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jmc |
1.11 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_fluxlimit_adv_r.F,v 1.10 2006/06/18 23:31:35 jmc Exp $ |
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jmc |
1.2 |
C $Name: $ |
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adcroft |
1.1 |
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#include "GAD_OPTIONS.h" |
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adcroft |
1.5 |
CBOP |
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C !ROUTINE: GAD_FLUXLIMIT_ADV_R |
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C !INTERFACE: ========================================================== |
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jmc |
1.10 |
SUBROUTINE GAD_FLUXLIMIT_ADV_R( |
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jmc |
1.9 |
I bi,bj,k,dTarg, |
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jmc |
1.10 |
I rTrans, wFld, |
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adcroft |
1.1 |
I tracer, |
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O wT, |
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I myThid ) |
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adcroft |
1.5 |
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C !DESCRIPTION: |
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C Calculates the area integrated vertical flux due to advection of a tracer |
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C using second-order interpolation with a flux limiter: |
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C \begin{equation*} |
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C F^x_{adv} = W \overline{ \theta }^k |
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C - \frac{1}{2} \left( |
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C [ 1 - \psi(C_r) ] |W| |
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C + W \frac{w \Delta t}{\Delta r_c} \psi(C_r) |
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C \right) \delta_k \theta |
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C \end{equation*} |
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C where the $\psi(C_r)$ is the limiter function and $C_r$ is |
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C the slope ratio. |
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C !USES: =============================================================== |
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adcroft |
1.1 |
IMPLICIT NONE |
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#include "SIZE.h" |
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#include "GRID.h" |
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adcroft |
1.3 |
#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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adcroft |
1.1 |
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adcroft |
1.5 |
C !INPUT PARAMETERS: =================================================== |
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jmc |
1.9 |
C bi,bj :: tile indices |
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edhill |
1.8 |
C k :: vertical level |
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C rTrans :: vertical volume transport |
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jmc |
1.10 |
C wFld :: vertical flow |
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edhill |
1.8 |
C tracer :: tracer field |
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C myThid :: thread number |
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jmc |
1.9 |
INTEGER bi,bj,k |
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adcroft |
1.3 |
_RL dTarg |
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adcroft |
1.1 |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.10 |
_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.9 |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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adcroft |
1.5 |
INTEGER myThid |
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C !OUTPUT PARAMETERS: ================================================== |
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edhill |
1.8 |
C wT :: vertical advective flux |
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adcroft |
1.1 |
_RL wT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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adcroft |
1.5 |
C !LOCAL VARIABLES: ==================================================== |
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edhill |
1.8 |
C i,j :: loop indices |
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C kp1 :: =min( k+1 , Nr ) |
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C km1 :: =max( k-1 , 1 ) |
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C km2 :: =max( k-2 , 1 ) |
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C bi,bj :: tile indices or (1,1) depending on use |
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C Cr :: slope ratio |
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C Rjm,Rj,Rjp :: differences at i-1,i,i+1 |
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jmc |
1.10 |
C wLoc :: velocity, vertical component |
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jmc |
1.9 |
INTEGER i,j,kp1,km1,km2 |
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adcroft |
1.1 |
_RL Cr,Rjm,Rj,Rjp |
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jmc |
1.10 |
_RL wLoc |
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adcroft |
1.5 |
C Statement function provides Limiter(Cr) |
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adcroft |
1.1 |
#include "GAD_FLUX_LIMITER.h" |
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adcroft |
1.5 |
CEOP |
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adcroft |
1.1 |
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km2=MAX(1,k-2) |
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km1=MAX(1,k-1) |
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kp1=MIN(Nr,k+1) |
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IF ( k.GT.Nr) THEN |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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wT(i,j) = 0. |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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jmc |
1.7 |
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jmc |
1.11 |
wLoc = wFld(i,j) |
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c wLoc = rTrans(i,j)*recip_rA(i,j,bi,bj) |
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jmc |
1.9 |
Rjp=(tracer(i,j,kp1)-tracer(i,j,k)) |
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& *maskC(i,j,kp1,bi,bj) |
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Rj= (tracer(i,j,k) -tracer(i,j,kM1)) |
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Rjm=(tracer(i,j,km1)-tracer(i,j,kM2)) |
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& *maskC(i,j,km2,bi,bj) |
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jmc |
1.7 |
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adcroft |
1.1 |
IF (Rj.NE.0.) THEN |
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adcroft |
1.4 |
IF (rTrans(i,j).LT.0.) THEN |
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adcroft |
1.1 |
Cr=Rjm/Rj |
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ELSE |
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Cr=Rjp/Rj |
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ENDIF |
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ELSE |
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adcroft |
1.4 |
IF (rTrans(i,j).LT.0.) THEN |
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adcroft |
1.1 |
Cr=Rjm*1.E20 |
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ELSE |
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Cr=Rjp*1.E20 |
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ENDIF |
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ENDIF |
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Cr=Limiter(Cr) |
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jmc |
1.9 |
wT(i,j) = maskC(i,j,kM1,bi,bj)*( |
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jmc |
1.2 |
& rTrans(i,j)* |
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jmc |
1.9 |
& (tracer(i,j,k)+tracer(i,j,kM1))*0.5 _d 0 |
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jmc |
1.2 |
& +(ABS(rTrans(i,j))*(1-Cr) |
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jmc |
1.10 |
& +rTrans(i,j)*wLoc*dTarg*recip_drC(k) |
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jmc |
1.2 |
& *Cr |
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& )*Rj*0.5 _d 0 ) |
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adcroft |
1.1 |
ENDDO |
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ENDDO |
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ENDIF |
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RETURN |
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END |
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