/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_som_lim_r.F
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Contents of /MITgcm/pkg/generic_advdiff/gad_som_lim_r.F

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Revision 1.1 - (show annotations) (download)
Tue Jan 16 04:38:35 2007 UTC (17 years, 4 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint58w_post, checkpoint58x_post, checkpoint59e, checkpoint59d, checkpoint59a, checkpoint59c, checkpoint59b, checkpoint59, checkpoint58y_post, checkpoint58v_post
2nd-Order Moment Advection Scheme (Prather, 1986): first check-in
 - enable by setting #define GAD_ALLOW_SOM_ADVECT (in GAD_OPTIONS.h)
 - used without limiter (AdvScheme=80) or with Prather limiter (AdvScheme=81)
 - still needs work (not working with some options ; efficiency to improve)
   and serious testing.

1 C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_dst2u1_adv_x.F,v 1.6 2006/12/05 22:21:50 jmc Exp $
2 C $Name: $
3
4 #include "GAD_OPTIONS.h"
5
6 CBOP
7 C !ROUTINE: GAD_SOM_LIM_R
8
9 C !INTERFACE: ==========================================================
10 SUBROUTINE GAD_SOM_LIM_R(
11 I bi,bj, limiter,
12 U sm_v, sm_o, sm_x, sm_y, sm_z,
13 U sm_xx, sm_yy, sm_zz, sm_xy, sm_xz, sm_yz,
14 I myThid )
15
16 C !DESCRIPTION:
17 C Apply limiter before calculating vertical advection
18 C Second-Order Moments Advection of tracer in Z-direction
19 C ref: M.J.Prather, 1986, JGR, 91, D6, pp 6671-6681.
20 C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----|
21
22 C !USES: ===============================================================
23 IMPLICIT NONE
24 #include "SIZE.h"
25 c #include "GRID.h"
26 #include "GAD.h"
27
28 C !INPUT PARAMETERS: ===================================================
29 C bi,bj :: tile indices
30 C limiter :: 0: no limiter ; 1: Prather, 1986 limiter
31 C myThid :: my Thread Id. number
32 INTEGER bi,bj
33 INTEGER limiter
34 c _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
35 INTEGER myThid
36
37 C !OUTPUT PARAMETERS: ==================================================
38 C sm_v :: volume of grid cell
39 C sm_o :: tracer content of grid cell (zero order moment)
40 C sm_x,y,z :: 1rst order moment of tracer distribution, in x,y,z direction
41 C sm_xx,yy,zz :: 2nd order moment of tracer distribution, in x,y,z direction
42 C sm_xy,xz,yz :: 2nd order moment of tracer distr., in cross direction xy,xz,yz
43 _RL sm_v (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
44 _RL sm_o (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
45 _RL sm_x (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
46 _RL sm_y (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
47 _RL sm_z (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
48 _RL sm_xx (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
49 _RL sm_yy (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
50 _RL sm_zz (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
51 _RL sm_xy (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
52 _RL sm_xz (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
53 _RL sm_yz (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
54
55 #ifdef GAD_ALLOW_SOM_ADVECT
56 C !LOCAL VARIABLES: ====================================================
57 C i,j,k :: loop indices
58 _RL three
59 PARAMETER( three = 3. _d 0 )
60 INTEGER i,j,k
61 _RL slpmax, s1max, s1new, s2new
62 CEOP
63
64 IF ( limiter.EQ.1 ) THEN
65 DO k=1,Nr
66 DO j=1-OLy,sNy+OLy
67 DO i=1-OLx,sNx+OLx
68 C If flux-limiting transport is to be applied, place limits on
69 C appropriate moments before transport.
70 slpmax = 0.
71 IF ( sm_o(i,j,k).GT.0. ) slpmax = sm_o(i,j,k)
72 s1max = slpmax*1.5 _d 0
73 s1new = MIN( s1max, MAX(-s1max,sm_z(i,j,k)) )
74 s2new = MIN( (slpmax+slpmax-ABS(s1new)/three),
75 & MAX(ABS(s1new)-slpmax,sm_zz(i,j,k)) )
76 sm_xz(i,j,k) = MIN( slpmax, MAX(-slpmax,sm_xz(i,j,k)) )
77 sm_yz(i,j,k) = MIN( slpmax, MAX(-slpmax,sm_yz(i,j,k)) )
78 sm_z (i,j,k) = s1new ;
79 sm_zz(i,j,k) = s2new ;
80 ENDDO
81 ENDDO
82 ENDDO
83 ENDIF
84
85 #endif /* GAD_ALLOW_SOM_ADVECT */
86
87 RETURN
88 END

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