| 1 |
adcroft |
1.4 |
C $Header: /u/gcmpack/models/MITgcmUV/pkg/generic_advdiff/gad_c4_adv_x.F,v 1.3 2001/08/20 20:45:15 jmc Exp $ |
| 2 |
jmc |
1.2 |
C $Name: $ |
| 3 |
adcroft |
1.1 |
|
| 4 |
|
|
#include "GAD_OPTIONS.h" |
| 5 |
|
|
|
| 6 |
adcroft |
1.4 |
CBOP |
| 7 |
|
|
C !ROUTINE: GAD_C4_ADV_X |
| 8 |
|
|
|
| 9 |
|
|
C !INTERFACE: ========================================================== |
| 10 |
adcroft |
1.1 |
SUBROUTINE GAD_C4_ADV_X( |
| 11 |
|
|
I bi,bj,k, |
| 12 |
|
|
I uTrans, |
| 13 |
|
|
I tracer, |
| 14 |
|
|
O uT, |
| 15 |
|
|
I myThid ) |
| 16 |
adcroft |
1.4 |
|
| 17 |
|
|
C !DESCRIPTION: |
| 18 |
|
|
C Calculates the area integrated zonal flux due to advection of a tracer |
| 19 |
|
|
C using centered fourth-order interpolation: |
| 20 |
|
|
C \begin{equation*} |
| 21 |
|
|
C F^x_{adv} = U \overline{ \theta - \frac{1}{6} \delta_{ii} \theta }^i |
| 22 |
|
|
C \end{equation*} |
| 23 |
|
|
C Near boundaries, the scheme reduces to a second if the flow is away |
| 24 |
|
|
C from the boundary and to third order if the flow is towards |
| 25 |
|
|
C the boundary. |
| 26 |
|
|
|
| 27 |
|
|
C !USES: =============================================================== |
| 28 |
adcroft |
1.1 |
IMPLICIT NONE |
| 29 |
|
|
#include "SIZE.h" |
| 30 |
|
|
#include "GRID.h" |
| 31 |
|
|
#include "GAD.h" |
| 32 |
|
|
|
| 33 |
adcroft |
1.4 |
C !INPUT PARAMETERS: =================================================== |
| 34 |
|
|
C bi,bj :: tile indices |
| 35 |
|
|
C k :: vertical level |
| 36 |
|
|
C uTrans :: zonal volume transport |
| 37 |
|
|
C tracer :: tracer field |
| 38 |
|
|
C myThid :: thread number |
| 39 |
adcroft |
1.1 |
INTEGER bi,bj,k |
| 40 |
|
|
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 41 |
|
|
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 42 |
adcroft |
1.4 |
INTEGER myThid |
| 43 |
|
|
|
| 44 |
|
|
C !OUTPUT PARAMETERS: ================================================== |
| 45 |
|
|
C uT :: zonal advective flux |
| 46 |
adcroft |
1.1 |
_RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 47 |
|
|
|
| 48 |
adcroft |
1.4 |
C !LOCAL VARIABLES: ==================================================== |
| 49 |
|
|
C i,j :: loop indices |
| 50 |
|
|
C Rjm,Rj,Rjp :: differences at i-1,i,i+1 |
| 51 |
|
|
C Rjjm,Rjjp :: second differences at i-1,i |
| 52 |
adcroft |
1.1 |
INTEGER i,j |
| 53 |
|
|
_RL Rjm,Rj,Rjp,Rjjm,Rjjp |
| 54 |
adcroft |
1.4 |
CEOP |
| 55 |
adcroft |
1.1 |
|
| 56 |
|
|
DO j=1-Oly,sNy+Oly |
| 57 |
|
|
uT(1-Olx,j)=0. |
| 58 |
jmc |
1.2 |
uT(2-Olx,j)=0. |
| 59 |
|
|
uT(sNx+Olx,j)=0. |
| 60 |
|
|
DO i=1-Olx+2,sNx+Olx-1 |
| 61 |
jmc |
1.3 |
Rjp=(tracer(i+1,j)-tracer(i,j)) |
| 62 |
|
|
c & *maskW(i+1,j,k,bi,bj) |
| 63 |
|
|
Rj =(tracer(i,j)-tracer(i-1,j)) |
| 64 |
|
|
c & *maskW(i,j,k,bi,bj) |
| 65 |
|
|
Rjm=(tracer(i-1,j)-tracer(i-2,j)) |
| 66 |
|
|
c & *maskW(i-1,j,k,bi,bj) |
| 67 |
|
|
C- jmc: mask not needed here above if Rjjp & Rjjm & uTrans are masked |
| 68 |
|
|
Rjjp=(Rjp-Rj)*maskW(i+1,j,k,bi,bj) |
| 69 |
|
|
Rjjm=(Rj-Rjm)*maskW(i-1,j,k,bi,bj) |
| 70 |
|
|
uT(i,j) = |
| 71 |
adcroft |
1.1 |
& uTrans(i,j)*( |
| 72 |
|
|
& Tracer(i,j)+Tracer(i-1,j)-oneSixth*( Rjjp+Rjjm ) |
| 73 |
|
|
& )*0.5 _d 0 |
| 74 |
jmc |
1.3 |
& +ABS( uTrans(i,j) )*0.5 _d 0*oneSixth*( Rjjp-Rjjm ) |
| 75 |
|
|
& *( 1. _d 0 - maskW(i-1,j,k,bi,bj)*maskW(i+1,j,k,bi,bj) ) |
| 76 |
adcroft |
1.1 |
ENDDO |
| 77 |
|
|
ENDDO |
| 78 |
|
|
|
| 79 |
|
|
RETURN |
| 80 |
|
|
END |
Parent Directory
| 
Revision Log
| 
Revision Graph