1 |
heimbach |
1.13 |
C $Header: /u/gcmpack/MITgcm/model/src/find_alpha.F,v 1.12 2003/02/18 15:25:09 jmc 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 |
adcroft |
1.1 |
O alphaloc ) |
13 |
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|
14 |
cnh |
1.5 |
C !DESCRIPTION: \bv |
15 |
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C *==========================================================* |
16 |
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C | o SUBROUTINE FIND_ALPHA |
17 |
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C | Calculates [drho(S,T,z) / dT] of a horizontal slice |
18 |
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C *==========================================================* |
19 |
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C | |
20 |
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C | k - is the Theta/Salt level |
21 |
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C | kRef - determines pressure reference level |
22 |
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C | (not used in 'LINEAR' mode) |
23 |
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C | |
24 |
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C | alphaloc - drho / dT (kg/m^3/C) |
25 |
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C | |
26 |
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C *==========================================================* |
27 |
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C \ev |
28 |
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29 |
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C !USES: |
30 |
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IMPLICIT NONE |
31 |
jmc |
1.12 |
C === Global variables === |
32 |
adcroft |
1.1 |
#include "SIZE.h" |
33 |
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#include "DYNVARS.h" |
34 |
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#include "EEPARAMS.h" |
35 |
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#include "PARAMS.h" |
36 |
mlosch |
1.6 |
#include "EOS.h" |
37 |
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#include "GRID.h" |
38 |
adcroft |
1.1 |
|
39 |
cnh |
1.5 |
C !INPUT/OUTPUT PARAMETERS: |
40 |
jmc |
1.12 |
C == Routine arguments == |
41 |
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C k :: Level of Theta/Salt slice |
42 |
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C kRef :: Pressure reference level |
43 |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
44 |
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INTEGER k |
45 |
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INTEGER kRef |
46 |
adcroft |
1.1 |
_RL alphaloc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
47 |
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48 |
cnh |
1.5 |
C !LOCAL VARIABLES: |
49 |
jmc |
1.12 |
C == Local variables == |
50 |
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INTEGER i,j |
51 |
adcroft |
1.1 |
_RL refTemp,refSalt,tP,sP |
52 |
mlosch |
1.9 |
_RL t1, t2, t3, s1, s3o2, p1, p2, sp5, p1t1 |
53 |
mlosch |
1.6 |
_RL drhoP0dtheta, drhoP0dthetaFresh, drhoP0dthetaSalt |
54 |
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_RL dKdtheta, dKdthetaFresh, dKdthetaSalt, dKdthetaPres |
55 |
jmc |
1.12 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
56 |
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_RL rhoP0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
57 |
mlosch |
1.6 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
58 |
mlosch |
1.9 |
_RL dnum_dtheta, dden_dtheta |
59 |
jmc |
1.12 |
_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
60 |
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_RL rhoLoc (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
61 |
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INTEGER myThid |
62 |
cnh |
1.5 |
CEOP |
63 |
adcroft |
1.1 |
|
64 |
mlosch |
1.11 |
#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
65 |
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CALL LOOK_FOR_NEG_SALINITY( bi, bj, iMin, iMax, jMin, jMax, k, |
66 |
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& sFld, myThid ) |
67 |
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#endif |
68 |
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69 |
jmc |
1.12 |
IF (equationOfState.EQ.'LINEAR') THEN |
70 |
adcroft |
1.1 |
|
71 |
jmc |
1.12 |
DO j=jMin,jMax |
72 |
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DO i=iMin,iMax |
73 |
adcroft |
1.1 |
alphaloc(i,j) = -rhonil * tAlpha |
74 |
jmc |
1.12 |
ENDDO |
75 |
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ENDDO |
76 |
adcroft |
1.1 |
|
77 |
jmc |
1.12 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
78 |
adcroft |
1.1 |
|
79 |
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refTemp=eosRefT(kRef) |
80 |
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refSalt=eosRefS(kRef) |
81 |
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82 |
jmc |
1.12 |
DO j=jMin,jMax |
83 |
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DO i=iMin,iMax |
84 |
adcroft |
1.1 |
tP=theta(i,j,k,bi,bj)-refTemp |
85 |
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sP=salt(i,j,k,bi,bj)-refSalt |
86 |
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#ifdef USE_FACTORIZED_POLY |
87 |
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alphaloc(i,j) = |
88 |
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& ( eosC(6,kRef) |
89 |
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& *tP*3. |
90 |
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& +(eosC(7,kRef)*sP + eosC(3,kRef))*2. |
91 |
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& )*tP |
92 |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
93 |
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& |
94 |
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#else |
95 |
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alphaloc(i,j) = |
96 |
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& eosC(1,kRef) + |
97 |
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& eosC(3,kRef)*tP*2. + |
98 |
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& eosC(4,kRef) *sP + |
99 |
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& eosC(6,kRef)*tP*tP*3. + |
100 |
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& eosC(7,kRef)*tP*2. *sP + |
101 |
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& eosC(8,kRef) *sP*sP |
102 |
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#endif |
103 |
jmc |
1.12 |
ENDDO |
104 |
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ENDDO |
105 |
adcroft |
1.1 |
|
106 |
jmc |
1.12 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
107 |
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& .OR. equationOfState.EQ.'UNESCO' ) THEN |
108 |
mlosch |
1.6 |
C nonlinear equation of state in pressure coordinates |
109 |
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110 |
jmc |
1.12 |
CALL PRESSURE_FOR_EOS( |
111 |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
112 |
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O locPres, |
113 |
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I myThid ) |
114 |
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115 |
mlosch |
1.6 |
CALL FIND_RHOP0( |
116 |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
117 |
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I theta, salt, |
118 |
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O rhoP0, |
119 |
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I myThid ) |
120 |
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121 |
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CALL FIND_BULKMOD( |
122 |
jmc |
1.12 |
I bi, bj, iMin, iMax, jMin, jMax, k, |
123 |
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I locPres, theta, salt, |
124 |
mlosch |
1.6 |
O bulkMod, |
125 |
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I myThid ) |
126 |
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|
127 |
jmc |
1.12 |
DO j=jMin,jMax |
128 |
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DO i=iMin,iMax |
129 |
mlosch |
1.6 |
|
130 |
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C abbreviations |
131 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
132 |
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t2 = t1*t1 |
133 |
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t3 = t2*t1 |
134 |
mlosch |
1.6 |
|
135 |
mlosch |
1.9 |
s1 = salt(i,j,k,bi,bj) |
136 |
jmc |
1.12 |
s3o2 = SQRT(s1*s1*s1) |
137 |
mlosch |
1.6 |
|
138 |
jmc |
1.12 |
p1 = locPres(i,j)*SItoBar |
139 |
mlosch |
1.9 |
p2 = p1*p1 |
140 |
mlosch |
1.6 |
|
141 |
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C d(rho)/d(theta) |
142 |
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C of fresh water at p = 0 |
143 |
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drhoP0dthetaFresh = |
144 |
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& eosJMDCFw(2) |
145 |
mlosch |
1.9 |
& + 2.*eosJMDCFw(3)*t1 |
146 |
mlosch |
1.6 |
& + 3.*eosJMDCFw(4)*t2 |
147 |
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& + 4.*eosJMDCFw(5)*t3 |
148 |
mlosch |
1.9 |
& + 5.*eosJMDCFw(6)*t3*t1 |
149 |
mlosch |
1.6 |
C of salt water at p = 0 |
150 |
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drhoP0dthetaSalt = |
151 |
mlosch |
1.9 |
& s1*( |
152 |
mlosch |
1.6 |
& eosJMDCSw(2) |
153 |
mlosch |
1.9 |
& + 2.*eosJMDCSw(3)*t1 |
154 |
mlosch |
1.6 |
& + 3.*eosJMDCSw(4)*t2 |
155 |
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& + 4.*eosJMDCSw(5)*t3 |
156 |
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& ) |
157 |
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& + s3o2*( |
158 |
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& + eosJMDCSw(7) |
159 |
mlosch |
1.9 |
& + 2.*eosJMDCSw(8)*t1 |
160 |
mlosch |
1.6 |
& ) |
161 |
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C d(bulk modulus)/d(theta) |
162 |
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C of fresh water at p = 0 |
163 |
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dKdthetaFresh = |
164 |
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& eosJMDCKFw(2) |
165 |
mlosch |
1.9 |
& + 2.*eosJMDCKFw(3)*t1 |
166 |
mlosch |
1.6 |
& + 3.*eosJMDCKFw(4)*t2 |
167 |
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& + 4.*eosJMDCKFw(5)*t3 |
168 |
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C of sea water at p = 0 |
169 |
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dKdthetaSalt = |
170 |
mlosch |
1.9 |
& s1*( eosJMDCKSw(2) |
171 |
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& + 2.*eosJMDCKSw(3)*t1 |
172 |
mlosch |
1.6 |
& + 3.*eosJMDCKSw(4)*t2 |
173 |
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& ) |
174 |
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& + s3o2*( eosJMDCKSw(6) |
175 |
mlosch |
1.9 |
& + 2.*eosJMDCKSw(7)*t1 |
176 |
mlosch |
1.6 |
& ) |
177 |
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C of sea water at p |
178 |
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dKdthetaPres = |
179 |
mlosch |
1.9 |
& p1*( eosJMDCKP(2) |
180 |
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& + 2.*eosJMDCKP(3)*t1 |
181 |
mlosch |
1.6 |
& + 3.*eosJMDCKP(4)*t2 |
182 |
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& ) |
183 |
mlosch |
1.9 |
& + p1*s1*( eosJMDCKP(6) |
184 |
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& + 2.*eosJMDCKP(7)*t1 |
185 |
mlosch |
1.6 |
& ) |
186 |
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& + p2*( eosJMDCKP(10) |
187 |
mlosch |
1.9 |
& + 2.*eosJMDCKP(11)*t1 |
188 |
mlosch |
1.6 |
& ) |
189 |
mlosch |
1.9 |
& + p2*s1*( eosJMDCKP(13) |
190 |
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& + 2.*eosJMDCKP(14)*t1 |
191 |
mlosch |
1.6 |
& ) |
192 |
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193 |
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drhoP0dtheta = drhoP0dthetaFresh |
194 |
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& + drhoP0dthetaSalt |
195 |
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dKdtheta = dKdthetaFresh |
196 |
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& + dKdthetaSalt |
197 |
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& + dKdthetaPres |
198 |
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alphaloc(i,j) = |
199 |
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& ( bulkmod(i,j)**2*drhoP0dtheta |
200 |
mlosch |
1.9 |
& - bulkmod(i,j)*p1*drhoP0dtheta |
201 |
|
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& - rhoP0(i,j)*p1*dKdtheta ) |
202 |
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& /( bulkmod(i,j) - p1 )**2 |
203 |
mlosch |
1.6 |
|
204 |
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|
205 |
jmc |
1.12 |
ENDDO |
206 |
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ENDDO |
207 |
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ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
208 |
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209 |
|
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CALL PRESSURE_FOR_EOS( |
210 |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
211 |
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O locPres, |
212 |
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I myThid ) |
213 |
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|
214 |
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CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, |
215 |
heimbach |
1.13 |
& kRef, theta, salt, rhoLoc, myThid ) |
216 |
|
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|
217 |
jmc |
1.12 |
CALL FIND_RHODEN( bi, bj, iMin, iMax, jMin, jMax, k, |
218 |
|
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& locPres, theta, salt, rhoDen, myThid ) |
219 |
mlosch |
1.9 |
|
220 |
jmc |
1.12 |
DO j=jMin,jMax |
221 |
|
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DO i=iMin,iMax |
222 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
223 |
|
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t2 = t1*t1 |
224 |
|
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s1 = salt(i,j,k,bi,bj) |
225 |
jmc |
1.12 |
sp5 = SQRT(s1) |
226 |
mlosch |
1.9 |
|
227 |
jmc |
1.12 |
p1 = locPres(i,j)*SItodBar |
228 |
mlosch |
1.9 |
p1t1 = p1*t1 |
229 |
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|
230 |
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dnum_dtheta = eosMDJWFnum(1) |
231 |
|
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& + t1*(2.*eosMDJWFnum(2) + 3.*eosMDJWFnum(3)*t1) |
232 |
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& + eosMDJWFnum(5)*s1 |
233 |
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& + p1t1*(2.*eosMDJWFnum(8) + 2.*eosMDJWFnum(11)*p1) |
234 |
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235 |
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dden_dtheta = eosMDJWFden(1) |
236 |
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& + t1*(2.*eosMDJWFden(2) |
237 |
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& + t1*(3.*eosMDJWFden(3) |
238 |
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& + 4.*eosMDJWFden(4)*t1 ) ) |
239 |
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& + s1*(eosMDJWFden(6) |
240 |
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& + t1*(3.*eosMDJWFden(7)*t1 |
241 |
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& + 2.*eosMDJWFden(9)*sp5 ) ) |
242 |
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& + p1*p1*(3.*eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) |
243 |
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244 |
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alphaLoc(i,j) = rhoDen(i,j)*(dnum_dtheta |
245 |
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& - rhoLoc(i,j)*dden_dtheta) |
246 |
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|
247 |
jmc |
1.12 |
ENDDO |
248 |
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ENDDO |
249 |
mlosch |
1.9 |
|
250 |
jmc |
1.12 |
ELSE |
251 |
|
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WRITE(*,*) 'FIND_ALPHA: equationOfState = ',equationOfState |
252 |
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STOP 'FIND_ALPHA: "equationOfState" has illegal value' |
253 |
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ENDIF |
254 |
adcroft |
1.1 |
|
255 |
jmc |
1.12 |
RETURN |
256 |
|
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END |
257 |
adcroft |
1.1 |
|
258 |
jmc |
1.12 |
SUBROUTINE FIND_BETA ( |
259 |
mlosch |
1.10 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
260 |
adcroft |
1.1 |
O betaloc ) |
261 |
|
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C /==========================================================\ |
262 |
|
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C | o SUBROUTINE FIND_BETA | |
263 |
|
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C | Calculates [drho(S,T,z) / dS] of a horizontal slice | |
264 |
|
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C |==========================================================| |
265 |
|
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C | | |
266 |
|
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C | k - is the Theta/Salt level | |
267 |
|
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C | kRef - determines pressure reference level | |
268 |
|
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C | (not used in 'LINEAR' mode) | |
269 |
|
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C | | |
270 |
|
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C | betaloc - drho / dS (kg/m^3/PSU) | |
271 |
|
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C | | |
272 |
|
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C \==========================================================/ |
273 |
jmc |
1.12 |
IMPLICIT NONE |
274 |
adcroft |
1.1 |
|
275 |
jmc |
1.12 |
C === Global variables === |
276 |
adcroft |
1.1 |
#include "SIZE.h" |
277 |
|
|
#include "DYNVARS.h" |
278 |
|
|
#include "EEPARAMS.h" |
279 |
|
|
#include "PARAMS.h" |
280 |
mlosch |
1.6 |
#include "EOS.h" |
281 |
|
|
#include "GRID.h" |
282 |
adcroft |
1.1 |
|
283 |
jmc |
1.12 |
C == Routine arguments == |
284 |
|
|
C k :: Level of Theta/Salt slice |
285 |
|
|
C kRef :: Pressure reference level |
286 |
|
|
INTEGER bi,bj,iMin,iMax,jMin,jMax |
287 |
|
|
INTEGER k |
288 |
|
|
INTEGER kRef |
289 |
adcroft |
1.1 |
_RL betaloc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
290 |
|
|
|
291 |
jmc |
1.12 |
C == Local variables == |
292 |
|
|
INTEGER i,j |
293 |
adcroft |
1.1 |
_RL refTemp,refSalt,tP,sP |
294 |
mlosch |
1.9 |
_RL t1, t2, t3, s1, s3o2, p1, sp5, p1t1 |
295 |
mlosch |
1.6 |
_RL drhoP0dS |
296 |
|
|
_RL dKdS, dKdSSalt, dKdSPres |
297 |
jmc |
1.12 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
298 |
|
|
_RL rhoP0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
299 |
mlosch |
1.6 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
300 |
mlosch |
1.9 |
_RL dnum_dsalt, dden_dsalt |
301 |
jmc |
1.12 |
_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
302 |
|
|
_RL rhoLoc (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
303 |
|
|
INTEGER myThid |
304 |
mlosch |
1.6 |
CEOP |
305 |
|
|
|
306 |
mlosch |
1.11 |
#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
307 |
|
|
CALL LOOK_FOR_NEG_SALINITY( bi, bj, iMin, iMax, jMin, jMax, k, |
308 |
|
|
& sFld, myThid ) |
309 |
|
|
#endif |
310 |
|
|
|
311 |
jmc |
1.12 |
IF (equationOfState.EQ.'LINEAR') THEN |
312 |
adcroft |
1.1 |
|
313 |
jmc |
1.12 |
DO j=jMin,jMax |
314 |
|
|
DO i=iMin,iMax |
315 |
adcroft |
1.1 |
betaloc(i,j) = rhonil * sBeta |
316 |
jmc |
1.12 |
ENDDO |
317 |
|
|
ENDDO |
318 |
adcroft |
1.1 |
|
319 |
jmc |
1.12 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
320 |
adcroft |
1.1 |
|
321 |
|
|
refTemp=eosRefT(kRef) |
322 |
|
|
refSalt=eosRefS(kRef) |
323 |
|
|
|
324 |
jmc |
1.12 |
DO j=jMin,jMax |
325 |
|
|
DO i=iMin,iMax |
326 |
adcroft |
1.1 |
tP=theta(i,j,k,bi,bj)-refTemp |
327 |
|
|
sP=salt(i,j,k,bi,bj)-refSalt |
328 |
|
|
#ifdef USE_FACTORIZED_POLY |
329 |
|
|
betaloc(i,j) = |
330 |
|
|
& ( eosC(9,kRef)*sP*3. + eosC(5,kRef)*2. )*sP + eosC(2,kRef) |
331 |
|
|
& + ( eosC(7,kRef)*tP |
332 |
|
|
& +eosC(8,kRef)*sP*2. + eosC(4,kRef) |
333 |
|
|
& )*tP |
334 |
|
|
#else |
335 |
|
|
betaloc(i,j) = |
336 |
|
|
& eosC(2,kRef) + |
337 |
|
|
& eosC(4,kRef)*tP + |
338 |
|
|
& eosC(5,kRef) *sP*2. + |
339 |
|
|
& eosC(7,kRef)*tP*tP + |
340 |
|
|
& eosC(8,kRef)*tP *sP*2. + |
341 |
|
|
& eosC(9,kRef) *sP*sP*3. |
342 |
|
|
#endif |
343 |
jmc |
1.12 |
ENDDO |
344 |
|
|
ENDDO |
345 |
adcroft |
1.1 |
|
346 |
jmc |
1.12 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
347 |
|
|
& .OR. equationOfState.EQ.'UNESCO' ) THEN |
348 |
mlosch |
1.6 |
C nonlinear equation of state in pressure coordinates |
349 |
|
|
|
350 |
jmc |
1.12 |
CALL PRESSURE_FOR_EOS( |
351 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
352 |
|
|
O locPres, |
353 |
|
|
I myThid ) |
354 |
|
|
|
355 |
mlosch |
1.6 |
CALL FIND_RHOP0( |
356 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, k, |
357 |
|
|
I theta, salt, |
358 |
|
|
O rhoP0, |
359 |
|
|
I myThid ) |
360 |
|
|
|
361 |
|
|
CALL FIND_BULKMOD( |
362 |
jmc |
1.12 |
I bi, bj, iMin, iMax, jMin, jMax, k, |
363 |
|
|
I locPres, theta, salt, |
364 |
mlosch |
1.6 |
O bulkMod, |
365 |
|
|
I myThid ) |
366 |
|
|
|
367 |
jmc |
1.12 |
DO j=jMin,jMax |
368 |
|
|
DO i=iMin,iMax |
369 |
mlosch |
1.6 |
|
370 |
|
|
C abbreviations |
371 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
372 |
|
|
t2 = t1*t1 |
373 |
|
|
t3 = t2*t1 |
374 |
mlosch |
1.6 |
|
375 |
mlosch |
1.9 |
s1 = salt(i,j,k,bi,bj) |
376 |
jmc |
1.12 |
s3o2 = 1.5*SQRT(s1) |
377 |
mlosch |
1.6 |
|
378 |
jmc |
1.12 |
p1 = locPres(i,j)*SItoBar |
379 |
mlosch |
1.6 |
|
380 |
|
|
C d(rho)/d(S) |
381 |
|
|
C of fresh water at p = 0 |
382 |
|
|
drhoP0dS = 0. _d 0 |
383 |
|
|
C of salt water at p = 0 |
384 |
|
|
drhoP0dS = drhoP0dS |
385 |
|
|
& + eosJMDCSw(1) |
386 |
mlosch |
1.9 |
& + eosJMDCSw(2)*t1 |
387 |
mlosch |
1.6 |
& + eosJMDCSw(3)*t2 |
388 |
|
|
& + eosJMDCSw(4)*t3 |
389 |
mlosch |
1.9 |
& + eosJMDCSw(5)*t3*t1 |
390 |
mlosch |
1.6 |
& + s3o2*( |
391 |
|
|
& eosJMDCSw(6) |
392 |
mlosch |
1.9 |
& + eosJMDCSw(7)*t1 |
393 |
mlosch |
1.6 |
& + eosJMDCSw(8)*t2 |
394 |
|
|
& ) |
395 |
mlosch |
1.9 |
& + 2*eosJMDCSw(9)*s1 |
396 |
mlosch |
1.6 |
C d(bulk modulus)/d(S) |
397 |
|
|
C of fresh water at p = 0 |
398 |
|
|
dKdS = 0. _d 0 |
399 |
|
|
C of sea water at p = 0 |
400 |
|
|
dKdSSalt = |
401 |
|
|
& eosJMDCKSw(1) |
402 |
mlosch |
1.9 |
& + eosJMDCKSw(2)*t1 |
403 |
mlosch |
1.6 |
& + eosJMDCKSw(3)*t2 |
404 |
|
|
& + eosJMDCKSw(4)*t3 |
405 |
|
|
& + s3o2*( eosJMDCKSw(5) |
406 |
mlosch |
1.9 |
& + eosJMDCKSw(6)*t1 |
407 |
mlosch |
1.6 |
& + eosJMDCKSw(7)*t2 |
408 |
|
|
& ) |
409 |
|
|
|
410 |
|
|
C of sea water at p |
411 |
|
|
dKdSPres = |
412 |
mlosch |
1.9 |
& p1*( eosJMDCKP(5) |
413 |
|
|
& + eosJMDCKP(6)*t1 |
414 |
mlosch |
1.6 |
& + eosJMDCKP(7)*t2 |
415 |
|
|
& ) |
416 |
mlosch |
1.9 |
& + s3o2*p1*eosJMDCKP(8) |
417 |
|
|
& + p1*p1*( eosJMDCKP(12) |
418 |
|
|
& + eosJMDCKP(13)*t1 |
419 |
mlosch |
1.6 |
& + eosJMDCKP(14)*t2 |
420 |
|
|
& ) |
421 |
|
|
|
422 |
|
|
dKdS = dKdSSalt + dKdSPres |
423 |
|
|
|
424 |
|
|
betaloc(i,j) = |
425 |
|
|
& ( bulkmod(i,j)**2*drhoP0dS |
426 |
mlosch |
1.9 |
& - bulkmod(i,j)*p1*drhoP0dS |
427 |
|
|
& - rhoP0(i,j)*p1*dKdS ) |
428 |
|
|
& /( bulkmod(i,j) - p1 )**2 |
429 |
mlosch |
1.6 |
|
430 |
|
|
|
431 |
jmc |
1.12 |
ENDDO |
432 |
|
|
ENDDO |
433 |
|
|
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
434 |
|
|
|
435 |
|
|
CALL PRESSURE_FOR_EOS( |
436 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
437 |
|
|
O locPres, |
438 |
|
|
I myThid ) |
439 |
|
|
|
440 |
|
|
CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, |
441 |
heimbach |
1.13 |
& kRef, theta, salt, rhoLoc, myThid ) |
442 |
|
|
|
443 |
jmc |
1.12 |
CALL FIND_RHODEN( bi, bj, iMin, iMax, jMin, jMax, k, |
444 |
|
|
& locPres, theta, salt, rhoDen, myThid ) |
445 |
mlosch |
1.9 |
|
446 |
jmc |
1.12 |
DO j=jMin,jMax |
447 |
|
|
DO i=iMin,iMax |
448 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
449 |
|
|
t2 = t1*t1 |
450 |
|
|
s1 = salt(i,j,k,bi,bj) |
451 |
jmc |
1.12 |
sp5 = SQRT(s1) |
452 |
mlosch |
1.9 |
|
453 |
jmc |
1.12 |
p1 = locPres(i,j)*SItodBar |
454 |
mlosch |
1.9 |
p1t1 = p1*t1 |
455 |
|
|
|
456 |
|
|
dnum_dsalt = eosMDJWFnum(4) |
457 |
|
|
& + eosMDJWFnum(5)*t1 |
458 |
|
|
& + 2.*eosMDJWFnum(6)*s1 + eosMDJWFnum(9)*p1 |
459 |
|
|
dden_dsalt = eosMDJWFden(5) |
460 |
|
|
& + t1*( eosMDJWFden(6) + eosMDJWFden(7)*t2 ) |
461 |
|
|
& + 1.5*sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) |
462 |
|
|
|
463 |
|
|
betaLoc(i,j) = rhoDen(i,j)*( dnum_dsalt |
464 |
|
|
& - rhoLoc(i,j)*dden_dsalt ) |
465 |
|
|
|
466 |
jmc |
1.12 |
ENDDO |
467 |
|
|
ENDDO |
468 |
mlosch |
1.9 |
|
469 |
jmc |
1.12 |
ELSE |
470 |
|
|
WRITE(*,*) 'FIND_BETA: equationOfState = ',equationOfState |
471 |
|
|
STOP 'FIND_BETA: "equationOfState" has illegal value' |
472 |
|
|
ENDIF |
473 |
adcroft |
1.1 |
|
474 |
jmc |
1.12 |
RETURN |
475 |
|
|
END |