| 1 |
jmc |
1.3 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_dst2u1_adv_y.F,v 1.2 2006/06/07 01:55:14 heimbach Exp $ |
| 2 |
jmc |
1.1 |
C $Name: $ |
| 3 |
|
|
|
| 4 |
|
|
#include "GAD_OPTIONS.h" |
| 5 |
|
|
|
| 6 |
|
|
CBOP |
| 7 |
|
|
C !ROUTINE: GAD_DST2U1_ADV_Y |
| 8 |
|
|
|
| 9 |
|
|
C !INTERFACE: ========================================================== |
| 10 |
jmc |
1.3 |
SUBROUTINE GAD_DST2U1_ADV_Y( |
| 11 |
jmc |
1.1 |
I bi,bj,k, advectionScheme, deltaTloc, |
| 12 |
|
|
I vTrans, vVel, |
| 13 |
|
|
I tracer, |
| 14 |
|
|
O vT, |
| 15 |
|
|
I myThid ) |
| 16 |
|
|
|
| 17 |
|
|
C !DESCRIPTION: |
| 18 |
|
|
C Calculates the area integrated meridional flux due to advection |
| 19 |
jmc |
1.3 |
C of a tracer using second-order Direct Space and Time (DST-2) |
| 20 |
jmc |
1.1 |
C interpolation (=Lax-Wendroff) or simple 1rst order upwind scheme. |
| 21 |
|
|
|
| 22 |
|
|
C !USES: =============================================================== |
| 23 |
|
|
IMPLICIT NONE |
| 24 |
|
|
#include "SIZE.h" |
| 25 |
|
|
#include "GRID.h" |
| 26 |
|
|
#include "GAD.h" |
| 27 |
|
|
|
| 28 |
|
|
C !INPUT PARAMETERS: =================================================== |
| 29 |
|
|
C bi,bj :: tile indices |
| 30 |
|
|
C k :: vertical level |
| 31 |
|
|
C advectionScheme :: advection scheme to use: either 2nd Order DST |
| 32 |
|
|
C or 1rst Order Upwind |
| 33 |
|
|
C vTrans :: meridional volume transport |
| 34 |
|
|
C vVel :: meridional flow |
| 35 |
|
|
C tracer :: tracer field |
| 36 |
|
|
C myThid :: thread number |
| 37 |
|
|
INTEGER bi,bj, k, advectionScheme |
| 38 |
|
|
_RL deltaTloc |
| 39 |
|
|
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 40 |
|
|
_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 41 |
|
|
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 42 |
|
|
INTEGER myThid |
| 43 |
|
|
|
| 44 |
|
|
C !OUTPUT PARAMETERS: ================================================== |
| 45 |
|
|
C vT :: meridional advective flux |
| 46 |
|
|
_RL vT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 47 |
|
|
|
| 48 |
|
|
C !LOCAL VARIABLES: ==================================================== |
| 49 |
|
|
C i,j :: loop indices |
| 50 |
|
|
C yLimit :: centered (vs upwind) fraction |
| 51 |
|
|
C vFld :: velocity [m/s], meridional component |
| 52 |
|
|
C vCFL :: Courant-Friedrich-Levy number |
| 53 |
|
|
INTEGER i,j |
| 54 |
jmc |
1.3 |
_RL vFld, vCFL, yLimit, vAbs |
| 55 |
jmc |
1.1 |
CEOP |
| 56 |
|
|
|
| 57 |
|
|
yLimit = 0. _d 0 |
| 58 |
|
|
IF ( advectionScheme.EQ.ENUM_DST2 ) yLimit = 1. _d 0 |
| 59 |
|
|
|
| 60 |
|
|
DO i=1-Olx,sNx+Olx |
| 61 |
|
|
vT(i,1-Oly)=0. |
| 62 |
|
|
ENDDO |
| 63 |
|
|
DO j=1-Oly+1,sNy+Oly |
| 64 |
|
|
DO i=1-Olx,sNx+Olx |
| 65 |
|
|
|
| 66 |
|
|
c vFld = vVel(i,j,k,bi,bj) |
| 67 |
|
|
vFld = vTrans(i,j)*recip_dxG(i,j,bi,bj) |
| 68 |
heimbach |
1.2 |
& *recip_drF(k)*_recip_hFacS(i,j,k,bi,bj) |
| 69 |
jmc |
1.1 |
vCFL = ABS(vFld*deltaTloc*recip_dyC(i,j,bi,bj)) |
| 70 |
|
|
|
| 71 |
jmc |
1.3 |
c vT(i,j) = |
| 72 |
|
|
c & vTrans(i,j)*(tracer(i,j-1)+tracer(i,j))*0.5 _d 0 |
| 73 |
|
|
c & + ( 1. _d 0 - yLimit*(1. _d 0 - vCFL) )*ABS(vTrans(i,j)) |
| 74 |
|
|
c & *(tracer(i,j-1)-tracer(i,j))*0.5 _d 0 |
| 75 |
|
|
C-- above formulation produces large truncation error when: |
| 76 |
|
|
C 1rst.O upWind and v > 0 & |tracer(i,j-1)| << |tracer(i,j)| |
| 77 |
|
|
C or v < 0 & |tracer(i,j-1)| >> |tracer(i,j)| |
| 78 |
|
|
C-- change to a more robust expression: |
| 79 |
|
|
vAbs = ABS(vTrans(i,j)) |
| 80 |
|
|
& *( 1. _d 0 - yLimit*(1. _d 0 - vCFL) ) |
| 81 |
|
|
vT(i,j) = ( vTrans(i,j)+vAbs )* 0.5 _d 0 * tracer(i,j-1) |
| 82 |
|
|
& + ( vTrans(i,j)-vAbs )* 0.5 _d 0 * tracer(i,j) |
| 83 |
|
|
|
| 84 |
jmc |
1.1 |
ENDDO |
| 85 |
|
|
ENDDO |
| 86 |
|
|
|
| 87 |
|
|
RETURN |
| 88 |
|
|
END |
Parent Directory
| 
Revision Log
| 
Revision Graph