1 |
C $Header: /u/gcmpack/MITgcm/pkg/monitor/mon_vort3.F,v 1.7 2004/03/15 01:37:23 cnh Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
#include "PACKAGES_CONFIG.h" |
5 |
#include "MONITOR_OPTIONS.h" |
6 |
|
7 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
8 |
CBOP |
9 |
C !ROUTINE: MON_VORT3 |
10 |
|
11 |
C !INTERFACE: |
12 |
SUBROUTINE MON_VORT3( |
13 |
I myIter, myThid ) |
14 |
|
15 |
C !DESCRIPTION: |
16 |
C Calculates stats for Vorticity (z-component). |
17 |
|
18 |
C !USES: |
19 |
IMPLICIT NONE |
20 |
#include "SIZE.h" |
21 |
#include "EEPARAMS.h" |
22 |
#include "PARAMS.h" |
23 |
#include "DYNVARS.h" |
24 |
#include "MONITOR.h" |
25 |
#include "GRID.h" |
26 |
#ifdef ALLOW_EXCH2 |
27 |
#include "W2_EXCH2_TOPOLOGY.h" |
28 |
#include "W2_EXCH2_PARAMS.h" |
29 |
#endif /* ALLOW_EXCH2 */ |
30 |
|
31 |
C !INPUT PARAMETERS: |
32 |
INTEGER myIter, myThid |
33 |
CEOP |
34 |
|
35 |
C !LOCAL VARIABLES: |
36 |
INTEGER bi,bj,i,j,k |
37 |
INTEGER iMax,jMax |
38 |
_RL numPnts, theVol, theArea, tmpVal, tmpAre, tmpVol |
39 |
_RL theMin, theMax, theMean, theVar, volMean, volVar, theSD |
40 |
_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
41 |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
42 |
_RL AZcorner |
43 |
#ifdef MONITOR_TEST_HFACZ |
44 |
_RL tmpFac |
45 |
_RL etaFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
46 |
#endif |
47 |
LOGICAL northWestCorner, northEastCorner |
48 |
LOGICAL southWestCorner, southEastCorner |
49 |
INTEGER myTile, iG |
50 |
|
51 |
theMin = 1. _d 20 |
52 |
theMax =-1. _d 20 |
53 |
theArea= 0. _d 0 |
54 |
theMean= 0. _d 0 |
55 |
theVar = 0. _d 0 |
56 |
theVol = 0. _d 0 |
57 |
volMean= 0. _d 0 |
58 |
volVar = 0. _d 0 |
59 |
theSD = 0. _d 0 |
60 |
AZcorner = 1. _d 0 |
61 |
|
62 |
DO bj=myByLo(myThid),myByHi(myThid) |
63 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
64 |
#ifdef MONITOR_TEST_HFACZ |
65 |
tmpFac = 0. |
66 |
IF( implicDiv2Dflow.GT.0 .AND. abEps.GT.-0.5 ) |
67 |
& tmpFac = (0.5+abEps) / implicDiv2Dflow |
68 |
DO j=1-Oly,sNy+Oly |
69 |
DO i=1-Olx,sNx+Olx |
70 |
etaFld(i,j) = etaH(i,j,bi,bj) |
71 |
& + tmpFac*(etaN(i,j,bi,bj)-etaH(i,j,bi,bj)) |
72 |
ENDDO |
73 |
ENDDO |
74 |
#endif |
75 |
DO k=1,Nr |
76 |
|
77 |
iMax = sNx |
78 |
jMax = sNy |
79 |
DO j=1,sNy |
80 |
DO i=1,sNx |
81 |
#ifdef MONITOR_TEST_HFACZ |
82 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
83 |
C- Test various definitions of hFacZ (for 1 layer, flat bottom ocean): |
84 |
c hFacZ(i,j) = 1. + |
85 |
c & 0.25 _d 0*( etaFld(i-1,j-1) |
86 |
c & + etaFld( i ,j-1) |
87 |
c & + etaFld(i-1, j ) |
88 |
c & + etaFld( i , j ) |
89 |
c & )*recip_drF(k) |
90 |
c hFacZ(i,j) = 1. + |
91 |
c & 0.25 _d 0*( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
92 |
c & + etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
93 |
c & + etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
94 |
c & + etaFld( i , j )*rA( i , j ,bi,bj) |
95 |
c & )*recip_drF(k)*recip_rAz(i,j,bi,bj) |
96 |
hFacZ(i,j) = 1. + 0.125 _d 0* |
97 |
& ( ( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
98 |
& +etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
99 |
& )*recip_rAw(i,j-1,bi,bj) |
100 |
& + ( etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
101 |
& +etaFld( i , j )*rA( i , j ,bi,bj) |
102 |
& )*recip_rAw(i, j ,bi,bj) |
103 |
& + ( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
104 |
& +etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
105 |
& )*recip_rAs(i-1,j,bi,bj) |
106 |
& + ( etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
107 |
& + etaFld( i , j )*rA( i , j ,bi,bj) |
108 |
& )*recip_rAs( i ,j,bi,bj) |
109 |
& )*recip_drF(k) |
110 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
111 |
#else |
112 |
C- Standard definition of hFac at vorticity point: |
113 |
hFacZ(i,j) = |
114 |
& 0.25 _d 0*( _hFacW(i,j-1,k,bi,bj) |
115 |
& + _hFacW(i, j ,k,bi,bj) |
116 |
& + _hFacS(i-1,j,k,bi,bj) |
117 |
& + _hFacS( i ,j,k,bi,bj) |
118 |
& ) |
119 |
#endif /* MONITOR_TEST_HFACZ */ |
120 |
vort3(i,j) = recip_rAz(i,j,bi,bj)*( |
121 |
& vVel( i ,j,k,bi,bj)*dyC( i ,j,bi,bj) |
122 |
& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
123 |
& -uVel(i, j ,k,bi,bj)*dxC(i, j ,bi,bj) |
124 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
125 |
& ) |
126 |
ENDDO |
127 |
ENDDO |
128 |
|
129 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
130 |
C Special stuff for Cubed Sphere: |
131 |
IF (useCubedSphereExchange) THEN |
132 |
c AZcorner = 0.75 _d 0 |
133 |
iMax = sNx+1 |
134 |
jMax = sNy+1 |
135 |
DO i=1,iMax |
136 |
hFacZ(i,jMax)=0. |
137 |
vort3(i,jMax)=0. |
138 |
ENDDO |
139 |
DO j=1,jMax |
140 |
hFacZ(iMax,j)=0. |
141 |
vort3(iMax,j)=0. |
142 |
ENDDO |
143 |
|
144 |
southWestCorner = .TRUE. |
145 |
southEastCorner = .TRUE. |
146 |
northWestCorner = .TRUE. |
147 |
northEastCorner = .TRUE. |
148 |
iG = bi+(myXGlobalLo-1)/sNx |
149 |
#ifdef ALLOW_EXCH2 |
150 |
myTile = W2_myTileList(bi) |
151 |
iG = exch2_myFace(myTile) |
152 |
southWestCorner = exch2_isWedge(myTile).EQ.1 |
153 |
& .AND. exch2_isSedge(myTile).EQ.1 |
154 |
southEastCorner = exch2_isEedge(myTile).EQ.1 |
155 |
& .AND. exch2_isSedge(myTile).EQ.1 |
156 |
northEastCorner = exch2_isEedge(myTile).EQ.1 |
157 |
& .AND. exch2_isNedge(myTile).EQ.1 |
158 |
northWestCorner = exch2_isWedge(myTile).EQ.1 |
159 |
& .AND. exch2_isNedge(myTile).EQ.1 |
160 |
#endif /* ALLOW_EXCH2 */ |
161 |
|
162 |
C-- avoid to count 3 times the same corner: |
163 |
southEastCorner = southEastCorner .AND. iG.EQ.2 |
164 |
northWestCorner = northWestCorner .AND. iG.EQ.1 |
165 |
northEastCorner = .FALSE. |
166 |
|
167 |
C-- S.W. corner: |
168 |
IF ( southWestCorner ) THEN |
169 |
i=1 |
170 |
j=1 |
171 |
vort3(i,j)= |
172 |
& +recip_rAz(i,j,bi,bj)/AZcorner*( |
173 |
& vVel(i,j,k,bi,bj)*dyC(i,j,bi,bj) |
174 |
& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
175 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
176 |
& ) |
177 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
178 |
& + _hFacW(i, j ,k,bi,bj) |
179 |
& + _hFacS( i ,j,k,bi,bj) |
180 |
& )/3. _d 0 |
181 |
ENDIF |
182 |
IF ( southEastCorner ) THEN |
183 |
C-- S.E. corner: |
184 |
i=iMax |
185 |
j=1 |
186 |
vort3(I,J)= |
187 |
& +recip_rAz(I,J,bi,bj)/AZcorner*( |
188 |
& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
189 |
& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
190 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
191 |
& ) |
192 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
193 |
& + _hFacW(i, j ,k,bi,bj) |
194 |
& + _hFacS(i-1,j,k,bi,bj) |
195 |
& )/3. _d 0 |
196 |
ENDIF |
197 |
IF ( northWestCorner ) THEN |
198 |
C-- N.W. corner: |
199 |
i=1 |
200 |
j=jMax |
201 |
vort3(i,j)= |
202 |
& +recip_rAz(i,j,bi,bj)/AZcorner*( |
203 |
& vVel(i,j,k,bi,bj)*dyC(i,j,bi,bj) |
204 |
& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
205 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
206 |
& ) |
207 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
208 |
& + _hFacW(i, j ,k,bi,bj) |
209 |
& + _hFacS( i ,j,k,bi,bj) |
210 |
& )/3. _d 0 |
211 |
ENDIF |
212 |
IF ( northEastCorner ) THEN |
213 |
C-- N.E. corner: |
214 |
i=iMax |
215 |
j=jMax |
216 |
vort3(i,j)= |
217 |
& +recip_rAz(i,j,bi,bj)/AZcorner*( |
218 |
& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
219 |
& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
220 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
221 |
& ) |
222 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
223 |
& + _hFacW(i, j ,k,bi,bj) |
224 |
& + _hFacS(i-1,j,k,bi,bj) |
225 |
& )/3. _d 0 |
226 |
ENDIF |
227 |
ENDIF |
228 |
|
229 |
C- Special stuff for North & South Poles, LatLon grid |
230 |
IF ( usingSphericalPolarGrid ) THEN |
231 |
IF (yG(1,sNy+1,bi,bj).EQ.90.) THEN |
232 |
jMax = sNy+1 |
233 |
j = jMax |
234 |
DO i=1,sNx |
235 |
vort3(i,j) = 0. |
236 |
vort3(1,j) = vort3(1,j) |
237 |
& + uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
238 |
hFacZ(i,j) = 0. |
239 |
#ifndef MONITOR_TEST_HFACZ |
240 |
hFacZ(1,j) = hFacZ(1,j) + _hFacW(i,j-1,k,bi,bj) |
241 |
ENDDO |
242 |
#else |
243 |
hFacZ(1,j) = hFacZ(1,j) + etaFld(i,j-1) |
244 |
ENDDO |
245 |
hFacZ(1,j) = sNx + hFacZ(1,j)*recip_drF(k) |
246 |
#endif |
247 |
hFacZ(1,j) = hFacZ(1,j) / FLOAT(sNx) |
248 |
vort3(1,j) = vort3(1,j)*recip_rAz(1,j,bi,bj) |
249 |
ENDIF |
250 |
IF (yG(1,1,bi,bj).EQ.-90.) THEN |
251 |
j = 1 |
252 |
DO i=1,sNx |
253 |
vort3(i,j) = 0. |
254 |
vort3(1,j) = vort3(1,j) |
255 |
& - uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
256 |
hFacZ(i,j) = 0. |
257 |
#ifndef MONITOR_TEST_HFACZ |
258 |
hFacZ(1,j) = hFacZ(1,j) + _hFacW(i,j,k,bi,bj) |
259 |
ENDDO |
260 |
#else |
261 |
hFacZ(1,j) = hFacZ(1,j) + etaFld(i,j) |
262 |
ENDDO |
263 |
hFacZ(1,j) = sNx + hFacZ(1,j)*recip_drF(k) |
264 |
#endif |
265 |
hFacZ(1,j) = hFacZ(1,j) / FLOAT(sNx) |
266 |
vort3(1,j) = vort3(1,j)*recip_rAz(1,j,bi,bj) |
267 |
ENDIF |
268 |
ENDIF |
269 |
|
270 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
271 |
|
272 |
DO J=1,jMax |
273 |
DO I=1,iMax |
274 |
IF (hFacZ(i,j).GT.0. _d 0) THEN |
275 |
tmpVal = vort3(i,j) |
276 |
tmpAre = rAz(i,j,bi,bj)*drF(k) |
277 |
tmpVol = rAz(i,j,bi,bj)*drF(k)*hFacZ(i,j) |
278 |
theArea= theArea + tmpAre |
279 |
C- min,max of relative vorticity ("r") |
280 |
theMin = MIN(theMin,tmpVal) |
281 |
theMax = MAX(theMax,tmpVal) |
282 |
C- average & std.dev of absolute vorticity ("a") |
283 |
tmpVal = tmpVal + fCoriG(i,j,bi,bj) |
284 |
theMean= theMean+ tmpAre*tmpVal |
285 |
theVar = theVar + tmpAre*tmpVal*tmpVal |
286 |
C- average & std.dev of potential vorticity ("p") |
287 |
tmpVal = tmpVal / hFacZ(i,j) |
288 |
theVol = theVol + tmpVol |
289 |
volMean= volMean+ tmpVol*tmpVal |
290 |
volVar = volVar + tmpVol*tmpVal*tmpVal |
291 |
ENDIF |
292 |
ENDDO |
293 |
ENDDO |
294 |
|
295 |
ENDDO |
296 |
ENDDO |
297 |
ENDDO |
298 |
|
299 |
theMin = -theMin |
300 |
_GLOBAL_MAX_R8(theMin, myThid) |
301 |
_GLOBAL_MAX_R8(theMax, myThid) |
302 |
_GLOBAL_SUM_R8(theArea,myThid) |
303 |
_GLOBAL_SUM_R8(theVol, myThid) |
304 |
_GLOBAL_SUM_R8(theMean,myThid) |
305 |
_GLOBAL_SUM_R8(theVar, myThid) |
306 |
_GLOBAL_SUM_R8(volMean,myThid) |
307 |
_GLOBAL_SUM_R8(volVar ,myThid) |
308 |
theMin = -theMin |
309 |
IF (theArea.GT.0.) THEN |
310 |
theMean= theMean/theArea |
311 |
theVar = theVar /theArea |
312 |
theVar = theVar - theMean*theMean |
313 |
c IF (theVar.GT.0.) theSD = SQRT(theVar) |
314 |
IF (theVar.GT.0.) theVar = SQRT(theVar) |
315 |
ENDIF |
316 |
IF (theVol.GT.0.) THEN |
317 |
volMean= volMean/theVol |
318 |
volVar = volVar /theVol |
319 |
volVar = volVar - volMean*volMean |
320 |
IF (volVar.GT.0.) theSD = SQRT(volVar) |
321 |
ENDIF |
322 |
|
323 |
C- Print stats for (relative/absolute) Vorticity AND Pot.Vort. |
324 |
CALL MON_SET_PREF('vort',myThid) |
325 |
CALL MON_OUT_RL(mon_string_none,theMin, '_r_min', myThid) |
326 |
CALL MON_OUT_RL(mon_string_none,theMax, '_r_max', myThid) |
327 |
CALL MON_OUT_RL(mon_string_none,theMean,'_a_mean', myThid) |
328 |
CALL MON_OUT_RL(mon_string_none,theVar, '_a_sd', myThid) |
329 |
CALL MON_OUT_RL(mon_string_none,volMean,'_p_mean', myThid) |
330 |
CALL MON_OUT_RL(mon_string_none,theSD, '_p_sd', myThid) |
331 |
c CALL MON_OUT_RL(mon_string_none,theVol,mon_foot_vol,myThid) |
332 |
|
333 |
RETURN |
334 |
END |