| 1 |
heimbach |
1.6 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_fluxlimit_adv_x.F,v 1.5 2004/09/24 16:53:45 jmc Exp $ |
| 2 |
jmc |
1.2 |
C $Name: $ |
| 3 |
adcroft |
1.1 |
|
| 4 |
|
|
#include "GAD_OPTIONS.h" |
| 5 |
|
|
|
| 6 |
adcroft |
1.3 |
CBOP |
| 7 |
|
|
C !ROUTINE: GAD_FLUXLIMIT_ADV_X |
| 8 |
|
|
|
| 9 |
|
|
C !INTERFACE: ========================================================== |
| 10 |
adcroft |
1.1 |
SUBROUTINE GAD_FLUXLIMIT_ADV_X( |
| 11 |
heimbach |
1.6 |
I bi,bj,k,deltaTloc, |
| 12 |
adcroft |
1.1 |
I uTrans, uVel, |
| 13 |
jmc |
1.5 |
I maskLocW, tracer, |
| 14 |
adcroft |
1.1 |
O uT, |
| 15 |
|
|
I myThid ) |
| 16 |
adcroft |
1.3 |
|
| 17 |
|
|
C !DESCRIPTION: |
| 18 |
|
|
C Calculates the area integrated zonal flux due to advection of a tracer |
| 19 |
|
|
C using second-order interpolation with a flux limiter: |
| 20 |
|
|
C \begin{equation*} |
| 21 |
|
|
C F^x_{adv} = U \overline{ \theta }^i |
| 22 |
|
|
C - \frac{1}{2} \left( |
| 23 |
|
|
C [ 1 - \psi(C_r) ] |U| |
| 24 |
|
|
C + U \frac{u \Delta t}{\Delta x_c} \psi(C_r) |
| 25 |
|
|
C \right) \delta_i \theta |
| 26 |
|
|
C \end{equation*} |
| 27 |
|
|
C where the $\psi(C_r)$ is the limiter function and $C_r$ is |
| 28 |
|
|
C the slope ratio. |
| 29 |
|
|
|
| 30 |
|
|
C !USES: =============================================================== |
| 31 |
adcroft |
1.1 |
IMPLICIT NONE |
| 32 |
|
|
#include "SIZE.h" |
| 33 |
|
|
#include "GRID.h" |
| 34 |
|
|
|
| 35 |
adcroft |
1.3 |
C !INPUT PARAMETERS: =================================================== |
| 36 |
|
|
C bi,bj :: tile indices |
| 37 |
|
|
C k :: vertical level |
| 38 |
|
|
C uTrans :: zonal volume transport |
| 39 |
|
|
C uVel :: zonal flow |
| 40 |
|
|
C tracer :: tracer field |
| 41 |
|
|
C myThid :: thread number |
| 42 |
adcroft |
1.1 |
INTEGER bi,bj,k |
| 43 |
heimbach |
1.6 |
_RL deltaTloc |
| 44 |
adcroft |
1.1 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 45 |
|
|
_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 46 |
jmc |
1.5 |
_RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 47 |
adcroft |
1.1 |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 48 |
adcroft |
1.3 |
INTEGER myThid |
| 49 |
|
|
|
| 50 |
|
|
C !OUTPUT PARAMETERS: ================================================== |
| 51 |
|
|
C uT :: zonal advective flux |
| 52 |
adcroft |
1.1 |
_RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 53 |
|
|
|
| 54 |
adcroft |
1.3 |
C !LOCAL VARIABLES: ==================================================== |
| 55 |
|
|
C i,j :: loop indices |
| 56 |
|
|
C Cr :: slope ratio |
| 57 |
|
|
C Rjm,Rj,Rjp :: differences at i-1,i,i+1 |
| 58 |
jmc |
1.4 |
C uFld :: velocity [m/s], zonal component |
| 59 |
adcroft |
1.1 |
INTEGER i,j |
| 60 |
|
|
_RL Cr,Rjm,Rj,Rjp |
| 61 |
jmc |
1.4 |
_RL uFld |
| 62 |
adcroft |
1.3 |
C Statement function provides Limiter(Cr) |
| 63 |
adcroft |
1.1 |
#include "GAD_FLUX_LIMITER.h" |
| 64 |
adcroft |
1.3 |
CEOP |
| 65 |
adcroft |
1.1 |
|
| 66 |
|
|
DO j=1-Oly,sNy+Oly |
| 67 |
|
|
uT(1-Olx,j)=0. |
| 68 |
jmc |
1.2 |
uT(2-Olx,j)=0. |
| 69 |
|
|
uT(sNx+Olx,j)=0. |
| 70 |
|
|
DO i=1-Olx+2,sNx+Olx-1 |
| 71 |
jmc |
1.4 |
|
| 72 |
|
|
c uFld = uVel(i,j,k,bi,bj) |
| 73 |
|
|
uFld = uTrans(i,j)*recip_dyG(i,j,bi,bj) |
| 74 |
|
|
& *recip_drF(k)*recip_hFacW(i,j,k,bi,bj) |
| 75 |
jmc |
1.5 |
Rjp=(tracer(i+1,j)-tracer( i ,j))*maskLocW(i+1,j) |
| 76 |
|
|
Rj =(tracer( i ,j)-tracer(i-1,j))*maskLocW( i ,j) |
| 77 |
|
|
Rjm=(tracer(i-1,j)-tracer(i-2,j))*maskLocW(i-1,j) |
| 78 |
jmc |
1.4 |
|
| 79 |
adcroft |
1.1 |
IF (Rj.NE.0.) THEN |
| 80 |
|
|
IF (uTrans(i,j).GT.0) THEN |
| 81 |
|
|
Cr=Rjm/Rj |
| 82 |
|
|
ELSE |
| 83 |
|
|
Cr=Rjp/Rj |
| 84 |
|
|
ENDIF |
| 85 |
|
|
ELSE |
| 86 |
|
|
IF (uTrans(i,j).GT.0) THEN |
| 87 |
|
|
Cr=Rjm*1.E20 |
| 88 |
|
|
ELSE |
| 89 |
|
|
Cr=Rjp*1.E20 |
| 90 |
|
|
ENDIF |
| 91 |
|
|
ENDIF |
| 92 |
|
|
Cr=Limiter(Cr) |
| 93 |
|
|
uT(i,j) = |
| 94 |
|
|
& uTrans(i,j)*(Tracer(i,j)+Tracer(i-1,j))*0.5 _d 0 |
| 95 |
|
|
& -0.5*( |
| 96 |
|
|
& (1-Cr)*ABS(uTrans(i,j)) |
| 97 |
heimbach |
1.6 |
& +uTrans(i,j)*uFld*deltaTloc |
| 98 |
adcroft |
1.1 |
& *recip_dxC(i,j,bi,bj)*Cr |
| 99 |
|
|
& )*Rj |
| 100 |
|
|
ENDDO |
| 101 |
|
|
ENDDO |
| 102 |
|
|
|
| 103 |
|
|
RETURN |
| 104 |
|
|
END |
Parent Directory
| 
Revision Log
| 
Revision Graph