1 |
C $Header: /u/gcmpack/models/MITgcmUV/pkg/monitor/mon_vort3.F,v 1.1 2003/05/02 22:27:01 jmc Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
#include "MONITOR_OPTIONS.h" |
5 |
|
6 |
SUBROUTINE MON_VORT3( |
7 |
I myIter, myThid ) |
8 |
C *==========================================================* |
9 |
C | SUBROUTINE MON_VORT3 |
10 |
C | o Calculates stats for Vorticity (z-component) |
11 |
C *==========================================================* |
12 |
IMPLICIT NONE |
13 |
|
14 |
C === Global data === |
15 |
#include "SIZE.h" |
16 |
#include "EEPARAMS.h" |
17 |
#include "PARAMS.h" |
18 |
#include "DYNVARS.h" |
19 |
#include "MONITOR.h" |
20 |
#include "GRID.h" |
21 |
|
22 |
C === Routine arguments === |
23 |
INTEGER myIter, myThid |
24 |
|
25 |
C === Local variables ==== |
26 |
INTEGER bi,bj,i,j,k |
27 |
INTEGER iMax,jMax |
28 |
_RL numPnts, theVol, theArea, tmpVal, tmpAre, tmpVol |
29 |
_RL theMin, theMax, theMean, theVar, volMean, volVar, theSD |
30 |
_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
31 |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
32 |
_RL AZcorner |
33 |
#ifdef MONITOR_TEST_HFACZ |
34 |
_RL tmpFac |
35 |
_RL etaFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
36 |
#endif |
37 |
|
38 |
theMin = 1. _d 20 |
39 |
theMax =-1. _d 20 |
40 |
theArea= 0. _d 0 |
41 |
theMean= 0. _d 0 |
42 |
theVar = 0. _d 0 |
43 |
theVol = 0. _d 0 |
44 |
volMean= 0. _d 0 |
45 |
volVar = 0. _d 0 |
46 |
theSD = 0. _d 0 |
47 |
AZcorner = 1. _d 0 |
48 |
|
49 |
DO bj=myByLo(myThid),myByHi(myThid) |
50 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
51 |
#ifdef MONITOR_TEST_HFACZ |
52 |
tmpFac = 0. |
53 |
IF( implicDiv2Dflow.GT.0 .AND. abEps.GT.-0.5 ) |
54 |
& tmpFac = (0.5+abEps) / implicDiv2Dflow |
55 |
DO j=1-Oly,sNy+Oly |
56 |
DO i=1-Olx,sNx+Olx |
57 |
etaFld(i,j) = etaH(i,j,bi,bj) |
58 |
& + tmpFac*(etaN(i,j,bi,bj)-etaH(i,j,bi,bj)) |
59 |
ENDDO |
60 |
ENDDO |
61 |
#endif |
62 |
DO k=1,Nr |
63 |
|
64 |
iMax = sNx |
65 |
jMax = sNy |
66 |
DO j=1,sNy |
67 |
DO i=1,sNx |
68 |
#ifdef MONITOR_TEST_HFACZ |
69 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
70 |
C- Test various definitions of hFacZ (for 1 layer, flat bottom ocean): |
71 |
c hFacZ(i,j) = 1. + |
72 |
c & 0.25 _d 0*( etaFld(i-1,j-1) |
73 |
c & + etaFld( i ,j-1) |
74 |
c & + etaFld(i-1, j ) |
75 |
c & + etaFld( i , j ) |
76 |
c & )*recip_drF(k) |
77 |
c hFacZ(i,j) = 1. + |
78 |
c & 0.25 _d 0*( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
79 |
c & + etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
80 |
c & + etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
81 |
c & + etaFld( i , j )*rA( i , j ,bi,bj) |
82 |
c & )*recip_drF(k)*recip_rAz(i,j,bi,bj) |
83 |
hFacZ(i,j) = 1. + 0.125 _d 0* |
84 |
& ( ( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
85 |
& +etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
86 |
& )*recip_rAw(i,j-1,bi,bj) |
87 |
& + ( etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
88 |
& +etaFld( i , j )*rA( i , j ,bi,bj) |
89 |
& )*recip_rAw(i, j ,bi,bj) |
90 |
& + ( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
91 |
& +etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
92 |
& )*recip_rAs(i-1,j,bi,bj) |
93 |
& + ( etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
94 |
& + etaFld( i , j )*rA( i , j ,bi,bj) |
95 |
& )*recip_rAs( i ,j,bi,bj) |
96 |
& )*recip_drF(k) |
97 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
98 |
#else |
99 |
C- Standard definition of hFac at vorticity point: |
100 |
hFacZ(i,j) = |
101 |
& 0.25 _d 0*( _hFacW(i,j-1,k,bi,bj) |
102 |
& + _hFacW(i, j ,k,bi,bj) |
103 |
& + _hFacS(i-1,j,k,bi,bj) |
104 |
& + _hFacS( i ,j,k,bi,bj) |
105 |
& ) |
106 |
#endif /* MONITOR_TEST_HFACZ */ |
107 |
vort3(i,j) = recip_rAz(i,j,bi,bj)*( |
108 |
& vVel( i ,j,k,bi,bj)*dyC( i ,j,bi,bj) |
109 |
& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
110 |
& -uVel(i, j ,k,bi,bj)*dxC(i, j ,bi,bj) |
111 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
112 |
& ) |
113 |
ENDDO |
114 |
ENDDO |
115 |
|
116 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
117 |
C Special stuff for Cubed Sphere: |
118 |
IF (useCubedSphereExchange) THEN |
119 |
c AZcorner = 0.75 _d 0 |
120 |
iMax = sNx+1 |
121 |
jMax = sNy+1 |
122 |
DO i=1,iMax |
123 |
hFacZ(i,jMax)=0. |
124 |
vort3(i,jMax)=0. |
125 |
ENDDO |
126 |
DO j=1,jMax |
127 |
hFacZ(iMax,j)=0. |
128 |
vort3(iMax,j)=0. |
129 |
ENDDO |
130 |
C-- S.W. corner: |
131 |
i=1 |
132 |
j=1 |
133 |
vort3(i,j)= |
134 |
& +recip_rAz(i,j,bi,bj)/AZcorner*( |
135 |
& vVel(i,j,k,bi,bj)*dyC(i,j,bi,bj) |
136 |
& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
137 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
138 |
& ) |
139 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
140 |
& + _hFacW(i, j ,k,bi,bj) |
141 |
& + _hFacS( i ,j,k,bi,bj) |
142 |
& )/3. _d 0 |
143 |
C-- S.E. corner: |
144 |
i=iMax |
145 |
j=1 |
146 |
vort3(I,J)= |
147 |
& +recip_rAz(I,J,bi,bj)/AZcorner*( |
148 |
& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
149 |
& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
150 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
151 |
& ) |
152 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
153 |
& + _hFacW(i, j ,k,bi,bj) |
154 |
& + _hFacS(i-1,j,k,bi,bj) |
155 |
& )/3. _d 0 |
156 |
C-- N.W. corner: |
157 |
i=1 |
158 |
j=jMax |
159 |
vort3(i,j)= |
160 |
& +recip_rAz(i,j,bi,bj)/AZcorner*( |
161 |
& vVel(i,j,k,bi,bj)*dyC(i,j,bi,bj) |
162 |
& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
163 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
164 |
& ) |
165 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
166 |
& + _hFacW(i, j ,k,bi,bj) |
167 |
& + _hFacS( i ,j,k,bi,bj) |
168 |
& )/3. _d 0 |
169 |
C-- N.E. corner: |
170 |
i=iMax |
171 |
j=jMax |
172 |
vort3(i,j)= |
173 |
& +recip_rAz(i,j,bi,bj)/AZcorner*( |
174 |
& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
175 |
& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
176 |
& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
177 |
& ) |
178 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
179 |
& + _hFacW(i, j ,k,bi,bj) |
180 |
& + _hFacS(i-1,j,k,bi,bj) |
181 |
& )/3. _d 0 |
182 |
ENDIF |
183 |
|
184 |
C- Special stuff for North & South Poles, LatLon grid |
185 |
IF ( usingSphericalPolarGrid ) THEN |
186 |
IF (yG(1,sNy+1,bi,bj).EQ.90.) THEN |
187 |
jMax = sNy+1 |
188 |
j = jMax |
189 |
DO i=1,sNx |
190 |
vort3(i,j) = 0. |
191 |
vort3(1,j) = vort3(1,j) |
192 |
& + uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
193 |
hFacZ(i,j) = 0. |
194 |
#ifndef MONITOR_TEST_HFACZ |
195 |
hFacZ(1,j) = hFacZ(1,j) + _hFacW(i,j-1,k,bi,bj) |
196 |
ENDDO |
197 |
#else |
198 |
hFacZ(1,j) = hFacZ(1,j) + etaFld(i,j-1) |
199 |
ENDDO |
200 |
hFacZ(1,j) = sNx + hFacZ(1,j)*recip_drF(k) |
201 |
#endif |
202 |
hFacZ(1,j) = hFacZ(1,j) / FLOAT(sNx) |
203 |
vort3(1,j) = vort3(1,j)*recip_rAz(1,j,bi,bj) |
204 |
ENDIF |
205 |
IF (yG(1,1,bi,bj).EQ.-90.) THEN |
206 |
j = 1 |
207 |
DO i=1,sNx |
208 |
vort3(i,j) = 0. |
209 |
vort3(1,j) = vort3(1,j) |
210 |
& - uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
211 |
hFacZ(i,j) = 0. |
212 |
#ifndef MONITOR_TEST_HFACZ |
213 |
hFacZ(1,j) = hFacZ(1,j) + _hFacW(i,j,k,bi,bj) |
214 |
ENDDO |
215 |
#else |
216 |
hFacZ(1,j) = hFacZ(1,j) + etaFld(i,j) |
217 |
ENDDO |
218 |
hFacZ(1,j) = sNx + hFacZ(1,j)*recip_drF(k) |
219 |
#endif |
220 |
hFacZ(1,j) = hFacZ(1,j) / FLOAT(sNx) |
221 |
vort3(1,j) = vort3(1,j)*recip_rAz(1,j,bi,bj) |
222 |
ENDIF |
223 |
ENDIF |
224 |
|
225 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
226 |
|
227 |
DO J=1,jMax |
228 |
DO I=1,iMax |
229 |
IF (hFacZ(i,j).GT.0. _d 0) THEN |
230 |
tmpVal = vort3(i,j) |
231 |
tmpAre = rAz(i,j,bi,bj)*drF(k) |
232 |
tmpVol = rAz(i,j,bi,bj)*drF(k)*hFacZ(i,j) |
233 |
theArea= theArea + tmpAre |
234 |
C- min,max of relative vorticity ("r") |
235 |
theMin = MIN(theMin,tmpVal) |
236 |
theMax = MAX(theMax,tmpVal) |
237 |
C- average & std.dev of absolute vorticity ("a") |
238 |
tmpVal = tmpVal + fCoriG(i,j,bi,bj) |
239 |
theMean= theMean+ tmpAre*tmpVal |
240 |
theVar = theVar + tmpAre*tmpVal*tmpVal |
241 |
C- average & std.dev of potential vorticity ("p") |
242 |
tmpVal = tmpVal / hFacZ(i,j) |
243 |
theVol = theVol + tmpVol |
244 |
volMean= volMean+ tmpVol*tmpVal |
245 |
volVar = volVar + tmpVol*tmpVal*tmpVal |
246 |
ENDIF |
247 |
ENDDO |
248 |
ENDDO |
249 |
|
250 |
ENDDO |
251 |
ENDDO |
252 |
ENDDO |
253 |
|
254 |
theMin = -theMin |
255 |
_GLOBAL_MAX_R8(theMin, myThid) |
256 |
_GLOBAL_MAX_R8(theMax, myThid) |
257 |
_GLOBAL_SUM_R8(theArea,myThid) |
258 |
_GLOBAL_SUM_R8(theVol, myThid) |
259 |
_GLOBAL_SUM_R8(theMean,myThid) |
260 |
_GLOBAL_SUM_R8(theVar, myThid) |
261 |
_GLOBAL_SUM_R8(volMean,myThid) |
262 |
_GLOBAL_SUM_R8(volVar ,myThid) |
263 |
theMin = -theMin |
264 |
IF (theArea.GT.0.) THEN |
265 |
theMean= theMean/theArea |
266 |
theVar = theVar /theArea |
267 |
theVar = theVar - theMean*theMean |
268 |
c IF (theVar.GT.0.) theSD = SQRT(theVar) |
269 |
IF (theVar.GT.0.) theVar = SQRT(theVar) |
270 |
ENDIF |
271 |
IF (theVol.GT.0.) THEN |
272 |
volMean= volMean/theVol |
273 |
volVar = volVar /theVol |
274 |
volVar = volVar - volMean*volMean |
275 |
IF (volVar.GT.0.) theSD = SQRT(volVar) |
276 |
ENDIF |
277 |
|
278 |
C- Print stats for (relative/absolute) Vorticity AND Pot.Vort. |
279 |
CALL MON_SET_PREF('vort',myThid) |
280 |
CALL MON_OUT_RL(mon_string_none,theMin, '_r_min', myThid) |
281 |
CALL MON_OUT_RL(mon_string_none,theMax, '_r_max', myThid) |
282 |
CALL MON_OUT_RL(mon_string_none,theMean,'_a_mean', myThid) |
283 |
CALL MON_OUT_RL(mon_string_none,theVar, '_a_sd', myThid) |
284 |
CALL MON_OUT_RL(mon_string_none,volMean,'_p_mean', myThid) |
285 |
CALL MON_OUT_RL(mon_string_none,theSD, '_p_sd', myThid) |
286 |
c CALL MON_OUT_RL(mon_string_none,theVol,mon_foot_vol,myThid) |
287 |
|
288 |
RETURN |
289 |
END |