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wx_pbl_mod.F90 @ 5119

Last change on this file since 5119 was 5117, checked in by abarral, 4 months ago
rename modules properly lmdz_* move some unused files to obsolete/ (lint) uppercase fortran keywords
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1	MODULE wx_pbl_mod
2
3	! Split Planetary Boundary Layer
4
5	! This module manages the splitting of the boundary layer between two regions; the (w)
6	! region (inside cold pools) and the (x) region (outside cold pools)
7
8	USE dimphy
9
10	IMPLICIT NONE
11
12	CONTAINS
13
14	!****************************************************************************************
15
16	SUBROUTINE wx_pbl0_merge(knon, ypplay, ypaprs, &
17	sigw, dTs_forcing, dqs_forcing, &
18	yt_x, yt_w, yq_x, yq_w, &
19	yu_x, yu_w, yv_x, yv_w, &
20	ycdragh_x, ycdragh_w, ycdragq_x, ycdragq_w, &
21	ycdragm_x, ycdragm_w, &
22	AcoefT_x, AcoefT_w, AcoefQ_x, AcoefQ_w, &
23	AcoefU_x, AcoefU_w, AcoefV_x, AcoefV_w, &
24	BcoefT_x, BcoefT_w, BcoefQ_x, BcoefQ_w, &
25	BcoefU_x, BcoefU_w, BcoefV_x, BcoefV_w, &
26	AcoefT, AcoefQ, AcoefU, AcoefV, &
27	BcoefT, BcoefQ, BcoefU, BcoefV, &
28	ycdragh, ycdragq, ycdragm, &
29	yt1, yq1, yu1, yv1 &
30	)
31
32	USE wx_pbl_var_mod
33
34	USE lmdz_print_control, ONLY: prt_level,lunout
35	USE indice_sol_mod, ONLY: is_oce
36
37	INCLUDE "YOMCST.h"
38	INCLUDE "FCTTRE.h"
39	INCLUDE "YOETHF.h"
40	INCLUDE "clesphys.h"
41
42	INTEGER, INTENT(IN) :: knon ! number of grid cells
43	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypplay ! mid-layer pressure (Pa)
44	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypaprs ! pressure at layer interfaces (pa)
45	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pools fractional area
46	REAL, DIMENSION(knon), INTENT(IN) :: dTs_forcing ! forced temperature difference (w)-(x)
47	REAL, DIMENSION(knon), INTENT(IN) :: dqs_forcing ! forced humidity difference (w)-(x)
48	REAL, DIMENSION(knon,klev), INTENT(IN) :: yt_x, yt_w, yq_x, yq_w
49	REAL, DIMENSION(knon,klev), INTENT(IN) :: yu_x, yu_w, yv_x, yv_w
50	REAL, DIMENSION(knon), INTENT(IN) :: ycdragh_x, ycdragh_w, ycdragq_x, ycdragq_w
51	REAL, DIMENSION(knon), INTENT(IN) :: ycdragm_x, ycdragm_w
52	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT_x, AcoefT_w, AcoefQ_x, AcoefQ_w
53	REAL, DIMENSION(knon), INTENT(IN) :: AcoefU_x, AcoefU_w, AcoefV_x, AcoefV_w
54	REAL, DIMENSION(knon), INTENT(IN) :: BcoefT_x, BcoefT_w, BcoefQ_x, BcoefQ_w
55	REAL, DIMENSION(knon), INTENT(IN) :: BcoefU_x, BcoefU_w, BcoefV_x, BcoefV_w
56	REAL, DIMENSION(knon), INTENT(OUT) :: AcoefT, AcoefQ, AcoefU, AcoefV
57	REAL, DIMENSION(knon), INTENT(OUT) :: BcoefT, BcoefQ, BcoefU, BcoefV
58	REAL, DIMENSION(knon), INTENT(OUT) :: ycdragh, ycdragq, ycdragm
59	REAL, DIMENSION(knon), INTENT(OUT) :: yt1, yq1, yu1, yv1 ! Apparent T, q, u, v at first level, as
60	!seen by surface modules
61
62	! Local variables
63	INTEGER :: j
64	REAL :: dd_Kh
65	REAL :: dd_Kq
66	REAL :: dd_Km
67	REAL :: dd_u
68	REAL :: dd_v
69	REAL :: dd_t
70	REAL :: dd_q
71
72	REAL :: LambdaTs, LambdaQs, LambdaUs, LambdaVs
73
74	REAL, DIMENSION(knon) :: sigx ! fractional area of (x) region
75
76
77	sigx(1:knon) = 1.-sigw(1:knon)
78
79
80	DO j=1,knon
81
82
83	! Compute w-x differences
84	dd_t = yt_w(j,1) - yt_x(j,1)
85	dd_q = yq_w(j,1) - yq_x(j,1)
86	dd_u = yu_w(j,1) - yu_x(j,1)
87	dd_v = yv_w(j,1) - yv_x(j,1)
88
89	! Merged exchange coefficients
90	dd_Kh = Kech_h_w(j) - Kech_h_x(j)
91	dd_Kq = Kech_q_w(j) - Kech_q_x(j)
92	dd_Km = Kech_m_w(j) - Kech_m_x(j)
93
94	LambdaTs = dd_KTp(j)/Kech_Tp(j)
95	LambdaQs = dd_KQs(j)/Kech_Qs(j)
96	LambdaUs = dd_KUp(j)/Kech_Up(j)
97	LambdaVs = dd_KVp(j)/Kech_Vp(j)
98
99	! Calcul des coef A, B \'equivalents dans la couche 1
100
101	! The dTs_forcing and dqs_forcing terms are added for diagnostic purpose ; they should be zero in normal operation.
102	AcoefT(j) = AcoefT_x(j) + sigw(j)(1.+sigx(j)LambdaTs)(dd_AT(j) - C_p(j)dTs_forcing(j))
103	AcoefQ(j) = AcoefQ_x(j) + sigw(j)(1.+sigx(j)LambdaQs)*(dd_AQ(j) - dqs_forcing(j))
104	AcoefU(j) = AcoefU_x(j) + sigw(j)(1.+sigx(j)LambdaUs)*dd_AU(j)
105	AcoefV(j) = AcoefV_x(j) + sigw(j)(1.+sigx(j)LambdaVs)*dd_AV(j)
106
107
108	!! BcoefT(j) = (sigw(j)Kech_h_w(j)Kech_T_pw(j)*BcoefT_w(j) + &
109	!! sigx(j)Kech_h_x(j)Kech_T_px(j)BcoefT_x(j) )/(Kech_h(j)Kech_Tp(j))
110	!! BcoefQ(j) = (sigw(j)Kech_q_w(j)Kech_Q_pw(j)*BcoefQ_w(j) + &
111	!! sigx(j)Kech_q_x(j)Kech_Q_px(j)BcoefQ_x(j) )/(Kech_q(j)Kech_Qp(j))
112	!! BcoefU(j) = (sigw(j)Kech_m_w(j)Kech_U_pw(j)*BcoefU_w(j) + &
113	!! sigx(j)Kech_m_x(j)Kech_U_px(j)BcoefU_x(j) )/(Kech_m(j)Kech_Up(j))
114	!! BcoefV(j) = (sigw(j)Kech_m_w(j)Kech_V_pw(j)*BcoefV_w(j) + &
115	!! sigx(j)Kech_m_x(j)Kech_V_px(j)BcoefV_x(j) )/(Kech_m(j)Kech_Vp(j))
116
117	!! Print *,'YYYYpbl0: BcoefT_x, sigw, sigx, dd_Kh, dd_KTp, Kech_h_w ', &
118	!! BcoefT_x, sigw, sigx, dd_Kh, dd_KTp, Kech_h_w
119	!! Print *,'YYYYpbl0: Kech_T_pw, dd_BT, Kech_h, Kech_Tp ', &
120	!! Kech_T_pw, dd_BT, Kech_h, Kech_Tp
121	BcoefT(j) = BcoefT_x(j) + sigw(j)(sigx(j)dd_Khdd_KTp(j)BcoefT_x(j) + &
122	Kech_h_w(j)Kech_T_pw(j)dd_BT(j))/(Kech_h(j)*Kech_Tp(j))
123	BcoefQ(j) = BcoefQ_x(j) + sigw(j)(sigx(j)dd_Kqdd_KQs(j)BcoefQ_x(j) + &
124	Kech_q_w(j)Kech_Q_sw(j)dd_BQ(j))/(Kech_q(j)*Kech_Qs(j))
125	BcoefU(j) = BcoefU_x(j) + sigw(j)(sigx(j)dd_Kmdd_KUp(j)BcoefU_x(j) + &
126	Kech_m_w(j)Kech_U_pw(j)dd_BU(j))/(Kech_m(j)*Kech_Up(j))
127	BcoefV(j) = BcoefV_x(j) + sigw(j)(sigx(j)dd_Kmdd_KVp(j)BcoefV_x(j) + &
128	Kech_m_w(j)Kech_V_pw(j)dd_BV(j))/(Kech_m(j)*Kech_Vp(j))
129	!>jyg
130
131
132	! Calcul des cdrag \'equivalents dans la couche
133
134	ycdragm(j) = ycdragm_x(j) + sigw(j)*dd_Cdragm(j)
135	ycdragh(j) = ycdragh_x(j) + sigw(j)*dd_Cdragh(j)
136	ycdragq(j) = ycdragq_x(j) + sigw(j)*dd_Cdragq(j)
137
138	! Calcul de T, q, u et v \'equivalents dans la couche 1
139	!! yt1(j) = yt_x(j,1) + sigw(j)dd_t(1.+sigx(j)*dd_Kh/KCT)
140	!! yq1(j) = yq_x(j,1) + sigw(j)dd_q(1.+sigx(j)*dd_Kh/KCQ)
141	!! yu1(j) = yu_x(j,1) + sigw(j)dd_u(1.+sigx(j)*dd_Km/KCU)
142	!! yv1(j) = yv_x(j,1) + sigw(j)dd_v(1.+sigx(j)*dd_Km/KCV)
143	yt1(j) = yt_x(j,1) + sigw(j)*dd_t
144	yq1(j) = yq_x(j,1) + sigw(j)*dd_q
145	yu1(j) = yu_x(j,1) + sigw(j)*dd_u
146	yv1(j) = yv_x(j,1) + sigw(j)*dd_v
147
148
149	ENDDO
150
151
152
153	END SUBROUTINE wx_pbl0_merge
154
155	SUBROUTINE wx_pbl_dts_merge(knon, dtime, ypplay, ypaprs, &
156	sigw, beta, wcstar, wdens, &
157	AT_x, AT_w, &
158	BT_x, BT_w, &
159	AcoefT0, AcoefQ0, BcoefT0, BcoefQ0, &
160	AcoefT, AcoefQ, BcoefT, BcoefQ, &
161	HTphiT_b, dd_HTphiT, HTphiQ_b, dd_HTphiQ, HTRn_b, dd_HTRn, &
162	phiT0_b, dphiT0, phiQ0_b, dphiQ0, Rn0_b, dRn0, &
163	g_T, g_Q, &
164	Gamma_phiT, Gamma_phiQ, &
165	dTs_ins, dqsatsrf_ins &
166	)
167
168	USE wx_pbl_var_mod
169
170	USE lmdz_print_control, ONLY: prt_level,lunout
171
172	INCLUDE "YOMCST.h"
173	INCLUDE "FCTTRE.h"
174	INCLUDE "YOETHF.h"
175
176	INTEGER, INTENT(IN) :: knon ! number of grid cells
177	REAL, INTENT(IN) :: dtime ! time step size (s)
178	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypplay ! mid-layer pressure (Pa)
179	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypaprs ! pressure at layer interfaces (pa)
180	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pool fractional area
181	REAL, DIMENSION(knon), INTENT(IN) :: beta ! evaporation by potential evaporation
182	REAL, DIMENSION(knon), INTENT(IN) :: wcstar ! cold pool gust front speed
183	REAL, DIMENSION(knon), INTENT(IN) :: wdens ! cold pool number density
184	REAL, DIMENSION(knon), INTENT(IN) :: AT_x, AT_w
185	REAL, DIMENSION(knon), INTENT(IN) :: BT_x, BT_w
186	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT0, AcoefQ0, BcoefT0, BcoefQ0
187
188	REAL, DIMENSION(knon), INTENT(OUT) :: AcoefT, AcoefQ, BcoefT, BcoefQ
189	REAL, DIMENSION(knon), INTENT(OUT) :: HTphiT_b, dd_HTphiT, HTphiQ_b, dd_HTphiQ, HTRn_b, dd_HTRn
190	REAL, DIMENSION(knon), INTENT(OUT) :: phiT0_b, dphiT0, phiQ0_b, dphiQ0, Rn0_b, dRn0
191	REAL, DIMENSION(knon), INTENT(OUT) :: g_T, g_Q
192	REAL, DIMENSION(knon), INTENT(OUT) :: Gamma_phiT, Gamma_phiQ
193	REAL, DIMENSION(knon), INTENT(OUT) :: dTs_ins, dqsatsrf_ins
194
195	! Local variables
196	REAL, DIMENSION(knon) :: qsat_x
197	REAL, DIMENSION(knon) :: qsat_w
198	REAL, DIMENSION(knon) :: dqsatdT_x
199	REAL, DIMENSION(knon) :: dqsatdT_w
200
201	REAL, DIMENSION(knon) :: T10_x
202	REAL, DIMENSION(knon) :: T10_w
203	REAL, DIMENSION(knon) :: phiT0_x
204	REAL, DIMENSION(knon) :: phiT0_w
205	REAL, DIMENSION(knon) :: phiQ0_x
206	REAL, DIMENSION(knon) :: phiQ0_w
207	REAL, DIMENSION(knon) :: Rn0_x
208	REAL, DIMENSION(knon) :: Rn0_w
209	REAL, DIMENSION(knon) :: Rp1_x
210	REAL, DIMENSION(knon) :: Rp1_w
211	REAL, DIMENSION(knon) :: Rps_x
212	REAL, DIMENSION(knon) :: Rps_w
213
214	REAL, DIMENSION(knon) :: HTphiT_x
215	REAL, DIMENSION(knon) :: HTphiT_w
216	REAL, DIMENSION(knon) :: HTphiQ_x
217	REAL, DIMENSION(knon) :: HTphiQ_w
218	REAL, DIMENSION(knon) :: HTRn_x
219	REAL, DIMENSION(knon) :: HTRn_w
220
221	REAL, DIMENSION(knon) :: HQphiT_x
222	REAL, DIMENSION(knon) :: HQphiT_w
223	REAL, DIMENSION(knon) :: HQphiQ_x
224	REAL, DIMENSION(knon) :: HQphiQ_w
225	REAL, DIMENSION(knon) :: HQRn_x
226	REAL, DIMENSION(knon) :: HQRn_w
227
228	REAL, DIMENSION(knon) :: HQphiT_b
229	REAL, DIMENSION(knon) :: dd_HQphiT
230	REAL, DIMENSION(knon) :: HQphiQ_b
231	REAL, DIMENSION(knon) :: dd_HQphiQ
232	REAL, DIMENSION(knon) :: HQRn_b
233	REAL, DIMENSION(knon) :: dd_HQRn
234
235	REAL, DIMENSION(knon) :: sigx
236
237	REAL, DIMENSION(knon) :: Ts, T1
238	!!! REAL, DIMENSION(knon) :: qsat, dqsat_dT
239	!!! REAL, DIMENSION(knon) :: phiT0
240
241	!!! REAL, DIMENSION(knon) :: Cp, Lv
242	REAL, DIMENSION(knon) :: tau, Inert
243
244	REAL :: dd_Kh
245	REAL :: zdelta, zcvm5, zcor
246	REAL :: qsat
247
248	INTEGER :: j
249
250
251	!----------------------------------------------------------------------------
252	! Reference state
253	! ---------------
254	! dqsat_dT_w = dqsat_dT(Ts0_w) dqsat_dT_x = dqsat_dT(Ts0_x)
255	! T10_w = (AT_w/Cp - Kech_T_w BT_w dtime Ts0_w)/(1 - Kech_T_w BT_w dtime)
256	! T10_x = (AT_x/Cp - Kech_T_x BT_x dtime Ts0_x)/(1 - Kech_T_x BT_x dtime)
257	! phiT0_w = Kech_T_pw (AT_w - Cp Ts0_w) phiT0_x = Kech_T_px (AT_x - Cp Ts0_x)
258	! phiQ0_w = Kech_Q_sw (beta AQ_w - qsatsrf0_w) phiQ0_x = Kech_Q_sx (beta AQ_x - qsatsrf0_x)
259	! Rn0_w = eps_1 Rsigma T10_w^4 - Rsigma Ts0_w^4 Rn0_x = eps_1 Rsigma T10_x^4 - Rsigma Ts0_x^4
260	! Rp1_w = 4 eps_1 Rsigma T10_w^3 Rp1_x = 4 eps_1 Rsigma T10_x^3
261	! Rps_w = 4 Rsigma Ts0_w^3 Rps_x = 4 Rsigma Ts0_x^3
262
263	! phiT0_b = sigw phiT0_w + sigx phiT0_x
264	! dphiT0 = phiT0_w - phiT0_x
265	! phiQ0_b = sigw phiQ0_w + sigx phiQ0_x
266	! dphiQ0 = phiQ0_w - phiQ0_x
267	! Rn0_b = sigw Rn0_w + sigx Rn0_x
268	dRn0 = Rn0_w - Rn0_x
269
270
271	!----------------------------------------------------------------------------
272	! Elementary enthalpy equations
273	! -----------------------------
274	! phiT_w = phiT0_w - HTphiT_w (Ts_w-Ts0_w) phiT_x = phiT0_x - HTphiT_x (Ts_x-Ts0_x)
275	! phiQ_w = phiQ0_w - HTphiQ_w (Ts_w-Ts0_w) phiQ_x = phiQ0_x - HTphiQ_x (Ts_x-Ts0_x)
276	! Rn_w = Rn0_w - HTRn_w (Ts_w-Ts0_w) Rn_x = Rn0_x - HTRn_x (Ts_x-Ts0_x)
277	! DFlux_DT coefficients
278	! ---------------------
279	! Heat flux equation
280	! HTphiT_w = Cp Kech_T_pw HTphiT_x = Cp Kech_T_px
281	! Moisture flux equation
282	! HTphiQ_w = beta Kech_Q_sw dqsat_dT_w HTphiQ_x = beta Kech_Q_sx dqsat_dT_x
283	! Radiation equation
284	! HTRn_w = Rp1_w Kech_T_pw BcoefT_w dtime + Rps_w HTRn_x = Rp1_x Kech_T_px BcoefT_x dtime + Rps_x
285
286	!----------------------------------------------------------------------------
287	! Elementary moisture equations
288	! -----------------------------
289	! beta Ts_w = beta Ts0_w + QQ_w (qsatsrf_w-qsatsrf0_w) beta Ts_x = beta Ts0_x + QQ_x (qsatsrf_x-qsatsrf0_x)
290	! beta phiT_w = beta phiT0_w - HQphiT_w (qsatsrf_w-qsatsrf0_w) beta phiQ_x = beta phiQ0_x - HTphiQ_x (qsatsrf_x-qsatsrf0_x)
291	! beta phiQ_w = beta phiQ0_w - HQphiQ_w (qsatsrf_w-qsatsrf0_w) beta phiQ_x = beta phiQ0_x - HTphiQ_x (qsatsrf_x-qsatsrf0_x)
292	! beta Rn_w = beta Rn0_w - HQRn_w (qsatsrf_w-qsatsrf0_w) beta Rn_x = beta Rn0_x - HTRn_x (qsatsrf_x-qsatsrf0_x)
293	! DFluxDQ coefficients
294	! ---------------------
295	! dqsat_dT equation
296	! QQ_w = 1. / dqsat_dT_w QQ_x = 1. / dqsat_dT_x
297	! Heat flux equation
298	! HQphiT_w = Cp Kech_T_pw QQ_w HQphiT_x = Cp Kech_T_px QQ_x
299	! Moisture flux equation
300	! HQphiQ_w = beta Kech_Q_sw HQphiQ_x = beta Kech_Q_sx
301	! Radiation equation
302	! HQRn_w = (Rp1_w Kech_T_pw BcoefT_w dtime + Rps_w) QQ_w
303	! HQRn_x = (Rp1_x Kech_T_px BcoefT_x dtime + Rps_x) QQ_x
304
305	!----------------------------------------------------------------------------
306	! Mean values and w-x differences
307	! -------------------------------
308	! HTphiT_b = sigw HTphiT_w + sigx HTphiT_x dd_HTphiT = HTphiT_w - HTphiT_x
309	! HTphiQ_b = sigw HTphiQ_w + sigx HTphiQ_x dd_HTphiQ = HTphiQ_w - HTphiQ_x
310	! HTRn_b = sigw HTRn_w + sigx HTRn_x dd_HTRn = HTRn_w - HTRn_x
311
312	! QQ_b = sigw QQ_w + sigx QQ_x dd_QQ = QQ_w - QQ_x
313	! HQphiT_b = sigw HQphiT_w + sigx HQphiT_x dd_HQphiT = HQphiT_w - HQphiT_x
314	! HQphiQ_b = sigw HQphiQ_w + sigx HQphiQ_x dd_HQphiQ = HQphiQ_w - HQphiQ_x
315	! HQRn_b = sigw HQRn_w + sigx HQRn_x dd_HQRn = HQRn_w - HQRn_x
316
317	!----------------------------------------------------------------------------
318	! Equations
319	! ---------
320	! (1 - g_T) dTs = dTs_ins + Gamma_phiT phiT
321	! (1 - g_Q) dqsatsrf = dqsatsrf_ins + Gamma_phiQ phiQ
322
323	! Feedback Gains
324	! --------------
325	! g_T = - (sqrt(tau)/I) [ HTphiT_b + Lv HTphiQ_b + HTRn_b + &
326	! (dd_HTphiT + Lv dd_HTphiQ + dd_HTRn) (sigx - sigw - sigw sigx dd_HTphiT/HTphiT_b) ]
327	! g_Q = - (sqrt(tau)/(I QQ_b)) ( HQphiT_b + Lv HQphiQ_b + HQRn_b ) - &
328	! (sigx - sigw - sigw sigx dd_HQphiQ/HQphiQ_b) &
329	! [ dd_QQ/QQ_b + (sqrt(tau)/(I QQ_b))(dd_HQphiT + Lv dd_HQphiQ + dd_HQRn) ]
330
331	! Ts, qs Coupling coefficients /
332	! ----------------------------
333	! Gamma_phiT = (sqrt(tau)/(I HTphiT_b)) (dd_HTphiT + Lv dd_HTphiQ + dd_HTRn)
334	! Gamma_phiQ = (1/(HQphiQ_b QQ_b)) [ dd_QQ + (sqrt(tau)/(I )) (dd_HQphiT + Lv dd_HQphiQ + dd_HQRn) ]
335
336	! Insensitive changes
337	! -------------------
338	! dTs_ins = (1 - g_T) dTs0 - Gamma_phiT phiT0_b
339	! dqsatsrf_ins = (1 - g_Q) dqsatsrf0 - Gamma_phiQ phiQ0_b
340
341	!----------------------------------------------------------------------------
342	! Effective coefficients Acoef and Bcoef
343	! --------------------------------------
344	! Equations
345	! ---------
346	! Cp Ta = AcoefT + BcoefT phiT dtime
347	! qa = AcoefQ + BcoefQ phiQ dtime
348	! Coefficients
349	! ------------
350	! AcoefT = AcoefT0 - sigw sigx (dd_KTp/Kech_Tp) Cp dTs_ins/(1 - g_T)
351	! BcoefT = BcoefT0 - sigw sigx (dd_KTp/Kech_Tp) Cp Gamma_phiT/(1 - g_T)/dtime
352
353	! AcoefQ = AcoefQ0 - sigw sigx (dd_KQp/Kech_Qp) dqs_ins/(1 - g_Q)
354	! BcoefQ = BcoefQ0 - sigw sigx (dd_KQp/Kech_Qp) Gamma_phiq/(1 - g_Q)/dtime
355
356	!==============================================================================
357
358
359	! Parameters
360	! ----------
361	Inert(1:knon) = 2000.
362	tau(1:knon) = sqrt(sigw(1:knon)/max(rpiwdens(1:knon)wcstar(1:knon)**2 , &
363	sigw(1:knon)*1.e-12,smallestreal))
364	sigx(1:knon) = 1.-sigw(1:knon)
365	!! Compute Cp, Lv, qsat, dqsat_dT.
366	! C_p(1:knon) = RCpd
367	! L_v(1:knon) = RLvtt
368
369	! print *,' AAAA wx_pbl_dTs, C_p(j), qsat0(j), Ts0(j) : ', C_p(:), qsat0(:), Ts0(:)
370
371
372	T10_x(1:knon) = (AT_x(1:knon)/C_p(1:knon) - Kech_h_x(1:knon)BT_x(1:knon)dtime*Ts0_x(1:knon))/ &
373	(1 - Kech_h_x(1:knon)BT_x(1:knon)dtime)
374	T10_w(1:knon) = (AT_w(1:knon)/C_p(1:knon) - Kech_h_w(1:knon)BT_w(1:knon)dtime*Ts0_w(1:knon))/ &
375	(1 - Kech_h_w(1:knon)BT_w(1:knon)dtime)
376
377	phiT0_x(1:knon) = Kech_T_px(1:knon)(AT_x(1:knon) - C_p(1:knon)Ts0_x(1:knon))
378	phiT0_w(1:knon) = Kech_T_pw(1:knon)(AT_w(1:knon) - C_p(1:knon)Ts0_w(1:knon))
379
380	phiQ0_x(1:knon) = Kech_Q_sx(1:knon)(beta(1:knon)AQ_x(1:knon) - qsatsrf0_x(1:knon))
381	phiQ0_w(1:knon) = Kech_Q_sw(1:knon)(beta(1:knon)AQ_w(1:knon) - qsatsrf0_w(1:knon))
382
383	Rn0_x(1:knon) = eps_1RsigmaT10_x(1:knon)*4 - RsigmaTs0_x(1:knon)**4
384	Rn0_w(1:knon) = eps_1RsigmaT10_w(1:knon)*4 - RsigmaTs0_w(1:knon)**4
385
386	Rp1_x(1:knon) = 4eps_1RsigmaT10_x(1:knon)*3
387	Rp1_w(1:knon) = 4eps_1RsigmaT10_w(1:knon)*3
388
389	Rps_x(1:knon) = 4RsigmaTs0_x(1:knon)**3
390	Rps_w(1:knon) = 4RsigmaTs0_w(1:knon)**3
391
392	! DFlux_DT coefficients
393	! ---------------------
394	! Heat flux equation
395	HTphiT_x(1:knon) = C_p(1:knon)*Kech_T_px(1:knon)
396	HTphiT_w(1:knon) = C_p(1:knon)*Kech_T_pw(1:knon)
397	! Moisture flux equation
398	HTphiQ_x(1:knon) = beta(1:knon)Kech_Q_sx(1:knon)dqsatdT0_x(1:knon)
399	HTphiQ_w(1:knon) = beta(1:knon)Kech_Q_sw(1:knon)dqsatdT0_w(1:knon)
400	! Radiation equation
401	HTRn_x(1:knon) = Rp1_x(1:knon)Kech_T_px(1:knon)BT_x(1:knon)*dtime + Rps_x(1:knon)
402	HTRn_w(1:knon) = Rp1_w(1:knon)Kech_T_pw(1:knon)BT_w(1:knon)*dtime + Rps_w(1:knon)
403
404	! DFluxDQ coefficients
405	! ---------------------
406	! Heat flux equation
407	HQphiT_x(1:knon) = C_p(1:knon)Kech_T_px(1:knon)QQ_x(1:knon)
408	HQphiT_w(1:knon) = C_p(1:knon)Kech_T_pw(1:knon)QQ_w(1:knon)
409	! Moisture flux equation
410	HQphiQ_x(1:knon) = beta(1:knon)*Kech_Q_sx(1:knon)
411	HQphiQ_w(1:knon) = beta(1:knon)*Kech_Q_sw(1:knon)
412	! Radiation equation
413	HQRn_x(1:knon) = (Rp1_x(1:knon)Kech_T_px(1:knon)BT_x(1:knon)dtime + Rps_x(1:knon))QQ_x(1:knon)
414	HQRn_w(1:knon) = (Rp1_w(1:knon)Kech_T_pw(1:knon)BT_w(1:knon)dtime + Rps_w(1:knon))QQ_w(1:knon)
415
416	! Mean values and w-x differences
417	! -------------------------------
418	phiT0_b(1:knon) = sigw(1:knon)phiT0_w(1:knon) + sigx(1:knon)phiT0_x(1:knon)
419	phiQ0_b(1:knon) = sigw(1:knon)phiQ0_w(1:knon) + sigx(1:knon)phiQ0_x(1:knon)
420	Rn0_b(1:knon) = sigw(1:knon)Rn0_w(1:knon) + sigx(1:knon)Rn0_x(1:knon)
421
422	dphiT0(1:knon) = phiT0_w(1:knon) - phiT0_x(1:knon)
423	dphiQ0(1:knon) = phiQ0_w(1:knon) - phiQ0_x(1:knon)
424	dRn0(1:knon) = Rn0_w(1:knon) - Rn0_x(1:knon)
425
426	HTphiT_b(1:knon) = sigw(1:knon)HTphiT_w(1:knon) + sigx(1:knon)HTphiT_x(1:knon)
427	dd_HTphiT(1:knon) = HTphiT_w(1:knon) - HTphiT_x(1:knon)
428
429	HTphiQ_b(1:knon) = sigw(1:knon)HTphiQ_w(1:knon) + sigx(1:knon)HTphiQ_x(1:knon)
430	dd_HTphiQ(1:knon) = HTphiQ_w(1:knon) - HTphiQ_x(1:knon)
431
432	HTRn_b(1:knon) = sigw(1:knon)HTRn_w(1:knon) + sigx(1:knon)HTRn_x(1:knon)
433	dd_HTRn(1:knon) = HTRn_w(1:knon) - HTRn_x(1:knon)
434
435	HQphiT_b(1:knon) = sigw(1:knon)HQphiT_w(1:knon) + sigx(1:knon)HQphiT_x(1:knon)
436	dd_HQphiT(1:knon) = HQphiT_w(1:knon) - HQphiT_x(1:knon)
437
438	HQphiQ_b(1:knon) = sigw(1:knon)HQphiQ_w(1:knon) + sigx(1:knon)HQphiQ_x(1:knon)
439	dd_HQphiQ(1:knon) = HQphiQ_w - HQphiQ_x(1:knon)
440
441	HQRn_b(1:knon) = sigw(1:knon)HQRn_w(1:knon) + sigx(1:knon)HQRn_x(1:knon)
442	dd_HQRn(1:knon) = HQRn_w(1:knon) - HQRn_x(1:knon)
443
444	! Feedback Gains
445	! --------------
446	g_T(1:knon) = - (sqrt(tau(1:knon))/Inert(1:knon)) &
447	* (HTphiT_b(1:knon) + L_v(1:knon)*HTphiQ_b(1:knon) + HTRn_b(1:knon) &
448	+ (dd_HTphiT(1:knon) + L_v(1:knon)*dd_HTphiQ(1:knon) + dd_HTRn(1:knon)) &
449	* (sigx(1:knon) - sigw(1:knon) - sigw(1:knon)sigx(1:knon)dd_HTphiT(1:knon)/HTphiT_b(1:knon)) )
450
451	!!!! DO j = 1,knon
452	!!!! IF (mod(j,20) .EQ.0) THEN
453	!!!! print *, ' j dd_QQ QQ_b dd_HQphiQ dd_HQphiT dd_HQRn HQphiQ_b HQphiT_b HQRn_b '
454	!!!! ENDIF
455	!!!! print 1789, j, dd_QQ(j), QQ_b(j), dd_HQphiQ(j), dd_HQphiT(j), dd_HQRn(j), HQphiQ_b(j), HQphiT_b(j), HQRn_b(j)
456	!!!! 1789 FORMAT( I4, 10(1X,E10.2))
457	!!!! ENDDO
458	g_Q(1:knon) = - (dd_QQ(1:knon)/QQ_b(1:knon)) * &
459	(sigx(1:knon)-sigw(1:knon)-sigw(1:knon)sigx(1:knon)dd_KQs(1:knon)/Kech_Qs(1:knon)) &
460	- sqrt(tau(1:knon))/(Inert(1:knon)QQ_b(1:knon)) &
461	( HQphiT_b(1:knon) + L_v(1:knon)*HQphiQ_b(1:knon) + HQRn_b(1:knon) + &
462	(sigx(1:knon) - sigw(1:knon) - sigw(1:knon)sigx(1:knon)dd_KQs(1:knon)/Kech_Qs(1:knon)) * &
463	(dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
464
465	!! g_Q(1:knon) = - (dd_QQ(1:knon)/QQ_b(1:knon)) * &
466	!! (sigx(1:knon)-sigw(1:knon)-sigw(1:knon)sigx(1:knon)dd_HQphiQ(1:knon)/HQphiQ_b(1:knon)) &
467	!! - sqrt(tau(1:knon))/(Inert(1:knon)QQ_b(1:knon)) &
468	!! ( HQphiT_b(1:knon) + L_v(1:knon)*HQphiQ_b(1:knon) + HQRn_b(1:knon) + &
469	!! (sigx(1:knon) - sigw(1:knon) - sigw(1:knon)sigx(1:knon)dd_HQphiQ(1:knon)/HQphiQ_b(1:knon)) * &
470	!! (dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
471
472	!! g_Q(1:knon) = - (sqrt(tau(1:knon))/(Inert(1:knon)QQ_b(1:knon))) &
473	!! ( HQphiT_b(1:knon) + L_v(1:knon)*HQphiQ_b(1:knon) + HQRn_b(1:knon) ) &
474	!! - (sigx(1:knon) - sigw(1:knon) - sigw(1:knon)sigx(1:knon)dd_HQphiQ(1:knon)/HQphiQ_b(1:knon)) * &
475	!! ( dd_QQ(1:knon)/QQ_b(1:knon) &
476	!! + (sqrt(tau(1:knon))/(Inert(1:knon)*QQ_b(1:knon))) &
477	!! * (dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
478
479	! Ts, qs Coupling coefficients /
480	! ----------------------------
481	Gamma_phiT(1:knon) = (sqrt(tau(1:knon))/(Inert(1:knon)*HTphiT_b(1:knon))) &
482	* (dd_HTphiT(1:knon) + L_v(1:knon)*dd_HTphiQ(1:knon) + dd_HTRn(1:knon))
483
484	Gamma_phiQ(1:knon) = (1./(Kech_Qs(1:knon)QQ_b(1:knon))) &
485	( dd_QQ(1:knon) &
486	+ (sqrt(tau(1:knon))/(Inert(1:knon))) * &
487	(dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
488
489	!! Gamma_phiQ(1:knon) = (beta(1:knon)/(HQphiQ_b(1:knon)QQ_b(1:knon))) &
490	!! ( dd_QQ(1:knon) &
491	!! + (sqrt(tau(1:knon))/(Inert(1:knon))) * &
492	!! (dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
493
494	!! Gamma_phiQ(1:knon) = (1/(HQphiQ_b(1:knon)*QQ_b(1:knon))) &
495	!! * ( dd_QQ(1:knon) &
496	!! + (sqrt(tau(1:knon))/(Inert(1:knon))) &
497	!! * (dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
498
499	! Insensitive changes
500	! -------------------
501	dTs_ins(1:knon) = (sqrt(tau(1:knon))/Inert(1:knon))* &
502	(dphiT0(1:knon) + L_v(1:knon)*dphiQ0(1:knon) + dRn0(1:knon))
503
504	dqsatsrf_ins(1:knon) = (beta(1:knon)/QQ_b(1:knon))*dTs_ins(1:knon)
505
506	IF (prt_level >= 10) THEN
507	print *,'wx_pbl_merge, tau ', tau
508	print *,'wx_pbl_merge, AcoefT0 ', AcoefT0
509	print *,'wx_pbl_merge, AcoefQ0 ', AcoefQ0
510	print *,'wx_pbl_merge, BcoefT0 ', BcoefT0
511	print *,'wx_pbl_merge, BcoefQ0 ', BcoefQ0
512	print *,'wx_pbl_merge, qsat0_w, qsat0_x ', (qsat0_w(j), qsat0_x(j),j=1,knon)
513	print *,'wx_pbl_merge, dqsatdT0_w, dqsatdT0_x ', (dqsatdT0_w(j), dqsatdT0_x(j),j=1,knon)
514	ENDIF
515
516	!----------------------------------------------------------------------------
517
518	!------------------------------------------------------------------------------
519
520	! Effective coefficients Acoef and Bcoef
521	! --------------------------------------
522	DO j = 1,knon
523	AcoefT(j) = AcoefT0(j) - sigw(j)sigx(j)(dd_KTp(j)/Kech_Tp(j))C_p(j) &
524	(dTs0(j) + (dTs_ins(j)-dTs0(j)-Gamma_phiT(j)*phiT0_b(j))/(1. - g_T(j)))
525	BcoefT(j) = BcoefT0(j) - sigw(j)sigx(j)(dd_KTp(j)/Kech_Tp(j))C_p(j)Gamma_phiT(j)/(1. - g_T(j))/dtime
526
527	AcoefQ(j) = AcoefQ0(j) - sigw(j)sigx(j)(dd_KQs(j)/Kech_Qs(j))* &
528	(dqsatsrf0(j) + (dqsatsrf_ins(j)-(beta(j)/QQ_b(j))dTs0(j)-Gamma_phiQ(j)phiQ0_b(j))/(1 - g_Q(j)))/ &
529	max(beta(j),1.e-4)
530	BcoefQ(j) = BcoefQ0(j) - sigw(j)sigx(j)(dd_KQs(j)/Kech_Qs(j))*Gamma_phiQ(j)/(1 - g_Q(j))/ &
531	(max(beta(j),1.e-4)*dtime)
532	!! AcoefQ(j) = AcoefQ0(j) - sigw(j)sigx(j)(dd_KQs(j)/Kech_Qs(j))* &
533	!! (dqsatsrf0(j) + (dqsatsrf_ins(j)-(beta(j)/QQ_b(j))dTs0(j)-Gamma_phiQ(j)phiQ0_b(j))/(1 - g_Q(j)))/ &
534	!! beta(j)
535	!! BcoefQ(j) = BcoefQ0(j) - sigw(j)sigx(j)(dd_KQs(j)/Kech_Qs(j))Gamma_phiQ(j)/(1 - g_Q(j))/(beta(j)dtime)
536	ENDDO ! j = 1,knon
537
538	IF (prt_level >= 10) THEN
539	print *,'wx_pbl_dts AAAA BcoefQ, BcoefQ0, sigw ', &
540	BcoefQ, BcoefQ0, sigw
541	print *,'wx_pbl_dts_merge, dTs_ins ', dTs_ins
542	print *,'wx_pbl_dts_merge, dqs_ins ', dqsatsrf_ins
543	ENDIF
544
545
546
547	END SUBROUTINE wx_pbl_dts_merge
548
549	SUBROUTINE wx_pbl_split(knon, nsrf, dtime, sigw, beta, iflag_split, &
550	g_T, g_Q, &
551	Gamma_phiT, Gamma_phiQ, &
552	dTs_ins, dqsatsrf_ins, &
553	phiT, phiQ, phiU, phiV, &
554	!!!! HTRn_b, dd_HTRn, HTphiT_b, dd_HTphiT, &
555	phiQ0_b, phiT0_b, &
556	phiT_x, phiT_w, &
557	phiQ_x, phiQ_w, &
558	phiU_x, phiU_w, &
559	phiV_x, phiV_w, &
560	philat_x, philat_w, &
561	!!!! Rn_b, dRn, &
562	dqsatsrf, &
563	dTs, delta_qsurf &
564	)
565
566	USE wx_pbl_var_mod
567
568	USE lmdz_print_control, ONLY: prt_level,lunout
569	USE indice_sol_mod, ONLY: is_oce
570
571	INCLUDE "YOMCST.h"
572
573	INTEGER, INTENT(IN) :: knon ! number of grid cells
574	INTEGER, INTENT(IN) :: nsrf ! surface type
575	REAL, INTENT(IN) :: dtime ! time step size (s)
576	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pools fractional area
577	REAL, DIMENSION(knon), INTENT(IN) :: beta ! aridity factor
578	INTEGER, INTENT(IN) :: iflag_split
579	REAL, DIMENSION(knon), INTENT(IN) :: g_T, g_Q
580	REAL, DIMENSION(knon), INTENT(IN) :: Gamma_phiT, Gamma_phiQ
581	REAL, DIMENSION(knon), INTENT(IN) :: dTs_ins, dqsatsrf_ins
582	REAL, DIMENSION(knon), INTENT(IN) :: phiT, phiQ, phiU, phiV
583	REAL, DIMENSION(knon), INTENT(IN) :: phiQ0_b, phiT0_b
584
585	REAL, DIMENSION(knon), INTENT(OUT) :: phiT_x, phiT_w
586	REAL, DIMENSION(knon), INTENT(OUT) :: phiQ_x, phiQ_w
587	REAL, DIMENSION(knon), INTENT(OUT) :: phiU_x, phiU_w
588	REAL, DIMENSION(knon), INTENT(OUT) :: phiV_x, phiV_w
589	REAL, DIMENSION(knon), INTENT(OUT) :: philat_x, philat_w
590	REAL, DIMENSION(knon), INTENT(OUT) :: dqsatsrf ! beta delta(qsat(Ts))
591	REAL, DIMENSION(knon), INTENT(OUT) :: dTs ! Temperature difference at surface
592	REAL, DIMENSION(knon), INTENT(OUT) :: delta_qsurf
593
594	!! Local variables
595	INTEGER :: j
596	REAL, DIMENSION(knon) :: dphiT, dphiQ, dphiU, dphiV
597	REAL, DIMENSION(knon) :: q1_x, q1_w
598
599	REAL, DIMENSION(knon) :: sigx ! fractional area of (x) region
600
601	!----------------------------------------------------------------------------
602	! Equations
603	! ---------
604	!!!!!! (1 - g_T) dTs = dTs_ins + Gamma_phiT phiT
605	!!!!!! (1 - g_Q) dqsatsrf = dqsatsrf_ins + Gamma_phiQ phiQ
606	!!!!!! dphiT = (dd_KTp/KTp) phiT + ( dd_AT - C_p dTs)*KxKwTp/KTp
607	!!!!!! dphiQ = (dd_KQs/KQs) phiQ + (beta dd_AQ - dqsatsrf )*KxKwQs/KQs
608	!!!!!! dphiU = (dd_KUp/KUp) phiU + ( dd_AU )*KxKwUp/KUp
609	!!!!!! dphiV = (dd_KVp/KVp) phiV + ( dd_AV )*KxKwVp/KVp
610
611	! (1 - g_T) (dTs-dTs0) = dTs_ins-dTs0 + Gamma_phiT (phiT-phiT0)
612	! (1 - g_Q) dqsatsrf = dqsatsrf_ins + Gamma_phiQ phiQ
613	! dphiT = (dd_KTp/KTp) phiT + ( dd_AT - C_p dTs)*KxKwTp/KTp
614	! dphiQ = (dd_KQs/KQs) phiQ + (beta dd_AQ - dqsatsrf )*KxKwQs/KQs
615	! dphiU = (dd_KUp/KUp) phiU + ( dd_AU )*KxKwUp/KUp
616	! dphiV = (dd_KVp/KVp) phiV + ( dd_AV )*KxKwVp/KVp
617
618	!!
619	sigx(:) = 1.-sigw(:)
620
621	! print *,' AAAA wx_pbl_split, C_p(j), qsat0(j), Ts0(j) : ', C_p(:), qsat0(:), Ts0(:)
622
623	IF (iflag_split == 2 .AND. nsrf /= is_oce) THEN
624
625	! Delta_tsurf and Delta_qsurf computation
626	! -----------------------------------------
627	IF (prt_level >=10 ) THEN
628	print *,' wx_pbl_split, dTs_ins, dTs0 , Gamma_phiT, g_T ', dTs_ins, dTs0, Gamma_phiT, g_T
629	print *,' wx_pbl_split, dqsatsrf_ins, Gamma_phiQ, g_q ', dqsatsrf_ins, Gamma_phiQ, g_q
630	ENDIF
631
632	DO j = 1,knon
633	dTs(j) = dTs0(j) + (dTs_ins(j) - dTs0(j) + Gamma_phiT(j)*(phiT(j)-phiT0_b(j)) )/(1 - g_T(j))
634	dqsatsrf(j) = dqsatsrf0(j) + (dqsatsrf_ins(j) - (beta(j)/QQ_b(j))*dTs0(j) + &
635	Gamma_phiQ(j)*(phiQ(j)-phiQ0_b(j)) )/(1 - g_Q(j))
636	ENDDO ! j = 1,knon
637
638	IF (prt_level >=10 ) THEN
639	print *,' wx_pbl_split, dqsatsrf0, QQ_b ', dqsatsrf0, QQ_b
640	print *,' wx_pbl_split, phiT0_b, phiT, dTs ', phiT0_b, phiT, dTs
641	print *,' wx_pbl_split, phiQ0_b, phiQ, dqsatsrf ', phiQ0_b, phiQ, dqsatsrf
642	ENDIF
643	ELSE
644	dTs(:) = 0.
645	dqsatsrf(:) = 0.
646	ENDIF ! (iflag_split .EQ. 2 .AND. nsrf .NE. is_oce)
647
648	DO j = 1,knon
649	dphiT(j) = (phiT(j)dd_KTp(j) + ( dd_AT(j) - C_p(j)dTs(j))*KxKwTp(j))/Kech_Tp(j)
650	dphiQ(j) = (phiQ(j)dd_KQs(j) + (beta(j)dd_AQ(j) - dqsatsrf(j))*KxKwQs(j))/Kech_Qs(j)
651	dphiU(j) = (phiU(j)dd_KUp(j) + dd_AU(j) KxKwUp(j))/Kech_Up(j)
652	dphiV(j) = (phiV(j)dd_KVp(j) + dd_AV(j) KxKwVp(j))/Kech_Vp(j)
653
654	phiT_x(j)=phiT(j) - sigw(j)*dphiT(j)
655	phiT_w(j)=phiT(j) + sigx(j)*dphiT(j)
656	phiQ_x(j)=phiQ(j) - sigw(j)*dphiQ(j)
657	phiQ_w(j)=phiQ(j) + sigx(j)*dphiQ(j)
658	phiU_x(j)=phiU(j) - sigw(j)*dphiU(j)
659	phiU_w(j)=phiU(j) + sigx(j)*dphiU(j)
660	phiV_x(j)=phiV(j) - sigw(j)*dphiV(j)
661	phiV_w(j)=phiV(j) + sigx(j)*dphiV(j)
662
663	philat_x(j)=phiQ_x(j)*RLVTT
664	philat_w(j)=phiQ_w(j)*RLVTT
665	ENDDO ! j = 1,knon
666
667	DO j = 1,knon
668	q1_x(j) = AQ_x(j) + BQ_x(j)phiQ_x(j)dtime
669	q1_w(j) = AQ_w(j) + BQ_w(j)phiQ_w(j)dtime
670	ENDDO ! j = 1,knon
671	DO j = 1,knon
672	delta_qsurf(j) = (1.-beta(j))*(q1_w(j) - q1_x(j)) + dqsatsrf(j)
673	ENDDO ! j = 1,knon
674
675	!! Do j = 1,knon
676	!! print *,'XXXsplit : j, q1_x(j), AQ_x(j), BQ_x(j), phiQ_x(j) ', j, q1_x(j), AQ_x(j), BQ_x(j), phiQ_x(j)
677	!! print *,'XXXsplit : j, q1_w(j), AQ_w(j), BQ_w(j), phiQ_w(j) ', j, q1_w(j), AQ_w(j), BQ_w(j), phiQ_w(j)
678	!! ENDDO
679
680	IF (prt_level >=10 ) THEN
681	print *,' wx_pbl_split, phiT, dphiT, dTs ', phiT, dphiT, dTs
682	print *,' wx_pbl_split, phiQ, dphiQ, dqsatsrf ', phiQ, dphiQ, dqsatsrf
683	ENDIF
684
685	IF (prt_level >=10 ) THEN
686	!! print *,' wx_pbl_split, verif dqsatsrf = beta dqsatdT0 dTs '
687	!! print ,' wx_pbl_split, dqsatsrf, dqsatdT0dTs ', dqsatsrf, dqsatdT0*dTs
688	ENDIF
689
690	!! IF (knon .NE. 0) THEN
691	!! call iophys_ecrit('sigw', 1,'sigw', '.',sigw)
692	!! call iophys_ecrit('phit', 1,'phit', 'W/m2',phit)
693	!! call iophys_ecrit('phit_w', 1,'phit_w', 'W/m2',phit_w)
694	!! call iophys_ecrit('phit_x', 1,'phit_x', 'W/m2',phit_x)
695	!! call iophys_ecrit('phiq', 1,'phiq', 'kg/m2/s',phiq)
696	!! call iophys_ecrit('phiq_w', 1,'phiq_w', 'kg/m2/s',phiq_w)
697	!! call iophys_ecrit('phiq_x', 1,'phiq_x', 'kg/m2/s',phiq_x)
698	!! call iophys_ecrit('q1_w', 1,'q1_w', '.',q1_w)
699	!! call iophys_ecrit('q1_x', 1,'q1_x', '.',q1_x)
700	!! ENDIF ! (knon .NE. 0)
701
702
703
704	END SUBROUTINE wx_pbl_split
705
706	SUBROUTINE wx_pbl_check( knon, dtime, ypplay, ypaprs, &
707	sigw, beta, iflag_split, &
708	Ts0_b9, dTs09, &
709	qs_b9, Ts_b9, & ! yqsurf, Tsurf_new
710	dTs9, dqsatsrf9, &
711	AcoefT_x, AcoefT_w, &
712	BcoefT_x, BcoefT_w, &
713	AcoefT0, AcoefQ0, BcoefT0, BcoefQ0, &
714	AcoefT, AcoefQ, BcoefT, BcoefQ, &
715	phiT_b9, phiQ_b9, &
716	phiT_x9, phiT_w9, &
717	phiQ_x9, phiQ_w9 &
718	)
719
720	USE wx_pbl_var_mod
721
722	USE lmdz_print_control, ONLY: prt_level,lunout
723
724	INCLUDE "YOMCST.h"
725	INCLUDE "FCTTRE.h"
726	INCLUDE "YOETHF.h"
727
728	INTEGER, INTENT(IN) :: knon ! number of grid cells
729	REAL, INTENT(IN) :: dtime ! time step size (s)
730	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypplay ! mid-layer pressure (Pa)
731	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypaprs ! pressure at layer interfaces (pa)
732	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pools fractional area
733	REAL, DIMENSION(knon), INTENT(IN) :: beta ! aridity factor
734	INTEGER, INTENT(IN) :: iflag_split
735	REAL, DIMENSION(knon), INTENT(IN) :: Ts0_b9, dTs09
736	REAL, DIMENSION(knon), INTENT(IN) :: qs_b9, Ts_b9 ! yqsurf, Tsurf_new
737	REAL, DIMENSION(knon), INTENT(IN) :: dTs9, dqsatsrf9
738	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT_x, AcoefT_w
739	REAL, DIMENSION(knon), INTENT(IN) :: BcoefT_x, BcoefT_w
740	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT0, AcoefQ0, BcoefT0, BcoefQ0
741
742	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT, AcoefQ, BcoefT, BcoefQ
743	REAL, DIMENSION(knon), INTENT(IN) :: phiT_b9, phiQ_b9
744	REAL, DIMENSION(knon), INTENT(IN) :: phiT_x9, phiT_w9
745	REAL, DIMENSION(knon), INTENT(IN) :: phiQ_x9, phiQ_w9
746
747	!! Local variables
748	INTEGER :: j
749	REAL, DIMENSION(knon) :: sigx ! fractional area of (x) region
750	REAL, DIMENSION(knon) :: AcoefT_b, AcoefQ_b ! mean values of AcoefT and AcoefQ
751	REAL :: zzt, zzq, zzqsat
752	REAL :: zdelta, zcvm5, zcor, qsat
753	REAL, DIMENSION(knon) :: qsat_w, qsat_x
754	REAL, DIMENSION(knon) :: dqsatdT_w, dqsatdT_x
755	REAL, DIMENSION(knon) :: qsat_bs ! qsat(Ts_b)
756	REAL, DIMENSION(knon) :: qsat01, dqsatdT01
757	REAL, DIMENSION(knon) :: Ts_x, Ts_w, qs_x, qs_w
758	REAL, DIMENSION(knon) :: T1_x, T1_w, q1_x, q1_w
759	REAL, DIMENSION(knon) :: Rn_x, Rn_w
760	REAL, DIMENSION(knon) :: phiQ0_x, phiQ0_w
761	REAL, DIMENSION(knon) :: Ta, qa
762	REAL, DIMENSION(knon) :: qsatsrf_w, qsatsrf_x, qsatsrf_b
763	REAL, DIMENSION(knon) :: qsurf_w, qsurf_x
764	REAL :: dphiT, dphiQ
765	REAL :: dqsatsrf1
766	REAL :: phiT_w1, phiT_w2
767	REAL :: phiT_x1, phiT_x2
768	REAL :: phiQ_w1, phiQ_w2, phiQ_w3
769	REAL :: phiQ_x1, phiQ_x2, phiQ_x3
770	REAL :: phiT_b1, phiQ_b1
771	REAL :: Kech_Q_sw1, Kech_Q_sx1
772	REAL :: evap_pot
773
774	!----------------------------------------------------------------------------
775	! Equations to be checked:
776	! -----------------------
777	! Input : Ts0_b, dTs0, Ts_b, dTs, qsatsrf_b, dqsatsrf,
778	! phiT_b, phiQ_b, phiT_w, phiT_x, phiQ_w, phiQ_x,
779
780	! AcoefT, AcoefQ, AcoefT_w, AcoefQ_w, AcoefT_x, AcoefQ_x,
781	! BcoefT, BcoefQ, BcoefT_w, BcoefQ_w, BcoefT_x, BcoefQ_x
782
783	! C_p T1_w = AcoefT_w + BcoefT_w phiT_w Delta t C_p T1_x = AcoefT_x + BcoefT_x phiT_x Delta t
784	! q1_w = AQ_w + BQ_w phiQ_w Delta t q1_x = AQ_x + BQ_x phiQ_x Delta t
785	! qsatsrf_w = beta qsat(Ts_w) qsatsrf_x = beta qsat(Ts_x)
786	! qsurf_w = (1-beta) q1_w + qsatsrf_w qsurf_x = (1-beta) q1_x + qsatsrf_x
787	! phiT_w = Kech_h_w C_p ( T1_w - Ts_w) phiT_x = Kech_h_x C_p ( T1_x - Ts_x)
788	! phiT_w = Kech_T_pw ( AcoefT_w - C_p Ts_w) phiT_x = Kech_T_px ( AcoefT_x - C_p Ts_x)
789	! phiq_w = Kech_h_w ( beta q1_w - qsatsrf_w) phiq_x = Kech_h_x ( beta q1_x - qsatsrf_x))
790	! phiq_w = Kech_Q_sw (beta AQ_w -qsatsrf_w) phiq_x = Kech_Q_sx (beta AQ_x -qsatsrf_x)
791	! phiq_w = Kech_h_w (q1_w - qsurf_w) phiq_x = Kech_h_x (q1_x - qsurf_x)
792	! phiT_b = sigw phiT_w + sigx phiT_x dphiT = phiT_w - phiT_x
793	! phiQ_b = sigw phiQ_w + sigx phiQ_x dphiQ = phiQ_w - phiQ_x
794	! Ts_b = sigw Ts_w + sigx Ts_x dTs = Ts_w - Ts_x
795	! qsatsrf_b = sigw qsatsrf_w + sigx qsatsrf_x
796	! C_p Ta = AcoefT + BcoefT phiT_b Delta t
797	! qa = AcoefQ + BcoefQ phiQ_b Delta t
798	! phiT_b = Kech_h C_p (Ta - Ts_b)
799	! phiQ_b = beta Kech_h (qa - qsatsrf_b)
800	! dTs = sqrt(tau)/I (dphit + L_v dphiq + dR)
801
802	!----------------------------------------------------------------------------
803
804	!!
805	sigx(:) = 1.-sigw(:)
806	AcoefT_b(1:knon) = AcoefT_x(1:knon) + sigw(1:knon)*dd_AT(1:knon)
807	AcoefQ_b(1:knon) = AQ_x(1:knon) + sigw(1:knon)*dd_AQ(1:knon)
808
809	! Compute the three qsat and dqsatdTs
810	! ---------------------------------------------
811	!! C_p(1:knon) = RCpd
812	!! L_v(1:knon) = RLvtt
813	IF (prt_level >=10 ) THEN
814	print *,' AAAA wx_pbl_check, C_p(j), qsat0(j), Ts0(j) : ', C_p(:), qsat0(:), Ts0(:)
815	ENDIF ! (prt_level >=10 )
816
817	DO j = 1, knon
818	zdelta = MAX(0.,SIGN(1.,RTT-Ts0_b9(j)))
819	zcvm5 = R5LES(1.-zdelta) + R5IESzdelta
820	qsat = R2ES*FOEEW(Ts0_b9(j),zdelta)/ypaprs(j,1)
821	qsat = MIN(0.5,qsat)
822	zcor = 1./(1.-RETV*qsat)
823	qsat01(j) = fqsatqsatzcor
824	!! dqsatdT0(j) = FOEDE(Ts0_b(j),zdelta,zcvm5,qsat0(j),zcor)/RLVTT ! jyg 20210116
825	!! dqsatdT0(j) = (RLvtt(1.-zdelta)+RLSTTzdelta)qsat0(j)/(RvTs0_b(j)*Ts0_b(j))
826	dqsatdT01(j) = fqsat*FOEDE(Ts0_b9(j),zdelta,zcvm5,qsat01(j),zcor)
827	ENDDO
828
829	!--------------------------------------------------------------------------------------------------
830	IF (prt_level >=10 ) THEN
831
832	DO j = 1, knon
833
834	print *,'wx_pbl_check: Kech_h, Kech_q ', Kech_h(j), Kech_q(j)
835
836	Ta(j) = (AcoefT(j) + BcoefT(j)phiT_b9(j)dtime)/C_p(j)
837	qa(j) = AcoefQ(j) + BcoefQ(j)phiQ_b9(j)dtime
838	print *, 'wx_pbl_check: j, Ta, qa ', Ta(j), qa(j)
839
840	qsat_bs(j) = qsat01(j) + dqsatdT01(j)*(Ts_b9(j)-Ts0_b9(j))
841
842	print *,'wx_pbl_check: qsat01, qsat_bs ', j,qsat01(j), qsat_bs(j)
843
844	Ts_x(j) = Ts_b9(j) - sigw(j)*dTs9(j)
845	Ts_w(j) = Ts_b9(j) + sigx(j)*dTs9(j)
846	print *, 'wx_pbl_check: j, Ts_b9, Ts_w, Ts_x ', j, Ts_b9(j), Ts_w(j), Ts_x(j)
847
848	qsat_x(j) = qsat0_x(j) + dqsatdT0_x(j)*(Ts_x(j)-Ts0_x(j))
849	qsat_w(j) = qsat0_w(j) + dqsatdT0_w(j)*(Ts_w(j)-Ts0_w(j))
850
851	print *,'wx_pbl_check: qsat0_w, qsat0_x, qsat_w, qsat_x ', qsat0_w(j), qsat0_x(j), qsat_w(j), qsat_x(j)
852
853	T1_x(j) = (AcoefT_x(j) + BcoefT_x(j)phiT_x9(j)dtime) / C_p(j)
854	T1_w(j) = (AcoefT_w(j) + BcoefT_w(j)phiT_w9(j)dtime) / C_p(j)
855	print *, 'wx_pbl_check: j, T1_w, T1_x ', j, T1_w(j), T1_x(j)
856
857	q1_x(j) = AQ_x(j) + BQ_x(j)phiQ_x9(j)dtime
858	q1_w(j) = AQ_w(j) + BQ_w(j)phiQ_w9(j)dtime
859	print *, 'wx_pbl_check: j, q1_w, q1_x ', j, q1_w(j), q1_x(j)
860
861	qsatsrf_x(j) = beta(j)*qsat_x(j)
862	qsatsrf_w(j) = beta(j)*qsat_w(j)
863	qsatsrf_b(j) = sigw(j)qsatsrf_w(j) + sigx(j)qsatsrf_x(j)
864
865	dqsatsrf1 = qsatsrf_w(j) - qsatsrf_x(j)
866	print *, 'wx_pbl_check: j, qsatsrf_w, qsatsrf_x, dqsatsrf1, dqsatsrf9 ', &
867	qsatsrf_w(j), qsatsrf_x(j), dqsatsrf1, dqsatsrf9(j)
868
869	qsurf_x(j) = (1-beta(j))*q1_x(j) + qsatsrf_x(j)
870	qsurf_w(j) = (1-beta(j))*q1_w(j) + qsatsrf_w(j)
871	print *, 'wx_pbl_check: j, qsurf_w, qsurf_x ', j, qsurf_w(j), qsurf_x(j)
872
873	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
874	! Test qsat01 = qsat0 et dqsatdT01 = dqsatdT0
875	!------------------------------------------------------------------------------------------------------
876	print *, 'wx_pbl_check: j, qsat01(j), qsat0(j) ', j, qsat01(j), qsat0(j)
877	print *, 'wx_pbl_check: j, dqsatdT01(j), dqsatdT0(j) ', j, dqsatdT01(j), dqsatdT0(j)
878
879	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
880	! Test Kexh_Q_sw = Kech_q_w/(1.-betaKech_q_wBcoefQ) Kexh_Q_sx = Kech_q_x/(1.-betaKech_q_xBcoefQ)
881	!------------------------------------------------------------------------------------------------------
882	Kech_Q_sx1 = Kech_q_x(j)/(1.-beta(j)Kech_q_x(j)BQ_x(j)*dtime)
883	Kech_Q_sw1 = Kech_q_w(j)/(1.-beta(j)Kech_q_w(j)BQ_w(j)*dtime)
884	print *, 'wx_pbl_check: j, Kech_Q_sx1, Kech_Q_sx(j)', j, Kech_Q_sx1, Kech_Q_sx(j)
885	print *, 'wx_pbl_check: j, Kech_Q_sw1, Kech_Q_sw(j)', j, Kech_Q_sw1, Kech_Q_sw(j)
886
887	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
888	! Test phiT_w = Kech_h_wC_p(j)(T1_w(j)-Ts_w(j)) phiT_x = Kech_h_xC_p(j)(T1_x(j)-Ts_x(j))
889	!-----------------------------------------------------
890	phiT_x1 = Kech_h_x(j)C_p(j)(T1_x(j)-Ts_x(j))
891	phiT_w1 = Kech_h_w(j)C_p(j)(T1_w(j)-Ts_w(j))
892
893	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
894	! Test phiT_w = Kech_T_pw(AcoefT_w(j)-C_p(j)Ts_w(j)) phiT_x = Kech_T_px(AcoefT_x(j)-C_p(j)Ts_x(j))
895	!-----------------------------------------------------
896	phiT_x2 = Kech_T_px(j)(AcoefT_x(j)-C_p(j)Ts_x(j))
897	phiT_w2 = Kech_T_pw(j)(AcoefT_w(j)-C_p(j)Ts_w(j))
898	print *, 'wx_pbl_check: j, phiT_w1, phiT_w2, phiT_w9 ', j, phiT_w1, phiT_w2, phiT_w9(j)
899	print *, 'wx_pbl_check: j, phiT_x1, phiT_x2, phiT_x9 ', j, phiT_x1, phiT_x2, phiT_x9(j)
900
901	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
902	! Test phiq_w = Kech_q_w ( beta q1_w - qsatsrf_w) phiq_x = Kech_q_x ( beta q1_x - qsatsrf_x))
903	!--------------------------------------------------------------
904	phiq_x1 = Kech_q_x(j)( beta(j)q1_x(j) - qsatsrf_x(j))
905	phiq_w1 = Kech_q_w(j)( beta(j)q1_w(j) - qsatsrf_w(j))
906
907	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
908	! Test phiq_w = Kech_Q_sw (beta AQ_w -qsatsrf_w) phiq_x = Kech_Q_sx (beta AQ_x -qsatsrf_x)
909	!--------------------------------------------------------------
910	phiq_x2 = Kech_Q_sx(j)(beta(j)AQ_x(j) -qsatsrf_x(j))
911	phiq_w2 = Kech_Q_sw(j)(beta(j)AQ_w(j) -qsatsrf_w(j))
912
913	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
914	! Test phiq_w = Kech_q_w ( q1_w - qsurf_w) phiq_x = Kech_q_x ( q1_x - qsurf_x))
915	!--------------------------------------------------------------
916	phiq_x3 = Kech_q_x(j)*( q1_x(j) - qsurf_x(j))
917	phiq_w3 = Kech_q_w(j)*( q1_w(j) - qsurf_w(j))
918	print *, 'wx_pbl_check: j, phiQ_w1, phiQ_w2, phiQ_w3, phiQ_w9 ', j, phiQ_w1, phiQ_w2, phiQ_w3, phiQ_w9(j)
919	print *, 'wx_pbl_check: j, phiQ_x1, phiQ_x2, phiQ_x3, phiQ_x9 ', j, phiQ_x1, phiQ_x2, phiQ_x3, phiQ_x9(j)
920
921	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
922	! Test phiT_b = Kech_h C_p (Ta - Ts_b)
923	!--------------------------------------------------------------
924	phiT_b1 = Kech_h(j)C_p(j)(Ta(j) - Ts_b9(j))
925	print *, 'wx_pbl_check: j, phiT_b1, PhiT_b9 ', j, phiT_b1, PhiT_b9(j)
926
927	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
928	! Test phiQ_b = beta Kech_q (qa - qsat_bs)
929	!--------------------------------------------------------------
930	evap_pot = Kech_q(j)*(qa(j) - qsat_bs(j))
931	phiQ_b1 = beta(j)Kech_q(j)(qa(j) - qsat_bs(j))
932	print *, 'wx_pbl_check: j, beta, evap_pot, phiQ_b1, PhiQ_b9 ', j, beta(j), evap_pot, phiQ_b1, PhiQ_b9(j)
933
934
935	ENDDO ! j = 1, knon
936
937	ENDIF ! (prt_level >=10 )
938	!--------------------------------------------------------------------------------------------------
939
940
941
942	END SUBROUTINE wx_pbl_check
943
944	SUBROUTINE wx_pbl_dts_check( knon, dtime, ypplay, ypaprs, &
945	sigw, beta, iflag_split, &
946	Ts0_b9, dTs09, &
947	qs_b9, Ts_b9, & ! yqsurf, Tsurf_new
948	dqsatsrf9, dTs9, delta_qsurf9, &
949	AcoefT_x, AcoefT_w, &
950	BcoefT_x, BcoefT_w, &
951	AcoefT0, AcoefQ0, BcoefT0, BcoefQ0, &
952	AcoefT, AcoefQ, BcoefT, BcoefQ, &
953	HTphiT_b, dd_HTphiT, HTphiQ_b, dd_HTphiQ, HTRn_b, dd_HTRn, &
954	phiT0_b9, dphiT09, phiQ0_b9, dphiQ09, Rn0_b9, dRn09, &
955	g_T, g_Q, &
956	Gamma_phiT, Gamma_phiQ, &
957	dTs_ins, dqsatsrf_ins, &
958	phiT_b9, phiQ_b9, &
959	phiT_x9, phiT_w9, &
960	phiQ_x9, phiQ_w9 &
961	)
962
963	USE wx_pbl_var_mod
964
965	USE lmdz_print_control, ONLY: prt_level,lunout
966
967	INCLUDE "YOMCST.h"
968	INCLUDE "FCTTRE.h"
969	INCLUDE "YOETHF.h"
970
971	INTEGER, INTENT(IN) :: knon ! number of grid cells
972	REAL, INTENT(IN) :: dtime ! time step size (s)
973	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypplay ! mid-layer pressure (Pa)
974	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypaprs ! pressure at layer interfaces (pa)
975	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pools fractional area
976	REAL, DIMENSION(knon), INTENT(IN) :: beta ! aridity factor
977	INTEGER, INTENT(IN) :: iflag_split
978	REAL, DIMENSION(knon), INTENT(IN) :: Ts0_b9, dTs09
979	REAL, DIMENSION(knon), INTENT(IN) :: qs_b9, Ts_b9 ! yqsurf, Tsurf_new
980	REAL, DIMENSION(knon), INTENT(IN) :: dTs9, dqsatsrf9
981	REAL, DIMENSION(knon), INTENT(IN) :: delta_qsurf9
982	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT_x, AcoefT_w
983	REAL, DIMENSION(knon), INTENT(IN) :: BcoefT_x, BcoefT_w
984	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT0, AcoefQ0, BcoefT0, BcoefQ0
985
986	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT, AcoefQ, BcoefT, BcoefQ
987	REAL, DIMENSION(knon), INTENT(IN) :: HTphiT_b, dd_HTphiT, HTphiQ_b, dd_HTphiQ, HTRn_b, dd_HTRn
988	REAL, DIMENSION(knon), INTENT(IN) :: phiT0_b9, dphiT09, phiQ0_b9, dphiQ09, Rn0_b9, dRn09
989	REAL, DIMENSION(knon), INTENT(IN) :: g_T, g_Q
990	REAL, DIMENSION(knon), INTENT(IN) :: Gamma_phiT, Gamma_phiQ
991	REAL, DIMENSION(knon), INTENT(IN) :: dTs_ins, dqsatsrf_ins
992	REAL, DIMENSION(knon), INTENT(IN) :: phiT_b9, phiQ_b9
993	REAL, DIMENSION(knon), INTENT(IN) :: phiT_x9, phiT_w9
994	REAL, DIMENSION(knon), INTENT(IN) :: phiQ_x9, phiQ_w9
995
996	!! Local variables
997	INTEGER :: j
998	REAL, DIMENSION(knon) :: sigx ! fractional area of (x) region
999	REAL, DIMENSION(knon) :: AcoefT_b, AcoefQ_b ! mean values of AcoefT and AcoefQ
1000	REAL :: zzt, zzq, zzqsat
1001	REAL :: zdelta, zcvm5, zcor, qsat
1002	REAL, DIMENSION(knon) :: qsat_w, qsat_x
1003	REAL, DIMENSION(knon) :: Ts_x, Ts_w, qs_x, qs_w
1004	REAL, DIMENSION(knon) :: T1_x, T1_w, q1_x, q1_w
1005	REAL, DIMENSION(knon) :: Rn_x, Rn_w
1006	REAL, DIMENSION(knon) :: Rn_b, dRn
1007	REAL, DIMENSION(knon) :: phiQ0_x, phiQ0_w
1008	REAL, DIMENSION(knon) :: Ta, qa
1009	REAL, DIMENSION(knon) :: err_phiT_w, err_phiT_x
1010	REAL, DIMENSION(knon) :: err_phiq_w, err_phiq_x
1011	REAL, DIMENSION(knon) :: err_phiT_b
1012	REAL, DIMENSION(knon) :: err_phiQ_b
1013	REAL, DIMENSION(knon) :: err2_phiT_b
1014	REAL :: T1A_x, T1A_w, q1A_x, q1A_w
1015	REAL :: qsatsrf_w, qsatsrf_x, qsatsrfb, qsbA
1016	REAL :: dphiT, dphiQ
1017	REAL :: dphiT_H, dphiQ_H
1018	REAL :: phiQ_pot
1019	REAL :: phiQ_w_m_phiQ0_w
1020	REAL :: phiQ_x_m_phiQ0_x
1021	REAL :: dphiQ_m_dphiQ0
1022	REAL :: dphiT_m_dphiT0
1023	REAL :: dRN_m_dRn0
1024	REAL :: phiTb_m_phiT0b
1025
1026	!----------------------------------------------------------------------------
1027	! Equations to be checked:
1028	! -----------------------
1029	! Input : Ts0_b, dTs0, Ts_b, dTs, qsatsrf_b, dqsatsrf,
1030	! phiT_b, phiQ_b, phiT_w, phiT_x, phiQ_w, phiQ_x,
1031
1032	! AcoefT, AcoefQ, AcoefT_w, AcoefQ_w, AcoefT_x, AcoefQ_x,
1033	! BcoefT, BcoefQ, BcoefT_w, BcoefQ_w, BcoefT_x, BcoefQ_x
1034
1035	! Ts_w = Ts_b + sigx dTs Ts_x = Ts_b - sigw dTs
1036	! T1_w = AcoefT_w + BcoefT_w phiT_w Delta t T1_x = AcoefT_x + BcoefT_x phiT_x Delta t
1037	! q1_w = AcoefQ_w + BcoefQ_w phiQ_w Delta t q1_x = AcoefQ_x + BcoefQ_x phiQ_x Delta t
1038	! phiT_w = Kech_h_w ( T1_w - Ts_w) phiT_x = Kech_h_x ( T1_x - Ts_x)
1039	! phiq_w = beta Kech_h_w ( q1_w - qsat(Ts_w)) phiq_x = beta Kech_h_x ( q1_x - qsat(Ts_x))
1040	! phiT_b = sigw phiT_w + sigx phiT_x dphiT = phiT_w - phiT_x
1041	! phiQ_b = sigw phiQ_w + sigx phiQ_x dphiQ = phiQ_w - phiQ_x
1042	! Ts_b = sigw Ts_w + sigx Ts_x dTs = Ts_w - Ts_x
1043	! Ta = AcoefT + BcoefT phiT_b Delta t
1044	! qa = AcoefQ + BcoefQ phiQ_b Delta t
1045	! phiT_b = Kech_h (Ta - Ts_b)
1046	! phiQ_b = beta Kech_h (qa - qsat(Ts_b))
1047	! dTs = sqrt(tau)/I (dphit + L_v dphiq + dR)
1048
1049	!----------------------------------------------------------------------------
1050
1051	!!
1052	sigx(:) = 1.-sigw(:)
1053	AcoefT_b(1:knon) = AcoefT_x(1:knon) + sigw(1:knon)*dd_AT(1:knon)
1054	AcoefQ_b(1:knon) = AQ_x(1:knon) + sigw(1:knon)*dd_AQ(1:knon)
1055
1056	IF (prt_level >=10 ) THEN
1057	print *,'->wx_pbl_dts_check, HTphiT_b, HTphiQ_b, HTRn_b ', &
1058	HTphiT_b, HTphiQ_b, HTRn_b
1059	print *,'->wx_pbl_dts_check, dd_HTphiT, dd_HTphiQ, dd_HTRn ', &
1060	dd_HTphiT, dd_HTphiQ, dd_HTRn
1061	ENDIF ! (prt_level >=10 )
1062
1063	! Compute the three qsat and dqsatdTs
1064	! ---------------------------------------------
1065	!! print *,' AAAA wx_pbl_dts_check, C_p(j), qsat0(j), Ts0(j) : ', &
1066	!! (C_p(j), qsat0(j), Ts0(j), j = 1,knon)
1067
1068
1069	!--------------------------------------------------------------------------------------------------
1070	IF (prt_level >=10 ) THEN
1071
1072	DO j = 1, knon
1073	Ts_x(j) = Ts_b9(j) - sigw(j)*dTs9(j)
1074	Ts_w(j) = Ts_b9(j) + sigx(j)*dTs9(j)
1075	print *, 'wx_pbl_dts_check: j, Ts_b9, Ts_w, Ts_x ', j, Ts_b9(j), Ts_w(j), Ts_x(j)
1076
1077	qsat_x(j) = qsat0_x(j) + dqsatdT0_x(j)*(Ts_x(j)-Ts0_x(j))
1078	qsat_w(j) = qsat0_w(j) + dqsatdT0_w(j)*(Ts_w(j)-Ts0_w(j))
1079
1080	T1_x(j) = (AcoefT_x(j) + BcoefT_x(j)phiT_x9(j)dtime) / C_p(j)
1081	T1_w(j) = (AcoefT_w(j) + BcoefT_w(j)phiT_w9(j)dtime) / C_p(j)
1082	print *, 'wx_pbl_dts_check: j, T1_w, T1_x ', j, T1_w(j), T1_x(j)
1083
1084	q1_x(j) = AQ_x(j) + BQ_x(j)phiQ_x9(j)dtime
1085	q1_w(j) = AQ_w(j) + BQ_w(j)phiQ_w9(j)dtime
1086	print *, 'wx_pbl_dts_check: j, q1_w, q1_x ', j, q1_w(j), q1_x(j)
1087
1088	Rn_x(j) = eps_1RsigmaT1_x(j)*4 - RsigmaTs_x(j)**4
1089	Rn_w(j) = eps_1RsigmaT1_w(j)*4 - RsigmaTs_w(j)**4
1090	Rn_b(j) = sigw(j)Rn_w(j) + sigx(j)Rn_x(j)
1091	dRn(j) = dRn09(j) - ( HTRn_b(j) &
1092	+(sigx(j)-sigw(j))*dd_HTRn(j) &
1093	-sigw(j)sigx(j)dd_HTRn(j)*dd_HTphiT(j)/HTphiT_b(j) &
1094	)*(dTs9(j)-dTs09(j)) &
1095	+ dd_HTRn(j)/HTphiT_b(j)*(phiT_b9(j)-phiT0_b9(j))
1096
1097	print ,'wx_pbl_dts_check, dphiT, L_vdphiQ, dRn, dTs ', &
1098	phiT_w9(j)-phiT_x9(j), L_v(j)*(phiQ_w9(j)-phiQ_x9(j)), dRn(j), dTs9(j)
1099
1100	phiQ0_x(j) = PhiQ0_b9(j) - sigw(j)*dphiQ09(j)
1101	phiQ0_w(j) = PhiQ0_b9(j) + sigx(j)*dphiQ09(j)
1102
1103	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1104	! Test phiQ_w-phiQ0_w = -betaKech_Q_swdqsatdT_w*(Ts_w-Ts0_w)
1105	!--------------------------------------------------------------
1106	print *,'wx_pbl_dts_check: beta(j), Kech_Q_sw(j), dqsatdT0_w(j), Ts_w(j), Ts0_w(j) ', &
1107	beta(j), Kech_Q_sw(j), dqsatdT0_w(j), Ts_w(j), Ts0_w(j)
1108	phiQ_w_m_phiQ0_w = -beta(j)Kech_Q_sw(j)dqsatdT0_w(j)*(Ts_w(j)-Ts0_w(j))
1109	print *,'wx_pbl_dts_check: j, phiQ_w9-phiQ0_w, phiQ_w_m_phiQ0_w ', &
1110	j, phiQ_w9(j)-phiQ0_w(j), phiQ_w_m_phiQ0_w
1111
1112	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1113	! Test phiQ_x-phiQ0_x = -betaKech_Q_sxdqsatdT_x*(Ts_x-Ts0_x)
1114	!--------------------------------------------------------------
1115	phiQ_x_m_phiQ0_x = -beta(j)Kech_Q_sx(j)dqsatdT0_x(j)*(Ts_x(j)-Ts0_x(j))
1116	print *,'wx_pbl_dts_check: j, phiQ_x9-phiQ0_x, phiQ_x_m_phiQ0_x ', &
1117	j, phiQ_x9(j)-phiQ0_x(j), phiQ_x_m_phiQ0_x
1118
1119	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1120	! Test dphiT-dphiT0 = -(HTphiT_b+(sigx-sigw)dd_HTphiT)(dTs-dTs0) - dd_HTphiT*(Ts_b-Ts0_b)
1121	!-------------------------------------------------------------------------------------------
1122	dphiT = phiT_w9(j) - phiT_x9(j)
1123	dphiT_m_dphiT0 = -(HTphiT_b(j)+(sigx(j)-sigw(j))dd_HTphiT(j))(dTs9(j)-dTs09(j)) &
1124	- dd_HTphiT(j)*(Ts_b9(j)-Ts0_b9(j))
1125	print *,'wx_pbl_dts_check: j, dphiT-dphiT09, dphiT_m_dphiT0 ',j, dphiT-dphiT09(j), dphiT_m_dphiT0
1126
1127	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1128	! Test dphiQ-dphiQ0 = -(HTphiQ_b+(sigx-sigw)dd_HTphiQ)(dTs-dTs0) - dd_HTphiQ*(Ts_b-Ts0_b)
1129	!-------------------------------------------------------------------------------------------
1130	dphiQ = phiQ_w9(j) - phiQ_x9(j)
1131	dphiQ_m_dphiQ0 = -(HTphiQ_b(j)+(sigx(j)-sigw(j))dd_HTphiQ(j))(dTs9(j)-dTs09(j)) &
1132	- dd_HTphiQ(j)*(Ts_b9(j)-Ts0_b9(j))
1133	print *,'wx_pbl_dts_check: j, dphiQ-dphiQ09, dphiQ_m_dphiQ0 ',j, dphiQ-dphiQ09(j), dphiQ_m_dphiQ0
1134
1135	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1136	! Test dRn-dRn0 = -(HTRn_b+(sigx-sigw)dd_HTRn)(dTs-dTs0) - dd_HTRn*(Ts_b-Ts0_b)
1137	!-------------------------------------------------------------------------------------------
1138	dRn_m_dRn0 = -(HTRn_b(j)+(sigx(j)-sigw(j))dd_HTRn(j))(dTs9(j)-dTs09(j)) &
1139	- dd_HTRn(j)*(Ts_b9(j)-Ts0_b9(j))
1140	print *,'wx_pbl_dts_check: j, dRn-dRn09, dRn_m_dRn0 ',j, dRn-dRn09(j), dRn_m_dRn0
1141
1142	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1143	! Test phiT_b-phiT0_b = -sigxsigwdd_HTphiT(dTs-dTs0) - HTphiT_b(Ts_b-Ts0_b)
1144	!-------------------------------------------------------------------------------
1145	phiTb_m_phiT0b = -sigx(j)sigw(j)dd_HTphiT(j)(dTs9(j)-dTs09(j)) - HTphiT_b(j)(Ts_b9(j)-Ts0_b9(j))
1146	print *,'wx_pbl_dts_check: j, phiT_b9-phiT0_b9, phiTb_m_phiT0b ',j ,phiT_b9(j)-phiT0_b9(j), phiTb_m_phiT0b
1147
1148	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1149	! Test phiT_w, phiT_x, dphiT from HTphiT
1150	!------------------------------------------
1151	! phiT_w = Kech_h_w C_p ( T1_w - Ts_w) phiT_x = Kech_h_x C_p ( T1_x - Ts_x)
1152	err_phiT_x(j) = Kech_h_x(j)C_p(j)(T1_x(j) - Ts_x(j)) - phiT_x9(j)
1153	err_phiT_w(j) = Kech_h_w(j)C_p(j)(T1_w(j) - Ts_w(j)) - phiT_w9(j)
1154	print *, 'wx_pbl_dts_check: j, phiT_w9, phiT_x9, err_phiT_w, err_phiT_x ', &
1155	j, phiT_w9(j), phiT_x9(j), err_phiT_w(j), err_phiT_x(j)
1156	dphiT = phiT_w9(j) - phiT_x9(j)
1157	dphiT_H = dphiT09(j) - ( HTphiT_b(j) &
1158	+(sigx(j)-sigw(j))*dd_HTphiT(j) &
1159	-sigw(j)sigx(j)dd_HTphiT(j)*dd_HTphiT(j)/HTphiT_b(j) &
1160	)*(dTs9(j)-dTs09(j)) &
1161	+ dd_HTphiT(j)/HTphiT_b(j)*(phiT_b9(j)-phiT0_b9(j))
1162	print *,'wx_pbl_dts_check: j, dphiT, dphiT_H ', j, dphiT, dphiT_H
1163
1164	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1165	! Test phiq_w, phiq_x, dphiq from HTphiq
1166	!------------------------------------------
1167
1168	! phiq_w = beta Kech_q_w ( q1_w - qsat(Ts_w)) phiq_x = beta Kech_q_x ( q1_x - qsat(Ts_x))
1169	err_phiq_x(j) = beta(j)Kech_q_x(j)( q1_x(j) - qsat_x(j)) - phiq_x9(j)
1170	err_phiq_w(j) = beta(j)Kech_q_w(j)( q1_w(j) - qsat_w(j)) - phiq_w9(j)
1171	dphiQ = phiQ_w9(j) - phiQ_x9(j)
1172	dphiQ_H = dphiQ09(j) - ( HTphiQ_b(j) &
1173	+(sigx(j)-sigw(j))*dd_HTphiQ(j) &
1174	-sigw(j)sigx(j)dd_HTphiQ(j)*dd_HTphiT(j)/HTphiT_b(j) &
1175	)*(dTs9(j)-dTs09(j)) &
1176	+ dd_HTphiQ(j)/HTphiT_b(j)*(phiT_b9(j)-phiT0_b9(j))
1177	print *,'wx_pbl_dts_check: j, dphiQ, dphiQ_H ', j, dphiQ, dphiQ_H
1178
1179	! phiT_b = sigw phiT_w + sigx phiT_x dphiT = phiT_w - phiT_x
1180	err_phiT_b(j) = sigw(j)phiT_w9(j) + sigx(j)phiT_x9(j) - phiT_b9(j)
1181
1182	! phiQ_b = sigw phiQ_w + sigx phiQ_x dphiQ = phiQ_w - phiQ_x
1183	err_phiQ_b(j) = sigw(j)phiQ_w9(j) + sigx(j)phiQ_x9(j) - phiQ_b9(j)
1184
1185	! Ta = AcoefT + BcoefT phiT_b Delta t
1186	! phiT_b = Kech_h C_p (Ta - Ts_b)
1187	Ta(j) = (AcoefT(j) + BcoefT(j)phiT_b9(j)dtime) / C_p(j)
1188	err2_phiT_b(j) = Kech_h(j)C_p(j)(Ta(j) - Ts_b9(j)) - phiT_b9(j)
1189	print *, 'wx_pbl_dts_check: j, Ta, phiT_b9, err2_phiT_b ', &
1190	j, Ta(j), phiT_b9(j), err2_phiT_b(j)
1191
1192	ENDDO ! j = 1, knon
1193
1194	ENDIF ! (prt_level >=10 )
1195	!--------------------------------------------------------------------------------------------------
1196
1197
1198	END SUBROUTINE wx_pbl_dts_check
1199
1200	SUBROUTINE wx_evappot(knon, q1, Ts, evap_pot)
1201
1202	USE wx_pbl_var_mod
1203
1204	INTEGER, INTENT(IN) :: knon ! number of grid cells
1205	REAL, DIMENSION(knon), INTENT(IN) :: q1 ! specific humidity in layer 1
1206	REAL, DIMENSION(knon), INTENT(IN) :: Ts ! surface temperature
1207
1208	REAL, DIMENSION(knon), INTENT(OUT) :: evap_pot ! potential evaporation
1209
1210	INTEGER :: j
1211	REAL :: qsat_bs
1212
1213	DO j = 1,knon
1214	evap_pot(j) = Kech_q(j)(qsat0(j)+dqsatdT0(j)(Ts(j)-Ts0(j))-q1(j))
1215
1216	qsat_bs = qsat0(j)+dqsatdT0(j)*(Ts(j)-Ts0(j))
1217	!! print *,'wx_evappot : Kech_q, qsat_bs, qa, evap_pot ', Kech_q(j), qsat_bs, q1(j), evap_pot(j)
1218	ENDDO
1219
1220
1221	END SUBROUTINE wx_evappot
1222
1223	END MODULE wx_pbl_mod
1224

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