| 1 |
C $Header: /u/gcmpack/models/MITgcmUV/pkg/generic_advdiff/gad_c4_adv_r.F,v 1.3 2001/08/20 20:45:15 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "GAD_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: GAD_C4_ADV_R |
| 8 |
|
| 9 |
C !INTERFACE: ========================================================== |
| 10 |
SUBROUTINE GAD_C4_ADV_R( |
| 11 |
I bi,bj,k, |
| 12 |
I rTrans, |
| 13 |
I tracer, |
| 14 |
O wT, |
| 15 |
I myThid ) |
| 16 |
|
| 17 |
C !DESCRIPTION: |
| 18 |
C Calculates the area integrated vertical flux due to advection of a tracer |
| 19 |
C using centered fourth-order interpolation: |
| 20 |
C \begin{equation*} |
| 21 |
C F^r_{adv} = W \overline{ \theta - \frac{1}{6} \delta_{kk} \theta }^k |
| 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 |
IMPLICIT NONE |
| 29 |
#include "SIZE.h" |
| 30 |
#include "GRID.h" |
| 31 |
#include "GAD.h" |
| 32 |
|
| 33 |
C !INPUT PARAMETERS: =================================================== |
| 34 |
C bi,bj :: tile indices |
| 35 |
C k :: vertical level |
| 36 |
C rTrans :: vertical volume transport |
| 37 |
C tracer :: tracer field |
| 38 |
C myThid :: thread number |
| 39 |
INTEGER bi,bj,k |
| 40 |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 41 |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 42 |
INTEGER myThid |
| 43 |
|
| 44 |
C !OUTPUT PARAMETERS: ================================================== |
| 45 |
C wT :: vertical advective flux |
| 46 |
_RL wT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 47 |
|
| 48 |
C !LOCAL VARIABLES: ==================================================== |
| 49 |
C i,j :: loop indices |
| 50 |
C kp1 :: =min( k+1 , Nr ) |
| 51 |
C km1 :: =max( k-1 , 1 ) |
| 52 |
C km2 :: =max( k-2 , 1 ) |
| 53 |
C Rjm,Rj,Rjp :: differences at i-1,i,i+1 |
| 54 |
C Rjjm,Rjjp :: second differences at i-1,i |
| 55 |
C maskP1 :: =1 for k<Nr, =0 for k>=Nr |
| 56 |
INTEGER i,j,kp1,km1,km2 |
| 57 |
_RL Rjm,Rj,Rjp,Rjjm,Rjjp |
| 58 |
_RL maskP1 |
| 59 |
CEOP |
| 60 |
|
| 61 |
km2=MAX(1,k-2) |
| 62 |
km1=MAX(1,k-1) |
| 63 |
kp1=MIN(Nr,k+1) |
| 64 |
maskP1 = 1. |
| 65 |
IF (k.GE.Nr) maskP1 = 0. |
| 66 |
|
| 67 |
IF ( k.EQ.1 .OR. k.GT.Nr) THEN |
| 68 |
DO j=1-Oly,sNy+Oly |
| 69 |
DO i=1-Olx,sNx+Olx |
| 70 |
wT(i,j) = 0. |
| 71 |
ENDDO |
| 72 |
ENDDO |
| 73 |
ELSEIF ( k.EQ.2 ) THEN |
| 74 |
Rjjm= 0. |
| 75 |
DO j=1-Oly,sNy+Oly |
| 76 |
DO i=1-Olx,sNx+Olx |
| 77 |
Rjp=(tracer(i,j,kp1,bi,bj)-tracer(i,j,k,bi,bj)) |
| 78 |
Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj)) |
| 79 |
Rjjp=(Rjp-Rj)*maskC(i,j,kp1,bi,bj)*maskP1 |
| 80 |
wT(i,j) = maskC(i,j,km1,bi,bj)*( |
| 81 |
& rTrans(i,j)*( |
| 82 |
& (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0 |
| 83 |
& -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 ) |
| 84 |
& +ABS(rTrans(i,j))* |
| 85 |
& oneSixth*(Rjjm-Rjjp)*0.5 _d 0 |
| 86 |
& ) |
| 87 |
ENDDO |
| 88 |
ENDDO |
| 89 |
ELSEIF ( k.EQ.Nr ) THEN |
| 90 |
Rjjp= 0. |
| 91 |
DO j=1-Oly,sNy+Oly |
| 92 |
DO i=1-Olx,sNx+Olx |
| 93 |
Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj)) |
| 94 |
Rjm=(tracer(i,j,km1,bi,bj)-tracer(i,j,km2,bi,bj)) |
| 95 |
Rjjm=(Rj-Rjm)*maskC(i,j,km2,bi,bj) |
| 96 |
wT(i,j) = maskC(i,j,km1,bi,bj)*( |
| 97 |
& rTrans(i,j)*( |
| 98 |
& (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0 |
| 99 |
& -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 ) |
| 100 |
& +ABS(rTrans(i,j))* |
| 101 |
& oneSixth*(Rjjm-Rjjp)*0.5 _d 0 |
| 102 |
& ) |
| 103 |
ENDDO |
| 104 |
ENDDO |
| 105 |
ELSE |
| 106 |
DO j=1-Oly,sNy+Oly |
| 107 |
DO i=1-Olx,sNx+Olx |
| 108 |
Rjp=(tracer(i,j,kp1,bi,bj)-tracer(i,j,k,bi,bj)) |
| 109 |
Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj)) |
| 110 |
Rjm=(tracer(i,j,km1,bi,bj)-tracer(i,j,km2,bi,bj)) |
| 111 |
Rjjp=(Rjp-Rj)*maskC(i,j,kp1,bi,bj) |
| 112 |
Rjjm=(Rj-Rjm)*maskC(i,j,km2,bi,bj) |
| 113 |
wT(i,j) = maskC(i,j,km1,bi,bj)*( |
| 114 |
& rTrans(i,j)*( |
| 115 |
& (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0 |
| 116 |
& -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 ) |
| 117 |
& +ABS(rTrans(i,j))* |
| 118 |
& oneSixth*(Rjjm-Rjjp)*0.5 _d 0 |
| 119 |
& *( 1. _d 0 - maskC(i,j,km2,bi,bj)*maskC(i,j,kp1,bi,bj) ) |
| 120 |
& ) |
| 121 |
ENDDO |
| 122 |
ENDDO |
| 123 |
ENDIF |
| 124 |
|
| 125 |
RETURN |
| 126 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph