/[MITgcm]/MITgcm/pkg/flt/flt_interp_linear.F
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Contents of /MITgcm/pkg/flt/flt_interp_linear.F

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Revision 1.1 - (show annotations) (download)
Sun Feb 1 21:10:51 2009 UTC (15 years, 3 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint64y, checkpoint64x, checkpoint64z, checkpoint64q, checkpoint64p, checkpoint64s, checkpoint64r, checkpoint64u, checkpoint64t, checkpoint64w, checkpoint64v, checkpoint64i, checkpoint64h, checkpoint64k, checkpoint64j, checkpoint64m, checkpoint64l, checkpoint64o, checkpoint64n, checkpoint64a, checkpoint64c, checkpoint64b, checkpoint64e, checkpoint64d, checkpoint64g, checkpoint64f, checkpoint63p, checkpoint63q, checkpoint63r, checkpoint63s, checkpoint63l, checkpoint63m, checkpoint63n, checkpoint63o, checkpoint63h, checkpoint63i, checkpoint63j, checkpoint63k, checkpoint63d, checkpoint63e, checkpoint63f, checkpoint63g, checkpoint63a, checkpoint63b, checkpoint63c, checkpoint64, checkpoint65, checkpoint62, checkpoint63, checkpoint66g, checkpoint66f, checkpoint66e, checkpoint66d, checkpoint66c, checkpoint66b, checkpoint66a, checkpoint66o, checkpoint66n, checkpoint66m, checkpoint66l, checkpoint66k, checkpoint66j, checkpoint66i, checkpoint66h, checkpoint65z, checkpoint65x, checkpoint65y, checkpoint65r, checkpoint65s, checkpoint65p, checkpoint65q, checkpoint65v, checkpoint65w, checkpoint65t, checkpoint65u, checkpoint65j, checkpoint65k, checkpoint65h, checkpoint65i, checkpoint65n, checkpoint65o, checkpoint65l, checkpoint65m, checkpoint65b, checkpoint65c, checkpoint65a, checkpoint65f, checkpoint65g, checkpoint65d, checkpoint65e, checkpoint62c, checkpoint62b, checkpoint62a, checkpoint62g, checkpoint62f, checkpoint62e, checkpoint62d, checkpoint62k, checkpoint62j, checkpoint62i, checkpoint62h, checkpoint62o, checkpoint62n, checkpoint62m, checkpoint62l, checkpoint62s, checkpoint62r, checkpoint62q, checkpoint62p, checkpoint62w, checkpoint62v, checkpoint62u, checkpoint62t, checkpoint62z, checkpoint62y, checkpoint62x, checkpoint61n, checkpoint61o, checkpoint61l, checkpoint61m, checkpoint61j, checkpoint61k, checkpoint61i, checkpoint61v, checkpoint61w, checkpoint61t, checkpoint61u, checkpoint61r, checkpoint61s, checkpoint61p, checkpoint61q, checkpoint61z, checkpoint61x, checkpoint61y, HEAD 
- clean-up & simplify linear interpolation S/R :
  (move flt_bilinear.F -> flt_interp_linear.F ; add arg. myThid ; add
   option for var @ corner position)
- fix some indices (mainly vertical index)
- uses IMPLICIT NONE
1 C $Header: /u/gcmpack/MITgcm/pkg/flt/flt_bilinear.F,v 1.4 2009/01/04 00:58:23 jmc Exp $
2 C $Name: $
3
4 #include "FLT_OPTIONS.h"
5
6 C-- Contents
7 C-- o FLT_BILINEAR
8 C-- o FLT_TRILINEAR
9 C-- o FLT_BILINEAR2D
10
11 C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----|
12
13 SUBROUTINE FLT_BILINEAR(
14 I ix, jy,
15 O uu,
16 I var,
17 I kl, nu, bi, bj, myThid )
18
19 C ==================================================================
20 C SUBROUTINE FLT_BILINEAR
21 C ==================================================================
22 C o Bilinear scheme to interpolate variable to particle position
23 C given by its fractional (real) index ix,jy location
24 C ==================================================================
25
26 C !USES:
27 IMPLICIT NONE
28
29 C == global variables ==
30 #include "SIZE.h"
31
32 C == routine arguments ==
33 _RL ix, jy
34 _RL uu
35 _RL var(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
36 INTEGER kl, nu, bi, bj, myThid
37
38 C == local variables ==
39 INTEGER i1, j1, i2, j2, klp
40 _RL ddx, ddy
41 _RL u11, u12, u22, u21
42
43 C == end of interface ==
44
45 C-- to choose the u box in which the particle is found
46 C nu=0 for T, S
47 C nu=1 for u
48 C nu=2 for v
49 C nu=3 for Vorticity
50 C nu=4 for w
51
52 IF ( kl.LT.1 .OR. kl.GT.Nr ) THEN
53 c WRITE(msgbuf,'(A,I8)')
54 c & ' FLT_BILINEAR: illegal value for kl=',kl
55 c CALL PRINT_ERROR( msgbuf, myThid )
56 STOP 'ABNORMAL END: S/R FLT_BILINEAR'
57 ENDIF
58
59 C-- find x-index according to grid-location of variable
60 IF ( MOD(nu,2).EQ.0 ) THEN
61 i1 = INT(ix)
62 ddx = ix - DFLOAT(i1)
63 ELSE
64 i1 = NINT(ix)
65 ddx = 0.5 _d 0 + ix - DFLOAT(i1)
66 ENDIF
67 C-- find y-index according to grid-location of variable
68 IF ( MOD(nu,4).LE.1 ) THEN
69 j1 = INT(jy)
70 ddy = jy - DFLOAT(j1)
71 ELSE
72 j1 = NINT(jy)
73 ddy = 0.5 _d 0 + jy - DFLOAT(j1)
74 ENDIF
75
76 C-- Set the higher index for interpolation
77 i2 = i1 + 1
78 j2 = j1 + 1
79
80 C-- No need to change start/end index : use array overlap if needed
81
82 C-- bilinear interpolation (from numerical recipes)
83 IF (nu.LE.3) THEN
84 uu = ( (1.-ddx)*(1.-ddy)*var(i1,j1,kl,bi,bj)
85 & + ddx * ddy *var(i2,j2,kl,bi,bj) )
86 & + ( ddx *(1.-ddy)*var(i2,j1,kl,bi,bj)
87 & + (1.-ddx)* ddy *var(i1,j2,kl,bi,bj) )
88 ELSE
89 klp = MIN(kl+1,Nr)
90 u11 = ( var(i1,j1,kl,bi,bj)+var(i1,j1,klp,bi,bj) )*0.5 _d 0
91 u21 = ( var(i2,j1,kl,bi,bj)+var(i2,j1,klp,bi,bj) )*0.5 _d 0
92 u22 = ( var(i2,j2,kl,bi,bj)+var(i2,j2,klp,bi,bj) )*0.5 _d 0
93 u12 = ( var(i1,j2,kl,bi,bj)+var(i1,j2,klp,bi,bj) )*0.5 _d 0
94 uu = ( (1.-ddx)*(1.-ddy)*u11
95 & + ddx * ddy *u22 )
96 & + ( ddx *(1.-ddy)*u21
97 & + (1.-ddx)* ddy *u12 )
98 ENDIF
99
100
101 RETURN
102 END
103
104 C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----|
105
106 SUBROUTINE FLT_TRILINEAR(
107 I ix, jy, kz,
108 O uu,
109 I var,
110 I nu, bi, bj, myThid )
111
112 C ==================================================================
113 C SUBROUTINE FLT_TRILINEAR
114 C ==================================================================
115 C o Trilinear scheme to interpolate variable to particle position
116 C given by its fractional (real) index ix,jy,kz location
117 C This routine is a straight forward generalization of the
118 C bilinear interpolation scheme.
119 C
120 C started: 2004.05.28 Antti Westerlund (antti.westerlund@fimr.fi)
121 C and Sergio Jaramillo (sju@eos.ubc.ca).
122 C (adopted from SUBROUTINE bilinear by Arne Biastoch)
123 C ==================================================================
124
125 C !USES:
126 IMPLICIT NONE
127
128 C == global variables ==
129 #include "SIZE.h"
130
131 C == routine arguments ==
132 _RL ix, jy, kz
133 _RL uu
134 _RL var(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
135 INTEGER nu, bi, bj, myThid
136
137 C == local variables ==
138 INTEGER i1, j1, k1, i2, j2, k2
139 _RL ddx, ddy, ddz
140
141 C == end of interface ==
142
143 C to choose the u box in which the particle is found
144 C nu=0 for T, S
145 C nu=1 for u
146 C nu=2 for v
147 C nu=3 for Vorticity
148 C nu=4 for w
149
150 C-- find x-index according to grid-location of variable
151 IF ( MOD(nu,2).EQ.0 ) THEN
152 i1 = INT(ix)
153 ddx = ix - DFLOAT(i1)
154 ELSE
155 i1 = NINT(ix)
156 ddx = 0.5 _d 0 + ix - DFLOAT(i1)
157 ENDIF
158 C-- find y-index according to grid-location of variable
159 IF ( MOD(nu,4).LE.1 ) THEN
160 j1 = INT(jy)
161 ddy = jy - DFLOAT(j1)
162 ELSE
163 j1 = NINT(jy)
164 ddy = 0.5 _d 0 + jy - DFLOAT(j1)
165 ENDIF
166 C-- find z-index according to grid-location of variable
167 IF ( nu.LE.3 ) THEN
168 k1 = INT(kz)
169 ddz = kz - DFLOAT(k1)
170 ELSE
171 k1 = NINT(kz)
172 ddz = 0.5 _d 0 + kz - DFLOAT(k1)
173 ENDIF
174
175 C-- Set the higher index for interpolation
176 i2 = i1 + 1
177 j2 = j1 + 1
178 k2 = k1 + 1
179
180 C-- No need to change start/end horizontal index : use array overlap if needed
181 C-- Need to adjust start/end vertical index :
182 k1 = MIN( MAX( k1, 1 ), Nr )
183 k2 = MIN( MAX( k2, 1 ), Nr )
184
185 C Trilinear interpolation, a straight forward generalization
186 C of the bilinear interpolation scheme.
187 uu = (1.-ddz)*( ( (1.-ddx)*(1.-ddy)*var(i1,j1,k1,bi,bj)
188 & + ddx * ddy *var(i2,j2,k1,bi,bj) )
189 & + ( ddx *(1.-ddy)*var(i2,j1,k1,bi,bj)
190 & + (1.-ddx)* ddy *var(i1,j2,k1,bi,bj) ) )
191 & + ddz *( ( (1.-ddx)*(1.-ddy)*var(i1,j1,k2,bi,bj)
192 & + ddx * ddy *var(i2,j2,k2,bi,bj) )
193 & + ( ddx*(1.-ddy) *var(i2,j1,k2,bi,bj)
194 & + (1.-ddx)* ddy *var(i1,j2,k2,bi,bj) ) )
195
196 RETURN
197 END
198
199 C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----|
200
201 SUBROUTINE FLT_BILINEAR2D(
202 I ix, jy,
203 O uu,
204 I var,
205 I nu, bi, bj, myThid )
206
207 C ==================================================================
208 C SUBROUTINE FLT_BILINEAR2D
209 C ==================================================================
210 C o Bilinear scheme to interpolate 2-D variable to particle position
211 C given by its fractional (real) index ix,jy location
212 C
213 C started: Arne Biastoch abiastoch@ucsd.edu 13-Jan-2000
214 C (adopted from SUBROUTINE bilinear)
215 C ==================================================================
216
217 C !USES:
218 IMPLICIT NONE
219
220 C == global variables ==
221 #include "SIZE.h"
222
223 C == routine arguments ==
224 _RL ix, jy
225 _RL uu
226 _RL var(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
227 INTEGER nu, bi, bj, myThid
228
229 C == local variables ==
230 INTEGER i1, j1, i2, j2
231 _RL ddx, ddy
232
233 C == end of interface ==
234
235 C to choose the u box in which the particle is found
236 C nu=0 for T, S
237 C nu=1 for u
238 C nu=2 for v
239 C nu=3 for Vorticity
240 C nu=4 for w
241
242 C-- find x-index according to grid-location of variable
243 IF ( MOD(nu,2).EQ.0 ) THEN
244 i1 = INT(ix)
245 ddx = ix - DFLOAT(i1)
246 ELSE
247 i1 = NINT(ix)
248 ddx = 0.5 _d 0 + ix - DFLOAT(i1)
249 ENDIF
250 C-- find y-index according to grid-location of variable
251 IF ( MOD(nu,4).LE.1 ) THEN
252 j1 = INT(jy)
253 ddy = jy - DFLOAT(j1)
254 ELSE
255 j1 = NINT(jy)
256 ddy = 0.5 _d 0 + jy - DFLOAT(j1)
257 ENDIF
258
259 C-- Set the higher index for interpolation
260 i2 = i1 + 1
261 j2 = j1 + 1
262
263 C-- No need to change start/end index : use array overlap if needed
264
265 C bilinear interpolation (from numerical recipes)
266 uu = ( (1.-ddx)*(1.-ddy)*var(i1,j1,bi,bj)
267 & + ddx * ddy *var(i2,j2,bi,bj) )
268 & + ( ddx *(1.-ddy)*var(i2,j1,bi,bj)
269 & + (1.-ddx)* ddy *var(i1,j2,bi,bj) )
270
271 RETURN
272 END
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