/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_ppm_p3e_y.F
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Revision 1.1 - (hide annotations) (download)
Sun Mar 13 01:44:03 2016 UTC (8 years, 2 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint66g, checkpoint66f, checkpoint66e, checkpoint66d, checkpoint66c, checkpoint66b, checkpoint66a, checkpoint66o, checkpoint66n, checkpoint66m, checkpoint66l, checkpoint66k, checkpoint66j, checkpoint66i, checkpoint66h, checkpoint65z, checkpoint65x, checkpoint65y, checkpoint65v, checkpoint65w, checkpoint65u, HEAD
- from Darren: add PPM and PQM advection schemes (number 40-42 and 50-52)
  with 2 types of limiter (see: Engwirda & Kelley, submit. to JCP);
  Note (from Darren): unlimited PPM/PQM scheme (40 & 50) are just for
  testing and not for actual use.

1 jmc 1.1 C $Header: $
2     C $Name: $
3    
4     # include "GAD_OPTIONS.h"
5    
6     SUBROUTINE GAD_PPM_P3E_Y(bi,bj,kk,ix,
7     & mask,fbar,edge,myThid)
8     C |================================================================|
9     C | PPM_P3E_Y: approximate edge values with degree-3 polynomials. |
10     C | Fixed grid-spacing variant in Y. |
11     C |================================================================|
12    
13     implicit none
14    
15     C =============================================== global variables
16     # include "SIZE.h"
17     # include "GRID.h"
18     # include "GAD.h"
19    
20     C ====================================================== arguments
21     integer bi,bj,kk,ix
22     _RL mask(1-OLy:sNy+OLy)
23     _RL fbar(1-OLy:sNy+OLy)
24     _RL edge(1-OLy:sNy+OLy)
25     integer myThid
26    
27     C ====================================================== variables
28     integer iy
29     _RL mloc(-2:+1)
30     _RL floc(-2:+1)
31     _RL ftmp
32    
33     C ==================== reconstruct 3rd--order accurate edge values
34     do iy = 1-OLy+2, sNy+OLy-1
35    
36     C ================ mask local stencil: expand from centre outwards
37     mloc(-1) = mask(iy-1)
38     mloc(+0) = mask(iy+0)
39    
40     floc(-1) = fbar(iy+0)
41     & + mloc(-1)*(fbar(iy-1)-fbar(iy+0))
42     floc(+0) = fbar(iy-1)
43     & + mloc(+0)*(fbar(iy+0)-fbar(iy-1))
44    
45     mloc(-2) = mask(iy-2) * mloc(-1)
46    
47     ftmp = 2. _d 0 * floc(-1) - floc(+0)
48     floc(-2) = ftmp
49     & + mloc(-2)*(fbar(iy-2)-ftmp)
50    
51     mloc(+1) = mask(iy+1) * mloc(+0)
52    
53     ftmp = 2. _d 0 * floc(+0) - floc(-1)
54     floc(+1) = ftmp
55     & + mloc(+1)*(fbar(iy+1)-ftmp)
56    
57     C ================ centred, 5th-order interpolation for edge value
58     edge(iy) =
59     & -(1. _d 0 / 12. _d 0)*(floc(-2)+floc(+1))
60     & +(7. _d 0 / 12. _d 0)*(floc(-1)+floc(+0))
61    
62     end do
63    
64     return
65    
66     c end subroutine GAD_PPM_P3E_Y
67     end

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