/[MITgcm]/MITgcm_contrib/ksnow/press_release/code_expt/shelfice_thermodynamics.F
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Revision 1.1 - (hide annotations) (download)
Fri Dec 16 15:25:29 2016 UTC (9 years, 8 months ago) by ksnow
Branch: MAIN
Adding shelfice_remeshing files for experiment

1 ksnow 1.1 C $Header: /u/gcmpack/MITgcm_contrib/verification_other/shelfice_remeshing/code/shelfice_thermodynamics.F,v 1.19 2016/07/06 18:03:40 dgoldberg Exp $
2     C $Name: $
3    
4     #include "SHELFICE_OPTIONS.h"
5     #ifdef ALLOW_AUTODIFF
6     # include "AUTODIFF_OPTIONS.h"
7     #endif
8     #ifdef ALLOW_CTRL
9     # include "CTRL_OPTIONS.h"
10     #endif
11    
12     CBOP
13     C !ROUTINE: SHELFICE_THERMODYNAMICS
14     C !INTERFACE:
15     SUBROUTINE SHELFICE_THERMODYNAMICS(
16     I myTime, myIter, myThid )
17     C !DESCRIPTION: \bv
18     C *=============================================================*
19     C | S/R SHELFICE_THERMODYNAMICS
20     C | o shelf-ice main routine.
21     C | compute temperature and (virtual) salt flux at the
22     C | shelf-ice ocean interface
23     C |
24     C | stresses at the ice/water interface are computed in separate
25     C | routines that are called from mom_fluxform/mom_vecinv
26     C *=============================================================*
27     C \ev
28    
29     C !USES:
30     IMPLICIT NONE
31    
32     C === Global variables ===
33     #include "SIZE.h"
34     #include "EEPARAMS.h"
35     #include "PARAMS.h"
36     #include "GRID.h"
37     #include "DYNVARS.h"
38     #include "FFIELDS.h"
39     #include "SURFACE.h"
40     #include "SHELFICE.h"
41     #include "SHELFICE_COST.h"
42     #ifdef ALLOW_AUTODIFF
43     # include "CTRL_SIZE.h"
44     # include "ctrl.h"
45     # include "ctrl_dummy.h"
46     #endif /* ALLOW_AUTODIFF */
47     #ifdef ALLOW_AUTODIFF_TAMC
48     # ifdef SHI_ALLOW_GAMMAFRICT
49     # include "tamc.h"
50     # include "tamc_keys.h"
51     # endif /* SHI_ALLOW_GAMMAFRICT */
52     #endif /* ALLOW_AUTODIFF_TAMC */
53     #ifdef ALLOW_STREAMICE
54     # include "STREAMICE.h"
55     #endif /* ALLOW_STREAMICE */
56    
57     C !INPUT/OUTPUT PARAMETERS:
58     C === Routine arguments ===
59     C myIter :: iteration counter for this thread
60     C myTime :: time counter for this thread
61     C myThid :: thread number for this instance of the routine.
62     _RL myTime
63     INTEGER myIter
64     INTEGER myThid
65    
66     #ifdef ALLOW_SHELFICE
67     C !LOCAL VARIABLES :
68     C === Local variables ===
69     C I,J,K,Kp1,bi,bj :: loop counters
70     C tLoc, sLoc, pLoc :: local in-situ temperature, salinity, pressure
71     C theta/saltFreeze :: temperature and salinity of water at the
72     C ice-ocean interface (at the freezing point)
73     C freshWaterFlux :: local variable for fresh water melt flux due
74     C to melting in kg/m^2/s
75     C (negative density x melt rate)
76     C convertFW2SaltLoc:: local copy of convertFW2Salt
77     C cFac :: 1 for conservative form, 0, otherwise
78     C rFac :: realFreshWaterFlux factor
79     C dFac :: 0 for diffusive heat flux (Holland and Jenkins, 1999,
80     C eq21)
81     C 1 for advective and diffusive heat flux (eq22, 26, 31)
82     C fwflxFac :: only effective for dFac=1, 1 if we expect a melting
83     C fresh water flux, 0 otherwise
84     C auxiliary variables and abbreviations:
85     C a0, a1, a2, b, c0
86     C eps1, eps2, eps3, eps3a, eps4, eps5, eps6, eps7, eps8
87     C aqe, bqe, cqe, discrim, recip_aqe
88     C drKp1, recip_drLoc
89     INTEGER I,J,K,Kp1
90     INTEGER bi,bj
91     _RL tLoc(1:sNx,1:sNy)
92     _RL sLoc(1:sNx,1:sNy)
93     _RL pLoc(1:sNx,1:sNy)
94     #ifndef SHI_USTAR_WETPOINT
95     _RL uLoc(1:sNx,1:sNy)
96     _RL vLoc(1:sNx,1:sNy)
97     #endif
98     #ifdef SHI_USTAR_TOPDR
99     _RL u_topdr(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
100     _RL v_topdr(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
101     #endif
102     _RL velSq(1:sNx,1:sNy)
103     _RL thetaFreeze, saltFreeze, recip_Cp
104     _RL freshWaterFlux, convertFW2SaltLoc
105     _RL a0, a1, a2, b, c0
106     _RL eps1, eps2, eps3, eps3a, eps4, eps5, eps6, eps7, eps8
107     _RL cFac, rFac, dFac, fwflxFac, realfwFac
108     _RL aqe, bqe, cqe, discrim, recip_aqe
109     _RL drKp1, recip_drLoc
110     _RL recip_latentHeat
111     _RL tmpFac
112     C _RL massMin, mass, DELZ
113     _RL mass, DELZ
114     _RL SHA,FACTOR1,FACTOR2,FACTOR3
115     _RL ETA,SEALEVEL,oce_density
116     C KS_dens, add massMin and EFFR, R_min, and remove above
117     #ifdef ALLOW_SHELFICE_GROUNDED_ICE
118     _RL massMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
119     _RL R_min(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
120     #endif
121    
122     #ifdef SHI_ALLOW_GAMMAFRICT
123     _RL shiPr, shiSc, shiLo, recip_shiKarman, shiTwoThirds
124     _RL gammaTmoleT, gammaTmoleS, gammaTurb, gammaTurbConst
125     _RL ustar, ustarSq, etastar
126     PARAMETER ( shiTwoThirds = 0.66666666666666666666666666667D0 )
127     #ifdef ALLOW_DIAGNOSTICS
128     _RL uStarDiag(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
129     #endif /* ALLOW_DIAGNOSTICS */
130     #endif
131    
132     #ifndef ALLOW_OPENAD
133     _RL SW_TEMP
134     EXTERNAL SW_TEMP
135     #endif
136    
137     #ifdef ALLOW_SHIFWFLX_CONTROL
138     _RL xx_shifwflx_loc(1-olx:snx+olx,1-oly:sny+oly,nsx,nsy)
139     #endif
140    
141     #ifdef ALLOW_SHELFICE_GROUNDED_ICE
142     LOGICAL massmin_truedens_temp
143     #endif
144     CEOP
145     C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----|
146    
147     #ifdef SHI_ALLOW_GAMMAFRICT
148     #ifdef ALLOW_AUTODIFF
149     C re-initialize here again, curtesy to TAF
150     DO bj = myByLo(myThid), myByHi(myThid)
151     DO bi = myBxLo(myThid), myBxHi(myThid)
152     DO J = 1-OLy,sNy+OLy
153     DO I = 1-OLx,sNx+OLx
154     shiTransCoeffT(i,j,bi,bj) = SHELFICEheatTransCoeff
155     shiTransCoeffS(i,j,bi,bj) = SHELFICEsaltTransCoeff
156     ENDDO
157     ENDDO
158     ENDDO
159     ENDDO
160     #endif /* ALLOW_AUTODIFF */
161     IF ( SHELFICEuseGammaFrict ) THEN
162     C Implement friction velocity-dependent transfer coefficient
163     C of Holland and Jenkins, JPO, 1999
164     recip_shiKarman= 1. _d 0 / 0.4 _d 0
165     shiLo = 0. _d 0
166     shiPr = shiPrandtl**shiTwoThirds
167     shiSc = shiSchmidt**shiTwoThirds
168     cph shiPr = (viscArNr(1)/diffKrNrT(1))**shiTwoThirds
169     cph shiSc = (viscArNr(1)/diffKrNrS(1))**shiTwoThirds
170     gammaTmoleT = 12.5 _d 0 * shiPr - 6. _d 0
171     gammaTmoleS = 12.5 _d 0 * shiSc - 6. _d 0
172     C instead of etastar = sqrt(1+zetaN*ustar./(f*Lo*Rc))
173     etastar = 1. _d 0
174     gammaTurbConst = 1. _d 0 / (2. _d 0 * shiZetaN*etastar)
175     & - recip_shiKarman
176     #ifdef ALLOW_AUTODIFF
177     DO bj = myByLo(myThid), myByHi(myThid)
178     DO bi = myBxLo(myThid), myBxHi(myThid)
179     DO J = 1-OLy,sNy+OLy
180     DO I = 1-OLx,sNx+OLx
181     shiTransCoeffT(i,j,bi,bj) = 0. _d 0
182     shiTransCoeffS(i,j,bi,bj) = 0. _d 0
183     ENDDO
184     ENDDO
185     ENDDO
186     ENDDO
187     #endif /* ALLOW_AUTODIFF */
188     ENDIF
189     #endif /* SHI_ALLOW_GAMMAFRICT */
190    
191     recip_latentHeat = 0. _d 0
192     IF ( SHELFICElatentHeat .NE. 0. _d 0 )
193     & recip_latentHeat = 1. _d 0/SHELFICElatentHeat
194     C are we doing the conservative form of Jenkins et al. (2001)?
195     recip_Cp = 1. _d 0 / HeatCapacity_Cp
196     cFac = 0. _d 0
197     IF ( SHELFICEconserve ) cFac = 1. _d 0
198     C with "real fresh water flux" (affecting ETAN),
199     C there is more to modify
200     rFac = 1. _d 0
201     IF ( SHELFICEconserve .AND. useRealFreshWaterFlux ) rFac = 0. _d 0
202     C heat flux into the ice shelf, default is diffusive flux
203     C (Holland and Jenkins, 1999, eq.21)
204     dFac = 0. _d 0
205     IF ( SHELFICEadvDiffHeatFlux ) dFac = 1. _d 0
206     fwflxFac = 0. _d 0
207     C if shelficeboundarylayer is used with real freshwater flux,
208     c the T/S used for surface fluxes must be the cell T/S
209     realFWfac = 0. _d 0
210     IF ( SHELFICErealFWflux ) realFWfac = 1. _d 0
211    
212     C linear dependence of freezing point on salinity
213     a0 = -0.0575 _d 0
214     a1 = 0.0 _d -0
215     a2 = 0.0 _d -0
216     c0 = 0.0901 _d 0
217     b = -7.61 _d -4
218     #ifdef ALLOW_ISOMIP_TD
219     IF ( useISOMIPTD ) THEN
220     C non-linear dependence of freezing point on salinity
221     a0 = -0.0575 _d 0
222     a1 = 1.710523 _d -3
223     a2 = -2.154996 _d -4
224     b = -7.53 _d -4
225     c0 = 0. _d 0
226     ENDIF
227     convertFW2SaltLoc = convertFW2Salt
228     C hardcoding this value here is OK because it only applies to ISOMIP
229     C where this value is part of the protocol
230     IF ( convertFW2SaltLoc .EQ. -1. ) convertFW2SaltLoc = 33.4 _d 0
231     #endif /* ALLOW_ISOMIP_TD */
232    
233     DO bj = myByLo(myThid), myByHi(myThid)
234     DO bi = myBxLo(myThid), myBxHi(myThid)
235     DO J = 1-OLy,sNy+OLy
236     DO I = 1-OLx,sNx+OLx
237     shelfIceHeatFlux (I,J,bi,bj) = 0. _d 0
238     shelfIceFreshWaterFlux(I,J,bi,bj) = 0. _d 0
239     shelficeForcingT (I,J,bi,bj) = 0. _d 0
240     shelficeForcingS (I,J,bi,bj) = 0. _d 0
241     #if (defined SHI_ALLOW_GAMMAFRICT && defined ALLOW_DIAGNOSTICS)
242     uStarDiag (I,J,bi,bj) = 0. _d 0
243     #endif /* SHI_ALLOW_GAMMAFRICT and ALLOW_DIAGNOSTICS */
244     ENDDO
245     ENDDO
246     ENDDO
247     ENDDO
248     #ifdef ALLOW_SHIFWFLX_CONTROL
249     DO bj = myByLo(myThid), myByHi(myThid)
250     DO bi = myBxLo(myThid), myBxHi(myThid)
251     DO J = 1-OLy,sNy+OLy
252     DO I = 1-OLx,sNx+OLx
253     xx_shifwflx_loc(I,J,bi,bj) = 0. _d 0
254     ENDDO
255     ENDDO
256     ENDDO
257     ENDDO
258     #ifdef ALLOW_CTRL
259     if (useCTRL) CALL CTRL_GET_GEN (
260     & xx_shifwflx_file, xx_shifwflxstartdate, xx_shifwflxperiod,
261     & maskSHI, xx_shifwflx_loc, xx_shifwflx0, xx_shifwflx1,
262     & xx_shifwflx_dummy,
263     & xx_shifwflx_remo_intercept, xx_shifwflx_remo_slope,
264     & wshifwflx,
265     & myTime, myIter, myThid )
266     #endif
267     #endif /* ALLOW_SHIFWFLX_CONTROL */
268    
269     #ifdef ALLOW_SHELFICE_GROUNDED_ICE
270    
271     DO bj = myByLo(myThid), myByHi(myThid)
272     DO bi = myBxLo(myThid), myBxHi(myThid)
273     DO j = 1-OLy, sNy+OLy
274     DO i = 1-OLx, sNx+OLx
275     MASSMIN(i,j,bi,bj) = 0. _d 0
276     ENDDO
277     ENDDO
278     ENDDO
279     ENDDO
280    
281     IF (myIter.eq.0) THEN
282     massmin_truedens_temp = shelfice_massmin_trueDens
283     shelfice_massmin_trueDens = .FALSE.
284     ENDIF
285     CALL SHELFICE_CALC_GRD_FAC( massMin, myThid )
286    
287     IF (myIter.eq.0) THEN
288     shelfice_massmin_trueDens = massmin_truedens_temp
289     ENDIF
290    
291     DO bj = myByLo(myThid), myByHi(myThid)
292     DO bi = myBxLo(myThid), myBxHi(myThid)
293     DO j = 1-OLy, sNy+OLy
294     DO i = 1-OLx, sNx+OLx
295    
296     mass = shelficemass(i,j,bi,bj)
297    
298     ! GrdFactor(i,j,bi,bj) = tanh((massMin(i,j,bi,bj)
299     ! & - mass)*1. _d 5)
300    
301     SHA=massMin(i,j,bi,bj)/
302     & SQRT(.01+mass**2)
303     FACTOR1 = ((1-sha)/2.)
304     FACTOR2 = (1+sha)/2.
305    
306     EFFMASS(I,J,BI,BJ)=
307     & (FACTOR1*GrdFactor(i,j,bi,bj) + FACTOR2)*mass
308    
309     ENDDO
310     ENDDO
311     ENDDO
312     ENDDO
313     C KS_dens -----------------------------------------------
314    
315     #endif
316     ! allow shelfice_grounded_ice
317     DO bj = myByLo(myThid), myByHi(myThid)
318     DO bi = myBxLo(myThid), myBxHi(myThid)
319    
320     #ifdef SHI_USTAR_TOPDR
321     IF ( SHELFICEBoundaryLayer ) THEN
322     C-- average over boundary layer width
323     DO J = 1, sNy+1
324     DO I = 1, sNx+1
325     u_topdr(I,J,bi,bj) = 0.0
326     v_topdr(I,J,bi,bj) = 0.0
327     ENDDO
328     ENDDO
329     ENDIF
330     #endif
331    
332     #ifdef ALLOW_AUTODIFF_TAMC
333     # ifdef SHI_ALLOW_GAMMAFRICT
334     act1 = bi - myBxLo(myThid)
335     max1 = myBxHi(myThid) - myBxLo(myThid) + 1
336     act2 = bj - myByLo(myThid)
337     max2 = myByHi(myThid) - myByLo(myThid) + 1
338     act3 = myThid - 1
339     max3 = nTx*nTy
340     act4 = ikey_dynamics - 1
341     ikey = (act1 + 1) + act2*max1
342     & + act3*max1*max2
343     & + act4*max1*max2*max3
344     # endif /* SHI_ALLOW_GAMMAFRICT */
345     #endif /* ALLOW_AUTODIFF_TAMC */
346     DO J = 1, sNy
347     DO I = 1, sNx
348     C-- make local copies of temperature, salinity and depth (pressure in deci-bar)
349     C-- underneath the ice
350     K = MAX(1,kTopC(I,J,bi,bj))
351     pLoc(I,J) = ABS(R_shelfIce(I,J,bi,bj))
352     c pLoc(I,J) = shelficeMass(I,J,bi,bj)*gravity*1. _d -4
353     tLoc(I,J) = theta(I,J,K,bi,bj)
354     sLoc(I,J) = MAX(salt(I,J,K,bi,bj), zeroRL)
355     #ifdef SHI_USTAR_WETPOINT
356     velSq(I,J) = 0.
357     tmpFac = _hFacW(I, J,K,bi,bj) + _hFacW(I+1,J,K,bi,bj)
358     IF ( tmpFac.GT.0. _d 0 )
359     & velSq(I,J) = (
360     & uVel( I, J,K,bi,bj)*uVel( I, J,K,bi,bj)*_hFacW( I, J,K,bi,bj)
361     & + uVel(I+1,J,K,bi,bj)*uVel(I+1,J,K,bi,bj)*_hFacW(I+1,J,K,bi,bj)
362     & )/tmpFac
363     tmpFac = _hFacS(I,J, K,bi,bj) + _hFacS(I,J+1,K,bi,bj)
364     IF ( tmpFac.GT.0. _d 0 )
365     & velSq(I,J) = velSq(I,J) + (
366     & vVel(I, J, K,bi,bj)*vVel(I, J, K,bi,bj)*_hFacS(I, J, K,bi,bj)
367     & + vVel(I,J+1,K,bi,bj)*vVel(I,J+1,K,bi,bj)*_hFacS(I,J+1,K,bi,bj)
368     & )/tmpFac
369     #else /* SHI_USTAR_WETPOINT */
370     uLoc(I,J) = recip_hFacC(I,J,K,bi,bj) * halfRL *
371     & ( uVel(I, J,K,bi,bj) * _hFacW(I, J,K,bi,bj)
372     & + uVel(I+1,J,K,bi,bj) * _hFacW(I+1,J,K,bi,bj) )
373     vLoc(I,J) = recip_hFacC(I,J,K,bi,bj) * halfRL *
374     & ( vVel(I,J, K,bi,bj) * _hFacS(I,J, K,bi,bj)
375     & + vVel(I,J+1,K,bi,bj) * _hFacS(I,J+1,K,bi,bj) )
376     velSq(I,J) = uLoc(I,J)*uLoc(I,J)+vLoc(I,J)*vLoc(I,J)
377     #endif /* SHI_USTAR_WETPOINT */
378     ENDDO
379     ENDDO
380    
381     #ifdef SHI_USTAR_TOPDR
382     IF ( SHELFICEBoundaryLayer ) THEN
383     DO J = 1, sNy+1
384     DO I = 1, sNx+1
385     K = ksurfW(I,J,bi,bj)
386     Kp1 = K+1
387     IF (K.lt.Nr) then
388     drKp1 = drF(K)*(1. _d 0-_hFacW(I,J,K,bi,bj))
389     drKp1 = max (drKp1, 0. _d 0)
390     recip_drLoc = 1.0 /
391     & (drF(K)*_hFacW(I,J,K,bi,bj)+drKp1)
392     u_topdr(I,J,bi,bj) =
393     & (drF(K)*_hFacW(I,J,K,bi,bj)*uVel(I,J,K,bi,bj) +
394     & drKp1*uVel(I,J,Kp1,bi,bj))
395     & * recip_drLoc
396     ELSE
397     u_topdr(I,J,bi,bj) = 0. _d 0
398     ENDIF
399    
400     K = ksurfS(I,J,bi,bj)
401     Kp1 = K+1
402     IF (K.lt.Nr) then
403     drKp1 = drF(K)*(1. _d 0-_hFacS(I,J,K,bi,bj))
404     drKp1 = max (drKp1, 0. _d 0)
405     recip_drLoc = 1.0 /
406     & (drF(K)*_hFacS(I,J,K,bi,bj)+drKp1)
407     v_topdr(I,J,bi,bj) =
408     & (drF(K)*_hFacS(I,J,K,bi,bj)*vVel(I,J,K,bi,bj) +
409     & drKp1*vVel(I,J,Kp1,bi,bj))
410     & * recip_drLoc
411     ELSE
412     v_topdr(I,J,bi,bj) = 0. _d 0
413     ENDIF
414    
415     ENDDO
416     ENDDO
417     ENDIF
418     #endif
419    
420     IF ( SHELFICEBoundaryLayer ) THEN
421     C-- average over boundary layer width
422     DO J = 1, sNy
423     DO I = 1, sNx
424     K = kTopC(I,J,bi,bj)
425     IF ( K .NE. 0 .AND. K .LT. Nr ) THEN
426     Kp1 = MIN(Nr,K+1)
427     C-- overlap into lower cell
428     drKp1 = drF(K)*( 1. _d 0 - _hFacC(I,J,K,bi,bj) )
429     C-- lower cell may not be as thick as required
430     drKp1 = MIN( drKp1, drF(Kp1) * _hFacC(I,J,Kp1,bi,bj) )
431     drKp1 = MAX( drKp1, 0. _d 0 )
432     recip_drLoc = 1. _d 0 /
433     & ( drF(K)*_hFacC(I,J,K,bi,bj) + drKp1 )
434     tLoc(I,J) = ( tLoc(I,J) * drF(K)*_hFacC(I,J,K,bi,bj)
435     & + theta(I,J,Kp1,bi,bj) *drKp1 )
436     & * recip_drLoc
437     sLoc(I,J) = ( sLoc(I,J) * drF(K)*_hFacC(I,J,K,bi,bj)
438     & + MAX(salt(I,J,Kp1,bi,bj), zeroRL) * drKp1 )
439     & * recip_drLoc
440     #ifndef SHI_USTAR_WETPOINT
441     uLoc(I,J) = ( uLoc(I,J) * drF(K)*_hFacC(I,J,K,bi,bj)
442     & + drKp1 * recip_hFacC(I,J,Kp1,bi,bj) * halfRL *
443     & ( uVel(I, J,Kp1,bi,bj) * _hFacW(I, J,Kp1,bi,bj)
444     & + uVel(I+1,J,Kp1,bi,bj) * _hFacW(I+1,J,Kp1,bi,bj) )
445     & ) * recip_drLoc
446     vLoc(I,J) = ( vLoc(I,J) * drF(K)*_hFacC(I,J,K,bi,bj)
447     & + drKp1 * recip_hFacC(I,J,Kp1,bi,bj) * halfRL *
448     & ( vVel(I,J, Kp1,bi,bj) * _hFacS(I,J, Kp1,bi,bj)
449     & + vVel(I,J+1,Kp1,bi,bj) * _hFacS(I,J+1,Kp1,bi,bj) )
450     & ) * recip_drLoc
451     velSq(I,J) = uLoc(I,J)*uLoc(I,J)+vLoc(I,J)*vLoc(I,J)
452     #endif /* ndef SHI_USTAR_WETPOINT */
453     ENDIF
454     ENDDO
455     ENDDO
456     ENDIF
457    
458     #ifdef SHI_USTAR_TOPDR
459     IF ( SHELFICEBoundaryLayer ) THEN
460     DO J = 1, sNy
461     DO I = 1, sNx
462     uLoc(I,J) =
463     & u_topdr(I,J,bi,bj) + u_topdr(I+1,J,bi,bj)
464     vLoc(I,J) =
465     & v_topdr(I,J,bi,bj) + v_topdr(I,J+1,bi,bj)
466     velSq(I,J) = uLoc(I,J)*uLoc(I,J)+vLoc(I,J)*vLoc(I,J)
467     ENDDO
468     ENDDO
469     ENDIF
470     #endif
471    
472    
473    
474     C-- turn potential temperature into in-situ temperature relative
475     C-- to the surface
476     DO J = 1, sNy
477     DO I = 1, sNx
478     #ifndef ALLOW_OPENAD
479     tLoc(I,J) = SW_TEMP(sLoc(I,J),tLoc(I,J),pLoc(I,J),zeroRL)
480     #else
481     CALL SW_TEMP(sLoc(I,J),tLoc(I,J),pLoc(I,J),zeroRL,tLoc(I,J))
482     #endif
483     ENDDO
484     ENDDO
485    
486     #ifdef SHI_ALLOW_GAMMAFRICT
487     IF ( SHELFICEuseGammaFrict ) THEN
488     DO J = 1, sNy
489     DO I = 1, sNx
490     K = kTopC(I,J,bi,bj)
491     IF ( K .NE. 0 .AND. pLoc(I,J) .GT. 0. _d 0 ) THEN
492     ustarSq = shiCdrag * MAX( 1.D-6, velSq(I,J) )
493     ustar = SQRT(ustarSq)
494     #ifdef ALLOW_DIAGNOSTICS
495     uStarDiag(I,J,bi,bj) = ustar
496     #endif /* ALLOW_DIAGNOSTICS */
497     C instead of etastar = sqrt(1+zetaN*ustar./(f*Lo*Rc))
498     C etastar = 1. _d 0
499     C gammaTurbConst = 1. _d 0 / (2. _d 0 * shiZetaN*etastar)
500     C & - recip_shiKarman
501     IF ( fCori(I,J,bi,bj) .NE. 0. _d 0 ) THEN
502     gammaTurb = LOG( ustarSq * shiZetaN * etastar**2
503     & / ABS(fCori(I,J,bi,bj) * 5.0 _d 0 * shiKinVisc))
504     & * recip_shiKarman
505     & + gammaTurbConst
506     C Do we need to catch the unlikely case of very small ustar
507     C that can lead to negative gammaTurb?
508     C gammaTurb = MAX(0.D0, gammaTurb)
509     ELSE
510     gammaTurb = gammaTurbConst
511     ENDIF
512     shiTransCoeffT(i,j,bi,bj) = MAX( zeroRL,
513     & ustar/(gammaTurb + gammaTmoleT) )
514     shiTransCoeffS(i,j,bi,bj) = MAX( zeroRL,
515     & ustar/(gammaTurb + gammaTmoleS) )
516     ENDIF
517     ENDDO
518     ENDDO
519     ENDIF
520     #endif /* SHI_ALLOW_GAMMAFRICT */
521    
522     #ifdef ALLOW_AUTODIFF_TAMC
523     # ifdef SHI_ALLOW_GAMMAFRICT
524     CADJ STORE shiTransCoeffS(:,:,bi,bj) = comlev1_bibj,
525     CADJ & key=ikey, byte=isbyte
526     CADJ STORE shiTransCoeffT(:,:,bi,bj) = comlev1_bibj,
527     CADJ & key=ikey, byte=isbyte
528     # endif /* SHI_ALLOW_GAMMAFRICT */
529     #endif /* ALLOW_AUTODIFF_TAMC */
530     #ifdef ALLOW_ISOMIP_TD
531     IF ( useISOMIPTD ) THEN
532     DO J = 1, sNy
533     DO I = 1, sNx
534     K = kTopC(I,J,bi,bj)
535     IF ( K .NE. 0 .AND. pLoc(I,J) .GT. 0. _d 0 ) THEN
536     C-- Calculate freezing temperature as a function of salinity and pressure
537     thetaFreeze =
538     & sLoc(I,J) * ( a0 + a1*sqrt(sLoc(I,J)) + a2*sLoc(I,J) )
539     & + b*pLoc(I,J) + c0
540     C-- Calculate the upward heat and fresh water fluxes
541     shelfIceHeatFlux(I,J,bi,bj) = maskC(I,J,K,bi,bj)
542     & * shiTransCoeffT(i,j,bi,bj)
543     & * ( tLoc(I,J) - thetaFreeze )
544     & * HeatCapacity_Cp*rUnit2mass
545     #ifdef ALLOW_SHIFWFLX_CONTROL
546     & - xx_shifwflx_loc(I,J,bi,bj)*SHELFICElatentHeat
547     #endif /* ALLOW_SHIFWFLX_CONTROL */
548     C upward heat flux into the shelf-ice implies basal melting,
549     C thus a downward (negative upward) fresh water flux (as a mass flux),
550     C and vice versa
551     shelfIceFreshWaterFlux(I,J,bi,bj) =
552     & - shelfIceHeatFlux(I,J,bi,bj)
553     & *recip_latentHeat
554     C-- compute surface tendencies
555     shelficeForcingT(i,j,bi,bj) =
556     & - shelfIceHeatFlux(I,J,bi,bj)
557     & *recip_Cp*mass2rUnit
558     & - cFac * shelfIceFreshWaterFlux(I,J,bi,bj)*mass2rUnit
559     & * ( thetaFreeze - tLoc(I,J) )
560     shelficeForcingS(i,j,bi,bj) =
561     & shelfIceFreshWaterFlux(I,J,bi,bj) * mass2rUnit
562     & * ( cFac*sLoc(I,J) + (1. _d 0-cFac)*convertFW2SaltLoc )
563     C-- stress at the ice/water interface is computed in separate
564     C routines that are called from mom_fluxform/mom_vecinv
565     ELSE
566     shelfIceHeatFlux (I,J,bi,bj) = 0. _d 0
567     shelfIceFreshWaterFlux(I,J,bi,bj) = 0. _d 0
568     shelficeForcingT (I,J,bi,bj) = 0. _d 0
569     shelficeForcingS (I,J,bi,bj) = 0. _d 0
570     ENDIF
571     ENDDO
572     ENDDO
573     ELSE
574     #else
575     IF ( .TRUE. ) THEN
576     #endif /* ALLOW_ISOMIP_TD */
577     C use BRIOS thermodynamics, following Hellmers PhD thesis:
578     C Hellmer, H., 1989, A two-dimensional model for the thermohaline
579     C circulation under an ice shelf, Reports on Polar Research, No. 60
580     C (in German).
581    
582     DO J = 1, sNy
583     DO I = 1, sNx
584     K = kTopC(I,J,bi,bj)
585     IF ( K .NE. 0 .AND. pLoc(I,J) .GT. 0. _d 0 ) THEN
586     C heat flux into the ice shelf, default is diffusive flux
587     C (Holland and Jenkins, 1999, eq.21)
588     thetaFreeze = a0*sLoc(I,J)+c0+b*pLoc(I,J)
589     fwflxFac = 0. _d 0
590     IF ( tLoc(I,J) .GT. thetaFreeze ) fwflxFac = dFac
591     C a few abbreviations
592     eps1 = rUnit2mass*HeatCapacity_Cp
593     & *shiTransCoeffT(i,j,bi,bj)
594     eps2 = rUnit2mass*SHELFICElatentHeat
595     & *shiTransCoeffS(i,j,bi,bj)
596     eps5 = rUnit2mass*HeatCapacity_Cp
597     & *shiTransCoeffS(i,j,bi,bj)
598    
599     C solve quadratic equation for salinity at shelfice-ocean interface
600     C note: this part of the code is not very intuitive as it involves
601     C many arbitrary abbreviations that were introduced to derive the
602     C correct form of the quadratic equation for salinity. The abbreviations
603     C only make sense in connection with my notes on this (M.Losch)
604     C
605     C eps3a was introduced as a constant variant of eps3 to avoid AD of
606     C code of typ (pLoc-const)/pLoc
607     eps3a = rhoShelfIce*SHELFICEheatCapacity_Cp
608     & * SHELFICEkappa * ( 1. _d 0 - dFac )
609     eps3 = eps3a/pLoc(I,J)
610     eps4 = b*pLoc(I,J) + c0
611     eps6 = eps4 - tLoc(I,J)
612     eps7 = eps4 - SHELFICEthetaSurface
613     eps8 = rUnit2mass*SHELFICEheatCapacity_Cp
614     & *shiTransCoeffS(i,j,bi,bj) * fwflxFac
615     aqe = a0 *(eps1+eps3-eps8)
616     recip_aqe = 0. _d 0
617     IF ( aqe .NE. 0. _d 0 ) recip_aqe = 0.5 _d 0/aqe
618     c bqe = eps1*eps6 + eps3*eps7 - eps2
619     bqe = eps1*eps6
620     & + eps3a*( b
621     & + ( c0 - SHELFICEthetaSurface )/pLoc(I,J) )
622     & - eps2
623     & + eps8*( a0*sLoc(I,J) - eps7 )
624     cqe = ( eps2 + eps8*eps7 )*sLoc(I,J)
625     discrim = bqe*bqe - 4. _d 0*aqe*cqe
626     #undef ALLOW_SHELFICE_DEBUG
627     #ifdef ALLOW_SHELFICE_DEBUG
628     IF ( discrim .LT. 0. _d 0 ) THEN
629     print *, 'ml-shelfice: discrim = ', discrim,aqe,bqe,cqe
630     print *, 'ml-shelfice: pLoc = ', pLoc(I,J)
631     print *, 'ml-shelfice: tLoc = ', tLoc(I,J)
632     print *, 'ml-shelfice: sLoc = ', sLoc(I,J)
633     print *, 'ml-shelfice: tsurface= ',
634     & SHELFICEthetaSurface
635     print *, 'ml-shelfice: eps1 = ', eps1
636     print *, 'ml-shelfice: eps2 = ', eps2
637     print *, 'ml-shelfice: eps3 = ', eps3
638     print *, 'ml-shelfice: eps4 = ', eps4
639     print *, 'ml-shelfice: eps5 = ', eps5
640     print *, 'ml-shelfice: eps6 = ', eps6
641     print *, 'ml-shelfice: eps7 = ', eps7
642     print *, 'ml-shelfice: eps8 = ', eps8
643     print *, 'ml-shelfice: rU2mass = ', rUnit2mass
644     print *, 'ml-shelfice: rhoIce = ', rhoShelfIce
645     print *, 'ml-shelfice: cFac = ', cFac
646     print *, 'ml-shelfice: Cp_W = ', HeatCapacity_Cp
647     print *, 'ml-shelfice: Cp_I = ',
648     & SHELFICEHeatCapacity_Cp
649     print *, 'ml-shelfice: gammaT = ',
650     & SHELFICEheatTransCoeff
651     print *, 'ml-shelfice: gammaS = ',
652     & SHELFICEsaltTransCoeff
653     print *, 'ml-shelfice: lat.heat= ',
654     & SHELFICElatentHeat
655     STOP 'ABNORMAL END in S/R SHELFICE_THERMODYNAMICS'
656     ENDIF
657     #endif /* ALLOW_SHELFICE_DEBUG */
658     saltFreeze = (- bqe - SQRT(discrim))*recip_aqe
659     IF ( saltFreeze .LT. 0. _d 0 )
660     & saltFreeze = (- bqe + SQRT(discrim))*recip_aqe
661     thetaFreeze = a0*saltFreeze + eps4
662     C-- upward fresh water flux due to melting (in kg/m^2/s)
663     cph change to identical form
664     cph freshWaterFlux = rUnit2mass
665     cph & * shiTransCoeffS(i,j,bi,bj)
666     cph & * ( saltFreeze - sLoc(I,J) ) / saltFreeze
667     freshWaterFlux = rUnit2mass
668     & * shiTransCoeffS(i,j,bi,bj)
669     & * ( 1. _d 0 - sLoc(I,J) / saltFreeze )
670     #ifdef ALLOW_SHIFWFLX_CONTROL
671     & + xx_shifwflx_loc(I,J,bi,bj)
672     #endif /* ALLOW_SHIFWFLX_CONTROL */
673    
674    
675     #ifdef ALLOW_SHELFICE_GROUNDED_ICE
676     freshWaterFlux =
677     & freshWaterFlux*(GrdFactor(i,j,bi,bj)*0.5+0.5)
678     #endif
679    
680     C-- Calculate the upward heat and fresh water fluxes;
681     C-- MITgcm sign conventions: downward (negative) fresh water flux
682     C-- implies melting and due to upward (positive) heat flux
683     shelfIceHeatFlux(I,J,bi,bj) =
684     & ( eps3
685     & - freshWaterFlux*SHELFICEheatCapacity_Cp*fwflxFac )
686     & * ( thetaFreeze - SHELFICEthetaSurface )
687     & - cFac*freshWaterFlux*( SHELFICElatentHeat
688     & - HeatCapacity_Cp*( thetaFreeze - rFac*tLoc(I,J) ) )
689     shelfIceFreshWaterFlux(I,J,bi,bj) = freshWaterFlux
690     C-- compute surface tendencies
691     shelficeForcingT(i,j,bi,bj) =
692     & ( shiTransCoeffT(i,j,bi,bj)
693     & - cFac*shelfIceFreshWaterFlux(I,J,bi,bj)*mass2rUnit )
694     & * ( thetaFreeze - tLoc(I,J) )
695     & - realFWfac*shelfIceFreshWaterFlux(I,J,bi,bj)*
696     & mass2rUnit*
697     & ( tLoc(I,J) - theta(I,J,K,bi,bj) )
698     shelficeForcingS(i,j,bi,bj) =
699     & ( shiTransCoeffS(i,j,bi,bj)
700     & - cFac*shelfIceFreshWaterFlux(I,J,bi,bj)*mass2rUnit )
701     & * ( saltFreeze - sLoc(I,J) )
702     & - realFWfac*shelfIceFreshWaterFlux(I,J,bi,bj)*
703     & mass2rUnit*
704     & ( sLoc(I,J) - salt(I,J,K,bi,bj) )
705     ELSE
706     shelfIceHeatFlux (I,J,bi,bj) = 0. _d 0
707     shelfIceFreshWaterFlux(I,J,bi,bj) = 0. _d 0
708     shelficeForcingT (I,J,bi,bj) = 0. _d 0
709     shelficeForcingS (I,J,bi,bj) = 0. _d 0
710     ENDIF
711     ENDDO
712     ENDDO
713     ENDIF
714     C endif (not) useISOMIPTD
715     ! close bi, bj loop
716     ENDDO
717     ENDDO
718    
719    
720     IF (SHELFICEMassStepping) THEN
721     CALL SHELFICE_STEP_ICEMASS( myTime, myIter, myThid )
722     ENDIF
723    
724     C-- Calculate new loading anomaly (in case the ice-shelf mass was updated)
725     #ifndef ALLOW_AUTODIFF
726     c IF ( SHELFICEloadAnomalyFile .EQ. ' ' ) THEN
727     DO bj = myByLo(myThid), myByHi(myThid)
728     DO bi = myBxLo(myThid), myBxHi(myThid)
729     DO j = 1-OLy, sNy+OLy
730     DO i = 1-OLx, sNx+OLx
731     #ifndef ALLOW_SHELFICE_GROUNDED_ICE
732    
733     shelficeLoadAnomaly(i,j,bi,bj) = gravity
734     & *( shelficeMass(i,j,bi,bj) + rhoConst*Ro_surf(i,j,bi,bj) )
735    
736     #else
737    
738     shelficeLoadAnomaly(i,j,bi,bj) = gravity
739     & *( EFFMASS(I,J,BI,BJ) + rhoConst*Ro_surf(i,j,bi,bj) )
740    
741     #endif
742     ENDDO
743     ENDDO
744     ENDDO
745     ENDDO
746     c ENDIF
747     #endif /* ndef ALLOW_AUTODIFF */
748    
749    
750    
751     #ifdef ALLOW_DIAGNOSTICS
752     IF ( useDiagnostics ) THEN
753     CALL DIAGNOSTICS_FILL_RS(shelfIceFreshWaterFlux,'SHIfwFlx',
754     & 0,1,0,1,1,myThid)
755     CALL DIAGNOSTICS_FILL_RS(shelfIceHeatFlux, 'SHIhtFlx',
756     & 0,1,0,1,1,myThid)
757     C SHIForcT (Ice shelf forcing for theta [W/m2], >0 increases theta)
758     tmpFac = HeatCapacity_Cp*rUnit2mass
759     CALL DIAGNOSTICS_SCALE_FILL(shelficeForcingT,tmpFac,1,
760     & 'SHIForcT',0,1,0,1,1,myThid)
761     C SHIForcS (Ice shelf forcing for salt [g/m2/s], >0 increases salt)
762     tmpFac = rUnit2mass
763     CALL DIAGNOSTICS_SCALE_FILL(shelficeForcingS,tmpFac,1,
764     & 'SHIForcS',0,1,0,1,1,myThid)
765     C Transfer coefficients
766     CALL DIAGNOSTICS_FILL(shiTransCoeffT,'SHIgammT',
767     & 0,1,0,1,1,myThid)
768     CALL DIAGNOSTICS_FILL(shiTransCoeffS,'SHIgammS',
769     & 0,1,0,1,1,myThid)
770     C Friction velocity
771     #ifdef SHI_ALLOW_GAMMAFRICT
772     IF ( SHELFICEuseGammaFrict )
773     & CALL DIAGNOSTICS_FILL(uStarDiag,'SHIuStar',0,1,0,1,1,myThid)
774     #endif /* SHI_ALLOW_GAMMAFRICT */
775     #ifdef ALLOW_SHELFICE_REMESHING
776     CALL DIAGNOSTICS_FILL(R_shelfice,'SHIRshel',
777     & 0,1,0,1,1,myThid)
778     #endif
779     #ifdef ALLOW_SHELFICE_GROUNDED_ICE
780     CALL DIAGNOSTICS_FILL(EFFMASS,'SHI_MEff',
781     & 0,1,0,1,1,myThid)
782     CALL DIAGNOSTICS_FILL(Rmin_surf,'SHI_Rmin',
783     & 0,1,0,1,1,myThid)
784     #ifdef ALLOW_PRESSURE_RELEASE_CODE
785     CALL DIAGNOSTICS_FILL(pReleaseTransX,'pRelUflx',
786     & 0,1,0,1,1,myThid)
787     CALL DIAGNOSTICS_FILL(pReleaseTransY,'pRelVflx',
788     & 0,1,0,1,1,myThid)
789     CALL DIAGNOSTICS_FILL(depthcolw,'DEPTH_DX',
790     & 0,1,0,1,1,myThid)
791     CALL DIAGNOSTICS_FILL(depthcols,'DEPTH_DY',
792     & 0,1,0,1,1,myThid)
793     #endif
794     #endif
795     ENDIF
796     #endif /* ALLOW_DIAGNOSTICS */
797    
798     #endif /* ALLOW_SHELFICE */
799     RETURN
800     END

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