/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_u3_adv_r.F
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revision 1.2 by jmc, Mon Aug 20 20:44:01 2001 UTC revision 1.3 by adcroft, Wed Sep 26 19:05:21 2001 UTC
# Line 3  C $Name$ Line 3  C $Name$
3    
4  #include "GAD_OPTIONS.h"  #include "GAD_OPTIONS.h"
5    
6    CBOP
7    C !ROUTINE: GAD_U3_ADV_R
8    
9    C !INTERFACE: ==========================================================
10        SUBROUTINE GAD_U3_ADV_R(        SUBROUTINE GAD_U3_ADV_R(
11       I           bi,bj,k,       I           bi,bj,k,
12       I           rTrans,       I           rTrans,
13       I           tracer,       I           tracer,
14       O           wT,       O           wT,
15       I           myThid )       I           myThid )
 C     /==========================================================\  
 C     | SUBROUTINE GAD_U3_ADV_R                                  |  
 C     | o Compute vertical advective Flux of Tracer using        |  
 C     |   3rd Order Upwind Scheme                                |  
 C     | o reduced to 2nd or 3rd Order near a boundary            |  
 C     |==========================================================|  
       IMPLICIT NONE  
16    
17  C     == GLobal variables ==  C !DESCRIPTION:
18    C Calculates the area integrated vertical 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^r_{adv} = W \overline{ \theta  - \frac{1}{6} \delta_{kk} \theta }^k
22    C                 + \frac{1}{12} |W| \delta_{kkk} \theta
23    C \end{equation*}
24    C Near boundaries, reduces to second order when flow is away from boundary
25    C and third order when flow is towards boundary.
26    
27    C !USES: ===============================================================
28          IMPLICIT NONE
29  #include "SIZE.h"  #include "SIZE.h"
30  #include "GRID.h"  #include "GRID.h"
31  #include "GAD.h"  #include "GAD.h"
32    
33  C     == Routine arguments ==  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        INTEGER bi,bj,k
40        _RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
41        _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)        _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
       _RL wT    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)  
42        INTEGER myThid        INTEGER myThid
43    
44  C     == Local variables ==  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        INTEGER i,j,kp1,km1,km2
57        _RL Rjm,Rj,Rjp,Rjjm,Rjjp        _RL Rjm,Rj,Rjp,Rjjm,Rjjp
58        _RL maskM2, maskP1        _RL maskM2, maskP1
59    CEOP
60    
61        km2=MAX(1,k-2)        km2=MAX(1,k-2)
62        km1=MAX(1,k-1)        km1=MAX(1,k-1)
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