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 |