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sisvat_tso.F @ 4098

Last change on this file since 4098 was 3792, checked in by evignon, 4 years ago
Ajout de INLANDSIS, nouvelle interface entre LMDZ et la neige de SISVAT Etienne, 04/01/2021
File size: 27.7 KB

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5	subroutine SISVAT_TSo
6	! #e1. (ETSo_0,ETSo_1,ETSo_d)
7
8	C +------------------------------------------------------------------------+
9	C \| MAR SISVAT_TSo 06-10-2020 MAR \|
10	C \| SubRoutine SISVAT_TSo computes the Soil/Snow Energy Balance \|
11	C +------------------------------------------------------------------------+
12	C \| \|
13	C \| PARAMETERS: knonv: Total Number of columns = \|
14	C \| ^^^^^^^^^^ = Total Number of continental grid boxes \|
15	C \| X Number of Mosaic Cell per grid box \|
16	C \| \|
17	C \| INPUT: isotSV = 0,...,11: Soil Type \|
18	C \| ^^^^^ 0: Water, Solid or Liquid \|
19	C \| isnoSV = total Nb of Ice/Snow Layers \|
20	C \| dQa_SV = Limitation of Water Vapor Turbulent Flux \|
21	C \| \|
22	C \| INPUT: sol_SV : Downward Solar Radiation [W/m2] \|
23	C \| ^^^^^ IRd_SV : Surface Downward Longwave Radiation [W/m2] \|
24	C \| za__SV : SBL Top Height [m] \|
25	C \| VV__SV : SBL Top Wind Speed [m/s] \|
26	C \| TaT_SV : SBL Top Temperature [K] \|
27	C \| rhT_SV : SBL Top Air Density [kg/m3] \|
28	C \| QaT_SV : SBL Top Specific Humidity [kg/kg] \|
29	C \| LSdzsv : Vertical Discretization Factor [-] \|
30	C \| = 1. Soil \|
31	C \| = 1000. Ocean \|
32	C \| dzsnSV : Snow Layer Thickness [m] \|
33	C \| ro__SV : Snow/Soil Volumic Mass [kg/m3] \|
34	C \| eta_SV : Soil Water Content [m3/m3] \|
35	C \| dt__SV : Time Step [s] \|
36	C \| \|
37	C \| SoSosv : Absorbed Solar Radiation by Surfac.(Normaliz)[-] \|
38	C \| Eso_sv : Soil+Snow Emissivity [-] \|
39	C \| rah_sv : Aerodynamic Resistance for Heat [s/m] \|
40	C \| Lx_H2O : Latent Heat of Vaporization/Sublimation [J/kg] \|
41	C \| sEX_sv : Verticaly Integrated Extinction Coefficient [-] \|
42	C \| \|
43	C \| INPUT / TsisSV : Soil/Ice Temperatures (layers -nsol,-nsol+1,..,0)\|
44	C \| OUTPUT: & Snow Temperatures (layers 1,2,...,nsno) [K] \|
45	C \| ^^^^^^ \|
46	C \| \|
47	C \| OUTPUT: IRs_SV : Soil IR Radiation [W/m2] \|
48	C \| ^^^^^^ HSs_sv : Sensible Heat Flux [W/m2] \|
49	C \| HLs_sv : Latent Heat Flux [W/m2] \|
50	C \| ETSo_0 : Snow/Soil Energy Power, before Forcing [W/m2] \|
51	C \| ETSo_1 : Snow/Soil Energy Power, after Forcing [W/m2] \|
52	C \| ETSo_d : Snow/Soil Energy Power Forcing [W/m2] \|
53	C \| \|
54	C \| Internal Variables: \|
55	C \| ^^^^^^^^^^^^^^^^^^ \|
56	C \| \|
57	C \| METHOD: NO Skin Surface Temperature \|
58	C \| ^^^^^^ Semi-Implicit Crank Nicholson Scheme \|
59	C \| \|
60	C \| # OPTIONS: #E0: Energy Budget Verification \|
61	C \| # ^^^^^^^ #kd: KDsvat Option:NO Flux Limitor on HL \|
62	C \| # #KD: KDsvat Option:Explicit Formulation of HL \|
63	C \| # #NC: OUTPUT for Stand Alone NetCDF File \|
64	C \| \|
65	C +------------------------------------------------------------------------+
66
67
68
69
70	C +--Global Variables
71	C + ================
72
73	use VARphy
74	use VAR_SV
75	use VARdSV
76	use VARxSV
77	use VARySV
78	use VARtSV
79	use VAR0SV
80
81
82	IMPLICIT NONE
83
84
85	C +--OUTPUT
86	C + ------
87
88	! #e1 real ETSo_0(knonv) ! Soil/Snow Power, before Forcing
89	! #e1 real ETSo_1(knonv) ! Soil/Snow Power, after Forcing
90	! #e1 real ETSo_d(knonv) ! Soil/Snow Power, Forcing
91
92
93	C +--Internal Variables
94	C + ==================
95
96	integer ikl ,isl ,jsl ,ist !
97	integer ist__s,ist__w ! Soil/Water Body Identifier
98	integer islsgn ! Soil/Snow Surfac.Identifier
99	real eps__3 ! Arbitrary Low Number
100	real etaMid,psiMid ! Layer Interface's Humidity
101	real mu_eta ! Soil thermal Conductivity
102	real mu_exp ! arg Soil thermal Conductivity
103	real mu_min ! Min Soil thermal Conductivity
104	real mu_max ! Max Soil thermal Conductivity
105	real mu_sno(knonv),mu_aux ! Snow thermal Conductivity
106	real mu__dz(knonv,-nsol:nsno+1) ! mu_(eta,sno) / dz
107	real dtC_sv(knonv,-nsol:nsno) ! dt / C
108	real IRs__D(knonv) ! UpwardIR Previous Iter.Contr.
109	real dIRsdT(knonv) ! UpwardIR T Derivat.
110	real f_HSHL(knonv) ! Factor common to HS and HL
111	real dRidTs(knonv) ! d(Rib)/d(Ts)
112	real HS___D(knonv) ! Sensible Heat Flux Atm.Contr.
113	real f___HL(knonv) !
114	real HL___D(knonv) ! Latent Heat Flux Atm.Contr.
115	REAL TSurf0(knonv),dTSurf ! Previous Surface Temperature
116	real qsatsg(knonv) !,den_qs,arg_qs ! Soil Saturat. Spec. Humidity
117	real dqs_dT(knonv) ! d(qsatsg)/dTv
118	real Psi( knonv) ! 1st Soil Layer Water Potential
119	real RHuSol(knonv) ! Soil Surface Relative Humidity
120	real etaSol ! Soil Surface Humidity
121	real d__eta ! Soil Surface Humidity Increm.
122	real Elem_A,Elem_C ! Diagonal Coefficients
123	real Diag_A(knonv,-nsol:nsno) ! A Diagonal
124	real Diag_B(knonv,-nsol:nsno) ! B Diagonal
125	real Diag_C(knonv,-nsol:nsno) ! C Diagonal
126	real Term_D(knonv,-nsol:nsno) ! Independant Term
127	real Aux__P(knonv,-nsol:nsno) ! P Auxiliary Variable
128	real Aux__Q(knonv,-nsol:nsno) ! Q Auxiliary Variable
129	real Ts_Min,Ts_Max ! Temperature Limits
130	! #e1 real Exist0 ! Existing Layer Switch
131	real psat_wat, psat_ice, sp ! computation of qsat
132
133	integer nt_srf,it_srf,itEuBk ! HL: Surface Scheme
134	parameter(nt_srf=10) !
135	real agpsrf,xgpsrf,dt_srf,dt_ver !
136	real etaBAK(knonv) !
137	real etaNEW(knonv) !
138	real etEuBk(knonv) !
139	real fac_dt(knonv),faceta(knonv) !
140	real PsiArg(knonv),SHuSol(knonv) !
141
142
143
144	C +--Internal DATA
145	C + =============
146
147	data eps__3 / 1.e-3 / ! Arbitrary Low Number
148	data mu_exp / -0.4343 / ! Soil Thermal Conductivity
149	data mu_min / 0.172 / ! Min Soil Thermal Conductivity
150	data mu_max / 2.000 / ! Max Soil Thermal Conductivity
151	data Ts_Min / 175. / ! Temperature Minimum
152	data Ts_Max / 300. / ! Temperature Acceptable Maximum
153	C + ! including Snow Melt Energy
154
155
156
157	C +--Heat Conduction Coefficient (zero in the Layers over the highest one)
158	C + ===========================
159	C + ---------------- isl eta_SV, rho C (isl)
160	C +
161	C +--Soil ++++++++++++++++ etaMid, mu (isl)
162	C + ----
163	C + ---------------- isl-1 eta_SV, rho C (isl-1)
164	isl=-nsol
165	DO ikl=1,knonv
166
167	mu__dz(ikl,isl) = 0.
168
169	dtC_sv(ikl,isl) = dtz_SV2(isl) * dt__SV ! dt / (dz X rho C)
170	. /((rocsSV(isotSV(ikl)) ! [s / (m.J/m3/K)]
171	. +rcwdSV*eta_SV(ikl,isl)) !
172	. *LSdzsv(ikl) ) !
173	END DO
174	DO isl=-nsol+1,0
175	DO ikl=1,knonv
176	ist = isotSV(ikl) ! Soil Type
177	ist__s = min(ist, 1) ! 1 => Soil
178	ist__w = 1 - ist__s ! 1 => Water Body
179
180	etaMid = 0.5(dz_dSV(isl-1)eta_SV(ikl,isl-1) ! eta at layers
181	. +dz_dSV(isl) *eta_SV(ikl,isl) ) ! interface
182	. /dzmiSV(isl) ! LSdzsv implicit !
183	etaMid = max(etaMid,epsi)
184	psiMid = psidSV(ist)
185	. (etadSV(ist)/etaMid)*bCHdSV(ist)
186	mu_eta = 3.82 (psiMid)*mu_exp ! Soil Thermal
187	mu_eta = min(max(mu_eta, mu_min), mu_max) ! Conductivity
188	C + ! DR97 eq.3.31
189	mu_eta = ist__s mu_eta +ist__w vK_dSV ! Water Bodies
190	C + ! Correction
191	mu__dz(ikl,isl) = mu_eta/(dzmiSV(isl) !
192	. *LSdzsv(ikl)) !
193
194	dtC_sv(ikl,isl) = dtz_SV2(isl)* dt__SV ! dt / (dz X rho C)
195	. /((rocsSV(isotSV(ikl)) !
196	. +rcwdSV*eta_SV(ikl,isl)) !
197	. *LSdzsv(ikl) ) !
198	END DO
199	END DO
200
201
202	C +--Soil/Snow Interface
203	C + -------------------
204
205	C +--Soil Contribution
206	C + ^^^^^^^^^^^^^^^^^
207	isl=1
208	DO ikl=1,knonv
209	ist = isotSV(ikl) ! Soil Type
210	ist__s = min(ist, 1) ! 1 => Soil
211	ist__w = 1 - ist__s ! 1 => Water Body
212	psiMid = psidSV(ist) ! Snow => Saturation
213	mu_eta = 3.82 (psiMid)*mu_exp ! Soil Thermal
214	mu_eta = min(max(mu_eta, mu_min), mu_max) ! Conductivity
215	C + ! DR97 eq.3.31
216	mu_eta = ist__s mu_eta +ist__w vK_dSV ! Water Bodies
217
218	C +--Snow Contribution
219	C + ^^^^^^^^^^^^^^^^^
220	mu_sno(ikl) = CdidSV !
221	. (ro__SV(ikl,isl) /ro_Wat) * 1.88 !
222	mu_sno(ikl) = max(epsi,mu_sno(ikl)) !
223	C +... mu_sno : Snow Heat Conductivity Coefficient [Wm/K]
224	C + (Yen 1981, CRREL Rep., 81-10)
225
226	C +--Combined Heat Conductivity
227	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^
228	mu__dz(ikl,isl) = 2./(dzsnSV(ikl,isl ) ! Combined Heat
229	. /mu_sno(ikl) ! Conductivity
230	. +LSdzsv(ikl) !
231	. *dz_dSV( isl-1)/mu_eta) ! Coefficient
232
233	C +--Inverted Heat Capacity
234	C + ^^^^^^^^^^^^^^^^^^^^^^
235	dtC_sv(ikl,isl) = dt__SV/max(epsi, ! dt / (dz X rho C)
236	. dzsnSV(ikl,isl) * ro__SV(ikl,isl) *Cn_dSV) !
237	END DO
238
239
240	C +--Snow
241	C + ----
242
243	DO ikl=1,knonv
244	DO isl=1,min(nsno,isnoSV(ikl)+1)
245	ro__SV(ikl,isl) = !
246	. ro__SV(ikl ,isl) !
247	. * max(0,min(isnoSV(ikl)-isl+1,1)) !
248
249	END DO
250	END DO
251
252	DO ikl=1,knonv
253	DO isl=1,min(nsno,isnoSV(ikl)+1)
254
255	C +--Combined Heat Conductivity
256	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^
257	mu_aux = CdidSV !
258	. (ro__SV(ikl,isl) /ro_Wat) * 1.88 !
259	mu__dz(ikl,isl) = !
260	. 2. mu_auxmu_sno(ikl) ! Combined Heat
261	. /max(epsi,dzsnSV(ikl,isl )*mu_sno(ikl) ! Conductivity
262	. +dzsnSV(ikl,isl-1)*mu_aux ) ! For upper Layer
263	mu_sno(ikl) = mu_aux !
264
265	C +--Inverted Heat Capacity
266	C + ^^^^^^^^^^^^^^^^^^^^^^
267	dtC_sv(ikl,isl) = dt__SV/max(eps__3, ! dt / (dz X rho C)
268	. dzsnSV(ikl,isl) * ro__SV(ikl,isl) *Cn_dSV) !
269	END DO
270	END DO
271
272
273	C +--Uppermost Effective Layer: NO conduction
274	C + ----------------------------------------
275
276	DO ikl=1,knonv
277	mu__dz(ikl,isnoSV(ikl)+1) = 0.0
278	END DO
279
280
281	C +--Energy Budget (IN)
282	C + ==================
283
284	! #e1 DO ikl=1,knonv
285	! #e1 ETSo_0(ikl) = 0.
286	! #e1 END DO
287	! #e1 DO isl= -nsol,nsno
288	! #e1 DO ikl=1,knonv
289	! #e1 Exist0 = isl - isnoSV(ikl)
290	! #e1 Exist0 = 1. - max(zero,min(unun,Exist0))
291	! #e1 ETSo_0(ikl) = ETSo_0(ikl)
292	! #e1. +(TsisSV(ikl,isl)-TfSnow)*Exist0
293	! #e1. /dtC_sv(ikl,isl)
294	! #e1 END DO
295	! #e1 END DO
296
297
298	C +--Tridiagonal Elimination: Set Up
299	C + ===============================
300
301	C +--Soil/Snow Interior
302	C + ^^^^^^^^^^^^^^^^^^
303	DO ikl=1,knonv
304	DO isl=-nsol+1,min(nsno-1,isnoSV(ikl)+1)
305
306	Elem_A = dtC_sv(ikl,isl) *mu__dz(ikl,isl)
307	Elem_C = dtC_sv(ikl,isl) *mu__dz(ikl,isl+1)
308	Diag_A(ikl,isl) = -Elem_A *Implic
309	Diag_C(ikl,isl) = -Elem_C *Implic
310	Diag_B(ikl,isl) = 1.0d+0 -Diag_A(ikl,isl)-Diag_C(ikl,isl)
311	Term_D(ikl,isl) = Explic (Elem_A TsisSV(ikl,isl-1)
312	. +Elem_C *TsisSV(ikl,isl+1))
313	. +(1.0d+0 -Explic (Elem_A+Elem_C))TsisSV(ikl,isl)
314	. + dtC_sv(ikl,isl) * sol_SV(ikl) *SoSosv(ikl)
315	. *(sEX_sv(ikl,isl+1)
316	. -sEX_sv(ikl,isl ))
317	END DO
318	END DO
319
320	C +--Soil lowest Layer
321	C + ^^^^^^^^^^^^^^^^^^
322	isl= -nsol
323	DO ikl=1,knonv
324	Elem_A = 0.
325	Elem_C = dtC_sv(ikl,isl) *mu__dz(ikl,isl+1)
326	Diag_A(ikl,isl) = 0.
327	Diag_C(ikl,isl) = -Elem_C *Implic
328	Diag_B(ikl,isl) = 1.0d+0 -Diag_A(ikl,isl)-Diag_C(ikl,isl)
329	Term_D(ikl,isl) = Explic * Elem_C *TsisSV(ikl,isl+1)
330	. +(1.0d+0 -Explic * Elem_C) *TsisSV(ikl,isl)
331	. + dtC_sv(ikl,isl) * sol_SV(ikl) *SoSosv(ikl)
332	. *(sEX_sv(ikl,isl+1)
333	. -sEX_sv(ikl,isl ))
334	END DO
335
336	C +--Snow highest Layer (dummy!)
337	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^
338	isl= min(isnoSV(1)+1,nsno)
339	DO ikl=1,knonv
340	Elem_A = dtC_sv(ikl,isl) *mu__dz(ikl,isl)
341	Elem_C = 0.
342	Diag_A(ikl,isl) = -Elem_A *Implic
343	Diag_C(ikl,isl) = 0.
344	Diag_B(ikl,isl) = 1.0d+0 -Diag_A(ikl,isl)
345	Term_D(ikl,isl) = Explic * Elem_A *TsisSV(ikl,isl-1)
346	. +(1.0d+0 -Explic * Elem_A) *TsisSV(ikl,isl)
347	. + dtC_sv(ikl,isl) * (sol_SV(ikl) *SoSosv(ikl)
348	. *(sEX_sv(ikl,isl+1)
349	. -sEX_sv(ikl,isl )))
350	END DO
351
352	C +--Surface: UPwardIR Heat Flux
353	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^
354	DO ikl=1,knonv
355	isl = isnoSV(ikl)
356	dIRsdT(ikl) = Eso_sv(ikl)* StefBo * 4. ! - d(IR)/d(T)
357	. * TsisSV(ikl,isl) !
358	. * TsisSV(ikl,isl) !
359	. * TsisSV(ikl,isl) !
360	IRs__D(ikl) = dIRsdT(ikl)* TsisSV(ikl,isl) * 0.75 !
361
362	C +--Surface: Richardson Number: T Derivative
363	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
364	c #RC dRidTs(ikl) =-gravit * za__SV(ikl)
365	c #RC. /(TaT_SV(ikl) * VV__SV(ikl)
366	c #RC. * VV__SV(ikl))
367
368	C +--Surface: Turbulent Heat Flux: Factors
369	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
370	f_HSHL(ikl) = rhT_SV(ikl) / rah_sv(ikl) ! to HS, HL
371	f___HL(ikl) = f_HSHL(ikl) * Lx_H2O(ikl)
372
373	C +--Surface: Sensible Heat Flux: T Derivative
374	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
375	dSdTSV(ikl) = f_HSHL(ikl) * Cp !#- d(HS)/d(T)
376	c #RC. *(1.0 -(TsisSV(ikl,isl) -TaT_SV(ikl)) !#Richardson
377	c #RC. * dRidTs(ikl)*dFh_sv(ikl)/rah_sv(ikl)) ! Nb. Correct.
378	HS___D(ikl) = dSdTSV(ikl) * TaT_SV(ikl) !
379
380	C +--Surface: Latent Heat Flux: Saturation Specific Humidity
381	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
382	c den_qs = TsisSV(ikl,isl)- 35.8 !
383	c arg_qs = 17.27 *(TsisSV(ikl,isl)-273.16) !
384	c . / den_qs !
385	c qsatsg(ikl) = .0038 * exp(arg_qs) !
386
387	! sp = (pst_SV(ikl) + ptopSV) * 10.
388
389	sp=ps__SV(ikl)
390	psat_ice = 6.1070 * exp(6150. *(1./273.16 -
391	. 1./TsisSV(ikl,isl)))
392
393	psat_wat = 6.1078 * exp (5.138*log(273.16 /TsisSV(ikl,isl)))
394	. * exp (6827.*(1. /273.16-1./TsisSV(ikl,isl)))
395
396	if(TsisSV(ikl,isl)<=273.16) then
397	qsatsg(ikl) = 0.622 * psat_ice / (sp - 0.378 * psat_ice)
398	else
399	qsatsg(ikl) = 0.622 * psat_wat / (sp - 0.378 * psat_wat)
400	endif
401
402	c dqs_dT(ikl) = qsatsg(ikl)* 4099.2 /(den_qs *den_qs)!
403	fac_dt(ikl) = f_HSHL(ikl)/(ro_Wat * dz_dSV(0)) !
404	END DO
405
406	C +--Surface: Latent Heat Flux: Surface Relative Humidity
407	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
408	xgpsrf = 1.05 !
409	agpsrf = dt__SV*( 1.0-xgpsrf ) !
410	. /( 1.0-xgpsrf**nt_srf) !
411	dt_srf = agpsrf !
412	dt_ver = 0. !
413	DO ikl=1,knonv
414	isl = isnoSV(ikl) !
415	etaBAK(ikl) = max(epsi,eta_SV(ikl ,isl)) !
416	etaNEW(ikl) = etaBAK(ikl) !
417	etEuBk(ikl) = etaNEW(ikl) !
418	END DO !
419	DO it_srf=1,nt_srf !
420	dt_ver = dt_ver +dt_srf !
421	DO ikl=1,knonv !
422	faceta(ikl) = fac_dt(ikl)*dt_srf !
423	c #VX faceta(ikl) = faceta(ikl) !
424	c #VX. /(1.+faceta(ikl)*dQa_SV(ikl)) ! Limitation
425	! by Atm.Conten
426	c #??. *max(0,sign(1.,qsatsg(ikl)-QaT_SV(ikl)))) ! NO Limitation
427	! of Downw.Flux
428	END DO !
429	DO itEuBk=1,2 !
430	DO ikl=1,knonv
431	ist = max(0,isotSV(ikl)-100*isnoSV(ikl)) ! 0 if H2O
432	!
433	Psi(ikl) = !
434	. psidSV(ist) ! DR97, Eqn 3.34
435	. *(etadSV(ist) !
436	. /max(etEuBk(ikl),epsi)) !
437	. **bCHdSV(ist) !
438	PsiArg(ikl) = 7.2E-5*Psi(ikl) !
439	RHuSol(ikl) = exp(-min(0.,PsiArg(ikl))) !
440	SHuSol(ikl) = qsatsg(ikl) *RHuSol(ikl) ! DR97, Eqn 3.15
441	etEuBk(ikl) = !
442	. (etaNEW(ikl) + faceta(ikl)*(QaT_SV(ikl) !
443	. -SHuSol(ikl) !
444	. *(1. -bCHdSV(ist) !
445	. *PsiArg(ikl)) )) !
446	. /(1. + faceta(ikl)* SHuSol(ikl) !
447	. *bCHdSV(ist) !
448	. *PsiArg(ikl) !
449	. /etaNEW(ikl)) !
450	etEuBk(ikl) = etEuBk(ikl) !
451	c . /(Ro_Wat*dz_dSV(0)) !
452	. * dt_srf /(Ro_Wat*dz_dSV(0)) !
453	cXF 15/05/2017 BUG
454	END DO !
455	END DO !
456	DO ikl=1,knonv !
457	etaNEW(ikl) = max(etEuBk(ikl),epsi) !
458	END DO !
459	dt_srf = dt_srf * xgpsrf !
460	END DO !
461
462	C +--Surface: Latent Heat Flux: Soil/Water Surface Contributions
463	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
464	DO ikl=1,knonv !
465	isl = isnoSV(ikl) !
466	ist = max(0,isotSV(ikl)-100*isnoSV(ikl)) ! 0 if H2O
467	ist__s= min(1,ist) ! 1 if no H2O
468	ist__w= 1-ist__s ! 1 if H2O
469	d__eta = eta_SV(ikl,isl)-etaNEW(ikl) !
470	! latent heat flux computation
471	HL___D(ikl)=( ist__s ro_Wat dz_dSV(0) ! Soil Contrib.
472	. *(etaNEW(ikl) -etaBAK(ikl)) / dt__SV !
473	. +ist__w *f_HSHL(ikl) ! H2O Contrib.
474	. *(QaT_SV(ikl) - qsatsg(ikl)) ) !
475	. * Lx_H2O(ikl) ! common factor
476
477	c #DL RHuSol(ikl) =(QaT_SV(ikl) !
478	c #DL. -HL___D(ikl) / f___HL(ikl)) !
479	c #DL. / qsatsg(ikl) !
480
481	C +--Surface: Latent Heat Flux: T Derivative
482	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
483	dLdTSV(ikl) = 0.
484	c #DL dLdTSV(ikl) = f___HL(ikl) * RHuSol(ikl) *dqs_dT(ikl) ! - d(HL)/d(T)
485	c #DL HL___D(ikl) = HL___D(ikl) !
486	c #DL. +dLdTSV(ikl) * TsisSV(ikl,isl) !
487	END DO !
488
489	C +--Surface: Tridiagonal Matrix Set Up
490	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
491	DO ikl=1,knonv
492	isl = isnoSV(ikl)
493	TSurf0(ikl) = TsisSV(ikl,isl)
494
495	Elem_A = dtC_sv(ikl,isl)*mu__dz(ikl,isl)
496	Elem_C = 0.
497	Diag_A(ikl,isl) = -Elem_A *Implic
498	Diag_C(ikl,isl) = 0.
499	Diag_B(ikl,isl) = 1.0d+0 -Diag_A(ikl,isl)
500	Diag_B(ikl,isl) = Diag_B(ikl,isl)
501	. + dtC_sv(ikl,isl) * (dIRsdT(ikl) ! Upw. Sol IR
502	. +dSdTSV(ikl) ! HS/Surf.Contr.
503	. +dLdTSV(ikl)) ! HL/Surf.Contr.
504
505	Term_D(ikl,isl) = Explic Elem_A TsisSV(ikl,isl-1)
506	. +(1.0d+0 -Explic Elem_A)TsisSV(ikl,isl)
507
508
509
510	Term_D(ikl,isl) = Term_D(ikl,isl)
511	. + dtC_sv(ikl,isl) * (sol_SV(ikl) *SoSosv(ikl) ! Absorbed
512	. *(sEX_sv(ikl,isl+1) ! Solar
513	. -sEX_sv(ikl,isl ))!
514	. + IRd_SV(ikl)*Eso_sv(ikl) ! Down Atm IR
515	. +IRs__D(ikl) ! Upw. Sol IR
516	. +HS___D(ikl) ! HS/Atmo.Contr.
517	. +HL___D(ikl) )! HL/Atmo.Contr.
518
519	END DO
520
521
522	C +--Tridiagonal Elimination
523	C + =======================
524
525	C +--Forward Sweep
526	C + ^^^^^^^^^^^^^^
527	DO ikl= 1,knonv
528	Aux__P(ikl,-nsol) = Diag_B(ikl,-nsol)
529	Aux__Q(ikl,-nsol) =-Diag_C(ikl,-nsol)/Aux__P(ikl,-nsol)
530	END DO
531
532	DO ikl= 1,knonv
533
534	DO isl=-nsol+1,min(nsno,isnoSV(ikl)+1)
535	Aux__P(ikl,isl) = Diag_A(ikl,isl) *Aux__Q(ikl,isl-1)
536	. +Diag_B(ikl,isl)
537	Aux__Q(ikl,isl) =-Diag_C(ikl,isl) /Aux__P(ikl,isl)
538	END DO
539	END DO
540
541	DO ikl= 1,knonv
542	TsisSV(ikl,-nsol) = Term_D(ikl,-nsol)/Aux__P(ikl,-nsol)
543	END DO
544
545	DO ikl= 1,knonv
546	DO isl=-nsol+1,min(nsno,isnoSV(ikl)+1)
547	TsisSV(ikl,isl) =(Term_D(ikl,isl)
548	. -Diag_A(ikl,isl) *TsisSV(ikl,isl-1))
549	. /Aux__P(ikl,isl)
550
551
552	END DO
553	END DO
554
555	C +--Backward Sweep
556	C + ^^^^^^^^^^^^^^
557	DO ikl= 1,knonv
558	DO isl=min(nsno-1,isnoSV(ikl)+1),-nsol,-1
559
560
561	TsisSV(ikl,isl) = Aux__Q(ikl,isl) *TsisSV(ikl,isl+1)
562	. +TsisSV(ikl,isl)
563	if(isl==0.and.isnoSV(ikl)==0) then
564
565	TsisSV(ikl,isl) = min(TaT_SV(ikl)+30,TsisSV(ikl,isl))
566	TsisSV(ikl,isl) = max(TaT_SV(ikl)-30,TsisSV(ikl,isl))
567
568
569	c #EU TsisSV(ikl,isl) = max(TaT_SV(ikl)-15.,TsisSV(ikl,isl))
570
571	!XF 18/11/2018 to avoid ST reaching 70�C!!
572	!It is an error compensation but does not work over tundra
573
574	endif
575
576
577
578	END DO
579
580	END DO
581
582	C +--Temperature Limits (avoids problems in case of no Snow Layers)
583	C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
584	DO ikl= 1,knonv
585	isl = isnoSV(ikl)
586	dTSurf = TsisSV(ikl,isl) - TSurf0(ikl)
587	TsisSV(ikl,isl) = TSurf0(ikl) + sign(1.,dTSurf) ! 180.0 dgC/hr
588	. * min(abs(dTSurf),5.e-2*dt__SV) ! =0.05 dgC/s
589
590
591
592	END DO
593
594	DO ikl= 1,knonv
595	DO isl=min(nsno,isnoSV(ikl)+1),1 ,-1
596	TsisSV(ikl,isl) = max(Ts_Min, TsisSV(ikl,isl))
597	TsisSV(ikl,isl) = min(Ts_Max, TsisSV(ikl,isl))
598	END DO
599
600	END DO
601
602	C +--Update Surface Fluxes
603	C + ========================
604
605	DO ikl= 1,knonv
606	isl = isnoSV(ikl)
607	IRs_SV(ikl) = IRs__D(ikl) !
608	. - dIRsdT(ikl) * TsisSV(ikl,isl) !
609	HSs_sv(ikl) = HS___D(ikl) ! Sensible Heat
610	. - dSdTSV(ikl) * TsisSV(ikl,isl) ! Downward > 0
611	HLs_sv(ikl) = HL___D(ikl) ! Latent Heat
612	. - dLdTSV(ikl) * TsisSV(ikl,isl) ! Downward > 0
613	END DO
614
615
616
617	return
618	end

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