| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_u3_adv_x.F,v 1.5 2008/02/29 01:31:00 mlosch Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "GAD_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: GAD_U3_ADV_X |
| 8 |
|
| 9 |
C !INTERFACE: ========================================================== |
| 10 |
SUBROUTINE GAD_U3_ADV_X( |
| 11 |
I bi,bj,k, |
| 12 |
I uTrans, maskLocW, |
| 13 |
I tracer, |
| 14 |
O uT, |
| 15 |
I myThid ) |
| 16 |
|
| 17 |
C !DESCRIPTION: |
| 18 |
C Calculates the area integrated zonal flux due to advection of a tracer |
| 19 |
C using upwind biased third-order interpolation (or the $\kappa=1/3$ scheme): |
| 20 |
C \begin{equation*} |
| 21 |
C F^x_{adv} = U \overline{ \theta - \frac{1}{6} \delta_{ii} \theta }^i |
| 22 |
C + \frac{1}{12} |U| \delta_{iii} \theta |
| 23 |
C \end{equation*} |
| 24 |
C Near boundaries, mask all the gradients ==> still 3rd O. |
| 25 |
|
| 26 |
C !USES: =============================================================== |
| 27 |
IMPLICIT NONE |
| 28 |
#include "SIZE.h" |
| 29 |
c#include "GRID.h" |
| 30 |
#include "GAD.h" |
| 31 |
|
| 32 |
C !INPUT PARAMETERS: =================================================== |
| 33 |
C bi,bj :: tile indices |
| 34 |
C k :: vertical level |
| 35 |
C uTrans :: zonal volume transport |
| 36 |
C maskLocW :: mask (either 0 or 1) at grid-cell western edge |
| 37 |
C tracer :: tracer field |
| 38 |
C myThid :: my thread Id number |
| 39 |
INTEGER bi,bj,k |
| 40 |
_RL uTrans (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 41 |
_RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 42 |
_RL tracer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 43 |
INTEGER myThid |
| 44 |
|
| 45 |
C !OUTPUT PARAMETERS: ================================================== |
| 46 |
C uT :: zonal advective flux |
| 47 |
_RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 48 |
|
| 49 |
C !LOCAL VARIABLES: ==================================================== |
| 50 |
C i,j :: loop indices |
| 51 |
C Rjm,Rj,Rjp :: differences at i-1,i,i+1 |
| 52 |
C Rjjm,Rjjp :: second differences at i-1,i |
| 53 |
INTEGER i,j |
| 54 |
_RL Rjm,Rj,Rjp,Rjjm,Rjjp |
| 55 |
CEOP |
| 56 |
|
| 57 |
DO j=1-Oly,sNy+Oly |
| 58 |
uT(1-Olx,j)=0. |
| 59 |
uT(2-Olx,j)=0. |
| 60 |
uT(sNx+Olx,j)=0. |
| 61 |
ENDDO |
| 62 |
DO j=1-Oly,sNy+Oly |
| 63 |
DO i=1-Olx+2,sNx+Olx-1 |
| 64 |
Rjp = (tracer(i+1,j)-tracer( i ,j))*maskLocW(i+1,j) |
| 65 |
Rj = (tracer( i ,j)-tracer(i-1,j))*maskLocW( i ,j) |
| 66 |
Rjm = (tracer(i-1,j)-tracer(i-2,j))*maskLocW(i-1,j) |
| 67 |
Rjjp=Rjp-Rj |
| 68 |
Rjjm=Rj-Rjm |
| 69 |
uT(i,j) = |
| 70 |
& uTrans(i,j)*( |
| 71 |
& Tracer(i,j)+Tracer(i-1,j)-oneSixth*( Rjjp+Rjjm ) |
| 72 |
& )*0.5 _d 0 |
| 73 |
& +ABS( uTrans(i,j) )*0.5 _d 0*oneSixth*( Rjjp-Rjjm ) |
| 74 |
ENDDO |
| 75 |
ENDDO |
| 76 |
|
| 77 |
RETURN |
| 78 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph