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jmc |
1.8 |
C $Header: /u/gcmpack/models/MITgcmUV/pkg/gmredi/gmredi_calc_tensor.F,v 1.7 2001/08/21 15:27:19 heimbach Exp $ |
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C $Name: $ |
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adcroft |
1.1 |
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#include "GMREDI_OPTIONS.h" |
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CStartOfInterface |
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SUBROUTINE GMREDI_CALC_TENSOR( |
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jmc |
1.9 |
I bi, bj, iMin, iMax, jMin, jMax, |
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adcroft |
1.1 |
I sigmaX, sigmaY, sigmaR, |
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I myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE GMREDI_CALC_TENSOR | |
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C | o Calculate tensor elements for GM/Redi tensor. | |
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C |==========================================================| |
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C \==========================================================/ |
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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 "GRID.h" |
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#include "DYNVARS.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GMREDI.h" |
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#include "GMREDI_DIAGS.h" |
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C == Routine arguments == |
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C |
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_RL sigmaX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL sigmaY(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL sigmaR(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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jmc |
1.9 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
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adcroft |
1.1 |
INTEGER myThid |
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CEndOfInterface |
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#ifdef ALLOW_GMREDI |
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C == Local variables == |
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jmc |
1.9 |
INTEGER i,j,k,km1,kp1 |
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adcroft |
1.1 |
_RL SlopeX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL SlopeY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dSigmaDrReal(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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jmc |
1.8 |
_RL SlopeSqr(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL taperFct(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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jmc |
1.9 |
_RL maskp1, Kgm_tmp |
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adcroft |
1.1 |
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#ifdef GM_VISBECK_VARIABLE_K |
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_RS deltaH,zero_rs |
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PARAMETER(zero_rs=0.) |
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_RL N2,SN |
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jmc |
1.8 |
_RL Ssq |
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adcroft |
1.1 |
#endif |
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jmc |
1.9 |
DO k=2,Nr |
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C-- 1rst loop on k : compute Tensor Coeff. at W points. |
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c km1 = MAX(1,k-1) |
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adcroft |
1.1 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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!HPF$ INDEPENDENT |
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#endif |
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DO j=1-Oly+1,sNy+Oly-1 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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!HPF$ INDEPENDENT |
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#endif |
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DO i=1-Olx+1,sNx+Olx-1 |
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C Gradient of Sigma at rVel points |
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jmc |
1.9 |
SlopeX(i,j)=0.25*( sigmaX(i+1, j ,k-1) +sigmaX(i,j,k-1) |
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adcroft |
1.1 |
& +sigmaX(i+1, j , k ) +sigmaX(i,j, k ) ) |
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jmc |
1.8 |
& *maskC(i,j,k,bi,bj) |
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jmc |
1.9 |
SlopeY(i,j)=0.25*( sigmaY( i ,j+1,k-1) +sigmaY(i,j,k-1) |
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adcroft |
1.1 |
& +sigmaY( i ,j+1, k ) +sigmaY(i,j, k ) ) |
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jmc |
1.8 |
& *maskC(i,j,k,bi,bj) |
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adcroft |
1.1 |
dSigmaDrReal(i,j)=sigmaR(i,j,k) |
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ENDDO |
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ENDDO |
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C Calculate slopes for use in tensor, taper and/or clip |
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CALL GMREDI_SLOPE_LIMIT( |
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jmc |
1.9 |
U dSigmadRReal, |
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adcroft |
1.1 |
I rF(K), |
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U SlopeX, SlopeY, |
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jmc |
1.8 |
O SlopeSqr, taperFct, |
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adcroft |
1.1 |
I bi, bj, myThid ) |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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C Mask Iso-neutral slopes |
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jmc |
1.8 |
SlopeX(i,j)=SlopeX(i,j)*maskC(i,j,k,bi,bj) |
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SlopeY(i,j)=SlopeY(i,j)*maskC(i,j,k,bi,bj) |
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SlopeSqr(i,j)=SlopeSqr(i,j)*maskC(i,j,k,bi,bj) |
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c Ssq=SlopeX(i,j)*SlopeX(i,j)+SlopeY(i,j)*SlopeY(i,j) |
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adcroft |
1.1 |
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jmc |
1.9 |
C Components of Redi/GM tensor |
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Kwx(i,j,k,bi,bj)= SlopeX(i,j)*taperFct(i,j) |
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Kwy(i,j,k,bi,bj)= SlopeY(i,j)*taperFct(i,j) |
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jmc |
1.8 |
Kwz(i,j,k,bi,bj)= SlopeSqr(i,j)*taperFct(i,j) |
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adcroft |
1.1 |
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#ifdef GM_VISBECK_VARIABLE_K |
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jmc |
1.8 |
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C- note (jmc) : moved here since only used in VISBECK_VARIABLE_K |
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C but don't know if *taperFct (or **2 ?) is necessary |
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Ssq=SlopeSqr(i,j)*taperFct(i,j) |
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adcroft |
1.1 |
C-- Depth average of M^2/N^2 * N |
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C Calculate terms for mean Richardson number |
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C which is used in the "variable K" parameterisaton. |
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C Distance between interface above layer and the integration depth |
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deltaH=abs(GM_Visbeck_depth)-abs(rF(k)) |
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C If positive we limit this to the layer thickness |
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deltaH=min(deltaH,drF(k)) |
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C If negative then we are below the integration level |
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deltaH=max(deltaH,zero_rs) |
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C Now we convert deltaH to a non-dimensional fraction |
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deltaH=deltaH/GM_Visbeck_depth |
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jmc |
1.8 |
IF (K.eq.2) VisbeckK(i,j,bi,bj)=0. |
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IF (Ssq.NE.0.) THEN |
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N2= -Gravity*recip_Rhonil*dSigmaDrReal(i,j) |
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adcroft |
1.1 |
SN=sqrt(Ssq*N2) |
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heimbach |
1.3 |
VisbeckK(i,j,bi,bj)=VisbeckK(i,j,bi,bj)+deltaH |
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adcroft |
1.1 |
& *GM_Visbeck_alpha*GM_Visbeck_length*GM_Visbeck_length*SN |
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jmc |
1.8 |
ENDIF |
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adcroft |
1.1 |
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jmc |
1.9 |
#endif /* GM_VISBECK_VARIABLE_K */ |
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ENDDO |
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ENDDO |
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C-- end 1rst loop on vertical level index k |
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ENDDO |
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adcroft |
1.1 |
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jmc |
1.9 |
#ifdef GM_VISBECK_VARIABLE_K |
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IF ( GM_Visbeck_alpha.NE.0. ) THEN |
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C- Limit range that KapGM can take |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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VisbeckK(i,j,bi,bj)= |
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& MIN(VisbeckK(i,j,bi,bj),GM_Visbeck_maxval_K) |
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#ifdef ALLOW_TIMEAVE |
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Visbeck_K_T(i,j,bi,bj)=Visbeck_K_T(i,j,bi,bj) |
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& +VisbeckK(i,j,bi,bj)*deltaTclock |
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#endif |
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ENDDO |
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ENDDO |
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ENDIF |
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adcroft |
1.1 |
#endif /* GM_VISBECK_VARIABLE_K */ |
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jmc |
1.9 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C-- 2nd loop on k : compute Tensor Coeff. at U,V levels. |
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DO k=1,Nr |
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kp1 = MIN(Nr,k+1) |
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maskp1 = 1. _d 0 |
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IF (k.GE.Nr) maskp1 = 0. _d 0 |
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C- express the Tensor in term of Diffusivity (= m**2 / s ) |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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Kgm_tmp = GM_isopycK + GM_skewflx*GM_background_K |
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#ifdef GM_VISBECK_VARIABLE_K |
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& + VisbeckK(i,j,bi,bj)*(1.+GM_skewflx) |
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#endif |
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Kwx(i,j,k,bi,bj)= Kgm_tmp*Kwx(i,j,k,bi,bj) |
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Kwy(i,j,k,bi,bj)= Kgm_tmp*Kwy(i,j,k,bi,bj) |
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Kwz(i,j,k,bi,bj)= ( GM_isopycK |
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adcroft |
1.1 |
#ifdef GM_VISBECK_VARIABLE_K |
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jmc |
1.9 |
& + VisbeckK(i,j,bi,bj) |
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adcroft |
1.1 |
#endif |
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jmc |
1.9 |
& )*Kwz(i,j,k,bi,bj) |
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adcroft |
1.1 |
ENDDO |
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ENDDO |
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adcroft |
1.4 |
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jmc |
1.9 |
#if ( defined (GM_NON_UNITY_DIAGONAL) || defined (GM_EXTRA_DIAGONAL) ) |
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adcroft |
1.1 |
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C Gradient of Sigma at U points |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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jmc |
1.9 |
SlopeX(i,j)=sigmaX(i,j,k) |
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adcroft |
1.1 |
& *_maskW(i,j,k,bi,bj) |
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SlopeY(i,j)=0.25*( sigmaY(i-1,j+1,k) +sigmaY(i,j+1,k) |
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& +sigmaY(i-1, j ,k) +sigmaY(i, j ,k) ) |
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& *_maskW(i,j,k,bi,bj) |
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dSigmaDrReal(i,j)=0.25*( sigmaR(i-1,j, k ) +sigmaR(i,j, k ) |
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jmc |
1.9 |
& +maskp1*(sigmaR(i-1,j,kp1) +sigmaR(i,j,kp1)) ) |
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adcroft |
1.1 |
& *_maskW(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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C Calculate slopes for use in tensor, taper and/or clip |
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CALL GMREDI_SLOPE_LIMIT( |
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jmc |
1.9 |
U dSigmadRReal, |
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adcroft |
1.1 |
I rF(K), |
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U SlopeX, SlopeY, |
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jmc |
1.8 |
O SlopeSqr, taperFct, |
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adcroft |
1.1 |
I bi, bj, myThid ) |
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jmc |
1.9 |
#ifdef GM_NON_UNITY_DIAGONAL |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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Kux(i,j,k,bi,bj) = |
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& ( GM_isopycK |
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#ifdef GM_VISBECK_VARIABLE_K |
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& +0.5*(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj)) |
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#endif |
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& )*taperFct(i,j) |
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Kux(i,j,k,bi,bj) = MAX( Kux(i,j,k,bi,bj), GM_Kmin_horiz ) |
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ENDDO |
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ENDDO |
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#endif /* GM_NON_UNITY_DIAGONAL */ |
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#ifdef GM_EXTRA_DIAGONAL |
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IF (GM_ExtraDiag) THEN |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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Kuz(i,j,k,bi,bj) = |
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& ( GM_isopycK - GM_skewflx*GM_background_K |
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#ifdef GM_VISBECK_VARIABLE_K |
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& +0.5*(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj))*GM_advect |
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#endif |
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& )*SlopeX(i,j)*taperFct(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* GM_EXTRA_DIAGONAL */ |
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adcroft |
1.1 |
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C Gradient of Sigma at V points |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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SlopeX(i,j)=0.25*( sigmaX(i, j ,k) +sigmaX(i+1, j ,k) |
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& +sigmaX(i,j-1,k) +sigmaX(i+1,j-1,k) ) |
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& *_maskS(i,j,k,bi,bj) |
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jmc |
1.9 |
SlopeY(i,j)=sigmaY(i,j,k) |
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adcroft |
1.1 |
& *_maskS(i,j,k,bi,bj) |
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dSigmaDrReal(i,j)=0.25*( sigmaR(i,j-1, k ) +sigmaR(i,j, k ) |
| 240 |
jmc |
1.9 |
& +maskp1*(sigmaR(i,j-1,kp1) +sigmaR(i,j,kp1)) ) |
| 241 |
adcroft |
1.1 |
& *_maskS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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| 245 |
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C Calculate slopes for use in tensor, taper and/or clip |
| 246 |
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CALL GMREDI_SLOPE_LIMIT( |
| 247 |
jmc |
1.9 |
U dSigmadRReal, |
| 248 |
adcroft |
1.1 |
I rF(K), |
| 249 |
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U SlopeX, SlopeY, |
| 250 |
jmc |
1.8 |
O SlopeSqr, taperFct, |
| 251 |
adcroft |
1.1 |
I bi, bj, myThid ) |
| 252 |
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| 253 |
jmc |
1.9 |
#ifdef GM_NON_UNITY_DIAGONAL |
| 254 |
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DO j=1-Oly+1,sNy+Oly-1 |
| 255 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 256 |
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Kvy(i,j,k,bi,bj) = |
| 257 |
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& ( GM_isopycK |
| 258 |
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#ifdef GM_VISBECK_VARIABLE_K |
| 259 |
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& +0.5*(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj)) |
| 260 |
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#endif |
| 261 |
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& )*taperFct(i,j) |
| 262 |
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Kvy(i,j,k,bi,bj) = MAX( Kvy(i,j,k,bi,bj), GM_Kmin_horiz ) |
| 263 |
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ENDDO |
| 264 |
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ENDDO |
| 265 |
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#endif /* GM_NON_UNITY_DIAGONAL */ |
| 266 |
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| 267 |
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#ifdef GM_EXTRA_DIAGONAL |
| 268 |
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IF (GM_ExtraDiag) THEN |
| 269 |
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DO j=1-Oly+1,sNy+Oly-1 |
| 270 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 271 |
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Kvz(i,j,k,bi,bj) = |
| 272 |
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& ( GM_isopycK - GM_skewflx*GM_background_K |
| 273 |
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#ifdef GM_VISBECK_VARIABLE_K |
| 274 |
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& +0.5*(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj))*GM_advect |
| 275 |
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#endif |
| 276 |
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& )*SlopeY(i,j)*taperFct(i,j) |
| 277 |
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ENDDO |
| 278 |
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ENDDO |
| 279 |
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ENDIF |
| 280 |
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#endif /* GM_EXTRA_DIAGONAL */ |
| 281 |
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| 282 |
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#endif /* GM_NON_UNITY_DIAGONAL || GM_EXTRA_DIAGONAL */ |
| 283 |
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| 284 |
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#ifdef ALLOW_TIMEAVE |
| 285 |
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C-- Time-average |
| 286 |
adcroft |
1.1 |
DO j=1-Oly+1,sNy+Oly-1 |
| 287 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 288 |
jmc |
1.9 |
GM_Kwx_T(i,j,k,bi,bj)=GM_Kwx_T(i,j,k,bi,bj) |
| 289 |
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& +Kwx(i,j,k,bi,bj)*deltaTclock |
| 290 |
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GM_Kwy_T(i,j,k,bi,bj)=GM_Kwy_T(i,j,k,bi,bj) |
| 291 |
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& +Kwy(i,j,k,bi,bj)*deltaTclock |
| 292 |
|
|
GM_Kwz_T(i,j,k,bi,bj)=GM_Kwz_T(i,j,k,bi,bj) |
| 293 |
|
|
& +Kwz(i,j,k,bi,bj)*deltaTclock |
| 294 |
adcroft |
1.1 |
ENDDO |
| 295 |
|
|
ENDDO |
| 296 |
jmc |
1.9 |
GM_TimeAve(k,bi,bj)=GM_TimeAve(k,bi,bj)+deltaTclock |
| 297 |
|
|
#endif /* ALLOW_TIMEAVE */ |
| 298 |
adcroft |
1.1 |
|
| 299 |
jmc |
1.9 |
C-- end 2nd loop on vertical level index k |
| 300 |
|
|
ENDDO |
| 301 |
adcroft |
1.1 |
|
| 302 |
|
|
|
| 303 |
jmc |
1.9 |
#ifdef GM_BOLUS_ADVEC |
| 304 |
|
|
IF (GM_AdvForm) THEN |
| 305 |
|
|
CALL GMREDI_CALC_PSI_B( |
| 306 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, |
| 307 |
|
|
I sigmaX, sigmaY, sigmaR, |
| 308 |
|
|
I myThid ) |
| 309 |
|
|
ENDIF |
| 310 |
|
|
#endif |
| 311 |
adcroft |
1.1 |
|
| 312 |
|
|
#endif /* ALLOW_GMREDI */ |
| 313 |
|
|
|
| 314 |
|
|
RETURN |
| 315 |
|
|
END |
| 316 |
heimbach |
1.2 |
|
| 317 |
|
|
|
| 318 |
|
|
SUBROUTINE GMREDI_CALC_TENSOR_DUMMY( |
| 319 |
jmc |
1.9 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 320 |
heimbach |
1.2 |
I sigmaX, sigmaY, sigmaR, |
| 321 |
|
|
I myThid ) |
| 322 |
|
|
C /==========================================================\ |
| 323 |
|
|
C | SUBROUTINE GMREDI_CALC_TENSOR | |
| 324 |
|
|
C | o Calculate tensor elements for GM/Redi tensor. | |
| 325 |
|
|
C |==========================================================| |
| 326 |
|
|
C \==========================================================/ |
| 327 |
|
|
IMPLICIT NONE |
| 328 |
|
|
|
| 329 |
|
|
C == Global variables == |
| 330 |
|
|
#include "SIZE.h" |
| 331 |
|
|
#include "GRID.h" |
| 332 |
|
|
#include "DYNVARS.h" |
| 333 |
|
|
#include "EEPARAMS.h" |
| 334 |
|
|
#include "PARAMS.h" |
| 335 |
|
|
#include "GMREDI.h" |
| 336 |
|
|
|
| 337 |
|
|
C == Routine arguments == |
| 338 |
|
|
C |
| 339 |
|
|
_RL sigmaX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 340 |
|
|
_RL sigmaY(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 341 |
|
|
_RL sigmaR(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 342 |
jmc |
1.9 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 343 |
heimbach |
1.2 |
INTEGER myThid |
| 344 |
|
|
CEndOfInterface |
| 345 |
|
|
|
| 346 |
jmc |
1.9 |
INTEGER i, j, k |
| 347 |
heimbach |
1.2 |
|
| 348 |
|
|
#ifdef ALLOW_GMREDI |
| 349 |
|
|
|
| 350 |
jmc |
1.9 |
DO k=1,Nr |
| 351 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 352 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 353 |
|
|
Kwx(i,j,k,bi,bj) = 0.0 |
| 354 |
|
|
Kwy(i,j,k,bi,bj) = 0.0 |
| 355 |
|
|
Kwz(i,j,k,bi,bj) = 0.0 |
| 356 |
|
|
ENDDO |
| 357 |
heimbach |
1.2 |
ENDDO |
| 358 |
|
|
ENDDO |
| 359 |
|
|
#endif /* ALLOW_GMREDI */ |
| 360 |
|
|
|
| 361 |
jmc |
1.9 |
RETURN |
| 362 |
|
|
END |
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