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

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Revision 1.1 - (show annotations) (download)
Sun Mar 13 01:44:03 2016 UTC (8 years, 1 month 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 C $Header: $
2 C $Name: $
3
4 # include "GAD_OPTIONS.h"
5
6 SUBROUTINE GAD_PPM_HAT_Y(bi,bj,kk,ix,
7 I method,mask,fbar,edge,
8 I ohat,fhat,myThid)
9 C |================================================================|
10 C | PPM_HAT_Y: reconstruct grid-cell PPM polynomials. |
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 C bi,bj :: tile indexing.
22 C kk :: r-indexing.
23 C ix :: x-indexing.
24 C method :: advection scheme.
25 C mask :: row of cell-wise masking values.
26 C fbar :: row of cell-wise values.
27 C edge :: row of edge-wise values.
28 C ohat :: row of oscl. coeff.
29 C - OHAT(1,:) = D^1F/DS^1.
30 C - OHAT(2,:) = D^2F/DS^2.
31 C fhat :: row of poly. coeff.
32 C - FHAT(:,I) = PPM coeff.
33 C myThid :: thread number.
34 C ================================================================
35 integer bi,bj,kk,ix
36 integer method
37 _RL mask(1-OLy:sNy+OLy)
38 _RL fbar(1-OLy:sNy+OLy)
39 _RL edge(1-OLy:sNy+OLy)
40 _RL ohat(1:2,
41 & 1-OLy:sNy+OLy)
42 _RL fhat(1:3,
43 & 1-OLy:sNy+OLy)
44 integer myThid
45
46 C ====================================================== variables
47 C ii,iy :: local y-indexing.
48 C ff00 :: centre-biased cell mean.
49 C ffll,ffrr :: left-, and right-biased cell values.
50 C fell,ferr :: left-, and right-biased edge values.
51 C dfds :: linear slope estimates.
52 C uhat :: "NULL" limited poly. coeff.
53 C lhat :: "MONO" limited poly. coeff.
54 C scal :: "WENO" weights.
55 C fmag,fdel :: local perturbation indicators.
56 C ================================================================
57 integer ii,iy
58 _RL ff00,ffll,ffrr
59 _RL fell,ferr
60 _RL dfds(-1:+1)
61 _RL uhat(+1:+5)
62 _RL lhat(+1:+5)
63 _RL scal(+1:+2)
64 _RL fmag,fdel
65 integer mono
66
67 C ==================== reconstruct coeff. for grid-cell poynomials
68 do iy = 1-OLy+2, sNy+OLy-2
69
70 C =============================== assemble cell mean + edge values
71 ff00 = fbar(iy+0)
72 ffll = ff00
73 & + mask(iy-1)*(fbar(iy-1)-ff00)
74 ffrr = ff00
75 & + mask(iy+1)*(fbar(iy+1)-ff00)
76
77 fell = edge(iy-0)
78 ferr = edge(iy+1)
79
80 c select case(method)
81 c case(ENUM_PPM_NULL_LIMIT)
82 if ( method.eq.ENUM_PPM_NULL_LIMIT ) then
83 C =============================== "NULL" limited grid-cell profile
84 CALL GAD_PPM_FUN_NULL ( ff00,fell,ferr,
85 & lhat,mono)
86
87 c case(ENUM_PPM_MONO_LIMIT)
88 elseif ( method.eq.ENUM_PPM_MONO_LIMIT ) then
89 C =============================== "MONO" limited grid-cell profile
90 CALL GAD_PLM_FUN_U(ffll,ff00,ffrr,dfds)
91
92 CALL GAD_PPM_FUN_MONO ( ff00,ffll,ffrr,
93 & fell,ferr,dfds,lhat,mono)
94
95 c case(ENUM_PPM_WENO_LIMIT)
96 elseif ( method.eq.ENUM_PPM_WENO_LIMIT ) then
97 C =============================== "WENO" limited grid-cell profile
98 CALL GAD_PLM_FUN_U(ffll,ff00,ffrr,dfds)
99
100 CALL GAD_PPM_FUN_NULL ( ff00,fell,ferr,
101 & uhat,mono)
102
103 CALL GAD_PPM_FUN_MONO ( ff00,ffll,ffrr,
104 & fell,ferr,dfds,lhat,mono)
105
106 if ( mono .gt. 0) then
107
108 C =============================== only apply WENO if it is worth it
109 fdel = abs(ffrr-ff00)+abs(ff00-ffll)
110 fmag = abs(ffll)+abs(ff00)+abs(ffrr)
111
112 if (fdel .gt. 1. _d -6 * fmag) then
113
114 C =============================== calc. WENO oscillation weighting
115 CALL GAD_OSC_MUL_Y(iy,+2,mask,
116 & ohat,scal)
117
118 do ii = +1, +3
119 C =============================== blend limited/un-limited profile
120 lhat(ii) = scal(1) * uhat(ii)
121 & + scal(2) * lhat(ii)
122 end do
123
124 end if
125
126 end if
127
128 c end select
129 endif
130
131 do ii = +1, +3
132 C =============================== copy polynomial onto output data
133 fhat(ii,iy) = lhat(ii)
134 end do
135
136 end do
137
138 return
139
140 c end subroutine GAD_PPM_HAT_Y
141 end

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