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wx_pbl_mod.F90 @ 4536

Last change on this file since 4536 was 3906, checked in by jyg, 4 years ago

1/ Bug fix in wx_pbl_mod.F90

2/ New pbl_split option:
iflag_pbl_split=3 ==> iflag_split=1 over ocean,

iflag_split=0 everywhere else.

File size: 60.2 KB

Line
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
33	USE wx_pbl_var_mod
34
35	USE print_control_mod, ONLY: prt_level,lunout
36	USE indice_sol_mod, ONLY: is_oce
37	!
38	INCLUDE "YOMCST.h"
39	INCLUDE "FCTTRE.h"
40	INCLUDE "YOETHF.h"
41	INCLUDE "clesphys.h"
42	!
43	INTEGER, INTENT(IN) :: knon ! number of grid cells
44	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypplay ! mid-layer pressure (Pa)
45	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypaprs ! pressure at layer interfaces (pa)
46	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pools fractional area
47	REAL, DIMENSION(knon), INTENT(IN) :: dTs_forcing ! forced temperature difference (w)-(x)
48	REAL, DIMENSION(knon), INTENT(IN) :: dqs_forcing ! forced humidity difference (w)-(x)
49	REAL, DIMENSION(knon,klev), INTENT(IN) :: yt_x, yt_w, yq_x, yq_w
50	REAL, DIMENSION(knon,klev), INTENT(IN) :: yu_x, yu_w, yv_x, yv_w
51	REAL, DIMENSION(knon), INTENT(IN) :: ycdragh_x, ycdragh_w, ycdragq_x, ycdragq_w
52	REAL, DIMENSION(knon), INTENT(IN) :: ycdragm_x, ycdragm_w
53	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT_x, AcoefT_w, AcoefQ_x, AcoefQ_w
54	REAL, DIMENSION(knon), INTENT(IN) :: AcoefU_x, AcoefU_w, AcoefV_x, AcoefV_w
55	REAL, DIMENSION(knon), INTENT(IN) :: BcoefT_x, BcoefT_w, BcoefQ_x, BcoefQ_w
56	REAL, DIMENSION(knon), INTENT(IN) :: BcoefU_x, BcoefU_w, BcoefV_x, BcoefV_w
57	REAL, DIMENSION(knon), INTENT(OUT) :: AcoefT, AcoefQ, AcoefU, AcoefV
58	REAL, DIMENSION(knon), INTENT(OUT) :: BcoefT, BcoefQ, BcoefU, BcoefV
59	REAL, DIMENSION(knon), INTENT(OUT) :: ycdragh, ycdragq, ycdragm
60	REAL, DIMENSION(knon), INTENT(OUT) :: yt1, yq1, yu1, yv1 ! Apparent T, q, u, v at first level, as
61	!seen by surface modules
62	!
63	! Local variables
64	INTEGER :: j
65	REAL :: dd_Kh
66	REAL :: dd_Kq
67	REAL :: dd_Km
68	REAL :: dd_u
69	REAL :: dd_v
70	REAL :: dd_t
71	REAL :: dd_q
72	!
73	REAL :: LambdaTs, LambdaQs, LambdaUs, LambdaVs
74	!
75	REAL, DIMENSION(knon) :: sigx ! fractional area of (x) region
76	!
77	!
78	sigx(1:knon) = 1.-sigw(1:knon)
79	!
80	!
81	DO j=1,knon
82	!
83	!
84	! Compute w-x differences
85	dd_t = yt_w(j,1) - yt_x(j,1)
86	dd_q = yq_w(j,1) - yq_x(j,1)
87	dd_u = yu_w(j,1) - yu_x(j,1)
88	dd_v = yv_w(j,1) - yv_x(j,1)
89	!
90	! Merged exchange coefficients
91	dd_Kh = Kech_h_w(j) - Kech_h_x(j)
92	dd_Kq = Kech_q_w(j) - Kech_q_x(j)
93	dd_Km = Kech_m_w(j) - Kech_m_x(j)
94	!
95	LambdaTs = dd_KTp(j)/Kech_Tp(j)
96	LambdaQs = dd_KQs(j)/Kech_Qs(j)
97	LambdaUs = dd_KUp(j)/Kech_Up(j)
98	LambdaVs = dd_KVp(j)/Kech_Vp(j)
99	!
100	! Calcul des coef A, B \'equivalents dans la couche 1
101	!
102	! The dTs_forcing and dqs_forcing terms are added for diagnostic purpose ; they should be zero in normal operation.
103	AcoefT(j) = AcoefT_x(j) + sigw(j)(1.+sigx(j)LambdaTs)(dd_AT(j) - C_p(j)dTs_forcing(j))
104	AcoefQ(j) = AcoefQ_x(j) + sigw(j)(1.+sigx(j)LambdaQs)*(dd_AQ(j) - dqs_forcing(j))
105	AcoefU(j) = AcoefU_x(j) + sigw(j)(1.+sigx(j)LambdaUs)*dd_AU(j)
106	AcoefV(j) = AcoefV_x(j) + sigw(j)(1.+sigx(j)LambdaVs)*dd_AV(j)
107	!
108	!
109	!! BcoefT(j) = (sigw(j)Kech_h_w(j)Kech_T_pw(j)*BcoefT_w(j) + &
110	!! sigx(j)Kech_h_x(j)Kech_T_px(j)BcoefT_x(j) )/(Kech_h(j)Kech_Tp(j))
111	!! BcoefQ(j) = (sigw(j)Kech_q_w(j)Kech_Q_pw(j)*BcoefQ_w(j) + &
112	!! sigx(j)Kech_q_x(j)Kech_Q_px(j)BcoefQ_x(j) )/(Kech_q(j)Kech_Qp(j))
113	!! BcoefU(j) = (sigw(j)Kech_m_w(j)Kech_U_pw(j)*BcoefU_w(j) + &
114	!! sigx(j)Kech_m_x(j)Kech_U_px(j)BcoefU_x(j) )/(Kech_m(j)Kech_Up(j))
115	!! BcoefV(j) = (sigw(j)Kech_m_w(j)Kech_V_pw(j)*BcoefV_w(j) + &
116	!! sigx(j)Kech_m_x(j)Kech_V_px(j)BcoefV_x(j) )/(Kech_m(j)Kech_Vp(j))
117	!
118	!! Print *,'YYYYpbl0: BcoefT_x, sigw, sigx, dd_Kh, dd_KTp, Kech_h_w ', &
119	!! BcoefT_x, sigw, sigx, dd_Kh, dd_KTp, Kech_h_w
120	!! Print *,'YYYYpbl0: Kech_T_pw, dd_BT, Kech_h, Kech_Tp ', &
121	!! Kech_T_pw, dd_BT, Kech_h, Kech_Tp
122	BcoefT(j) = BcoefT_x(j) + sigw(j)(sigx(j)dd_Khdd_KTp(j)BcoefT_x(j) + &
123	Kech_h_w(j)Kech_T_pw(j)dd_BT(j))/(Kech_h(j)*Kech_Tp(j))
124	BcoefQ(j) = BcoefQ_x(j) + sigw(j)(sigx(j)dd_Kqdd_KQs(j)BcoefQ_x(j) + &
125	Kech_q_w(j)Kech_Q_sw(j)dd_BQ(j))/(Kech_q(j)*Kech_Qs(j))
126	BcoefU(j) = BcoefU_x(j) + sigw(j)(sigx(j)dd_Kmdd_KUp(j)BcoefU_x(j) + &
127	Kech_m_w(j)Kech_U_pw(j)dd_BU(j))/(Kech_m(j)*Kech_Up(j))
128	BcoefV(j) = BcoefV_x(j) + sigw(j)(sigx(j)dd_Kmdd_KVp(j)BcoefV_x(j) + &
129	Kech_m_w(j)Kech_V_pw(j)dd_BV(j))/(Kech_m(j)*Kech_Vp(j))
130	!>jyg
131	!
132	!
133	! Calcul des cdrag \'equivalents dans la couche
134	!
135	ycdragm(j) = ycdragm_x(j) + sigw(j)*dd_Cdragm(j)
136	ycdragh(j) = ycdragh_x(j) + sigw(j)*dd_Cdragh(j)
137	ycdragq(j) = ycdragq_x(j) + sigw(j)*dd_Cdragq(j)
138	!
139	! Calcul de T, q, u et v \'equivalents dans la couche 1
140	!! yt1(j) = yt_x(j,1) + sigw(j)dd_t(1.+sigx(j)*dd_Kh/KCT)
141	!! yq1(j) = yq_x(j,1) + sigw(j)dd_q(1.+sigx(j)*dd_Kh/KCQ)
142	!! yu1(j) = yu_x(j,1) + sigw(j)dd_u(1.+sigx(j)*dd_Km/KCU)
143	!! yv1(j) = yv_x(j,1) + sigw(j)dd_v(1.+sigx(j)*dd_Km/KCV)
144	yt1(j) = yt_x(j,1) + sigw(j)*dd_t
145	yq1(j) = yq_x(j,1) + sigw(j)*dd_q
146	yu1(j) = yu_x(j,1) + sigw(j)*dd_u
147	yv1(j) = yv_x(j,1) + sigw(j)*dd_v
148
149
150	ENDDO
151
152	RETURN
153
154	END SUBROUTINE wx_pbl0_merge
155
156	SUBROUTINE wx_pbl_dts_merge(knon, dtime, ypplay, ypaprs, &
157	sigw, beta, wcstar, wdens, &
158	AT_x, AT_w, &
159	BT_x, BT_w, &
160	AcoefT0, AcoefQ0, BcoefT0, BcoefQ0, &
161	AcoefT, AcoefQ, BcoefT, BcoefQ, &
162	HTphiT_b, dd_HTphiT, HTphiQ_b, dd_HTphiQ, HTRn_b, dd_HTRn, &
163	phiT0_b, dphiT0, phiQ0_b, dphiQ0, Rn0_b, dRn0, &
164	g_T, g_Q, &
165	Gamma_phiT, Gamma_phiQ, &
166	dTs_ins, dqsatsrf_ins &
167	)
168	!
169
170	USE wx_pbl_var_mod
171
172	USE print_control_mod, ONLY: prt_level,lunout
173	!
174	INCLUDE "YOMCST.h"
175	INCLUDE "FCTTRE.h"
176	INCLUDE "YOETHF.h"
177	!
178	INTEGER, INTENT(IN) :: knon ! number of grid cells
179	REAL, INTENT(IN) :: dtime ! time step size (s)
180	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypplay ! mid-layer pressure (Pa)
181	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypaprs ! pressure at layer interfaces (pa)
182	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pool fractional area
183	REAL, DIMENSION(knon), INTENT(IN) :: beta ! evaporation by potential evaporation
184	REAL, DIMENSION(knon), INTENT(IN) :: wcstar ! cold pool gust front speed
185	REAL, DIMENSION(knon), INTENT(IN) :: wdens ! cold pool number density
186	REAL, DIMENSION(knon), INTENT(IN) :: AT_x, AT_w
187	REAL, DIMENSION(knon), INTENT(IN) :: BT_x, BT_w
188	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT0, AcoefQ0, BcoefT0, BcoefQ0
189	!
190	REAL, DIMENSION(knon), INTENT(OUT) :: AcoefT, AcoefQ, BcoefT, BcoefQ
191	REAL, DIMENSION(knon), INTENT(OUT) :: HTphiT_b, dd_HTphiT, HTphiQ_b, dd_HTphiQ, HTRn_b, dd_HTRn
192	REAL, DIMENSION(knon), INTENT(OUT) :: phiT0_b, dphiT0, phiQ0_b, dphiQ0, Rn0_b, dRn0
193	REAL, DIMENSION(knon), INTENT(OUT) :: g_T, g_Q
194	REAL, DIMENSION(knon), INTENT(OUT) :: Gamma_phiT, Gamma_phiQ
195	REAL, DIMENSION(knon), INTENT(OUT) :: dTs_ins, dqsatsrf_ins
196	!
197	! Local variables
198	REAL, DIMENSION(knon) :: qsat_x
199	REAL, DIMENSION(knon) :: qsat_w
200	REAL, DIMENSION(knon) :: dqsatdT_x
201	REAL, DIMENSION(knon) :: dqsatdT_w
202	!
203	REAL, DIMENSION(knon) :: T10_x
204	REAL, DIMENSION(knon) :: T10_w
205	REAL, DIMENSION(knon) :: phiT0_x
206	REAL, DIMENSION(knon) :: phiT0_w
207	REAL, DIMENSION(knon) :: phiQ0_x
208	REAL, DIMENSION(knon) :: phiQ0_w
209	REAL, DIMENSION(knon) :: Rn0_x
210	REAL, DIMENSION(knon) :: Rn0_w
211	REAL, DIMENSION(knon) :: Rp1_x
212	REAL, DIMENSION(knon) :: Rp1_w
213	REAL, DIMENSION(knon) :: Rps_x
214	REAL, DIMENSION(knon) :: Rps_w
215	!
216	REAL, DIMENSION(knon) :: HTphiT_x
217	REAL, DIMENSION(knon) :: HTphiT_w
218	REAL, DIMENSION(knon) :: HTphiQ_x
219	REAL, DIMENSION(knon) :: HTphiQ_w
220	REAL, DIMENSION(knon) :: HTRn_x
221	REAL, DIMENSION(knon) :: HTRn_w
222	!
223	REAL, DIMENSION(knon) :: HQphiT_x
224	REAL, DIMENSION(knon) :: HQphiT_w
225	REAL, DIMENSION(knon) :: HQphiQ_x
226	REAL, DIMENSION(knon) :: HQphiQ_w
227	REAL, DIMENSION(knon) :: HQRn_x
228	REAL, DIMENSION(knon) :: HQRn_w
229	!
230	REAL, DIMENSION(knon) :: HQphiT_b
231	REAL, DIMENSION(knon) :: dd_HQphiT
232	REAL, DIMENSION(knon) :: HQphiQ_b
233	REAL, DIMENSION(knon) :: dd_HQphiQ
234	REAL, DIMENSION(knon) :: HQRn_b
235	REAL, DIMENSION(knon) :: dd_HQRn
236	!
237
238	REAL, DIMENSION(knon) :: sigx
239	!
240	REAL, DIMENSION(knon) :: Ts, T1
241	!!! REAL, DIMENSION(knon) :: qsat, dqsat_dT
242	!!! REAL, DIMENSION(knon) :: phiT0
243	!
244	!!! REAL, DIMENSION(knon) :: Cp, Lv
245	REAL, DIMENSION(knon) :: tau, Inert
246	!
247	REAL :: dd_Kh
248	REAL :: zdelta, zcvm5, zcor
249	REAL :: qsat
250	!
251	INTEGER :: j
252
253
254	!----------------------------------------------------------------------------
255	! Reference state
256	! ---------------
257	! dqsat_dT_w = dqsat_dT(Ts0_w) dqsat_dT_x = dqsat_dT(Ts0_x)
258	! T10_w = (AT_w/Cp - Kech_T_w BT_w dtime Ts0_w)/(1 - Kech_T_w BT_w dtime)
259	! T10_x = (AT_x/Cp - Kech_T_x BT_x dtime Ts0_x)/(1 - Kech_T_x BT_x dtime)
260	! phiT0_w = Kech_T_pw (AT_w - Cp Ts0_w) phiT0_x = Kech_T_px (AT_x - Cp Ts0_x)
261	! phiQ0_w = Kech_Q_sw (beta AQ_w - qsatsrf0_w) phiQ0_x = Kech_Q_sx (beta AQ_x - qsatsrf0_x)
262	! Rn0_w = eps_1 Rsigma T10_w^4 - Rsigma Ts0_w^4 Rn0_x = eps_1 Rsigma T10_x^4 - Rsigma Ts0_x^4
263	! Rp1_w = 4 eps_1 Rsigma T10_w^3 Rp1_x = 4 eps_1 Rsigma T10_x^3
264	! Rps_w = 4 Rsigma Ts0_w^3 Rps_x = 4 Rsigma Ts0_x^3
265	!
266	! phiT0_b = sigw phiT0_w + sigx phiT0_x
267	! dphiT0 = phiT0_w - phiT0_x
268	! phiQ0_b = sigw phiQ0_w + sigx phiQ0_x
269	! dphiQ0 = phiQ0_w - phiQ0_x
270	! Rn0_b = sigw Rn0_w + sigx Rn0_x
271	dRn0 = Rn0_w - Rn0_x
272	!
273	!
274	!----------------------------------------------------------------------------
275	! Elementary enthalpy equations
276	! -----------------------------
277	! phiT_w = phiT0_w - HTphiT_w (Ts_w-Ts0_w) phiT_x = phiT0_x - HTphiT_x (Ts_x-Ts0_x)
278	! phiQ_w = phiQ0_w - HTphiQ_w (Ts_w-Ts0_w) phiQ_x = phiQ0_x - HTphiQ_x (Ts_x-Ts0_x)
279	! Rn_w = Rn0_w - HTRn_w (Ts_w-Ts0_w) Rn_x = Rn0_x - HTRn_x (Ts_x-Ts0_x)
280	! DFlux_DT coefficients
281	! ---------------------
282	! Heat flux equation
283	! HTphiT_w = Cp Kech_T_pw HTphiT_x = Cp Kech_T_px
284	! Moisture flux equation
285	! HTphiQ_w = beta Kech_Q_sw dqsat_dT_w HTphiQ_x = beta Kech_Q_sx dqsat_dT_x
286	! Radiation equation
287	! HTRn_w = Rp1_w Kech_T_pw BcoefT_w dtime + Rps_w HTRn_x = Rp1_x Kech_T_px BcoefT_x dtime + Rps_x
288	!
289	!----------------------------------------------------------------------------
290	! Elementary moisture equations
291	! -----------------------------
292	! beta Ts_w = beta Ts0_w + QQ_w (qsatsrf_w-qsatsrf0_w) beta Ts_x = beta Ts0_x + QQ_x (qsatsrf_x-qsatsrf0_x)
293	! beta phiT_w = beta phiT0_w - HQphiT_w (qsatsrf_w-qsatsrf0_w) beta phiQ_x = beta phiQ0_x - HTphiQ_x (qsatsrf_x-qsatsrf0_x)
294	! beta phiQ_w = beta phiQ0_w - HQphiQ_w (qsatsrf_w-qsatsrf0_w) beta phiQ_x = beta phiQ0_x - HTphiQ_x (qsatsrf_x-qsatsrf0_x)
295	! beta Rn_w = beta Rn0_w - HQRn_w (qsatsrf_w-qsatsrf0_w) beta Rn_x = beta Rn0_x - HTRn_x (qsatsrf_x-qsatsrf0_x)
296	! DFluxDQ coefficients
297	! ---------------------
298	! dqsat_dT equation
299	! QQ_w = 1. / dqsat_dT_w QQ_x = 1. / dqsat_dT_x
300	! Heat flux equation
301	! HQphiT_w = Cp Kech_T_pw QQ_w HQphiT_x = Cp Kech_T_px QQ_x
302	! Moisture flux equation
303	! HQphiQ_w = beta Kech_Q_sw HQphiQ_x = beta Kech_Q_sx
304	! Radiation equation
305	! HQRn_w = (Rp1_w Kech_T_pw BcoefT_w dtime + Rps_w) QQ_w
306	! HQRn_x = (Rp1_x Kech_T_px BcoefT_x dtime + Rps_x) QQ_x
307	!
308	!----------------------------------------------------------------------------
309	! Mean values and w-x differences
310	! -------------------------------
311	! HTphiT_b = sigw HTphiT_w + sigx HTphiT_x dd_HTphiT = HTphiT_w - HTphiT_x
312	! HTphiQ_b = sigw HTphiQ_w + sigx HTphiQ_x dd_HTphiQ = HTphiQ_w - HTphiQ_x
313	! HTRn_b = sigw HTRn_w + sigx HTRn_x dd_HTRn = HTRn_w - HTRn_x
314	!
315	! QQ_b = sigw QQ_w + sigx QQ_x dd_QQ = QQ_w - QQ_x
316	! HQphiT_b = sigw HQphiT_w + sigx HQphiT_x dd_HQphiT = HQphiT_w - HQphiT_x
317	! HQphiQ_b = sigw HQphiQ_w + sigx HQphiQ_x dd_HQphiQ = HQphiQ_w - HQphiQ_x
318	! HQRn_b = sigw HQRn_w + sigx HQRn_x dd_HQRn = HQRn_w - HQRn_x
319	!
320	!----------------------------------------------------------------------------
321	! Equations
322	! ---------
323	! (1 - g_T) dTs = dTs_ins + Gamma_phiT phiT
324	! (1 - g_Q) dqsatsrf = dqsatsrf_ins + Gamma_phiQ phiQ
325	!
326	! Feedback Gains
327	! --------------
328	! g_T = - (sqrt(tau)/I) [ HTphiT_b + Lv HTphiQ_b + HTRn_b + &
329	! (dd_HTphiT + Lv dd_HTphiQ + dd_HTRn) (sigx - sigw - sigw sigx dd_HTphiT/HTphiT_b) ]
330	! g_Q = - (sqrt(tau)/(I QQ_b)) ( HQphiT_b + Lv HQphiQ_b + HQRn_b ) - &
331	! (sigx - sigw - sigw sigx dd_HQphiQ/HQphiQ_b) &
332	! [ dd_QQ/QQ_b + (sqrt(tau)/(I QQ_b))(dd_HQphiT + Lv dd_HQphiQ + dd_HQRn) ]
333	!
334	! Ts, qs Coupling coefficients /
335	! ----------------------------
336	! Gamma_phiT = (sqrt(tau)/(I HTphiT_b)) (dd_HTphiT + Lv dd_HTphiQ + dd_HTRn)
337	! Gamma_phiQ = (1/(HQphiQ_b QQ_b)) [ dd_QQ + (sqrt(tau)/(I )) (dd_HQphiT + Lv dd_HQphiQ + dd_HQRn) ]
338	!
339	! Insensitive changes
340	! -------------------
341	! dTs_ins = (1 - g_T) dTs0 - Gamma_phiT phiT0_b
342	! dqsatsrf_ins = (1 - g_Q) dqsatsrf0 - Gamma_phiQ phiQ0_b
343	!
344	!----------------------------------------------------------------------------
345	! Effective coefficients Acoef and Bcoef
346	! --------------------------------------
347	! Equations
348	! ---------
349	! Cp Ta = AcoefT + BcoefT phiT dtime
350	! qa = AcoefQ + BcoefQ phiQ dtime
351	! Coefficients
352	! ------------
353	! AcoefT = AcoefT0 - sigw sigx (dd_KTp/Kech_Tp) Cp dTs_ins/(1 - g_T)
354	! BcoefT = BcoefT0 - sigw sigx (dd_KTp/Kech_Tp) Cp Gamma_phiT/(1 - g_T)/dtime
355	!
356	! AcoefQ = AcoefQ0 - sigw sigx (dd_KQp/Kech_Qp) dqs_ins/(1 - g_Q)
357	! BcoefQ = BcoefQ0 - sigw sigx (dd_KQp/Kech_Qp) Gamma_phiq/(1 - g_Q)/dtime
358	!
359	!==============================================================================
360	!
361	!
362	! Parameters
363	! ----------
364	Inert(1:knon) = 2000.
365	tau(1:knon) = sqrt(sigw(1:knon)/max(rpiwdens(1:knon)wcstar(1:knon)**2 , &
366	sigw(1:knon)*1.e-12,smallestreal))
367	sigx(1:knon) = 1.-sigw(1:knon)
368	!! Compute Cp, Lv, qsat, dqsat_dT.
369	! C_p(1:knon) = RCpd
370	! L_v(1:knon) = RLvtt
371	!
372	! print *,' AAAA wx_pbl_dTs, C_p(j), qsat0(j), Ts0(j) : ', C_p(:), qsat0(:), Ts0(:)
373	!
374	!
375	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))/ &
376	(1 - Kech_h_x(1:knon)BT_x(1:knon)dtime)
377	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))/ &
378	(1 - Kech_h_w(1:knon)BT_w(1:knon)dtime)
379	!
380	phiT0_x(1:knon) = Kech_T_px(1:knon)(AT_x(1:knon) - C_p(1:knon)Ts0_x(1:knon))
381	phiT0_w(1:knon) = Kech_T_pw(1:knon)(AT_w(1:knon) - C_p(1:knon)Ts0_w(1:knon))
382	!
383	phiQ0_x(1:knon) = Kech_Q_sx(1:knon)(beta(1:knon)AQ_x(1:knon) - qsatsrf0_x(1:knon))
384	phiQ0_w(1:knon) = Kech_Q_sw(1:knon)(beta(1:knon)AQ_w(1:knon) - qsatsrf0_w(1:knon))
385	!
386	Rn0_x(1:knon) = eps_1RsigmaT10_x(1:knon)*4 - RsigmaTs0_x(1:knon)**4
387	Rn0_w(1:knon) = eps_1RsigmaT10_w(1:knon)*4 - RsigmaTs0_w(1:knon)**4
388	!
389	Rp1_x(1:knon) = 4eps_1RsigmaT10_x(1:knon)*3
390	Rp1_w(1:knon) = 4eps_1RsigmaT10_w(1:knon)*3
391	!
392	Rps_x(1:knon) = 4RsigmaTs0_x(1:knon)**3
393	Rps_w(1:knon) = 4RsigmaTs0_w(1:knon)**3
394	!
395	! DFlux_DT coefficients
396	! ---------------------
397	! Heat flux equation
398	HTphiT_x(1:knon) = C_p(1:knon)*Kech_T_px(1:knon)
399	HTphiT_w(1:knon) = C_p(1:knon)*Kech_T_pw(1:knon)
400	! Moisture flux equation
401	HTphiQ_x(1:knon) = beta(1:knon)Kech_Q_sx(1:knon)dqsatdT0_x(1:knon)
402	HTphiQ_w(1:knon) = beta(1:knon)Kech_Q_sw(1:knon)dqsatdT0_w(1:knon)
403	! Radiation equation
404	HTRn_x(1:knon) = Rp1_x(1:knon)Kech_T_px(1:knon)BT_x(1:knon)*dtime + Rps_x(1:knon)
405	HTRn_w(1:knon) = Rp1_w(1:knon)Kech_T_pw(1:knon)BT_w(1:knon)*dtime + Rps_w(1:knon)
406	!
407	! DFluxDQ coefficients
408	! ---------------------
409	! Heat flux equation
410	HQphiT_x(1:knon) = C_p(1:knon)Kech_T_px(1:knon)QQ_x(1:knon)
411	HQphiT_w(1:knon) = C_p(1:knon)Kech_T_pw(1:knon)QQ_w(1:knon)
412	! Moisture flux equation
413	HQphiQ_x(1:knon) = beta(1:knon)*Kech_Q_sx(1:knon)
414	HQphiQ_w(1:knon) = beta(1:knon)*Kech_Q_sw(1:knon)
415	! Radiation equation
416	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)
417	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)
418	!
419	! Mean values and w-x differences
420	! -------------------------------
421	phiT0_b(1:knon) = sigw(1:knon)phiT0_w(1:knon) + sigx(1:knon)phiT0_x(1:knon)
422	phiQ0_b(1:knon) = sigw(1:knon)phiQ0_w(1:knon) + sigx(1:knon)phiQ0_x(1:knon)
423	Rn0_b(1:knon) = sigw(1:knon)Rn0_w(1:knon) + sigx(1:knon)Rn0_x(1:knon)
424	!
425	dphiT0(1:knon) = phiT0_w(1:knon) - phiT0_x(1:knon)
426	dphiQ0(1:knon) = phiQ0_w(1:knon) - phiQ0_x(1:knon)
427	dRn0(1:knon) = Rn0_w(1:knon) - Rn0_x(1:knon)
428	!
429	HTphiT_b(1:knon) = sigw(1:knon)HTphiT_w(1:knon) + sigx(1:knon)HTphiT_x(1:knon)
430	dd_HTphiT(1:knon) = HTphiT_w(1:knon) - HTphiT_x(1:knon)
431	!
432	HTphiQ_b(1:knon) = sigw(1:knon)HTphiQ_w(1:knon) + sigx(1:knon)HTphiQ_x(1:knon)
433	dd_HTphiQ(1:knon) = HTphiQ_w(1:knon) - HTphiQ_x(1:knon)
434	!
435	HTRn_b(1:knon) = sigw(1:knon)HTRn_w(1:knon) + sigx(1:knon)HTRn_x(1:knon)
436	dd_HTRn(1:knon) = HTRn_w(1:knon) - HTRn_x(1:knon)
437	!
438	HQphiT_b(1:knon) = sigw(1:knon)HQphiT_w(1:knon) + sigx(1:knon)HQphiT_x(1:knon)
439	dd_HQphiT(1:knon) = HQphiT_w(1:knon) - HQphiT_x(1:knon)
440	!
441	HQphiQ_b(1:knon) = sigw(1:knon)HQphiQ_w(1:knon) + sigx(1:knon)HQphiQ_x(1:knon)
442	dd_HQphiQ(1:knon) = HQphiQ_w - HQphiQ_x(1:knon)
443	!
444	HQRn_b(1:knon) = sigw(1:knon)HQRn_w(1:knon) + sigx(1:knon)HQRn_x(1:knon)
445	dd_HQRn(1:knon) = HQRn_w(1:knon) - HQRn_x(1:knon)
446	!
447	! Feedback Gains
448	! --------------
449	g_T(1:knon) = - (sqrt(tau(1:knon))/Inert(1:knon)) &
450	* (HTphiT_b(1:knon) + L_v(1:knon)*HTphiQ_b(1:knon) + HTRn_b(1:knon) &
451	+ (dd_HTphiT(1:knon) + L_v(1:knon)*dd_HTphiQ(1:knon) + dd_HTRn(1:knon)) &
452	* (sigx(1:knon) - sigw(1:knon) - sigw(1:knon)sigx(1:knon)dd_HTphiT(1:knon)/HTphiT_b(1:knon)) )
453	!
454	!!!! DO j = 1,knon
455	!!!! IF (mod(j,20) .eq.0) THEN
456	!!!! print *, ' j dd_QQ QQ_b dd_HQphiQ dd_HQphiT dd_HQRn HQphiQ_b HQphiT_b HQRn_b '
457	!!!! ENDIF
458	!!!! 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)
459	!!!! 1789 FORMAT( I4, 10(1X,E10.2))
460	!!!! ENDDO
461	g_Q(1:knon) = - (dd_QQ(1:knon)/QQ_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	- sqrt(tau(1:knon))/(Inert(1:knon)QQ_b(1:knon)) &
464	( HQphiT_b(1:knon) + L_v(1:knon)*HQphiQ_b(1:knon) + HQRn_b(1:knon) + &
465	(sigx(1:knon) - sigw(1:knon) - sigw(1:knon)sigx(1:knon)dd_KQs(1:knon)/Kech_Qs(1:knon)) * &
466	(dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
467
468	!! g_Q(1:knon) = - (dd_QQ(1:knon)/QQ_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	!! - sqrt(tau(1:knon))/(Inert(1:knon)QQ_b(1:knon)) &
471	!! ( HQphiT_b(1:knon) + L_v(1:knon)*HQphiQ_b(1:knon) + HQRn_b(1:knon) + &
472	!! (sigx(1:knon) - sigw(1:knon) - sigw(1:knon)sigx(1:knon)dd_HQphiQ(1:knon)/HQphiQ_b(1:knon)) * &
473	!! (dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
474
475	!! g_Q(1:knon) = - (sqrt(tau(1:knon))/(Inert(1:knon)QQ_b(1:knon))) &
476	!! ( HQphiT_b(1:knon) + L_v(1:knon)*HQphiQ_b(1:knon) + HQRn_b(1:knon) ) &
477	!! - (sigx(1:knon) - sigw(1:knon) - sigw(1:knon)sigx(1:knon)dd_HQphiQ(1:knon)/HQphiQ_b(1:knon)) * &
478	!! ( dd_QQ(1:knon)/QQ_b(1:knon) &
479	!! + (sqrt(tau(1:knon))/(Inert(1:knon)*QQ_b(1:knon))) &
480	!! * (dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
481
482	! Ts, qs Coupling coefficients /
483	! ----------------------------
484	Gamma_phiT(1:knon) = (sqrt(tau(1:knon))/(Inert(1:knon)*HTphiT_b(1:knon))) &
485	* (dd_HTphiT(1:knon) + L_v(1:knon)*dd_HTphiQ(1:knon) + dd_HTRn(1:knon))
486	!
487	Gamma_phiQ(1:knon) = (1./(Kech_Qs(1:knon)QQ_b(1:knon))) &
488	( dd_QQ(1:knon) &
489	+ (sqrt(tau(1:knon))/(Inert(1:knon))) * &
490	(dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
491
492	!! Gamma_phiQ(1:knon) = (beta(1:knon)/(HQphiQ_b(1:knon)QQ_b(1:knon))) &
493	!! ( dd_QQ(1:knon) &
494	!! + (sqrt(tau(1:knon))/(Inert(1:knon))) * &
495	!! (dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
496
497	!! Gamma_phiQ(1:knon) = (1/(HQphiQ_b(1:knon)*QQ_b(1:knon))) &
498	!! * ( dd_QQ(1:knon) &
499	!! + (sqrt(tau(1:knon))/(Inert(1:knon))) &
500	!! * (dd_HQphiT(1:knon) + L_v(1:knon)*dd_HQphiQ(1:knon) + dd_HQRn(1:knon)) )
501	!
502	! Insensitive changes
503	! -------------------
504	dTs_ins(1:knon) = (sqrt(tau(1:knon))/Inert(1:knon))* &
505	(dphiT0(1:knon) + L_v(1:knon)*dphiQ0(1:knon) + dRn0(1:knon))
506	!
507	dqsatsrf_ins(1:knon) = (beta(1:knon)/QQ_b(1:knon))*dTs_ins(1:knon)
508	!
509	IF (prt_level .Ge. 10) THEN
510	print *,'wx_pbl_merge, tau ', tau
511	print *,'wx_pbl_merge, AcoefT0 ', AcoefT0
512	print *,'wx_pbl_merge, AcoefQ0 ', AcoefQ0
513	print *,'wx_pbl_merge, BcoefT0 ', BcoefT0
514	print *,'wx_pbl_merge, BcoefQ0 ', BcoefQ0
515	print *,'wx_pbl_merge, qsat0_w, qsat0_x ', (qsat0_w(j), qsat0_x(j),j=1,knon)
516	print *,'wx_pbl_merge, dqsatdT0_w, dqsatdT0_x ', (dqsatdT0_w(j), dqsatdT0_x(j),j=1,knon)
517	ENDIF
518	!
519	!----------------------------------------------------------------------------
520	!
521	!------------------------------------------------------------------------------
522	!
523	! Effective coefficients Acoef and Bcoef
524	! --------------------------------------
525	DO j = 1,knon
526	AcoefT(j) = AcoefT0(j) - sigw(j)sigx(j)(dd_KTp(j)/Kech_Tp(j))C_p(j) &
527	(dTs0(j) + (dTs_ins(j)-dTs0(j)-Gamma_phiT(j)*phiT0_b(j))/(1. - g_T(j)))
528	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
529
530	AcoefQ(j) = AcoefQ0(j) - sigw(j)sigx(j)(dd_KQs(j)/Kech_Qs(j))* &
531	(dqsatsrf0(j) + (dqsatsrf_ins(j)-(beta(j)/QQ_b(j))dTs0(j)-Gamma_phiQ(j)phiQ0_b(j))/(1 - g_Q(j)))/ &
532	max(beta(j),1.e-4)
533	BcoefQ(j) = BcoefQ0(j) - sigw(j)sigx(j)(dd_KQs(j)/Kech_Qs(j))*Gamma_phiQ(j)/(1 - g_Q(j))/ &
534	(max(beta(j),1.e-4)*dtime)
535	!! AcoefQ(j) = AcoefQ0(j) - sigw(j)sigx(j)(dd_KQs(j)/Kech_Qs(j))* &
536	!! (dqsatsrf0(j) + (dqsatsrf_ins(j)-(beta(j)/QQ_b(j))dTs0(j)-Gamma_phiQ(j)phiQ0_b(j))/(1 - g_Q(j)))/ &
537	!! beta(j)
538	!! BcoefQ(j) = BcoefQ0(j) - sigw(j)sigx(j)(dd_KQs(j)/Kech_Qs(j))Gamma_phiQ(j)/(1 - g_Q(j))/(beta(j)dtime)
539	ENDDO ! j = 1,knon
540
541	IF (prt_level .Ge. 10) THEN
542	print *,'wx_pbl_dts AAAA BcoefQ, BcoefQ0, sigw ', &
543	BcoefQ, BcoefQ0, sigw
544	print *,'wx_pbl_dts_merge, dTs_ins ', dTs_ins
545	print *,'wx_pbl_dts_merge, dqs_ins ', dqsatsrf_ins
546	ENDIF
547
548	RETURN
549
550	END SUBROUTINE wx_pbl_dts_merge
551
552	SUBROUTINE wx_pbl_split(knon, nsrf, dtime, sigw, beta, iflag_split, &
553	g_T, g_Q, &
554	Gamma_phiT, Gamma_phiQ, &
555	dTs_ins, dqsatsrf_ins, &
556	phiT, phiQ, phiU, phiV, &
557	!!!! HTRn_b, dd_HTRn, HTphiT_b, dd_HTphiT, &
558	phiQ0_b, phiT0_b, &
559	phiT_x, phiT_w, &
560	phiQ_x, phiQ_w, &
561	phiU_x, phiU_w, &
562	phiV_x, phiV_w, &
563	philat_x, philat_w, &
564	!!!! Rn_b, dRn, &
565	dqsatsrf, &
566	dTs, delta_qsurf &
567	)
568	!
569
570	USE wx_pbl_var_mod
571
572	USE print_control_mod, ONLY: prt_level,lunout
573	USE indice_sol_mod, ONLY: is_oce
574	!
575	INCLUDE "YOMCST.h"
576	!
577	INTEGER, INTENT(IN) :: knon ! number of grid cells
578	INTEGER, INTENT(IN) :: nsrf ! surface type
579	REAL, INTENT(IN) :: dtime ! time step size (s)
580	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pools fractional area
581	REAL, DIMENSION(knon), INTENT(IN) :: beta ! aridity factor
582	INTEGER, INTENT(IN) :: iflag_split
583	REAL, DIMENSION(knon), INTENT(IN) :: g_T, g_Q
584	REAL, DIMENSION(knon), INTENT(IN) :: Gamma_phiT, Gamma_phiQ
585	REAL, DIMENSION(knon), INTENT(IN) :: dTs_ins, dqsatsrf_ins
586	REAL, DIMENSION(knon), INTENT(IN) :: phiT, phiQ, phiU, phiV
587	REAL, DIMENSION(knon), INTENT(IN) :: phiQ0_b, phiT0_b
588	!
589	REAL, DIMENSION(knon), INTENT(OUT) :: phiT_x, phiT_w
590	REAL, DIMENSION(knon), INTENT(OUT) :: phiQ_x, phiQ_w
591	REAL, DIMENSION(knon), INTENT(OUT) :: phiU_x, phiU_w
592	REAL, DIMENSION(knon), INTENT(OUT) :: phiV_x, phiV_w
593	REAL, DIMENSION(knon), INTENT(OUT) :: philat_x, philat_w
594	REAL, DIMENSION(knon), INTENT(OUT) :: dqsatsrf ! beta delta(qsat(Ts))
595	REAL, DIMENSION(knon), INTENT(OUT) :: dTs ! Temperature difference at surface
596	REAL, DIMENSION(knon), INTENT(OUT) :: delta_qsurf
597	!
598	!! Local variables
599	INTEGER :: j
600	REAL, DIMENSION(knon) :: dphiT, dphiQ, dphiU, dphiV
601	REAL, DIMENSION(knon) :: q1_x, q1_w
602	!
603	REAL, DIMENSION(knon) :: sigx ! fractional area of (x) region
604
605	!----------------------------------------------------------------------------
606	! Equations
607	! ---------
608	!!!!!! (1 - g_T) dTs = dTs_ins + Gamma_phiT phiT
609	!!!!!! (1 - g_Q) dqsatsrf = dqsatsrf_ins + Gamma_phiQ phiQ
610	!!!!!! dphiT = (dd_KTp/KTp) phiT + ( dd_AT - C_p dTs)*KxKwTp/KTp
611	!!!!!! dphiQ = (dd_KQs/KQs) phiQ + (beta dd_AQ - dqsatsrf )*KxKwQs/KQs
612	!!!!!! dphiU = (dd_KUp/KUp) phiU + ( dd_AU )*KxKwUp/KUp
613	!!!!!! dphiV = (dd_KVp/KVp) phiV + ( dd_AV )*KxKwVp/KVp
614	!
615	! (1 - g_T) (dTs-dTs0) = dTs_ins-dTs0 + Gamma_phiT (phiT-phiT0)
616	! (1 - g_Q) dqsatsrf = dqsatsrf_ins + Gamma_phiQ phiQ
617	! dphiT = (dd_KTp/KTp) phiT + ( dd_AT - C_p dTs)*KxKwTp/KTp
618	! dphiQ = (dd_KQs/KQs) phiQ + (beta dd_AQ - dqsatsrf )*KxKwQs/KQs
619	! dphiU = (dd_KUp/KUp) phiU + ( dd_AU )*KxKwUp/KUp
620	! dphiV = (dd_KVp/KVp) phiV + ( dd_AV )*KxKwVp/KVp
621	!
622	!!
623	sigx(:) = 1.-sigw(:)
624	!
625	! print *,' AAAA wx_pbl_split, C_p(j), qsat0(j), Ts0(j) : ', C_p(:), qsat0(:), Ts0(:)
626	!
627	IF (iflag_split .EQ. 2 .AND. nsrf .NE. is_oce) THEN
628	!
629	! Delta_tsurf and Delta_qsurf computation
630	! -----------------------------------------
631	IF (prt_level >=10 ) THEN
632	print *,' wx_pbl_split, dTs_ins, dTs0 , Gamma_phiT, g_T ', dTs_ins, dTs0, Gamma_phiT, g_T
633	print *,' wx_pbl_split, dqsatsrf_ins, Gamma_phiQ, g_q ', dqsatsrf_ins, Gamma_phiQ, g_q
634	ENDIF
635	!
636	DO j = 1,knon
637	dTs(j) = dTs0(j) + (dTs_ins(j) - dTs0(j) + Gamma_phiT(j)*(phiT(j)-phiT0_b(j)) )/(1 - g_T(j))
638	dqsatsrf(j) = dqsatsrf0(j) + (dqsatsrf_ins(j) - (beta(j)/QQ_b(j))*dTs0(j) + &
639	Gamma_phiQ(j)*(phiQ(j)-phiQ0_b(j)) )/(1 - g_Q(j))
640	ENDDO ! j = 1,knon
641	!
642	IF (prt_level >=10 ) THEN
643	print *,' wx_pbl_split, dqsatsrf0, QQ_b ', dqsatsrf0, QQ_b
644	print *,' wx_pbl_split, phiT0_b, phiT, dTs ', phiT0_b, phiT, dTs
645	print *,' wx_pbl_split, phiQ0_b, phiQ, dqsatsrf ', phiQ0_b, phiQ, dqsatsrf
646	ENDIF
647	ELSE
648	dTs(:) = 0.
649	dqsatsrf(:) = 0.
650	ENDIF ! (iflag_split .EQ. 2 .AND. nsrf .NE. is_oce)
651	!
652	DO j = 1,knon
653	dphiT(j) = (phiT(j)dd_KTp(j) + ( dd_AT(j) - C_p(j)dTs(j))*KxKwTp(j))/Kech_Tp(j)
654	dphiQ(j) = (phiQ(j)dd_KQs(j) + (beta(j)dd_AQ(j) - dqsatsrf(j))*KxKwQs(j))/Kech_Qs(j)
655	dphiU(j) = (phiU(j)dd_KUp(j) + dd_AU(j) KxKwUp(j))/Kech_Up(j)
656	dphiV(j) = (phiV(j)dd_KVp(j) + dd_AV(j) KxKwVp(j))/Kech_Vp(j)
657	!
658	phiT_x(j)=phiT(j) - sigw(j)*dphiT(j)
659	phiT_w(j)=phiT(j) + sigx(j)*dphiT(j)
660	phiQ_x(j)=phiQ(j) - sigw(j)*dphiQ(j)
661	phiQ_w(j)=phiQ(j) + sigx(j)*dphiQ(j)
662	phiU_x(j)=phiU(j) - sigw(j)*dphiU(j)
663	phiU_w(j)=phiU(j) + sigx(j)*dphiU(j)
664	phiV_x(j)=phiV(j) - sigw(j)*dphiV(j)
665	phiV_w(j)=phiV(j) + sigx(j)*dphiV(j)
666	!
667	philat_x(j)=phiQ_x(j)*RLVTT
668	philat_w(j)=phiQ_w(j)*RLVTT
669	ENDDO ! j = 1,knon
670	!
671	DO j = 1,knon
672	q1_x(j) = AQ_x(j) + BQ_x(j)phiQ_x(j)dtime
673	q1_w(j) = AQ_w(j) + BQ_w(j)phiQ_w(j)dtime
674	ENDDO ! j = 1,knon
675	DO j = 1,knon
676	delta_qsurf(j) = (1.-beta(j))*(q1_w(j) - q1_x(j)) + dqsatsrf(j)
677	ENDDO ! j = 1,knon
678	!
679	!! Do j = 1,knon
680	!! 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)
681	!! 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)
682	!! ENDDO
683	!
684	IF (prt_level >=10 ) THEN
685	print *,' wx_pbl_split, phiT, dphiT, dTs ', phiT, dphiT, dTs
686	print *,' wx_pbl_split, phiQ, dphiQ, dqsatsrf ', phiQ, dphiQ, dqsatsrf
687	ENDIF
688	!
689	IF (prt_level >=10 ) THEN
690	!! print *,' wx_pbl_split, verif dqsatsrf = beta dqsatdT0 dTs '
691	!! print ,' wx_pbl_split, dqsatsrf, dqsatdT0dTs ', dqsatsrf, dqsatdT0*dTs
692	ENDIF
693	!
694	!! IF (knon .NE. 0) THEN
695	!! call iophys_ecrit('sigw', 1,'sigw', '.',sigw)
696	!! call iophys_ecrit('phit', 1,'phit', 'W/m2',phit)
697	!! call iophys_ecrit('phit_w', 1,'phit_w', 'W/m2',phit_w)
698	!! call iophys_ecrit('phit_x', 1,'phit_x', 'W/m2',phit_x)
699	!! call iophys_ecrit('phiq', 1,'phiq', 'kg/m2/s',phiq)
700	!! call iophys_ecrit('phiq_w', 1,'phiq_w', 'kg/m2/s',phiq_w)
701	!! call iophys_ecrit('phiq_x', 1,'phiq_x', 'kg/m2/s',phiq_x)
702	!! call iophys_ecrit('q1_w', 1,'q1_w', '.',q1_w)
703	!! call iophys_ecrit('q1_x', 1,'q1_x', '.',q1_x)
704	!! ENDIF ! (knon .NE. 0)
705	!
706	RETURN
707
708	END SUBROUTINE wx_pbl_split
709
710	SUBROUTINE wx_pbl_check( knon, dtime, ypplay, ypaprs, &
711	sigw, beta, iflag_split, &
712	Ts0_b9, dTs09, &
713	qs_b9, Ts_b9, & ! yqsurf, Tsurf_new
714	dTs9, dqsatsrf9, &
715	AcoefT_x, AcoefT_w, &
716	BcoefT_x, BcoefT_w, &
717	AcoefT0, AcoefQ0, BcoefT0, BcoefQ0, &
718	AcoefT, AcoefQ, BcoefT, BcoefQ, &
719	phiT_b9, phiQ_b9, &
720	phiT_x9, phiT_w9, &
721	phiQ_x9, phiQ_w9 &
722	)
723	!
724
725	USE wx_pbl_var_mod
726
727	USE print_control_mod, ONLY: prt_level,lunout
728	!
729	INCLUDE "YOMCST.h"
730	INCLUDE "FCTTRE.h"
731	INCLUDE "YOETHF.h"
732	!
733	INTEGER, INTENT(IN) :: knon ! number of grid cells
734	REAL, INTENT(IN) :: dtime ! time step size (s)
735	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypplay ! mid-layer pressure (Pa)
736	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypaprs ! pressure at layer interfaces (pa)
737	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pools fractional area
738	REAL, DIMENSION(knon), INTENT(IN) :: beta ! aridity factor
739	INTEGER, INTENT(IN) :: iflag_split
740	REAL, DIMENSION(knon), INTENT(IN) :: Ts0_b9, dTs09
741	REAL, DIMENSION(knon), INTENT(IN) :: qs_b9, Ts_b9 ! yqsurf, Tsurf_new
742	REAL, DIMENSION(knon), INTENT(IN) :: dTs9, dqsatsrf9
743	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT_x, AcoefT_w
744	REAL, DIMENSION(knon), INTENT(IN) :: BcoefT_x, BcoefT_w
745	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT0, AcoefQ0, BcoefT0, BcoefQ0
746	!
747	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT, AcoefQ, BcoefT, BcoefQ
748	REAL, DIMENSION(knon), INTENT(IN) :: phiT_b9, phiQ_b9
749	REAL, DIMENSION(knon), INTENT(IN) :: phiT_x9, phiT_w9
750	REAL, DIMENSION(knon), INTENT(IN) :: phiQ_x9, phiQ_w9
751	!
752	!! Local variables
753	INTEGER :: j
754	REAL, DIMENSION(knon) :: sigx ! fractional area of (x) region
755	REAL, DIMENSION(knon) :: AcoefT_b, AcoefQ_b ! mean values of AcoefT and AcoefQ
756	REAL :: zzt, zzq, zzqsat
757	REAL :: zdelta, zcvm5, zcor, qsat
758	REAL, DIMENSION(knon) :: qsat_w, qsat_x
759	REAL, DIMENSION(knon) :: dqsatdT_w, dqsatdT_x
760	REAL, DIMENSION(knon) :: qsat_bs ! qsat(Ts_b)
761	REAL, DIMENSION(knon) :: qsat01, dqsatdT01
762	REAL, DIMENSION(knon) :: Ts_x, Ts_w, qs_x, qs_w
763	REAL, DIMENSION(knon) :: T1_x, T1_w, q1_x, q1_w
764	REAL, DIMENSION(knon) :: Rn_x, Rn_w
765	REAL, DIMENSION(knon) :: phiQ0_x, phiQ0_w
766	REAL, DIMENSION(knon) :: Ta, qa
767	REAL, DIMENSION(knon) :: qsatsrf_w, qsatsrf_x, qsatsrf_b
768	REAL, DIMENSION(knon) :: qsurf_w, qsurf_x
769	REAL :: dphiT, dphiQ
770	REAL :: dqsatsrf1
771	REAL :: phiT_w1, phiT_w2
772	REAL :: phiT_x1, phiT_x2
773	REAL :: phiQ_w1, phiQ_w2, phiQ_w3
774	REAL :: phiQ_x1, phiQ_x2, phiQ_x3
775	REAL :: phiT_b1, phiQ_b1
776	REAL :: Kech_Q_sw1, Kech_Q_sx1
777	REAL :: evap_pot
778
779	!----------------------------------------------------------------------------
780	! Equations to be checked:
781	! -----------------------
782	! Input : Ts0_b, dTs0, Ts_b, dTs, qsatsrf_b, dqsatsrf,
783	! phiT_b, phiQ_b, phiT_w, phiT_x, phiQ_w, phiQ_x,
784	!
785	! AcoefT, AcoefQ, AcoefT_w, AcoefQ_w, AcoefT_x, AcoefQ_x,
786	! BcoefT, BcoefQ, BcoefT_w, BcoefQ_w, BcoefT_x, BcoefQ_x
787	!
788	! C_p T1_w = AcoefT_w + BcoefT_w phiT_w Delta t C_p T1_x = AcoefT_x + BcoefT_x phiT_x Delta t
789	! q1_w = AQ_w + BQ_w phiQ_w Delta t q1_x = AQ_x + BQ_x phiQ_x Delta t
790	! qsatsrf_w = beta qsat(Ts_w) qsatsrf_x = beta qsat(Ts_x)
791	! qsurf_w = (1-beta) q1_w + qsatsrf_w qsurf_x = (1-beta) q1_x + qsatsrf_x
792	! phiT_w = Kech_h_w C_p ( T1_w - Ts_w) phiT_x = Kech_h_x C_p ( T1_x - Ts_x)
793	! phiT_w = Kech_T_pw ( AcoefT_w - C_p Ts_w) phiT_x = Kech_T_px ( AcoefT_x - C_p Ts_x)
794	! phiq_w = Kech_h_w ( beta q1_w - qsatsrf_w) phiq_x = Kech_h_x ( beta q1_x - qsatsrf_x))
795	! phiq_w = Kech_Q_sw (beta AQ_w -qsatsrf_w) phiq_x = Kech_Q_sx (beta AQ_x -qsatsrf_x)
796	! phiq_w = Kech_h_w (q1_w - qsurf_w) phiq_x = Kech_h_x (q1_x - qsurf_x)
797	! phiT_b = sigw phiT_w + sigx phiT_x dphiT = phiT_w - phiT_x
798	! phiQ_b = sigw phiQ_w + sigx phiQ_x dphiQ = phiQ_w - phiQ_x
799	! Ts_b = sigw Ts_w + sigx Ts_x dTs = Ts_w - Ts_x
800	! qsatsrf_b = sigw qsatsrf_w + sigx qsatsrf_x
801	! C_p Ta = AcoefT + BcoefT phiT_b Delta t
802	! qa = AcoefQ + BcoefQ phiQ_b Delta t
803	! phiT_b = Kech_h C_p (Ta - Ts_b)
804	! phiQ_b = beta Kech_h (qa - qsatsrf_b)
805	! dTs = sqrt(tau)/I (dphit + L_v dphiq + dR)
806
807	!----------------------------------------------------------------------------
808	!
809	!!
810	sigx(:) = 1.-sigw(:)
811	AcoefT_b(1:knon) = AcoefT_x(1:knon) + sigw(1:knon)*dd_AT(1:knon)
812	AcoefQ_b(1:knon) = AQ_x(1:knon) + sigw(1:knon)*dd_AQ(1:knon)
813
814	! Compute the three qsat and dqsatdTs
815	! ---------------------------------------------
816	!! C_p(1:knon) = RCpd
817	!! L_v(1:knon) = RLvtt
818	IF (prt_level >=10 ) THEN
819	print *,' AAAA wx_pbl_check, C_p(j), qsat0(j), Ts0(j) : ', C_p(:), qsat0(:), Ts0(:)
820	ENDIF ! (prt_level >=10 )
821	!
822	DO j = 1, knon
823	zdelta = MAX(0.,SIGN(1.,RTT-Ts0_b9(j)))
824	zcvm5 = R5LES(1.-zdelta) + R5IESzdelta
825	qsat = R2ES*FOEEW(Ts0_b9(j),zdelta)/ypaprs(j,1)
826	qsat = MIN(0.5,qsat)
827	zcor = 1./(1.-RETV*qsat)
828	qsat01(j) = fqsatqsatzcor
829	!! dqsatdT0(j) = FOEDE(Ts0_b(j),zdelta,zcvm5,qsat0(j),zcor)/RLVTT ! jyg 20210116
830	!! dqsatdT0(j) = (RLvtt(1.-zdelta)+RLSTTzdelta)qsat0(j)/(RvTs0_b(j)*Ts0_b(j))
831	dqsatdT01(j) = fqsat*FOEDE(Ts0_b9(j),zdelta,zcvm5,qsat01(j),zcor)
832	ENDDO
833	!
834	!--------------------------------------------------------------------------------------------------
835	IF (prt_level >=10 ) THEN
836	!
837	DO j = 1, knon
838	!
839	print *,'wx_pbl_check: Kech_h, Kech_q ', Kech_h(j), Kech_q(j)
840	!
841	Ta(j) = (AcoefT(j) + BcoefT(j)phiT_b9(j)dtime)/C_p(j)
842	qa(j) = AcoefQ(j) + BcoefQ(j)phiQ_b9(j)dtime
843	print *, 'wx_pbl_check: j, Ta, qa ', Ta(j), qa(j)
844	!
845	qsat_bs(j) = qsat01(j) + dqsatdT01(j)*(Ts_b9(j)-Ts0_b9(j))
846	!
847	print *,'wx_pbl_check: qsat01, qsat_bs ', j,qsat01(j), qsat_bs(j)
848	!
849	Ts_x(j) = Ts_b9(j) - sigw(j)*dTs9(j)
850	Ts_w(j) = Ts_b9(j) + sigx(j)*dTs9(j)
851	print *, 'wx_pbl_check: j, Ts_b9, Ts_w, Ts_x ', j, Ts_b9(j), Ts_w(j), Ts_x(j)
852	!
853	qsat_x(j) = qsat0_x(j) + dqsatdT0_x(j)*(Ts_x(j)-Ts0_x(j))
854	qsat_w(j) = qsat0_w(j) + dqsatdT0_w(j)*(Ts_w(j)-Ts0_w(j))
855	!
856	print *,'wx_pbl_check: qsat0_w, qsat0_x, qsat_w, qsat_x ', qsat0_w(j), qsat0_x(j), qsat_w(j), qsat_x(j)
857	!
858	T1_x(j) = (AcoefT_x(j) + BcoefT_x(j)phiT_x9(j)dtime) / C_p(j)
859	T1_w(j) = (AcoefT_w(j) + BcoefT_w(j)phiT_w9(j)dtime) / C_p(j)
860	print *, 'wx_pbl_check: j, T1_w, T1_x ', j, T1_w(j), T1_x(j)
861	!
862	q1_x(j) = AQ_x(j) + BQ_x(j)phiQ_x9(j)dtime
863	q1_w(j) = AQ_w(j) + BQ_w(j)phiQ_w9(j)dtime
864	print *, 'wx_pbl_check: j, q1_w, q1_x ', j, q1_w(j), q1_x(j)
865	!
866	qsatsrf_x(j) = beta(j)*qsat_x(j)
867	qsatsrf_w(j) = beta(j)*qsat_w(j)
868	qsatsrf_b(j) = sigw(j)qsatsrf_w(j) + sigx(j)qsatsrf_x(j)
869	!
870	dqsatsrf1 = qsatsrf_w(j) - qsatsrf_x(j)
871	print *, 'wx_pbl_check: j, qsatsrf_w, qsatsrf_x, dqsatsrf1, dqsatsrf9 ', &
872	qsatsrf_w(j), qsatsrf_x(j), dqsatsrf1, dqsatsrf9(j)
873	!
874	qsurf_x(j) = (1-beta(j))*q1_x(j) + qsatsrf_x(j)
875	qsurf_w(j) = (1-beta(j))*q1_w(j) + qsatsrf_w(j)
876	print *, 'wx_pbl_check: j, qsurf_w, qsurf_x ', j, qsurf_w(j), qsurf_x(j)
877	!
878	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
879	! Test qsat01 = qsat0 et dqsatdT01 = dqsatdT0
880	!------------------------------------------------------------------------------------------------------
881	print *, 'wx_pbl_check: j, qsat01(j), qsat0(j) ', j, qsat01(j), qsat0(j)
882	print *, 'wx_pbl_check: j, dqsatdT01(j), dqsatdT0(j) ', j, dqsatdT01(j), dqsatdT0(j)
883	!
884	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
885	! Test Kexh_Q_sw = Kech_q_w/(1.-betaKech_q_wBcoefQ) Kexh_Q_sx = Kech_q_x/(1.-betaKech_q_xBcoefQ)
886	!------------------------------------------------------------------------------------------------------
887	Kech_Q_sx1 = Kech_q_x(j)/(1.-beta(j)Kech_q_x(j)BQ_x(j)*dtime)
888	Kech_Q_sw1 = Kech_q_w(j)/(1.-beta(j)Kech_q_w(j)BQ_w(j)*dtime)
889	print *, 'wx_pbl_check: j, Kech_Q_sx1, Kech_Q_sx(j)', j, Kech_Q_sx1, Kech_Q_sx(j)
890	print *, 'wx_pbl_check: j, Kech_Q_sw1, Kech_Q_sw(j)', j, Kech_Q_sw1, Kech_Q_sw(j)
891	!
892	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
893	! 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))
894	!-----------------------------------------------------
895	phiT_x1 = Kech_h_x(j)C_p(j)(T1_x(j)-Ts_x(j))
896	phiT_w1 = Kech_h_w(j)C_p(j)(T1_w(j)-Ts_w(j))
897	!
898	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
899	! 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))
900	!-----------------------------------------------------
901	phiT_x2 = Kech_T_px(j)(AcoefT_x(j)-C_p(j)Ts_x(j))
902	phiT_w2 = Kech_T_pw(j)(AcoefT_w(j)-C_p(j)Ts_w(j))
903	print *, 'wx_pbl_check: j, phiT_w1, phiT_w2, phiT_w9 ', j, phiT_w1, phiT_w2, phiT_w9(j)
904	print *, 'wx_pbl_check: j, phiT_x1, phiT_x2, phiT_x9 ', j, phiT_x1, phiT_x2, phiT_x9(j)
905	!
906	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
907	! Test phiq_w = Kech_q_w ( beta q1_w - qsatsrf_w) phiq_x = Kech_q_x ( beta q1_x - qsatsrf_x))
908	!--------------------------------------------------------------
909	phiq_x1 = Kech_q_x(j)( beta(j)q1_x(j) - qsatsrf_x(j))
910	phiq_w1 = Kech_q_w(j)( beta(j)q1_w(j) - qsatsrf_w(j))
911	!
912	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
913	! Test phiq_w = Kech_Q_sw (beta AQ_w -qsatsrf_w) phiq_x = Kech_Q_sx (beta AQ_x -qsatsrf_x)
914	!--------------------------------------------------------------
915	phiq_x2 = Kech_Q_sx(j)(beta(j)AQ_x(j) -qsatsrf_x(j))
916	phiq_w2 = Kech_Q_sw(j)(beta(j)AQ_w(j) -qsatsrf_w(j))
917	!
918	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
919	! Test phiq_w = Kech_q_w ( q1_w - qsurf_w) phiq_x = Kech_q_x ( q1_x - qsurf_x))
920	!--------------------------------------------------------------
921	phiq_x3 = Kech_q_x(j)*( q1_x(j) - qsurf_x(j))
922	phiq_w3 = Kech_q_w(j)*( q1_w(j) - qsurf_w(j))
923	print *, 'wx_pbl_check: j, phiQ_w1, phiQ_w2, phiQ_w3, phiQ_w9 ', j, phiQ_w1, phiQ_w2, phiQ_w3, phiQ_w9(j)
924	print *, 'wx_pbl_check: j, phiQ_x1, phiQ_x2, phiQ_x3, phiQ_x9 ', j, phiQ_x1, phiQ_x2, phiQ_x3, phiQ_x9(j)
925	!
926	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
927	! Test phiT_b = Kech_h C_p (Ta - Ts_b)
928	!--------------------------------------------------------------
929	phiT_b1 = Kech_h(j)C_p(j)(Ta(j) - Ts_b9(j))
930	print *, 'wx_pbl_check: j, phiT_b1, PhiT_b9 ', j, phiT_b1, PhiT_b9(j)
931	!
932	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
933	! Test phiQ_b = beta Kech_q (qa - qsat_bs)
934	!--------------------------------------------------------------
935	evap_pot = Kech_q(j)*(qa(j) - qsat_bs(j))
936	phiQ_b1 = beta(j)Kech_q(j)(qa(j) - qsat_bs(j))
937	print *, 'wx_pbl_check: j, beta, evap_pot, phiQ_b1, PhiQ_b9 ', j, beta(j), evap_pot, phiQ_b1, PhiQ_b9(j)
938	!
939	!
940	ENDDO ! j = 1, knon
941
942	ENDIF ! (prt_level >=10 )
943	!--------------------------------------------------------------------------------------------------
944
945	RETURN
946
947	END SUBROUTINE wx_pbl_check
948
949	SUBROUTINE wx_pbl_dts_check( knon, dtime, ypplay, ypaprs, &
950	sigw, beta, iflag_split, &
951	Ts0_b9, dTs09, &
952	qs_b9, Ts_b9, & ! yqsurf, Tsurf_new
953	dqsatsrf9, dTs9, delta_qsurf9, &
954	AcoefT_x, AcoefT_w, &
955	BcoefT_x, BcoefT_w, &
956	AcoefT0, AcoefQ0, BcoefT0, BcoefQ0, &
957	AcoefT, AcoefQ, BcoefT, BcoefQ, &
958	HTphiT_b, dd_HTphiT, HTphiQ_b, dd_HTphiQ, HTRn_b, dd_HTRn, &
959	phiT0_b9, dphiT09, phiQ0_b9, dphiQ09, Rn0_b9, dRn09, &
960	g_T, g_Q, &
961	Gamma_phiT, Gamma_phiQ, &
962	dTs_ins, dqsatsrf_ins, &
963	phiT_b9, phiQ_b9, &
964	phiT_x9, phiT_w9, &
965	phiQ_x9, phiQ_w9 &
966	)
967	!
968
969	USE wx_pbl_var_mod
970
971	USE print_control_mod, ONLY: prt_level,lunout
972	!
973	INCLUDE "YOMCST.h"
974	INCLUDE "FCTTRE.h"
975	INCLUDE "YOETHF.h"
976	!
977	INTEGER, INTENT(IN) :: knon ! number of grid cells
978	REAL, INTENT(IN) :: dtime ! time step size (s)
979	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypplay ! mid-layer pressure (Pa)
980	REAL, DIMENSION(knon,klev), INTENT(IN) :: ypaprs ! pressure at layer interfaces (pa)
981	REAL, DIMENSION(knon), INTENT(IN) :: sigw ! cold pools fractional area
982	REAL, DIMENSION(knon), INTENT(IN) :: beta ! aridity factor
983	INTEGER, INTENT(IN) :: iflag_split
984	REAL, DIMENSION(knon), INTENT(IN) :: Ts0_b9, dTs09
985	REAL, DIMENSION(knon), INTENT(IN) :: qs_b9, Ts_b9 ! yqsurf, Tsurf_new
986	REAL, DIMENSION(knon), INTENT(IN) :: dTs9, dqsatsrf9
987	REAL, DIMENSION(knon), INTENT(IN) :: delta_qsurf9
988	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT_x, AcoefT_w
989	REAL, DIMENSION(knon), INTENT(IN) :: BcoefT_x, BcoefT_w
990	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT0, AcoefQ0, BcoefT0, BcoefQ0
991	!
992	REAL, DIMENSION(knon), INTENT(IN) :: AcoefT, AcoefQ, BcoefT, BcoefQ
993	REAL, DIMENSION(knon), INTENT(IN) :: HTphiT_b, dd_HTphiT, HTphiQ_b, dd_HTphiQ, HTRn_b, dd_HTRn
994	REAL, DIMENSION(knon), INTENT(IN) :: phiT0_b9, dphiT09, phiQ0_b9, dphiQ09, Rn0_b9, dRn09
995	REAL, DIMENSION(knon), INTENT(IN) :: g_T, g_Q
996	REAL, DIMENSION(knon), INTENT(IN) :: Gamma_phiT, Gamma_phiQ
997	REAL, DIMENSION(knon), INTENT(IN) :: dTs_ins, dqsatsrf_ins
998	REAL, DIMENSION(knon), INTENT(IN) :: phiT_b9, phiQ_b9
999	REAL, DIMENSION(knon), INTENT(IN) :: phiT_x9, phiT_w9
1000	REAL, DIMENSION(knon), INTENT(IN) :: phiQ_x9, phiQ_w9
1001	!
1002	!! Local variables
1003	INTEGER :: j
1004	REAL, DIMENSION(knon) :: sigx ! fractional area of (x) region
1005	REAL, DIMENSION(knon) :: AcoefT_b, AcoefQ_b ! mean values of AcoefT and AcoefQ
1006	REAL :: zzt, zzq, zzqsat
1007	REAL :: zdelta, zcvm5, zcor, qsat
1008	REAL, DIMENSION(knon) :: qsat_w, qsat_x
1009	REAL, DIMENSION(knon) :: Ts_x, Ts_w, qs_x, qs_w
1010	REAL, DIMENSION(knon) :: T1_x, T1_w, q1_x, q1_w
1011	REAL, DIMENSION(knon) :: Rn_x, Rn_w
1012	REAL, DIMENSION(knon) :: Rn_b, dRn
1013	REAL, DIMENSION(knon) :: phiQ0_x, phiQ0_w
1014	REAL, DIMENSION(knon) :: Ta, qa
1015	REAL, DIMENSION(knon) :: err_phiT_w, err_phiT_x
1016	REAL, DIMENSION(knon) :: err_phiq_w, err_phiq_x
1017	REAL, DIMENSION(knon) :: err_phiT_b
1018	REAL, DIMENSION(knon) :: err_phiQ_b
1019	REAL, DIMENSION(knon) :: err2_phiT_b
1020	REAL :: T1A_x, T1A_w, q1A_x, q1A_w
1021	REAL :: qsatsrf_w, qsatsrf_x, qsatsrfb, qsbA
1022	REAL :: dphiT, dphiQ
1023	REAL :: dphiT_H, dphiQ_H
1024	REAL :: phiQ_pot
1025	REAL :: phiQ_w_m_phiQ0_w
1026	REAL :: phiQ_x_m_phiQ0_x
1027	REAL :: dphiQ_m_dphiQ0
1028	REAL :: dphiT_m_dphiT0
1029	REAL :: dRN_m_dRn0
1030	REAL :: phiTb_m_phiT0b
1031
1032	!----------------------------------------------------------------------------
1033	! Equations to be checked:
1034	! -----------------------
1035	! Input : Ts0_b, dTs0, Ts_b, dTs, qsatsrf_b, dqsatsrf,
1036	! phiT_b, phiQ_b, phiT_w, phiT_x, phiQ_w, phiQ_x,
1037	!
1038	! AcoefT, AcoefQ, AcoefT_w, AcoefQ_w, AcoefT_x, AcoefQ_x,
1039	! BcoefT, BcoefQ, BcoefT_w, BcoefQ_w, BcoefT_x, BcoefQ_x
1040	!
1041	! Ts_w = Ts_b + sigx dTs Ts_x = Ts_b - sigw dTs
1042	! T1_w = AcoefT_w + BcoefT_w phiT_w Delta t T1_x = AcoefT_x + BcoefT_x phiT_x Delta t
1043	! q1_w = AcoefQ_w + BcoefQ_w phiQ_w Delta t q1_x = AcoefQ_x + BcoefQ_x phiQ_x Delta t
1044	! phiT_w = Kech_h_w ( T1_w - Ts_w) phiT_x = Kech_h_x ( T1_x - Ts_x)
1045	! phiq_w = beta Kech_h_w ( q1_w - qsat(Ts_w)) phiq_x = beta Kech_h_x ( q1_x - qsat(Ts_x))
1046	! phiT_b = sigw phiT_w + sigx phiT_x dphiT = phiT_w - phiT_x
1047	! phiQ_b = sigw phiQ_w + sigx phiQ_x dphiQ = phiQ_w - phiQ_x
1048	! Ts_b = sigw Ts_w + sigx Ts_x dTs = Ts_w - Ts_x
1049	! Ta = AcoefT + BcoefT phiT_b Delta t
1050	! qa = AcoefQ + BcoefQ phiQ_b Delta t
1051	! phiT_b = Kech_h (Ta - Ts_b)
1052	! phiQ_b = beta Kech_h (qa - qsat(Ts_b))
1053	! dTs = sqrt(tau)/I (dphit + L_v dphiq + dR)
1054
1055	!----------------------------------------------------------------------------
1056	!
1057	!!
1058	sigx(:) = 1.-sigw(:)
1059	AcoefT_b(1:knon) = AcoefT_x(1:knon) + sigw(1:knon)*dd_AT(1:knon)
1060	AcoefQ_b(1:knon) = AQ_x(1:knon) + sigw(1:knon)*dd_AQ(1:knon)
1061
1062	IF (prt_level >=10 ) THEN
1063	print *,'->wx_pbl_dts_check, HTphiT_b, HTphiQ_b, HTRn_b ', &
1064	HTphiT_b, HTphiQ_b, HTRn_b
1065	print *,'->wx_pbl_dts_check, dd_HTphiT, dd_HTphiQ, dd_HTRn ', &
1066	dd_HTphiT, dd_HTphiQ, dd_HTRn
1067	ENDIF ! (prt_level >=10 )
1068	!
1069	! Compute the three qsat and dqsatdTs
1070	! ---------------------------------------------
1071	!! print *,' AAAA wx_pbl_dts_check, C_p(j), qsat0(j), Ts0(j) : ', &
1072	!! (C_p(j), qsat0(j), Ts0(j), j = 1,knon)
1073	!
1074	!
1075	!--------------------------------------------------------------------------------------------------
1076	IF (prt_level >=10 ) THEN
1077	!
1078	DO j = 1, knon
1079	Ts_x(j) = Ts_b9(j) - sigw(j)*dTs9(j)
1080	Ts_w(j) = Ts_b9(j) + sigx(j)*dTs9(j)
1081	print *, 'wx_pbl_dts_check: j, Ts_b9, Ts_w, Ts_x ', j, Ts_b9(j), Ts_w(j), Ts_x(j)
1082	!
1083	qsat_x(j) = qsat0_x(j) + dqsatdT0_x(j)*(Ts_x(j)-Ts0_x(j))
1084	qsat_w(j) = qsat0_w(j) + dqsatdT0_w(j)*(Ts_w(j)-Ts0_w(j))
1085	!
1086	T1_x(j) = (AcoefT_x(j) + BcoefT_x(j)phiT_x9(j)dtime) / C_p(j)
1087	T1_w(j) = (AcoefT_w(j) + BcoefT_w(j)phiT_w9(j)dtime) / C_p(j)
1088	print *, 'wx_pbl_dts_check: j, T1_w, T1_x ', j, T1_w(j), T1_x(j)
1089	!
1090	q1_x(j) = AQ_x(j) + BQ_x(j)phiQ_x9(j)dtime
1091	q1_w(j) = AQ_w(j) + BQ_w(j)phiQ_w9(j)dtime
1092	print *, 'wx_pbl_dts_check: j, q1_w, q1_x ', j, q1_w(j), q1_x(j)
1093	!
1094	Rn_x(j) = eps_1RsigmaT1_x(j)*4 - RsigmaTs_x(j)**4
1095	Rn_w(j) = eps_1RsigmaT1_w(j)*4 - RsigmaTs_w(j)**4
1096	Rn_b(j) = sigw(j)Rn_w(j) + sigx(j)Rn_x(j)
1097	dRn(j) = dRn09(j) - ( HTRn_b(j) &
1098	+(sigx(j)-sigw(j))*dd_HTRn(j) &
1099	-sigw(j)sigx(j)dd_HTRn(j)*dd_HTphiT(j)/HTphiT_b(j) &
1100	)*(dTs9(j)-dTs09(j)) &
1101	+ dd_HTRn(j)/HTphiT_b(j)*(phiT_b9(j)-phiT0_b9(j))
1102	!
1103	print ,'wx_pbl_dts_check, dphiT, L_vdphiQ, dRn, dTs ', &
1104	phiT_w9(j)-phiT_x9(j), L_v(j)*(phiQ_w9(j)-phiQ_x9(j)), dRn(j), dTs9(j)
1105	!
1106	phiQ0_x(j) = PhiQ0_b9(j) - sigw(j)*dphiQ09(j)
1107	phiQ0_w(j) = PhiQ0_b9(j) + sigx(j)*dphiQ09(j)
1108	!
1109	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1110	! Test phiQ_w-phiQ0_w = -betaKech_Q_swdqsatdT_w*(Ts_w-Ts0_w)
1111	!--------------------------------------------------------------
1112	print *,'wx_pbl_dts_check: beta(j), Kech_Q_sw(j), dqsatdT0_w(j), Ts_w(j), Ts0_w(j) ', &
1113	beta(j), Kech_Q_sw(j), dqsatdT0_w(j), Ts_w(j), Ts0_w(j)
1114	phiQ_w_m_phiQ0_w = -beta(j)Kech_Q_sw(j)dqsatdT0_w(j)*(Ts_w(j)-Ts0_w(j))
1115	print *,'wx_pbl_dts_check: j, phiQ_w9-phiQ0_w, phiQ_w_m_phiQ0_w ', &
1116	j, phiQ_w9(j)-phiQ0_w(j), phiQ_w_m_phiQ0_w
1117	!
1118	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1119	! Test phiQ_x-phiQ0_x = -betaKech_Q_sxdqsatdT_x*(Ts_x-Ts0_x)
1120	!--------------------------------------------------------------
1121	phiQ_x_m_phiQ0_x = -beta(j)Kech_Q_sx(j)dqsatdT0_x(j)*(Ts_x(j)-Ts0_x(j))
1122	print *,'wx_pbl_dts_check: j, phiQ_x9-phiQ0_x, phiQ_x_m_phiQ0_x ', &
1123	j, phiQ_x9(j)-phiQ0_x(j), phiQ_x_m_phiQ0_x
1124	!
1125	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1126	! Test dphiT-dphiT0 = -(HTphiT_b+(sigx-sigw)dd_HTphiT)(dTs-dTs0) - dd_HTphiT*(Ts_b-Ts0_b)
1127	!-------------------------------------------------------------------------------------------
1128	dphiT = phiT_w9(j) - phiT_x9(j)
1129	dphiT_m_dphiT0 = -(HTphiT_b(j)+(sigx(j)-sigw(j))dd_HTphiT(j))(dTs9(j)-dTs09(j)) &
1130	- dd_HTphiT(j)*(Ts_b9(j)-Ts0_b9(j))
1131	print *,'wx_pbl_dts_check: j, dphiT-dphiT09, dphiT_m_dphiT0 ',j, dphiT-dphiT09(j), dphiT_m_dphiT0
1132	!
1133	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1134	! Test dphiQ-dphiQ0 = -(HTphiQ_b+(sigx-sigw)dd_HTphiQ)(dTs-dTs0) - dd_HTphiQ*(Ts_b-Ts0_b)
1135	!-------------------------------------------------------------------------------------------
1136	dphiQ = phiQ_w9(j) - phiQ_x9(j)
1137	dphiQ_m_dphiQ0 = -(HTphiQ_b(j)+(sigx(j)-sigw(j))dd_HTphiQ(j))(dTs9(j)-dTs09(j)) &
1138	- dd_HTphiQ(j)*(Ts_b9(j)-Ts0_b9(j))
1139	print *,'wx_pbl_dts_check: j, dphiQ-dphiQ09, dphiQ_m_dphiQ0 ',j, dphiQ-dphiQ09(j), dphiQ_m_dphiQ0
1140	!
1141	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1142	! Test dRn-dRn0 = -(HTRn_b+(sigx-sigw)dd_HTRn)(dTs-dTs0) - dd_HTRn*(Ts_b-Ts0_b)
1143	!-------------------------------------------------------------------------------------------
1144	dRn_m_dRn0 = -(HTRn_b(j)+(sigx(j)-sigw(j))dd_HTRn(j))(dTs9(j)-dTs09(j)) &
1145	- dd_HTRn(j)*(Ts_b9(j)-Ts0_b9(j))
1146	print *,'wx_pbl_dts_check: j, dRn-dRn09, dRn_m_dRn0 ',j, dRn-dRn09(j), dRn_m_dRn0
1147	!
1148	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1149	! Test phiT_b-phiT0_b = -sigxsigwdd_HTphiT(dTs-dTs0) - HTphiT_b(Ts_b-Ts0_b)
1150	!-------------------------------------------------------------------------------
1151	phiTb_m_phiT0b = -sigx(j)sigw(j)dd_HTphiT(j)(dTs9(j)-dTs09(j)) - HTphiT_b(j)(Ts_b9(j)-Ts0_b9(j))
1152	print *,'wx_pbl_dts_check: j, phiT_b9-phiT0_b9, phiTb_m_phiT0b ',j ,phiT_b9(j)-phiT0_b9(j), phiTb_m_phiT0b
1153	!
1154	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1155	! Test phiT_w, phiT_x, dphiT from HTphiT
1156	!------------------------------------------
1157	! phiT_w = Kech_h_w C_p ( T1_w - Ts_w) phiT_x = Kech_h_x C_p ( T1_x - Ts_x)
1158	err_phiT_x(j) = Kech_h_x(j)C_p(j)(T1_x(j) - Ts_x(j)) - phiT_x9(j)
1159	err_phiT_w(j) = Kech_h_w(j)C_p(j)(T1_w(j) - Ts_w(j)) - phiT_w9(j)
1160	print *, 'wx_pbl_dts_check: j, phiT_w9, phiT_x9, err_phiT_w, err_phiT_x ', &
1161	j, phiT_w9(j), phiT_x9(j), err_phiT_w(j), err_phiT_x(j)
1162	dphiT = phiT_w9(j) - phiT_x9(j)
1163	dphiT_H = dphiT09(j) - ( HTphiT_b(j) &
1164	+(sigx(j)-sigw(j))*dd_HTphiT(j) &
1165	-sigw(j)sigx(j)dd_HTphiT(j)*dd_HTphiT(j)/HTphiT_b(j) &
1166	)*(dTs9(j)-dTs09(j)) &
1167	+ dd_HTphiT(j)/HTphiT_b(j)*(phiT_b9(j)-phiT0_b9(j))
1168	print *,'wx_pbl_dts_check: j, dphiT, dphiT_H ', j, dphiT, dphiT_H
1169
1170	!
1171	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1172	! Test phiq_w, phiq_x, dphiq from HTphiq
1173	!------------------------------------------
1174	!
1175	! phiq_w = beta Kech_q_w ( q1_w - qsat(Ts_w)) phiq_x = beta Kech_q_x ( q1_x - qsat(Ts_x))
1176	err_phiq_x(j) = beta(j)Kech_q_x(j)( q1_x(j) - qsat_x(j)) - phiq_x9(j)
1177	err_phiq_w(j) = beta(j)Kech_q_w(j)( q1_w(j) - qsat_w(j)) - phiq_w9(j)
1178	dphiQ = phiQ_w9(j) - phiQ_x9(j)
1179	dphiQ_H = dphiQ09(j) - ( HTphiQ_b(j) &
1180	+(sigx(j)-sigw(j))*dd_HTphiQ(j) &
1181	-sigw(j)sigx(j)dd_HTphiQ(j)*dd_HTphiT(j)/HTphiT_b(j) &
1182	)*(dTs9(j)-dTs09(j)) &
1183	+ dd_HTphiQ(j)/HTphiT_b(j)*(phiT_b9(j)-phiT0_b9(j))
1184	print *,'wx_pbl_dts_check: j, dphiQ, dphiQ_H ', j, dphiQ, dphiQ_H
1185	!
1186	! phiT_b = sigw phiT_w + sigx phiT_x dphiT = phiT_w - phiT_x
1187	err_phiT_b(j) = sigw(j)phiT_w9(j) + sigx(j)phiT_x9(j) - phiT_b9(j)
1188	!
1189	! phiQ_b = sigw phiQ_w + sigx phiQ_x dphiQ = phiQ_w - phiQ_x
1190	err_phiQ_b(j) = sigw(j)phiQ_w9(j) + sigx(j)phiQ_x9(j) - phiQ_b9(j)
1191	!
1192	! Ta = AcoefT + BcoefT phiT_b Delta t
1193	! phiT_b = Kech_h C_p (Ta - Ts_b)
1194	Ta(j) = (AcoefT(j) + BcoefT(j)phiT_b9(j)dtime) / C_p(j)
1195	err2_phiT_b(j) = Kech_h(j)C_p(j)(Ta(j) - Ts_b9(j)) - phiT_b9(j)
1196	print *, 'wx_pbl_dts_check: j, Ta, phiT_b9, err2_phiT_b ', &
1197	j, Ta(j), phiT_b9(j), err2_phiT_b(j)
1198	!
1199	ENDDO ! j = 1, knon
1200
1201	ENDIF ! (prt_level >=10 )
1202	!--------------------------------------------------------------------------------------------------
1203	RETURN
1204
1205	END SUBROUTINE wx_pbl_dts_check
1206
1207	SUBROUTINE wx_evappot(knon, q1, Ts, evap_pot)
1208
1209	USE wx_pbl_var_mod
1210
1211	INTEGER, INTENT(IN) :: knon ! number of grid cells
1212	REAL, DIMENSION(knon), INTENT(IN) :: q1 ! specific humidity in layer 1
1213	REAL, DIMENSION(knon), INTENT(IN) :: Ts ! surface temperature
1214	!
1215	REAL, DIMENSION(knon), INTENT(OUT) :: evap_pot ! potential evaporation
1216	!
1217	INTEGER :: j
1218	REAL :: qsat_bs
1219	!
1220	DO j = 1,knon
1221	evap_pot(j) = Kech_q(j)(qsat0(j)+dqsatdT0(j)(Ts(j)-Ts0(j))-q1(j))
1222	!
1223	qsat_bs = qsat0(j)+dqsatdT0(j)*(Ts(j)-Ts0(j))
1224	!! print *,'wx_evappot : Kech_q, qsat_bs, qa, evap_pot ', Kech_q(j), qsat_bs, q1(j), evap_pot(j)
1225	ENDDO
1226	!
1227	RETURN
1228	END SUBROUTINE wx_evappot
1229
1230	END MODULE wx_pbl_mod
1231

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