7 |
C !ROUTINE: GAD_DST2U1_ADV_Y |
C !ROUTINE: GAD_DST2U1_ADV_Y |
8 |
|
|
9 |
C !INTERFACE: ========================================================== |
C !INTERFACE: ========================================================== |
10 |
SUBROUTINE GAD_DST2U1_ADV_Y( |
SUBROUTINE GAD_DST2U1_ADV_Y( |
11 |
I bi,bj,k, advectionScheme, deltaTloc, |
I bi,bj,k, advectionScheme, calcCFL, |
12 |
I vTrans, vVel, |
I deltaTloc, vTrans, vFld, |
13 |
I tracer, |
I tracer, |
14 |
O vT, |
O vT, |
15 |
I myThid ) |
I myThid ) |
16 |
|
|
17 |
C !DESCRIPTION: |
C !DESCRIPTION: |
18 |
C Calculates the area integrated meridional flux due to advection |
C Calculates the area integrated meridional flux due to advection |
19 |
C of a tracer using second-order Direct Space and Time (DST-2) |
C of a tracer using second-order Direct Space and Time (DST-2) |
20 |
C interpolation (=Lax-Wendroff) or simple 1rst order upwind scheme. |
C interpolation (=Lax-Wendroff) or simple 1rst order upwind scheme. |
21 |
|
|
22 |
C !USES: =============================================================== |
C !USES: =============================================================== |
30 |
C k :: vertical level |
C k :: vertical level |
31 |
C advectionScheme :: advection scheme to use: either 2nd Order DST |
C advectionScheme :: advection scheme to use: either 2nd Order DST |
32 |
C or 1rst Order Upwind |
C or 1rst Order Upwind |
33 |
|
C calcCFL :: =T: calculate CFL number ; =F: take vFld as CFL |
34 |
|
C deltaTloc :: local time-step (s) |
35 |
C vTrans :: meridional volume transport |
C vTrans :: meridional volume transport |
36 |
C vVel :: meridional flow |
C vFld :: meridional flow / CFL number |
37 |
C tracer :: tracer field |
C tracer :: tracer field |
38 |
C myThid :: thread number |
C myThid :: thread number |
39 |
INTEGER bi,bj, k, advectionScheme |
INTEGER bi,bj, k, advectionScheme |
40 |
|
LOGICAL calcCFL |
41 |
_RL deltaTloc |
_RL deltaTloc |
42 |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
43 |
_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
_RL vFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
44 |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
45 |
INTEGER myThid |
INTEGER myThid |
46 |
|
|
51 |
C !LOCAL VARIABLES: ==================================================== |
C !LOCAL VARIABLES: ==================================================== |
52 |
C i,j :: loop indices |
C i,j :: loop indices |
53 |
C yLimit :: centered (vs upwind) fraction |
C yLimit :: centered (vs upwind) fraction |
|
C vFld :: velocity [m/s], meridional component |
|
54 |
C vCFL :: Courant-Friedrich-Levy number |
C vCFL :: Courant-Friedrich-Levy number |
55 |
INTEGER i,j |
INTEGER i,j |
56 |
_RL vFld, vCFL, yLimit |
_RL vCFL, yLimit, vAbs |
57 |
CEOP |
CEOP |
58 |
|
|
59 |
yLimit = 0. _d 0 |
yLimit = 0. _d 0 |
65 |
DO j=1-Oly+1,sNy+Oly |
DO j=1-Oly+1,sNy+Oly |
66 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
67 |
|
|
68 |
c vFld = vVel(i,j,k,bi,bj) |
vCFL = vFld(i,j) |
69 |
vFld = vTrans(i,j)*recip_dxG(i,j,bi,bj) |
IF ( calcCFL ) vCFL = ABS( vFld(i,j)*deltaTloc |
70 |
& *recip_drF(k)*_recip_hFacS(i,j,k,bi,bj) |
& *recip_dyC(i,j,bi,bj)*recip_deepFacC(k) ) |
71 |
vCFL = ABS(vFld*deltaTloc*recip_dyC(i,j,bi,bj)) |
|
72 |
|
c vT(i,j) = |
73 |
vT(i,j) = |
c & vTrans(i,j)*(tracer(i,j-1)+tracer(i,j))*0.5 _d 0 |
74 |
& vTrans(i,j)*(Tracer(i,j-1)+Tracer(i,j))*0.5 _d 0 |
c & + ( 1. _d 0 - yLimit*(1. _d 0 - vCFL) )*ABS(vTrans(i,j)) |
75 |
& + ( 1. _d 0 - yLimit*(1. _d 0 - vCFL) )*ABS(vTrans(i,j)) |
c & *(tracer(i,j-1)-tracer(i,j))*0.5 _d 0 |
76 |
& *(tracer(i,j-1)-tracer(i,j))*0.5 _d 0 |
C-- above formulation produces large truncation error when: |
77 |
|
C 1rst.O upWind and v > 0 & |tracer(i,j-1)| << |tracer(i,j)| |
78 |
|
C or v < 0 & |tracer(i,j-1)| >> |tracer(i,j)| |
79 |
|
C-- change to a more robust expression: |
80 |
|
vAbs = ABS(vTrans(i,j)) |
81 |
|
& *( 1. _d 0 - yLimit*(1. _d 0 - vCFL) ) |
82 |
|
vT(i,j) = ( vTrans(i,j)+vAbs )* 0.5 _d 0 * tracer(i,j-1) |
83 |
|
& + ( vTrans(i,j)-vAbs )* 0.5 _d 0 * tracer(i,j) |
84 |
|
|
85 |
ENDDO |
ENDDO |
86 |
ENDDO |
ENDDO |
87 |
|
|