J,bi,bj)-delY( jGl(J,bj) ) |
281 |
|
lat=yC(I,J,bi,bj) |
282 |
|
rAs(I,J,bi,bj) = rSphere*delX(iGl(I,bi))*deg2rad |
283 |
|
& *rSphere*(SIN(lat*deg2rad)-SIN(lon*deg2rad)) |
284 |
|
#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
285 |
|
IF (abs(lat).GT.90..OR.abs(lat-dlat).GT.90.) rAs(I,J,bi,bj)=0. |
286 |
|
ENDDO |
287 |
|
ENDDO |
288 |
|
|
289 |
|
C-- Calculate vertical face area (vorticity points) |
290 |
|
DO J=1-Oly,sNy+Oly |
291 |
|
DO I=1-Olx,sNx+Olx |
292 |
|
C by formula |
293 |
|
lat=yC(I,J,bi,bj) |
294 |
|
dlon=delX( iGl(I,bi) ) |
295 |
|
dlat=0.5*( delY( jGl(J,bj) ) + delY( jGl(J-1,bj) ) ) |
296 |
|
rAz(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad |
297 |
|
& *abs( sin(lat*deg2rad)-sin((lat-dlat)*deg2rad) ) |
298 |
|
IF (abs(lat).GT.90..OR.abs(lat-dlat).GT.90.) rAz(I,J,bi,bj)=0. |
299 |
|
ENDDO |
300 |
|
ENDDO |
301 |
|
|
302 |
|
C-- Calculate trigonometric terms |
303 |
|
DO J=1-Oly,sNy+Oly |
304 |
|
DO I=1-Olx,sNx+Olx |
305 |
|
lat=0.5*(yGloc(I,J)+yGloc(I,J+1)) |
306 |
|
tanPhiAtU(i,j,bi,bj)=tan(lat*deg2rad) |
307 |
|
lat=0.5*(yGloc(I,J)+yGloc(I+1,J)) |
308 |
|
tanPhiAtV(i,j,bi,bj)=tan(lat*deg2rad) |
309 |
|
ENDDO |
310 |
|
ENDDO |
311 |
|
|
312 |
|
ENDDO ! bi |
313 |
|
ENDDO ! bj |
314 |
|
|
315 |
RETURN |
RETURN |
316 |
END |
END |