1 |
mlosch |
1.16 |
C $Header: /u/gcmpack/MITgcm/model/src/find_alpha.F,v 1.15 2003/10/27 22:32:55 heimbach Exp $ |
2 |
cnh |
1.5 |
C $Name: $ |
3 |
adcroft |
1.1 |
|
4 |
|
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#include "CPP_OPTIONS.h" |
5 |
|
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#define USE_FACTORIZED_POLY |
6 |
|
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|
7 |
cnh |
1.5 |
CBOP |
8 |
|
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C !ROUTINE: FIND_ALPHA |
9 |
|
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C !INTERFACE: |
10 |
|
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SUBROUTINE FIND_ALPHA ( |
11 |
mlosch |
1.10 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
12 |
mlosch |
1.16 |
O alphaloc, |
13 |
|
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I myThid ) |
14 |
adcroft |
1.1 |
|
15 |
cnh |
1.5 |
C !DESCRIPTION: \bv |
16 |
|
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C *==========================================================* |
17 |
|
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C | o SUBROUTINE FIND_ALPHA |
18 |
|
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C | Calculates [drho(S,T,z) / dT] of a horizontal slice |
19 |
|
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C *==========================================================* |
20 |
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C | |
21 |
|
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C | k - is the Theta/Salt level |
22 |
|
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C | kRef - determines pressure reference level |
23 |
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C | (not used in 'LINEAR' mode) |
24 |
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C | |
25 |
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C | alphaloc - drho / dT (kg/m^3/C) |
26 |
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C | |
27 |
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C *==========================================================* |
28 |
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C \ev |
29 |
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30 |
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C !USES: |
31 |
|
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IMPLICIT NONE |
32 |
jmc |
1.12 |
C === Global variables === |
33 |
adcroft |
1.1 |
#include "SIZE.h" |
34 |
|
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#include "DYNVARS.h" |
35 |
|
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#include "EEPARAMS.h" |
36 |
|
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#include "PARAMS.h" |
37 |
mlosch |
1.6 |
#include "EOS.h" |
38 |
|
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#include "GRID.h" |
39 |
adcroft |
1.1 |
|
40 |
cnh |
1.5 |
C !INPUT/OUTPUT PARAMETERS: |
41 |
jmc |
1.12 |
C == Routine arguments == |
42 |
mlosch |
1.16 |
C k :: Level of Theta/Salt slice |
43 |
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C kRef :: Pressure reference level |
44 |
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c myThid :: thread number for this instance of the routine |
45 |
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INTEGER myThid |
46 |
jmc |
1.12 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
47 |
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INTEGER k |
48 |
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INTEGER kRef |
49 |
adcroft |
1.1 |
_RL alphaloc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
50 |
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|
51 |
cnh |
1.5 |
C !LOCAL VARIABLES: |
52 |
jmc |
1.12 |
C == Local variables == |
53 |
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INTEGER i,j |
54 |
adcroft |
1.1 |
_RL refTemp,refSalt,tP,sP |
55 |
mlosch |
1.9 |
_RL t1, t2, t3, s1, s3o2, p1, p2, sp5, p1t1 |
56 |
mlosch |
1.6 |
_RL drhoP0dtheta, drhoP0dthetaFresh, drhoP0dthetaSalt |
57 |
|
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_RL dKdtheta, dKdthetaFresh, dKdthetaSalt, dKdthetaPres |
58 |
jmc |
1.12 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
59 |
|
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_RL rhoP0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
60 |
mlosch |
1.6 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
61 |
mlosch |
1.9 |
_RL dnum_dtheta, dden_dtheta |
62 |
jmc |
1.12 |
_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
63 |
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_RL rhoLoc (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
64 |
cnh |
1.5 |
CEOP |
65 |
adcroft |
1.1 |
|
66 |
mlosch |
1.11 |
#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
67 |
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CALL LOOK_FOR_NEG_SALINITY( bi, bj, iMin, iMax, jMin, jMax, k, |
68 |
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& sFld, myThid ) |
69 |
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#endif |
70 |
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|
71 |
jmc |
1.12 |
IF (equationOfState.EQ.'LINEAR') THEN |
72 |
adcroft |
1.1 |
|
73 |
jmc |
1.12 |
DO j=jMin,jMax |
74 |
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DO i=iMin,iMax |
75 |
adcroft |
1.1 |
alphaloc(i,j) = -rhonil * tAlpha |
76 |
jmc |
1.12 |
ENDDO |
77 |
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ENDDO |
78 |
adcroft |
1.1 |
|
79 |
jmc |
1.12 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
80 |
adcroft |
1.1 |
|
81 |
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refTemp=eosRefT(kRef) |
82 |
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refSalt=eosRefS(kRef) |
83 |
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|
84 |
jmc |
1.12 |
DO j=jMin,jMax |
85 |
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DO i=iMin,iMax |
86 |
adcroft |
1.1 |
tP=theta(i,j,k,bi,bj)-refTemp |
87 |
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sP=salt(i,j,k,bi,bj)-refSalt |
88 |
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#ifdef USE_FACTORIZED_POLY |
89 |
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alphaloc(i,j) = |
90 |
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& ( eosC(6,kRef) |
91 |
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& *tP*3. |
92 |
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& +(eosC(7,kRef)*sP + eosC(3,kRef))*2. |
93 |
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& )*tP |
94 |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
95 |
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& |
96 |
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#else |
97 |
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alphaloc(i,j) = |
98 |
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& eosC(1,kRef) + |
99 |
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& eosC(3,kRef)*tP*2. + |
100 |
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& eosC(4,kRef) *sP + |
101 |
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& eosC(6,kRef)*tP*tP*3. + |
102 |
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& eosC(7,kRef)*tP*2. *sP + |
103 |
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& eosC(8,kRef) *sP*sP |
104 |
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#endif |
105 |
jmc |
1.12 |
ENDDO |
106 |
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ENDDO |
107 |
adcroft |
1.1 |
|
108 |
jmc |
1.12 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
109 |
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& .OR. equationOfState.EQ.'UNESCO' ) THEN |
110 |
mlosch |
1.6 |
C nonlinear equation of state in pressure coordinates |
111 |
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|
112 |
jmc |
1.12 |
CALL PRESSURE_FOR_EOS( |
113 |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
114 |
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O locPres, |
115 |
|
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I myThid ) |
116 |
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|
117 |
mlosch |
1.6 |
CALL FIND_RHOP0( |
118 |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
119 |
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I theta, salt, |
120 |
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O rhoP0, |
121 |
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I myThid ) |
122 |
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123 |
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CALL FIND_BULKMOD( |
124 |
jmc |
1.12 |
I bi, bj, iMin, iMax, jMin, jMax, k, |
125 |
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I locPres, theta, salt, |
126 |
mlosch |
1.6 |
O bulkMod, |
127 |
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I myThid ) |
128 |
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|
129 |
jmc |
1.12 |
DO j=jMin,jMax |
130 |
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DO i=iMin,iMax |
131 |
mlosch |
1.6 |
|
132 |
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C abbreviations |
133 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
134 |
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t2 = t1*t1 |
135 |
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t3 = t2*t1 |
136 |
mlosch |
1.6 |
|
137 |
mlosch |
1.9 |
s1 = salt(i,j,k,bi,bj) |
138 |
jmc |
1.14 |
IF ( s1 .GT. 0. _d 0 ) THEN |
139 |
jmc |
1.12 |
s3o2 = SQRT(s1*s1*s1) |
140 |
jmc |
1.14 |
ELSE |
141 |
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s1 = 0. _d 0 |
142 |
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s3o2 = 0. _d 0 |
143 |
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ENDIF |
144 |
mlosch |
1.6 |
|
145 |
jmc |
1.12 |
p1 = locPres(i,j)*SItoBar |
146 |
mlosch |
1.9 |
p2 = p1*p1 |
147 |
mlosch |
1.6 |
|
148 |
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C d(rho)/d(theta) |
149 |
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C of fresh water at p = 0 |
150 |
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drhoP0dthetaFresh = |
151 |
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& eosJMDCFw(2) |
152 |
mlosch |
1.9 |
& + 2.*eosJMDCFw(3)*t1 |
153 |
mlosch |
1.6 |
& + 3.*eosJMDCFw(4)*t2 |
154 |
|
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& + 4.*eosJMDCFw(5)*t3 |
155 |
mlosch |
1.9 |
& + 5.*eosJMDCFw(6)*t3*t1 |
156 |
mlosch |
1.6 |
C of salt water at p = 0 |
157 |
|
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drhoP0dthetaSalt = |
158 |
mlosch |
1.9 |
& s1*( |
159 |
mlosch |
1.6 |
& eosJMDCSw(2) |
160 |
mlosch |
1.9 |
& + 2.*eosJMDCSw(3)*t1 |
161 |
mlosch |
1.6 |
& + 3.*eosJMDCSw(4)*t2 |
162 |
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& + 4.*eosJMDCSw(5)*t3 |
163 |
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& ) |
164 |
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& + s3o2*( |
165 |
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& + eosJMDCSw(7) |
166 |
mlosch |
1.9 |
& + 2.*eosJMDCSw(8)*t1 |
167 |
mlosch |
1.6 |
& ) |
168 |
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C d(bulk modulus)/d(theta) |
169 |
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C of fresh water at p = 0 |
170 |
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dKdthetaFresh = |
171 |
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& eosJMDCKFw(2) |
172 |
mlosch |
1.9 |
& + 2.*eosJMDCKFw(3)*t1 |
173 |
mlosch |
1.6 |
& + 3.*eosJMDCKFw(4)*t2 |
174 |
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& + 4.*eosJMDCKFw(5)*t3 |
175 |
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C of sea water at p = 0 |
176 |
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dKdthetaSalt = |
177 |
mlosch |
1.9 |
& s1*( eosJMDCKSw(2) |
178 |
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& + 2.*eosJMDCKSw(3)*t1 |
179 |
mlosch |
1.6 |
& + 3.*eosJMDCKSw(4)*t2 |
180 |
|
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& ) |
181 |
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& + s3o2*( eosJMDCKSw(6) |
182 |
mlosch |
1.9 |
& + 2.*eosJMDCKSw(7)*t1 |
183 |
mlosch |
1.6 |
& ) |
184 |
|
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C of sea water at p |
185 |
|
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dKdthetaPres = |
186 |
mlosch |
1.9 |
& p1*( eosJMDCKP(2) |
187 |
|
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& + 2.*eosJMDCKP(3)*t1 |
188 |
mlosch |
1.6 |
& + 3.*eosJMDCKP(4)*t2 |
189 |
|
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& ) |
190 |
mlosch |
1.9 |
& + p1*s1*( eosJMDCKP(6) |
191 |
|
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& + 2.*eosJMDCKP(7)*t1 |
192 |
mlosch |
1.6 |
& ) |
193 |
|
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& + p2*( eosJMDCKP(10) |
194 |
mlosch |
1.9 |
& + 2.*eosJMDCKP(11)*t1 |
195 |
mlosch |
1.6 |
& ) |
196 |
mlosch |
1.9 |
& + p2*s1*( eosJMDCKP(13) |
197 |
|
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& + 2.*eosJMDCKP(14)*t1 |
198 |
mlosch |
1.6 |
& ) |
199 |
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|
200 |
|
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drhoP0dtheta = drhoP0dthetaFresh |
201 |
|
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& + drhoP0dthetaSalt |
202 |
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dKdtheta = dKdthetaFresh |
203 |
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& + dKdthetaSalt |
204 |
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& + dKdthetaPres |
205 |
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alphaloc(i,j) = |
206 |
|
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& ( bulkmod(i,j)**2*drhoP0dtheta |
207 |
mlosch |
1.9 |
& - bulkmod(i,j)*p1*drhoP0dtheta |
208 |
|
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& - rhoP0(i,j)*p1*dKdtheta ) |
209 |
|
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& /( bulkmod(i,j) - p1 )**2 |
210 |
mlosch |
1.6 |
|
211 |
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|
212 |
jmc |
1.12 |
ENDDO |
213 |
|
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ENDDO |
214 |
|
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ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
215 |
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|
216 |
|
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CALL PRESSURE_FOR_EOS( |
217 |
|
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
218 |
|
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O locPres, |
219 |
|
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I myThid ) |
220 |
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|
221 |
heimbach |
1.15 |
c$$$ CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, |
222 |
|
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c$$$ & kRef, theta, salt, rhoLoc, myThid ) |
223 |
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|
224 |
|
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CALL FIND_RHONUM( bi, bj, iMin, iMax, jMin, jMax, k, |
225 |
|
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& locPres, theta, salt, rhoLoc, myThid ) |
226 |
heimbach |
1.13 |
|
227 |
jmc |
1.12 |
CALL FIND_RHODEN( bi, bj, iMin, iMax, jMin, jMax, k, |
228 |
|
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& locPres, theta, salt, rhoDen, myThid ) |
229 |
mlosch |
1.9 |
|
230 |
jmc |
1.12 |
DO j=jMin,jMax |
231 |
|
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DO i=iMin,iMax |
232 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
233 |
|
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t2 = t1*t1 |
234 |
|
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s1 = salt(i,j,k,bi,bj) |
235 |
jmc |
1.14 |
IF ( s1 .GT. 0. _d 0 ) THEN |
236 |
jmc |
1.12 |
sp5 = SQRT(s1) |
237 |
jmc |
1.14 |
ELSE |
238 |
|
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s1 = 0. _d 0 |
239 |
|
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sp5 = 0. _d 0 |
240 |
|
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ENDIF |
241 |
mlosch |
1.9 |
|
242 |
jmc |
1.12 |
p1 = locPres(i,j)*SItodBar |
243 |
mlosch |
1.9 |
p1t1 = p1*t1 |
244 |
|
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|
245 |
|
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dnum_dtheta = eosMDJWFnum(1) |
246 |
|
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& + t1*(2.*eosMDJWFnum(2) + 3.*eosMDJWFnum(3)*t1) |
247 |
|
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& + eosMDJWFnum(5)*s1 |
248 |
jmc |
1.14 |
& + p1t1*(2.*eosMDJWFnum(8) + 2.*eosMDJWFnum(11)*p1) |
249 |
mlosch |
1.9 |
|
250 |
|
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dden_dtheta = eosMDJWFden(1) |
251 |
|
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& + t1*(2.*eosMDJWFden(2) |
252 |
|
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& + t1*(3.*eosMDJWFden(3) |
253 |
|
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& + 4.*eosMDJWFden(4)*t1 ) ) |
254 |
|
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& + s1*(eosMDJWFden(6) |
255 |
|
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& + t1*(3.*eosMDJWFden(7)*t1 |
256 |
|
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& + 2.*eosMDJWFden(9)*sp5 ) ) |
257 |
|
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& + p1*p1*(3.*eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) |
258 |
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|
259 |
|
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alphaLoc(i,j) = rhoDen(i,j)*(dnum_dtheta |
260 |
heimbach |
1.15 |
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dtheta) |
261 |
mlosch |
1.9 |
|
262 |
jmc |
1.12 |
ENDDO |
263 |
|
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ENDDO |
264 |
mlosch |
1.9 |
|
265 |
jmc |
1.12 |
ELSE |
266 |
|
|
WRITE(*,*) 'FIND_ALPHA: equationOfState = ',equationOfState |
267 |
|
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STOP 'FIND_ALPHA: "equationOfState" has illegal value' |
268 |
|
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ENDIF |
269 |
adcroft |
1.1 |
|
270 |
jmc |
1.12 |
RETURN |
271 |
|
|
END |
272 |
adcroft |
1.1 |
|
273 |
jmc |
1.12 |
SUBROUTINE FIND_BETA ( |
274 |
mlosch |
1.10 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
275 |
mlosch |
1.16 |
O betaloc, |
276 |
|
|
I myThid ) |
277 |
adcroft |
1.1 |
C /==========================================================\ |
278 |
|
|
C | o SUBROUTINE FIND_BETA | |
279 |
|
|
C | Calculates [drho(S,T,z) / dS] of a horizontal slice | |
280 |
|
|
C |==========================================================| |
281 |
|
|
C | | |
282 |
|
|
C | k - is the Theta/Salt level | |
283 |
|
|
C | kRef - determines pressure reference level | |
284 |
|
|
C | (not used in 'LINEAR' mode) | |
285 |
|
|
C | | |
286 |
|
|
C | betaloc - drho / dS (kg/m^3/PSU) | |
287 |
|
|
C | | |
288 |
|
|
C \==========================================================/ |
289 |
jmc |
1.12 |
IMPLICIT NONE |
290 |
adcroft |
1.1 |
|
291 |
jmc |
1.12 |
C === Global variables === |
292 |
adcroft |
1.1 |
#include "SIZE.h" |
293 |
|
|
#include "DYNVARS.h" |
294 |
|
|
#include "EEPARAMS.h" |
295 |
|
|
#include "PARAMS.h" |
296 |
mlosch |
1.6 |
#include "EOS.h" |
297 |
|
|
#include "GRID.h" |
298 |
adcroft |
1.1 |
|
299 |
jmc |
1.12 |
C == Routine arguments == |
300 |
mlosch |
1.16 |
C k :: Level of Theta/Salt slice |
301 |
|
|
C kRef :: Pressure reference level |
302 |
|
|
c myThid :: thread number for this instance of the routine |
303 |
|
|
INTEGER myThid |
304 |
jmc |
1.12 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
305 |
|
|
INTEGER k |
306 |
|
|
INTEGER kRef |
307 |
adcroft |
1.1 |
_RL betaloc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
308 |
|
|
|
309 |
jmc |
1.12 |
C == Local variables == |
310 |
|
|
INTEGER i,j |
311 |
adcroft |
1.1 |
_RL refTemp,refSalt,tP,sP |
312 |
mlosch |
1.9 |
_RL t1, t2, t3, s1, s3o2, p1, sp5, p1t1 |
313 |
mlosch |
1.6 |
_RL drhoP0dS |
314 |
|
|
_RL dKdS, dKdSSalt, dKdSPres |
315 |
jmc |
1.12 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
316 |
|
|
_RL rhoP0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
317 |
mlosch |
1.6 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
318 |
mlosch |
1.9 |
_RL dnum_dsalt, dden_dsalt |
319 |
jmc |
1.12 |
_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
320 |
|
|
_RL rhoLoc (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
321 |
mlosch |
1.6 |
CEOP |
322 |
|
|
|
323 |
mlosch |
1.11 |
#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
324 |
|
|
CALL LOOK_FOR_NEG_SALINITY( bi, bj, iMin, iMax, jMin, jMax, k, |
325 |
|
|
& sFld, myThid ) |
326 |
|
|
#endif |
327 |
|
|
|
328 |
jmc |
1.12 |
IF (equationOfState.EQ.'LINEAR') THEN |
329 |
adcroft |
1.1 |
|
330 |
jmc |
1.12 |
DO j=jMin,jMax |
331 |
|
|
DO i=iMin,iMax |
332 |
adcroft |
1.1 |
betaloc(i,j) = rhonil * sBeta |
333 |
jmc |
1.12 |
ENDDO |
334 |
|
|
ENDDO |
335 |
adcroft |
1.1 |
|
336 |
jmc |
1.12 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
337 |
adcroft |
1.1 |
|
338 |
|
|
refTemp=eosRefT(kRef) |
339 |
|
|
refSalt=eosRefS(kRef) |
340 |
|
|
|
341 |
jmc |
1.12 |
DO j=jMin,jMax |
342 |
|
|
DO i=iMin,iMax |
343 |
adcroft |
1.1 |
tP=theta(i,j,k,bi,bj)-refTemp |
344 |
|
|
sP=salt(i,j,k,bi,bj)-refSalt |
345 |
|
|
#ifdef USE_FACTORIZED_POLY |
346 |
|
|
betaloc(i,j) = |
347 |
|
|
& ( eosC(9,kRef)*sP*3. + eosC(5,kRef)*2. )*sP + eosC(2,kRef) |
348 |
|
|
& + ( eosC(7,kRef)*tP |
349 |
|
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& +eosC(8,kRef)*sP*2. + eosC(4,kRef) |
350 |
|
|
& )*tP |
351 |
|
|
#else |
352 |
|
|
betaloc(i,j) = |
353 |
|
|
& eosC(2,kRef) + |
354 |
|
|
& eosC(4,kRef)*tP + |
355 |
|
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& eosC(5,kRef) *sP*2. + |
356 |
|
|
& eosC(7,kRef)*tP*tP + |
357 |
|
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& eosC(8,kRef)*tP *sP*2. + |
358 |
|
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& eosC(9,kRef) *sP*sP*3. |
359 |
|
|
#endif |
360 |
jmc |
1.12 |
ENDDO |
361 |
|
|
ENDDO |
362 |
adcroft |
1.1 |
|
363 |
jmc |
1.12 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
364 |
|
|
& .OR. equationOfState.EQ.'UNESCO' ) THEN |
365 |
mlosch |
1.6 |
C nonlinear equation of state in pressure coordinates |
366 |
|
|
|
367 |
jmc |
1.12 |
CALL PRESSURE_FOR_EOS( |
368 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
369 |
|
|
O locPres, |
370 |
|
|
I myThid ) |
371 |
|
|
|
372 |
mlosch |
1.6 |
CALL FIND_RHOP0( |
373 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, k, |
374 |
|
|
I theta, salt, |
375 |
|
|
O rhoP0, |
376 |
|
|
I myThid ) |
377 |
|
|
|
378 |
|
|
CALL FIND_BULKMOD( |
379 |
jmc |
1.12 |
I bi, bj, iMin, iMax, jMin, jMax, k, |
380 |
|
|
I locPres, theta, salt, |
381 |
mlosch |
1.6 |
O bulkMod, |
382 |
|
|
I myThid ) |
383 |
|
|
|
384 |
jmc |
1.12 |
DO j=jMin,jMax |
385 |
|
|
DO i=iMin,iMax |
386 |
mlosch |
1.6 |
|
387 |
|
|
C abbreviations |
388 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
389 |
|
|
t2 = t1*t1 |
390 |
|
|
t3 = t2*t1 |
391 |
mlosch |
1.6 |
|
392 |
mlosch |
1.9 |
s1 = salt(i,j,k,bi,bj) |
393 |
jmc |
1.14 |
IF ( s1 .GT. 0. _d 0 ) THEN |
394 |
jmc |
1.12 |
s3o2 = 1.5*SQRT(s1) |
395 |
jmc |
1.14 |
ELSE |
396 |
|
|
s1 = 0. _d 0 |
397 |
|
|
s3o2 = 0. _d 0 |
398 |
|
|
ENDIF |
399 |
mlosch |
1.6 |
|
400 |
jmc |
1.12 |
p1 = locPres(i,j)*SItoBar |
401 |
mlosch |
1.6 |
|
402 |
|
|
C d(rho)/d(S) |
403 |
|
|
C of fresh water at p = 0 |
404 |
|
|
drhoP0dS = 0. _d 0 |
405 |
|
|
C of salt water at p = 0 |
406 |
|
|
drhoP0dS = drhoP0dS |
407 |
|
|
& + eosJMDCSw(1) |
408 |
mlosch |
1.9 |
& + eosJMDCSw(2)*t1 |
409 |
mlosch |
1.6 |
& + eosJMDCSw(3)*t2 |
410 |
|
|
& + eosJMDCSw(4)*t3 |
411 |
mlosch |
1.9 |
& + eosJMDCSw(5)*t3*t1 |
412 |
mlosch |
1.6 |
& + s3o2*( |
413 |
|
|
& eosJMDCSw(6) |
414 |
mlosch |
1.9 |
& + eosJMDCSw(7)*t1 |
415 |
mlosch |
1.6 |
& + eosJMDCSw(8)*t2 |
416 |
|
|
& ) |
417 |
mlosch |
1.9 |
& + 2*eosJMDCSw(9)*s1 |
418 |
mlosch |
1.6 |
C d(bulk modulus)/d(S) |
419 |
|
|
C of fresh water at p = 0 |
420 |
|
|
dKdS = 0. _d 0 |
421 |
|
|
C of sea water at p = 0 |
422 |
|
|
dKdSSalt = |
423 |
|
|
& eosJMDCKSw(1) |
424 |
mlosch |
1.9 |
& + eosJMDCKSw(2)*t1 |
425 |
mlosch |
1.6 |
& + eosJMDCKSw(3)*t2 |
426 |
|
|
& + eosJMDCKSw(4)*t3 |
427 |
|
|
& + s3o2*( eosJMDCKSw(5) |
428 |
mlosch |
1.9 |
& + eosJMDCKSw(6)*t1 |
429 |
mlosch |
1.6 |
& + eosJMDCKSw(7)*t2 |
430 |
|
|
& ) |
431 |
|
|
|
432 |
|
|
C of sea water at p |
433 |
|
|
dKdSPres = |
434 |
mlosch |
1.9 |
& p1*( eosJMDCKP(5) |
435 |
|
|
& + eosJMDCKP(6)*t1 |
436 |
mlosch |
1.6 |
& + eosJMDCKP(7)*t2 |
437 |
|
|
& ) |
438 |
mlosch |
1.9 |
& + s3o2*p1*eosJMDCKP(8) |
439 |
|
|
& + p1*p1*( eosJMDCKP(12) |
440 |
|
|
& + eosJMDCKP(13)*t1 |
441 |
mlosch |
1.6 |
& + eosJMDCKP(14)*t2 |
442 |
|
|
& ) |
443 |
|
|
|
444 |
|
|
dKdS = dKdSSalt + dKdSPres |
445 |
|
|
|
446 |
|
|
betaloc(i,j) = |
447 |
|
|
& ( bulkmod(i,j)**2*drhoP0dS |
448 |
mlosch |
1.9 |
& - bulkmod(i,j)*p1*drhoP0dS |
449 |
|
|
& - rhoP0(i,j)*p1*dKdS ) |
450 |
|
|
& /( bulkmod(i,j) - p1 )**2 |
451 |
mlosch |
1.6 |
|
452 |
|
|
|
453 |
jmc |
1.12 |
ENDDO |
454 |
|
|
ENDDO |
455 |
|
|
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
456 |
|
|
|
457 |
|
|
CALL PRESSURE_FOR_EOS( |
458 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
459 |
|
|
O locPres, |
460 |
|
|
I myThid ) |
461 |
|
|
|
462 |
heimbach |
1.15 |
c$$$ CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, |
463 |
|
|
c$$$ & kRef, theta, salt, rhoLoc, myThid ) |
464 |
|
|
|
465 |
|
|
CALL FIND_RHONUM( bi, bj, iMin, iMax, jMin, jMax, k, |
466 |
|
|
& locPres, theta, salt, rhoLoc, myThid ) |
467 |
heimbach |
1.13 |
|
468 |
jmc |
1.12 |
CALL FIND_RHODEN( bi, bj, iMin, iMax, jMin, jMax, k, |
469 |
|
|
& locPres, theta, salt, rhoDen, myThid ) |
470 |
mlosch |
1.9 |
|
471 |
jmc |
1.12 |
DO j=jMin,jMax |
472 |
|
|
DO i=iMin,iMax |
473 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
474 |
|
|
t2 = t1*t1 |
475 |
|
|
s1 = salt(i,j,k,bi,bj) |
476 |
jmc |
1.14 |
IF ( s1 .GT. 0. _d 0 ) THEN |
477 |
jmc |
1.12 |
sp5 = SQRT(s1) |
478 |
jmc |
1.14 |
ELSE |
479 |
|
|
s1 = 0. _d 0 |
480 |
|
|
sp5 = 0. _d 0 |
481 |
|
|
ENDIF |
482 |
mlosch |
1.9 |
|
483 |
jmc |
1.12 |
p1 = locPres(i,j)*SItodBar |
484 |
mlosch |
1.9 |
p1t1 = p1*t1 |
485 |
|
|
|
486 |
|
|
dnum_dsalt = eosMDJWFnum(4) |
487 |
|
|
& + eosMDJWFnum(5)*t1 |
488 |
|
|
& + 2.*eosMDJWFnum(6)*s1 + eosMDJWFnum(9)*p1 |
489 |
|
|
dden_dsalt = eosMDJWFden(5) |
490 |
|
|
& + t1*( eosMDJWFden(6) + eosMDJWFden(7)*t2 ) |
491 |
|
|
& + 1.5*sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) |
492 |
|
|
|
493 |
|
|
betaLoc(i,j) = rhoDen(i,j)*( dnum_dsalt |
494 |
heimbach |
1.15 |
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dsalt ) |
495 |
mlosch |
1.9 |
|
496 |
jmc |
1.12 |
ENDDO |
497 |
|
|
ENDDO |
498 |
mlosch |
1.9 |
|
499 |
jmc |
1.12 |
ELSE |
500 |
|
|
WRITE(*,*) 'FIND_BETA: equationOfState = ',equationOfState |
501 |
|
|
STOP 'FIND_BETA: "equationOfState" has illegal value' |
502 |
|
|
ENDIF |
503 |
adcroft |
1.1 |
|
504 |
jmc |
1.12 |
RETURN |
505 |
|
|
END |