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C $Header: /u/gcmpack/MITgcm/pkg/layers/layers_fluxcalc.F,v 1.8 2013/02/08 07:56:14 mlosch Exp $ |
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C $Name: $ |
| 3 |
|
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#include "LAYERS_OPTIONS.h" |
| 5 |
#ifdef ALLOW_GMREDI |
| 6 |
#include "GMREDI_OPTIONS.h" |
| 7 |
#endif |
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|
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C-- File layers_fluxcalc.F: |
| 10 |
C-- Contents |
| 11 |
C-- o LAYERS_FLUXCALC |
| 12 |
C-- o LAYERS_LOCATE |
| 13 |
|
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CBOP 0 |
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C !ROUTINE: LAYERS_FLUXCALC |
| 16 |
C !INTERFACE: |
| 17 |
SUBROUTINE LAYERS_FLUXCALC( |
| 18 |
I uVel,vVel,tracer,iLa, |
| 19 |
O UH,VH,Hw,Hs,PIw,PIs,U,V, |
| 20 |
I myThid ) |
| 21 |
|
| 22 |
C !DESCRIPTION: \bv |
| 23 |
C *==========================================================* |
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C | SUBROUTINE LAYERS_FLUXCALC |
| 25 |
C | Calculate the transport in isotracer layers, for a chosen |
| 26 |
C | tracer. This is the meat of the LAYERS package. |
| 27 |
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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#include "LAYERS_SIZE.h" |
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#include "LAYERS.h" |
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#ifdef ALLOW_GMREDI |
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# include "GMREDI.h" |
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#endif |
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|
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C !INPUT PARAMETERS: |
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C myThid :: my Thread Id number |
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C uVel :: zonal velocity (m/s, i=1 held at western face) |
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C vVel :: meridional velocity (m/s, j=1 held at southern face) |
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C tracer :: potential temperature, salt or potential density prho |
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C UH :: U integrated over layer (m^2/s) |
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C VH :: V integrated over layer (m^2/s) |
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C Hw :: Layer thickness at the U point (m) |
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C Hs :: Layer thickness at the V point (m) |
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C PIw :: 1 if layer exists, 0 otherwise (at U point) |
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C PIs :: 1 if layer exists, 0 otherwise (at V point) |
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C U :: average U over layer (m/s) |
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C V :: average V over layer (m/s) |
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C iLa :: layer coordinate index |
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INTEGER myThid |
| 58 |
_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr, nSx,nSy) |
| 59 |
_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr, nSx,nSy) |
| 60 |
_RL tracer (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr, nSx,nSy) |
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_RL UH (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nlayers,nSx,nSy) |
| 62 |
_RL VH (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nlayers,nSx,nSy) |
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_RL Hw (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nlayers,nSx,nSy) |
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_RL Hs (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nlayers,nSx,nSy) |
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_RL PIw (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nlayers,nSx,nSy) |
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_RL PIs (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nlayers,nSx,nSy) |
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_RL U (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nlayers,nSx,nSy) |
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_RL V (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nlayers,nSx,nSy) |
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INTEGER iLa |
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CEOP |
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|
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#ifdef ALLOW_LAYERS |
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|
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C !LOCAL VARIABLES: |
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C bi, bj :: tile indices |
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C i,j :: horizontal indices |
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C k :: vertical index for model grid |
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C kci :: index from CellIndex |
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C kg :: index for looping though layers_bounds |
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C kk :: vertical index for ZZ (fine) grid |
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C kgu,kgv :: vertical index for isopycnal grid |
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C kloc :: local copy of kgu/v to reduce accesses to index arrays |
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C mSteps :: maximum number of steps for bisection method |
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C prho :: potential density referenced to layers_krho pressure |
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C TatU :: temperature at U point |
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C TatV :: temperature at V point |
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|
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INTEGER bi, bj |
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INTEGER i,j,k,kk,kg,kci,kp1,kloc |
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INTEGER mSteps |
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INTEGER kgu(sNx+1,sNy+1), kgv(sNx+1,sNy+1) |
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_RL TatU(sNx+1,sNy+1), TatV(sNx+1,sNy+1) |
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#ifdef ALLOW_GMREDI |
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INTEGER kcip1 |
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_RL delPsi, maskp1 |
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#endif |
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LOGICAL errorFlag |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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C compute maximum number of steps for bisection method (approx. |
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C log2(Nlayers)) as log2(Nlayers) + 1 for safety |
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mSteps = int(log10(dble(Nlayers))/log10(2. _d 0))+1 |
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|
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C --- The tile loops |
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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 Initialize the search indices |
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DO j = 1,sNy+1 |
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DO i = 1,sNx+1 |
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C The temperature index (layer_G) goes from cold to warm. |
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C The water column goes from warm (k=1) to cold (k=Nr). |
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C So initialize the search with the warmest value. |
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kgu(i,j) = Nlayers |
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kgv(i,j) = Nlayers |
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ENDDO |
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ENDDO |
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|
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C Reset the arrays |
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DO kg=1,Nlayers |
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DO j = 1-OLy,sNy+OLy |
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DO i = 1-OLx,sNx+OLx |
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#ifdef LAYERS_UFLUX |
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UH(i,j,kg,bi,bj) = 0. _d 0 |
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#ifdef LAYERS_THICKNESS |
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Hw(i,j,kg,bi,bj) = 0. _d 0 |
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#endif /* LAYERS_THICKNESS */ |
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#endif /* UH */ |
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#ifdef LAYERS_VFLUX |
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VH(i,j,kg,bi,bj) = 0. _d 0 |
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#ifdef LAYERS_THICKNESS |
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Hs(i,j,kg,bi,bj) = 0. _d 0 |
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#endif /* LAYERS_THICKNESS */ |
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#endif /* VH */ |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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DO kk=1,NZZ |
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k = MapIndex(kk) |
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kci = CellIndex(kk) |
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#ifdef ALLOW_GMREDI |
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kcip1 = MIN(kci+1,Nr) |
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maskp1 = 1. |
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IF (kci.GE.Nr) maskp1 = 0. |
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#endif /* ALLOW_GMREDI */ |
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#ifdef LAYERS_UFLUX |
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DO j = 1,sNy+1 |
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DO i = 1,sNx+1 |
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|
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C ------ Find theta at the U point (west) on the fine Z grid |
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kp1=k+1 |
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IF (hFacW(i,j,kp1,bi,bj) .EQ. 0.) kp1=k |
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TatU(i,j) = MapFact(kk) * |
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& 0.5 _d 0 * (tracer(i-1,j,k,bi,bj)+tracer(i,j,k,bi,bj)) + |
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& (1-MapFact(kk)) * |
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& 0.5 _d 0 * (tracer(i-1,j,kp1,bi,bj)+tracer(i,j,kp1,bi,bj)) |
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|
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ENDDO |
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ENDDO |
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C ------ Now that we know T everywhere, determine the binning. |
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C find the layer indices kgu |
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CALL LAYERS_LOCATE( |
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I layers_bounds(1,iLa),Nlayers,mSteps,sNx,sNy,TatU, |
| 167 |
O kgu, |
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I myThid ) |
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#ifndef TARGET_NEC_SX |
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C check for failures |
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IF ( debugLevel .GE. debLevC ) THEN |
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errorFlag = .FALSE. |
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DO j = 1,sNy+1 |
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DO i = 1,sNx+1 |
| 175 |
IF ( kgu(i,j) .LE. 0 ) THEN |
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WRITE(msgBuf,'(2A,I3,A,I3,A,1E14.6)') |
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& 'S/R LAYERS_LOCATE: Could not find a bin in ', |
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& 'layers_bounds for TatU(',i,',',j,',)=',TatU(i,j) |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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errorFlag = .TRUE. |
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ENDIF |
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ENDDO |
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ENDDO |
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IF ( errorFlag ) STOP 'ABNORMAL END: S/R LAYERS_FLUXCALC' |
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ENDIF |
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#endif /* ndef TARGET_NEC_SX */ |
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C |
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DO j = 1,sNy+1 |
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DO i = 1,sNx+1 |
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|
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kloc = kgu(i,j) |
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C ------ Augment the bin values |
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UH(i,j,kloc,bi,bj) = |
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& UH(i,j,kloc,bi,bj) + |
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& dZZf(kk) * uVel(i,j,kci,bi,bj) * hFacW(i,j,kci,bi,bj) |
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|
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#ifdef ALLOW_GMREDI |
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IF ( layers_bolus(iLa) ) THEN |
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IF ( .NOT.GM_AdvForm ) THEN |
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delPsi = 0.25 _d 0 *( |
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& ( rA(i-1,j,bi,bj)*Kwx(i-1,j,kcip1,bi,bj) |
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& +rA( i ,j,bi,bj)*Kwx( i ,j,kcip1,bi,bj) |
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& ) * maskW(i,j,kcip1,bi,bj) * maskp1 |
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& - ( rA(i-1,j,bi,bj)*Kwx(i-1,j, kci ,bi,bj) |
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& +rA( i ,j,bi,bj)*Kwx( i ,j, kci ,bi,bj) |
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& ) * maskW(i,j, kci ,bi,bj) |
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& ) * recip_rAw(i,j,bi,bj) |
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#ifdef GM_BOLUS_ADVEC |
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ELSE |
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delPsi = GM_PsiX(i,j,kcip1,bi,bj)*maskp1 |
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& - GM_PsiX(i,j, kci, bi,bj) |
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#endif |
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ENDIF |
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UH(i,j,kloc,bi,bj) = UH(i,j,kloc,bi,bj) |
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& + delPsi*recip_drF(kci)*_recip_hFacW(i,j,kci,bi,bj) |
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& * dZZf(kk)*hFacW(i,j,kci,bi,bj) |
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ENDIF |
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#endif /* ALLOW_GMREDI */ |
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|
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#ifdef LAYERS_THICKNESS |
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Hw(i,j,kloc,bi,bj) = Hw(i,j,kloc,bi,bj) |
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& + dZZf(kk) * hFacW(i,j,kci,bi,bj) |
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#endif /* LAYERS_THICKNESS */ |
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|
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ENDDO |
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ENDDO |
| 227 |
#endif /* LAYERS_UFLUX */ |
| 228 |
|
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#ifdef LAYERS_VFLUX |
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DO j = 1,sNy+1 |
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DO i = 1,sNx+1 |
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C ------ Find theta at the V point (south) on the fine Z grid |
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kp1=k+1 |
| 234 |
IF (hFacS(i,j,kp1,bi,bj) .EQ. 0.) kp1=k |
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TatV(i,j) = MapFact(kk) * |
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& 0.5 _d 0 * (tracer(i,j-1,k,bi,bj)+tracer(i,j,k,bi,bj)) + |
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& (1-MapFact(kk)) * |
| 238 |
& 0.5 _d 0 * (tracer(i,j-1,kp1,bi,bj)+tracer(i,j,kp1,bi,bj)) |
| 239 |
|
| 240 |
ENDDO |
| 241 |
ENDDO |
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C ------ Now that we know T everywhere, determine the binning. |
| 243 |
C find the layer indices kgv |
| 244 |
CALL LAYERS_LOCATE( |
| 245 |
I layers_bounds(1,iLa),Nlayers,mSteps,sNx,sNy,TatV, |
| 246 |
O kgv, |
| 247 |
I myThid ) |
| 248 |
#ifndef TARGET_NEC_SX |
| 249 |
IF ( debugLevel .GE. debLevC ) THEN |
| 250 |
C check for failures |
| 251 |
errorFlag = .FALSE. |
| 252 |
DO j = 1,sNy+1 |
| 253 |
DO i = 1,sNx+1 |
| 254 |
IF ( kgv(i,j) .LE. 0 ) THEN |
| 255 |
WRITE(msgBuf,'(2A,I3,A,I3,A,1E14.6)') |
| 256 |
& 'S/R LAYERS_LOCATE: Could not find a bin in ', |
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& 'layers_bounds for TatV(',i,',',j,',)=',TatV(i,j) |
| 258 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 259 |
errorFlag = .TRUE. |
| 260 |
ENDIF |
| 261 |
ENDDO |
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ENDDO |
| 263 |
IF ( errorFlag ) STOP 'ABNORMAL END: S/R LAYERS_FLUXCALC' |
| 264 |
ENDIF |
| 265 |
#endif /* ndef TARGET_NEC_SX */ |
| 266 |
C |
| 267 |
DO j = 1,sNy+1 |
| 268 |
DO i = 1,sNx+1 |
| 269 |
|
| 270 |
kloc = kgv(i,j) |
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C ------ Augment the bin values |
| 272 |
VH(i,j,kloc,bi,bj) = |
| 273 |
& VH(i,j,kloc,bi,bj) |
| 274 |
& + dZZf(kk) * vVel(i,j,kci,bi,bj) * hFacS(i,j,kci,bi,bj) |
| 275 |
|
| 276 |
#ifdef ALLOW_GMREDI |
| 277 |
IF ( layers_bolus(iLa) ) THEN |
| 278 |
IF ( .NOT.GM_AdvForm ) THEN |
| 279 |
delPsi = 0.25 _d 0 *( |
| 280 |
& ( rA(i,j-1,bi,bj)*Kwy(i,j-1,kcip1,bi,bj) |
| 281 |
& +rA(i, j ,bi,bj)*Kwy(i, j ,kcip1,bi,bj) |
| 282 |
& ) * maskS(i,j,kcip1,bi,bj) * maskp1 |
| 283 |
& - ( rA(i,j-1,bi,bj)*Kwy(i,j-1, kci ,bi,bj) |
| 284 |
& +rA(i, j ,bi,bj)*Kwy(i, j , kci ,bi,bj) |
| 285 |
& ) * maskS(i,j, kci ,bi,bj) |
| 286 |
& ) * recip_rAs(i,j,bi,bj) |
| 287 |
#ifdef GM_BOLUS_ADVEC |
| 288 |
ELSE |
| 289 |
delPsi = GM_PsiY(i,j,kcip1,bi,bj)*maskp1 |
| 290 |
& - GM_PsiY(i,j, kci, bi,bj) |
| 291 |
#endif |
| 292 |
ENDIF |
| 293 |
VH(i,j,kloc,bi,bj) = VH(i,j,kloc,bi,bj) |
| 294 |
& + delPsi*recip_drF(kci)*_recip_hFacS(i,j,kci,bi,bj) |
| 295 |
& * dZZf(kk)*hFacS(i,j,kci,bi,bj) |
| 296 |
ENDIF |
| 297 |
#endif /* ALLOW_GMREDI */ |
| 298 |
|
| 299 |
#ifdef LAYERS_THICKNESS |
| 300 |
Hs(i,j,kloc,bi,bj) = Hs(i,j,kloc,bi,bj) |
| 301 |
& + dZZf(kk) * hFacS(i,j,kci,bi,bj) |
| 302 |
#endif /* LAYERS_THICKNESS */ |
| 303 |
|
| 304 |
ENDDO |
| 305 |
ENDDO |
| 306 |
#endif /* LAYERS_VFLUX */ |
| 307 |
ENDDO |
| 308 |
|
| 309 |
C-- Now that we know the thicknesses, compute the heaviside function |
| 310 |
C-- (Needs another loop through Ng) |
| 311 |
#ifdef LAYERS_THICKNESS |
| 312 |
DO kg=1,Nlayers |
| 313 |
DO j = 1,sNy+1 |
| 314 |
DO i = 1,sNx+1 |
| 315 |
#ifdef LAYERS_UFLUX |
| 316 |
IF (Hw(i,j,kg,bi,bj) .GT. 0.) THEN |
| 317 |
PIw(i,j,kg,bi,bj) = 1. _d 0 |
| 318 |
U(i,j,kg,bi,bj) = |
| 319 |
& UH(i,j,kg,bi,bj) / Hw(i,j,kg,bi,bj) |
| 320 |
ENDIF |
| 321 |
#endif /* LAYERS_UFLUX */ |
| 322 |
#ifdef LAYERS_VFLUX |
| 323 |
IF (Hs(i,j,kg,bi,bj) .GT. 0.) THEN |
| 324 |
PIs(i,j,kg,bi,bj) = 1. _d 0 |
| 325 |
V(i,j,kg,bi,bj) = |
| 326 |
& VH(i,j,kg,bi,bj) / Hs(i,j,kg,bi,bj) |
| 327 |
ENDIF |
| 328 |
#endif /* LAYERS_VFLUX */ |
| 329 |
ENDDO |
| 330 |
ENDDO |
| 331 |
ENDDO |
| 332 |
#endif /* LAYERS_THICKNESS */ |
| 333 |
|
| 334 |
C --- End bi,bj loop |
| 335 |
ENDDO |
| 336 |
ENDDO |
| 337 |
|
| 338 |
RETURN |
| 339 |
END |
| 340 |
|
| 341 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 342 |
|
| 343 |
CBOP |
| 344 |
SUBROUTINE LAYERS_LOCATE( |
| 345 |
I xx,n,m,sNx,sNy,x, |
| 346 |
O k, |
| 347 |
I myThid ) |
| 348 |
|
| 349 |
C !DESCRIPTION: \bv |
| 350 |
C *==========================================================* |
| 351 |
C | Find the index(-array) k such that x is between xx(k) |
| 352 |
C | and xx(k+1) by bisection, following Press et al., |
| 353 |
C | Numerical Recipes in Fortran. xx must be monotonic. |
| 354 |
C *==========================================================* |
| 355 |
C \ev |
| 356 |
|
| 357 |
C !USES: |
| 358 |
IMPLICIT NONE |
| 359 |
C !INPUT PARAMETERS: |
| 360 |
C xx :: array of bin-boundaries (layers_boundaries) |
| 361 |
C n :: length of xx |
| 362 |
C m :: int(log2(n)) + 1 = length of bisection loop |
| 363 |
C sNx,sNy :: size of index array and input x |
| 364 |
C x :: input array of values |
| 365 |
C k :: index array (output) |
| 366 |
C myThid :: my Thread Id number |
| 367 |
INTEGER n,m,sNx,sNy |
| 368 |
_RL xx(1:n+1) |
| 369 |
_RL x(snx+1,sny+1) |
| 370 |
INTEGER k(snx+1,sny+1) |
| 371 |
INTEGER myThid |
| 372 |
|
| 373 |
C !LOCAL VARIABLES: |
| 374 |
C i,j :: horizontal indices |
| 375 |
C l :: bisection loop index |
| 376 |
C kl,ku,km :: work arrays and variables |
| 377 |
INTEGER i,j |
| 378 |
CEOP |
| 379 |
#ifdef TARGET_NEC_SX |
| 380 |
INTEGER l, km |
| 381 |
INTEGER kl(sNx+1,sNy+1), ku(sNx+1,sNy+1) |
| 382 |
|
| 383 |
C bisection, following Press et al., Numerical Recipes in Fortran, |
| 384 |
C mostly, because it can be vectorized |
| 385 |
DO j = 1,sNy+1 |
| 386 |
DO i = 1,sNx+1 |
| 387 |
kl(i,j)=1 |
| 388 |
ku(i,j)=n+1 |
| 389 |
END DO |
| 390 |
END DO |
| 391 |
DO l = 1,m |
| 392 |
DO j = 1,sNy+1 |
| 393 |
DO i = 1,sNx+1 |
| 394 |
IF (ku(i,j)-kl(i,j).GT.1) THEN |
| 395 |
km=(ku(i,j)+kl(i,j))/2 |
| 396 |
CML IF ((xx(n).GE.xx(1)).EQV.(x(i,j).GE.xx(km))) THEN |
| 397 |
IF ( ((xx(n).GE.xx(1)).AND.(x(i,j).GE.xx(km))).OR. |
| 398 |
& ((xx(n).GE.xx(1)).AND.(x(i,j).GE.xx(km))) ) THEN |
| 399 |
kl(i,j)=km |
| 400 |
ELSE |
| 401 |
ku(i,j)=km |
| 402 |
END IF |
| 403 |
END IF |
| 404 |
END DO |
| 405 |
END DO |
| 406 |
END DO |
| 407 |
DO j = 1,sNy+1 |
| 408 |
DO i = 1,sNx+1 |
| 409 |
IF ( x(i,j).LT.xx(2) ) THEN |
| 410 |
k(i,j)=1 |
| 411 |
ELSE IF ( x(i,j).GE.xx(n) ) THEN |
| 412 |
k(i,j)=n |
| 413 |
ELSE |
| 414 |
k(i,j)=kl(i,j) |
| 415 |
END IF |
| 416 |
END DO |
| 417 |
END DO |
| 418 |
#else |
| 419 |
C the old way |
| 420 |
DO j = 1,sNy+1 |
| 421 |
DO i = 1,sNx+1 |
| 422 |
IF (x(i,j) .GE. xx(n)) THEN |
| 423 |
C the point is in the hottest bin or hotter |
| 424 |
k(i,j) = n |
| 425 |
ELSE IF (x(i,j) .LT. xx(2)) THEN |
| 426 |
C the point is in the coldest bin or colder |
| 427 |
k(i,j) = 1 |
| 428 |
ELSE IF ( (x(i,j) .GE. xx(k(i,j))) |
| 429 |
& .AND. (x(i,j) .LT. xx(k(i,j)+1)) ) THEN |
| 430 |
C already on the right bin -- do nothing |
| 431 |
ELSE IF (x(i,j) .GE. xx(k(i,j))) THEN |
| 432 |
C have to hunt for the right bin by getting hotter |
| 433 |
DO WHILE (x(i,j) .GE. xx(k(i,j)+1)) |
| 434 |
k(i,j) = k(i,j) + 1 |
| 435 |
ENDDO |
| 436 |
C now xx(k) < x <= xx(k+1) |
| 437 |
ELSE IF (x(i,j) .LT. xx(k(i,j)+1)) THEN |
| 438 |
C have to hunt for the right bin by getting colder |
| 439 |
DO WHILE (x(i,j) .LT. xx(k(i,j))) |
| 440 |
k(i,j) = k(i,j) - 1 |
| 441 |
ENDDO |
| 442 |
C now xx(k) <= x < xx(k+1) |
| 443 |
ELSE |
| 444 |
C that should have covered all the options |
| 445 |
k(i,j) = -1 |
| 446 |
ENDIF |
| 447 |
|
| 448 |
ENDDO |
| 449 |
ENDDO |
| 450 |
#endif /* TARGET_NEC_SX */ |
| 451 |
|
| 452 |
#endif /* ALLOW_LAYERS */ |
| 453 |
|
| 454 |
RETURN |
| 455 |
END |
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