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ice_sursat_mod.F90 @ 5456

Last change on this file since 5456 was 4669, checked in by Laurent Fairhead, 16 months ago
Merged with trunk revision 4586 corresponding to june 2023 testing
File size: 32.8 KB

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1	MODULE ice_sursat_mod
2
3	IMPLICIT NONE
4
5	!--flight inventories
6	!
7	REAL, SAVE, ALLOCATABLE :: flight_m(:,:) !--flown distance m s-1 per cell
8	!$OMP THREADPRIVATE(flight_m)
9	REAL, SAVE, ALLOCATABLE :: flight_h2o(:,:) !--emitted kg H2O s-1 per cell
10	!$OMP THREADPRIVATE(flight_h2o)
11	!
12	!--Fixed Parameters
13	!
14	!--safety parameters for ERF function
15	REAL, PARAMETER :: erf_lim = 5., eps = 1.e-10
16	!
17	!--Tuning parameters (and their default values)
18	!
19	!--chi gère la répartition statistique de la longueur des frontières
20	! entre les zones nuages et ISSR/ciel clair sous-saturé. Gamme de valeur :
21	! chi > 1, je n'ai pas regardé de limite max (pour chi = 1, la longueur de
22	! la frontière entre ne nuage et l'ISSR est proportionnelle à la
23	! répartition ISSR/ciel clair sous-sat dans la maille, i.e. il n'y a pas
24	! de favorisation de la localisation de l'ISSR près de nuage. Pour chi = inf,
25	! le nuage n'est en contact qu'avec de l'ISSR, quelle que soit la taille
26	! de l'ISSR dans la maille.)
27	!
28	!--l_turb est la longueur de mélange pour la turbulence.
29	! dans les tests, ça n'a jamais été modifié pour l'instant.
30	!
31	!--tun_N est le paramètre qui contrôle l'importance relative de N_2 par rapport à N_1.
32	! La valeur est comprise entre 1 et 2 (tun_N = 1 => N_1 = N_2)
33	!
34	!--tun_ratqs : paramètre qui modifie ratqs en fonction de la valeur de
35	! alpha_cld selon la formule ratqs_new = ratqs_old / ( 1 + tun_ratqs *
36	! alpha_cld ). Dans le rapport il est appelé beta. Il varie entre 0 et 5
37	! (tun_ratqs = 0 => pas de modification de ratqs).
38	!
39	!--gamma0 and Tgamma: define RHcrit limit above which heterogeneous freezing occurs as a function of T
40	!--Karcher and Lohmann (2002)
41	!--gamma = 2.583 - t / 207.83
42	!--Ren and MacKenzie (2005) reused by Kärcher
43	!--gamma = 2.349 - t / 259.0
44	!
45	!--N_cld: number of clouds in cell (needs to be parametrized at some point)
46	!
47	!--contrail cross section: typical value found in Freudenthaler et al, GRL, 22, 3501-3504, 1995
48	!--in m2, 1000x200 = 200 000 m2 after 15 min
49	!
50	REAL, SAVE :: chi=1.1, l_turb=50.0, tun_N=1.3, tun_ratqs=3.0
51	REAL, SAVE :: gamma0=2.349, Tgamma=259.0, N_cld=100, contrail_cross_section=200000.0
52	!$OMP THREADPRIVATE(chi,l_turb,tun_N,tun_ratqs,gamma0,Tgamma,N_cld,contrail_cross_section)
53
54	CONTAINS
55
56	!*******************************************************************
57	!
58	SUBROUTINE ice_sursat_init()
59
60	USE print_control_mod, ONLY: lunout
61	USE ioipsl_getin_p_mod, ONLY : getin_p
62
63	IMPLICIT NONE
64
65	CALL getin_p('flag_chi',chi)
66	CALL getin_p('flag_l_turb',l_turb)
67	CALL getin_p('flag_tun_N',tun_N)
68	CALL getin_p('flag_tun_ratqs',tun_ratqs)
69	CALL getin_p('gamma0',gamma0)
70	CALL getin_p('Tgamma',Tgamma)
71	CALL getin_p('N_cld',N_cld)
72	CALL getin_p('contrail_cross_section',contrail_cross_section)
73
74	WRITE(lunout,*) 'Parameters for ice_sursat param'
75	WRITE(lunout,*) 'flag_chi = ', chi
76	WRITE(lunout,*) 'flag_l_turb = ', l_turb
77	WRITE(lunout,*) 'flag_tun_N = ', tun_N
78	WRITE(lunout,*) 'flag_tun_ratqs = ', tun_ratqs
79	WRITE(lunout,*) 'gamma0 = ', gamma0
80	WRITE(lunout,*) 'Tgamma = ', Tgamma
81	WRITE(lunout,*) 'N_cld = ', N_cld
82	WRITE(lunout,*) 'contrail_cross_section = ', contrail_cross_section
83
84	END SUBROUTINE ice_sursat_init
85
86	!*******************************************************************
87	!
88	SUBROUTINE airplane(debut,pphis,pplay,paprs,t_seri)
89
90	USE dimphy
91	USE mod_grid_phy_lmdz, ONLY: klon_glo
92	USE geometry_mod, ONLY: cell_area
93	USE phys_cal_mod, ONLY : mth_cur
94	USE mod_phys_lmdz_mpi_data, ONLY: is_mpi_root
95	USE mod_phys_lmdz_omp_data, ONLY: is_omp_root
96	USE mod_phys_lmdz_para, ONLY: scatter, bcast
97	USE print_control_mod, ONLY: lunout
98
99	IMPLICIT NONE
100
101	INCLUDE "YOMCST.h"
102	INCLUDE 'netcdf.inc'
103
104	!--------------------------------------------------------
105	!--input variables
106	!--------------------------------------------------------
107	LOGICAL, INTENT(IN) :: debut
108	REAL, INTENT(IN) :: pphis(klon), pplay(klon,klev), paprs(klon,klev+1), t_seri(klon,klev)
109
110	!--------------------------------------------------------
111	! ... Local variables
112	!--------------------------------------------------------
113
114	CHARACTER (LEN=20) :: modname='airplane_mod'
115	INTEGER :: i, k, kori, iret, varid, error, ncida, klona
116	INTEGER,SAVE :: nleva, ntimea
117	!$OMP THREADPRIVATE(nleva,ntimea)
118	REAL, ALLOCATABLE :: pkm_airpl_glo(:,:,:) !--km/s
119	REAL, ALLOCATABLE :: ph2o_airpl_glo(:,:,:) !--molec H2O/cm3/s
120	REAL, ALLOCATABLE, SAVE :: zmida(:), zinta(:)
121	REAL, ALLOCATABLE, SAVE :: pkm_airpl(:,:,:)
122	REAL, ALLOCATABLE, SAVE :: ph2o_airpl(:,:,:)
123	!$OMP THREADPRIVATE(pkm_airpl,ph2o_airpl,zmida,zinta)
124	REAL :: zalt(klon,klev+1)
125	REAL :: zrho, zdz(klon,klev), zfrac
126
127	!
128	IF (debut) THEN
129	!--------------------------------------------------------------------------------
130	! ... Open the file and read airplane emissions
131	!--------------------------------------------------------------------------------
132	!
133	IF (is_mpi_root .AND. is_omp_root) THEN
134	!
135	iret = nf_open('aircraft_phy.nc', 0, ncida)
136	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to open aircraft_phy.nc file',1)
137	! ... Get lengths
138	iret = nf_inq_dimid(ncida, 'time', varid)
139	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get time dimid in aircraft_phy.nc file',1)
140	iret = nf_inq_dimlen(ncida, varid, ntimea)
141	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get time dimlen aircraft_phy.nc file',1)
142	iret = nf_inq_dimid(ncida, 'vector', varid)
143	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get vector dimid aircraft_phy.nc file',1)
144	iret = nf_inq_dimlen(ncida, varid, klona)
145	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get vector dimlen aircraft_phy.nc file',1)
146	iret = nf_inq_dimid(ncida, 'lev', varid)
147	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get lev dimid aircraft_phy.nc file',1)
148	iret = nf_inq_dimlen(ncida, varid, nleva)
149	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get lev dimlen aircraft_phy.nc file',1)
150	!
151	IF ( klona /= klon_glo ) THEN
152	WRITE(lunout,*) 'klona & klon_glo =', klona, klon_glo
153	CALL abort_physic(modname,'problem klon in aircraft_phy.nc file',1)
154	ENDIF
155	!
156	IF ( ntimea /= 12 ) THEN
157	WRITE(lunout,*) 'ntimea=', ntimea
158	CALL abort_physic(modname,'problem ntime<>12 in aircraft_phy.nc file',1)
159	ENDIF
160	!
161	ALLOCATE(zmida(nleva), STAT=error)
162	IF (error /= 0) CALL abort_physic(modname,'problem to allocate zmida',1)
163	ALLOCATE(pkm_airpl_glo(klona,nleva,ntimea), STAT=error)
164	IF (error /= 0) CALL abort_physic(modname,'problem to allocate pkm_airpl_glo',1)
165	ALLOCATE(ph2o_airpl_glo(klona,nleva,ntimea), STAT=error)
166	IF (error /= 0) CALL abort_physic(modname,'problem to allocate ph2o_airpl_glo',1)
167	!
168	iret = nf_inq_varid(ncida, 'lev', varid)
169	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get lev dimid aircraft_phy.nc file',1)
170	iret = nf_get_var_double(ncida, varid, zmida)
171	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to read zmida file',1)
172	!
173	iret = nf_inq_varid(ncida, 'emi_co2_aircraft', varid) !--CO2 as a proxy for m flown -
174	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get emi_distance dimid aircraft_phy.nc file',1)
175	iret = nf_get_var_double(ncida, varid, pkm_airpl_glo)
176	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to read pkm_airpl file',1)
177	!
178	iret = nf_inq_varid(ncida, 'emi_h2o_aircraft', varid)
179	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to get emi_h2o_aircraft dimid aircraft_phy.nc file',1)
180	iret = nf_get_var_double(ncida, varid, ph2o_airpl_glo)
181	IF (iret /= NF_NOERR) CALL abort_physic(modname,'problem to read ph2o_airpl file',1)
182	!
183	ENDIF !--is_mpi_root and is_omp_root
184	!
185	CALL bcast(nleva)
186	CALL bcast(ntimea)
187	!
188	IF (.NOT.ALLOCATED(zmida)) ALLOCATE(zmida(nleva), STAT=error)
189	IF (.NOT.ALLOCATED(zinta)) ALLOCATE(zinta(nleva+1), STAT=error)
190	!
191	ALLOCATE(pkm_airpl(klon,nleva,ntimea))
192	ALLOCATE(ph2o_airpl(klon,nleva,ntimea))
193	!
194	ALLOCATE(flight_m(klon,klev))
195	ALLOCATE(flight_h2o(klon,klev))
196	!
197	CALL bcast(zmida)
198	zinta(1)=0.0 !--surface
199	DO k=2, nleva
200	zinta(k) = (zmida(k-1)+zmida(k))/2.0*1000.0 !--conversion from km to m
201	ENDDO
202	zinta(nleva+1)=zinta(nleva)+(zmida(nleva)-zmida(nleva-1))*1000.0 !--extrapolation for last interface
203	!print *,'zinta=', zinta
204	!
205	CALL scatter(pkm_airpl_glo,pkm_airpl)
206	CALL scatter(ph2o_airpl_glo,ph2o_airpl)
207	!
208	!$OMP MASTER
209	IF (is_mpi_root .AND. is_omp_root) THEN
210	DEALLOCATE(pkm_airpl_glo)
211	DEALLOCATE(ph2o_airpl_glo)
212	ENDIF !--is_mpi_root
213	!$OMP END MASTER
214
215	ENDIF !--debut
216	!
217	!--compute altitude of model level interfaces
218	!
219	DO i = 1, klon
220	zalt(i,1)=pphis(i)/RG !--in m
221	ENDDO
222	!
223	DO k=1, klev
224	DO i = 1, klon
225	zrho=pplay(i,k)/t_seri(i,k)/RD
226	zdz(i,k)=(paprs(i,k)-paprs(i,k+1))/zrho/RG
227	zalt(i,k+1)=zalt(i,k)+zdz(i,k) !--in m
228	ENDDO
229	ENDDO
230	!
231	!--vertical reprojection
232	!
233	flight_m(:,:)=0.0
234	flight_h2o(:,:)=0.0
235	!
236	DO k=1, klev
237	DO kori=1, nleva
238	DO i=1, klon
239	!--fraction of layer kori included in layer k
240	zfrac=max(0.0,min(zalt(i,k+1),zinta(kori+1))-max(zalt(i,k),zinta(kori)))/(zinta(kori+1)-zinta(kori))
241	!--reproject
242	flight_m(i,k)=flight_m(i,k) + pkm_airpl(i,kori,mth_cur)*zfrac
243	!--reproject
244	flight_h2o(i,k)=flight_h2o(i,k) + ph2o_airpl(i,kori,mth_cur)*zfrac
245	ENDDO
246	ENDDO
247	ENDDO
248	!
249	DO k=1, klev
250	DO i=1, klon
251	!--molec.cm-3.s-1 / (molec/mol) * kg CO2/mol * m2 * m * cm3/m3 / (kg CO2/m) => m s-1 per cell
252	flight_m(i,k)=flight_m(i,k)/RNAVO44.e-3cell_area(i)zdz(i,k)1.e6/16.37e-3
253	flight_m(i,k)=flight_m(i,k)*100.0 !--x100 to augment signal to noise
254	!--molec.cm-3.s-1 / (molec/mol) * kg H2O/mol * m2 * m * cm3/m3 => kg H2O s-1 per cell
255	flight_h2o(i,k)=flight_h2o(i,k)/RNAVO18.e-3cell_area(i)zdz(i,k)1.e6
256	ENDDO
257	ENDDO
258	!
259	END SUBROUTINE airplane
260
261	!********************************************************************
262	! simple routine to initialise flight_m and test a flight corridor
263	!--Olivier Boucher - 2021
264	!
265	SUBROUTINE flight_init()
266	USE dimphy
267	USE geometry_mod, ONLY: cell_area, latitude_deg, longitude_deg
268	IMPLICIT NONE
269	INTEGER :: i
270
271	ALLOCATE(flight_m(klon,klev))
272	ALLOCATE(flight_h2o(klon,klev))
273	!
274	flight_m(:,:) = 0.0 !--initialisation
275	flight_h2o(:,:) = 0.0 !--initialisation
276	!
277	DO i=1, klon
278	IF (latitude_deg(i).GE.42.0.AND.latitude_deg(i).LE.48.0) THEN
279	flight_m(i,38) = 50000.0 !--5000 m of flight/second in grid cell x 10 scaling
280	ENDIF
281	ENDDO
282
283	RETURN
284	END SUBROUTINE flight_init
285
286	!*******************************************************************
287	!--Routine to deal with ice supersaturation
288	!--Determines the respective fractions of unsaturated clear sky, ice supersaturated clear sky and cloudy sky
289	!--Diagnoses regions prone for non-persistent and persistent contrail formation
290	!
291	!--Audran Borella - 2021
292	!
293	SUBROUTINE ice_sursat(pplay, dpaprs, dtime, i, k, t, q, gamma_ss, &
294	qsat, t_actuel, rneb_seri, ratqs, rneb, qincld, &
295	rnebss, qss, Tcontr, qcontr, qcontr2, fcontrN, fcontrP)
296	!
297	USE dimphy
298	USE print_control_mod, ONLY: prt_level, lunout
299	USE phys_state_var_mod, ONLY: pbl_tke, t_ancien
300	USE phys_local_var_mod, ONLY: N1_ss, N2_ss
301	USE phys_local_var_mod, ONLY: drneb_sub, drneb_con, drneb_tur, drneb_avi
302	!! USE phys_local_var_mod, ONLY: Tcontr, qcontr, fcontrN, fcontrP
303	USE indice_sol_mod, ONLY: is_ave
304	USE geometry_mod, ONLY: cell_area
305	!
306	IMPLICIT NONE
307	INCLUDE "YOMCST.h"
308	INCLUDE "YOETHF.h"
309	INCLUDE "FCTTRE.h"
310	INCLUDE "clesphys.h"
311
312	!
313	! Input
314	! Beware: this routine works on a gridpoint!
315	!
316	REAL, INTENT(IN) :: pplay ! layer pressure (Pa)
317	REAL, INTENT(IN) :: dpaprs ! layer delta pressure (Pa)
318	REAL, INTENT(IN) :: dtime ! intervalle du temps (s)
319	REAL, INTENT(IN) :: t ! température advectée (K)
320	REAL, INTENT(IN) :: qsat ! vapeur de saturation
321	REAL, INTENT(IN) :: t_actuel ! temperature actuelle de la maille (K)
322	REAL, INTENT(IN) :: rneb_seri ! fraction nuageuse en memoire
323	INTEGER, INTENT(IN) :: i, k
324	!
325	! Input/output
326	!
327	REAL, INTENT(INOUT) :: q ! vapeur de la maille (=zq)
328	REAL, INTENT(INOUT) :: ratqs ! determine la largeur de distribution de vapeur
329	REAL, INTENT(INOUT) :: Tcontr, qcontr, qcontr2, fcontrN, fcontrP
330	!
331	! Output
332	!
333	REAL, INTENT(OUT) :: gamma_ss !
334	REAL, INTENT(OUT) :: rneb ! cloud fraction
335	REAL, INTENT(OUT) :: qincld ! in-cloud total water
336	REAL, INTENT(OUT) :: rnebss ! ISSR fraction
337	REAL, INTENT(OUT) :: qss ! in-ISSR total water
338	!
339	! Local
340	!
341	REAL PI
342	PARAMETER (PI=4.*ATAN(1.))
343	REAL rnebclr, gamma_prec
344	REAL qclr, qvc, qcld, qi
345	REAL zrho, zdz, zrhodz
346	REAL pdf_N, pdf_N1, pdf_N2
347	REAL pdf_a, pdf_b
348	REAL pdf_e1, pdf_e2, pdf_k
349	REAL drnebss, drnebclr, dqss, dqclr, sum_rneb_rnebss, dqss_avi
350	REAL V_cell !--volume of the cell
351	REAL M_cell !--dry mass of the cell
352	REAL tke, sig, L_tur, b_tur, q_eq
353	REAL V_env, V_cld, V_ss, V_clr
354	REAL zcor
355	!
356	!--more local variables for diagnostics
357	!--imported from YOMCST.h
358	!--eps_w = 0.622 = ratio of molecular masses of water and dry air (kg H2O kg air -1)
359	!--RCPD = 1004 J kg air−1 K−1 = the isobaric heat capacity of air
360	!--values from Schumann, Meteorol Zeitschrift, 1996
361	!--EiH2O = 1.25 / 2.24 / 8.94 kg H2O / kg fuel for kerosene / methane / dihydrogen
362	!--Qheat = 43. / 50. / 120. MJ / kg fuel for kerosene / methane / dihydrogen
363	REAL, PARAMETER :: EiH2O=1.25 !--emission index of water vapour for kerosene (kg kg-1)
364	REAL, PARAMETER :: Qheat=43.E6 !--specific combustion heat for kerosene (J kg-1)
365	REAL, PARAMETER :: eta=0.3 !--average propulsion efficiency of the aircraft
366	!--Gcontr is the slope of the mean phase trajectory in the turbulent exhaust field on an absolute
367	!--temperature versus water vapor partial pressure diagram. G has the unit of Pa K−1. Rap et al JGR 2010.
368	REAL :: Gcontr
369	!--Tcontr = critical temperature for contrail formation (T_LM in Schumann 1996, Eq 31 in appendix 2)
370	!--qsatliqcontr = e_L(T_LM) in Schumann 1996 but expressed in specific humidity (kg kg humid air-1)
371	REAL :: qsatliqcontr
372
373	! Initialisations
374	zrho = pplay / t / RD !--dry density kg m-3
375	zrhodz = dpaprs / RG !--dry air mass kg m-2
376	zdz = zrhodz / zrho !--cell thickness m
377	V_cell = zdz * cell_area(i) !--cell volume m3
378	M_cell = zrhodz * cell_area(i) !--cell dry air mass kg
379	!
380	! Recuperation de la memoire sur la couverture nuageuse
381	rneb = rneb_seri
382	!
383	! Ajout des émissions de H2O dues à l'aviation
384	! q is the specific humidity (kg/kg humid air) hence the complicated equation to update q
385	! qnew = ( m_humid_air * qold + dm_H2O ) / ( m_humid_air + dm_H2O )
386	! = ( m_dry_air * qold + dm_h2O * (1-qold) ) / (m_dry_air + dm_H2O * (1-qold) )
387	! The equation is derived by writing m_humid_air = m_dry_air + m_H2O = m_dry_air / (1-q)
388	! flight_h2O is in kg H2O / s / cell
389	!
390	IF (ok_plane_h2o) THEN
391	q = ( M_cellq + flight_h2o(i,k)dtime(1.-q) ) / (M_cell + flight_h2o(i,k)dtime*(1.-q) )
392	ENDIF
393	!
394	!--Estimating gamma
395	gamma_ss = MAX(1.0, gamma0 - t_actuel/Tgamma)
396	!gamma_prec = MAX(1.0, gamma0 - t_ancien(i,k)/Tgamma) !--formulation initiale d Audran
397	gamma_prec = MAX(1.0, gamma0 - t/Tgamma) !--autre formulation possible basée sur le T du pas de temps
398	!
399	! Initialisation de qvc : q_sat du pas de temps precedent
400	!qvc = R2ES*FOEEW(t_ancien(i,k),1.)/pplay !--formulation initiale d Audran
401	qvc = R2ES*FOEEW(t,1.)/pplay !--autre formulation possible basée sur le T du pas de temps
402	qvc = min(0.5,qvc)
403	zcor = 1./(1.-RETV*qvc)
404	qvc = qvc*zcor
405	!
406	! Modification de ratqs selon formule proposee : ksi_new = ksi_old/(1+beta*alpha_cld)
407	ratqs = ratqs / (tun_ratqs*rneb_seri + 1.)
408	!
409	! Calcul de N
410	pdf_k = -sqrt(log(1.+ratqs**2.))
411	pdf_a = log(qvc/q)/(pdf_k*sqrt(2.))
412	pdf_b = pdf_k/(2.*sqrt(2.))
413	pdf_e1 = pdf_a+pdf_b
414	IF (abs(pdf_e1).GE.erf_lim) THEN
415	pdf_e1 = sign(1.,pdf_e1)
416	pdf_N = max(0.,sign(rneb,pdf_e1))
417	ELSE
418	pdf_e1 = erf(pdf_e1)
419	pdf_e1 = 0.5*(1.+pdf_e1)
420	pdf_N = max(0.,rneb/pdf_e1)
421	ENDIF
422	!
423	! On calcule ensuite N1 et N2. Il y a deux cas : N > 1 et N <= 1
424	! Cas 1 : N > 1. N'arrive en theorie jamais, c'est une barriere
425	! On perd la memoire sur la temperature (sur qvc) pour garder
426	! celle sur alpha_cld
427	IF (pdf_N.GT.1.) THEN
428	! On inverse alpha_cld = int_qvc^infty P(q) dq
429	! pour determiner qvc = f(alpha_cld)
430	! On approxime en serie entiere erf-1(x)
431	qvc = 2.*rneb-1.
432	qvc = qvc + PI/12.qvc3 + 7.PI*2/480.qvc**5 &
433	+ 127.PI3/40320.qvc*7 + 4369.PI*4/5806080.qvc**9 &
434	+ 34807.PI5/182476800.qvc**11
435	qvc = sqrt(PI)/2.*qvc
436	qvc = (qvc-pdf_b)pdf_ksqrt(2.)
437	qvc = q*exp(qvc)
438
439	! On met a jour rneb avec la nouvelle valeur de qvc
440	! La maj est necessaire a cause de la serie entiere approximative
441	pdf_a = log(qvc/q)/(pdf_k*sqrt(2.))
442	pdf_e1 = pdf_a+pdf_b
443	IF (abs(pdf_e1).GE.erf_lim) THEN
444	pdf_e1 = sign(1.,pdf_e1)
445	ELSE
446	pdf_e1 = erf(pdf_e1)
447	ENDIF
448	pdf_e1 = 0.5*(1.+pdf_e1)
449	rneb = pdf_e1
450
451	! Si N > 1, N1 et N2 = 1
452	pdf_N1 = 1.
453	pdf_N2 = 1.
454
455	! Cas 2 : N <= 1
456	ELSE
457	! D'abord on calcule N2 avec le tuning
458	pdf_N2 = min(1.,pdf_N*tun_N)
459
460	! Puis N1 pour assurer la conservation de alpha_cld
461	pdf_a = log(qvcgamma_prec/q)/(pdf_ksqrt(2.))
462	pdf_e2 = pdf_a+pdf_b
463	IF (abs(pdf_e2).GE.erf_lim) THEN
464	pdf_e2 = sign(1.,pdf_e2)
465	ELSE
466	pdf_e2 = erf(pdf_e2)
467	ENDIF
468	pdf_e2 = 0.5*(1.+pdf_e2) ! integrale sous P pour q > gamma qsat
469
470	IF (abs(pdf_e1-pdf_e2).LT.eps) THEN
471	pdf_N1 = pdf_N2
472	ELSE
473	pdf_N1 = (rneb-pdf_N2*pdf_e2)/(pdf_e1-pdf_e2)
474	ENDIF
475
476	! Barriere qui traite le cas gamma_prec = 1.
477	IF (pdf_N1.LE.0.) THEN
478	pdf_N1 = 0.
479	IF (pdf_e2.GT.eps) THEN
480	pdf_N2 = rneb/pdf_e2
481	ELSE
482	pdf_N2 = 0.
483	ENDIF
484	ENDIF
485	ENDIF
486
487	! Physique 1
488	! Sublimation
489	IF (qvc.LT.qsat) THEN
490	pdf_a = log(qvc/q)/(pdf_k*sqrt(2.))
491	pdf_e1 = pdf_a+pdf_b
492	IF (abs(pdf_e1).GE.erf_lim) THEN
493	pdf_e1 = sign(1.,pdf_e1)
494	ELSE
495	pdf_e1 = erf(pdf_e1)
496	ENDIF
497
498	pdf_a = log(qsat/q)/(pdf_k*sqrt(2.))
499	pdf_e2 = pdf_a+pdf_b
500	IF (abs(pdf_e2).GE.erf_lim) THEN
501	pdf_e2 = sign(1.,pdf_e2)
502	ELSE
503	pdf_e2 = erf(pdf_e2)
504	ENDIF
505
506	pdf_e1 = 0.5pdf_N1(pdf_e1-pdf_e2)
507
508	! Calcul et ajout de la tendance
509	drneb_sub(i,k) = - pdf_e1/dtime !--unit [s-1]
510	rneb = rneb + drneb_sub(i,k)*dtime
511	ELSE
512	drneb_sub(i,k) = 0.
513	ENDIF
514
515	! NOTE : verifier si ca marche bien pour gamma proche de 1.
516
517	! Condensation
518	IF (gamma_ssqsat.LT.gamma_precqvc) THEN
519
520	pdf_a = log(gamma_ssqsat/q)/(pdf_ksqrt(2.))
521	pdf_e1 = pdf_a+pdf_b
522	IF (abs(pdf_e1).GE.erf_lim) THEN
523	pdf_e1 = sign(1.,pdf_e1)
524	ELSE
525	pdf_e1 = erf(pdf_e1)
526	ENDIF
527
528	pdf_a = log(gamma_precqvc/q)/(pdf_ksqrt(2.))
529	pdf_e2 = pdf_a+pdf_b
530	IF (abs(pdf_e2).GE.erf_lim) THEN
531	pdf_e2 = sign(1.,pdf_e2)
532	ELSE
533	pdf_e2 = erf(pdf_e2)
534	ENDIF
535
536	pdf_e1 = 0.5(1.-pdf_N1)(pdf_e1-pdf_e2)
537	pdf_e2 = 0.5(1.-pdf_N2)(1.+pdf_e2)
538
539	! Calcul et ajout de la tendance
540	drneb_con(i,k) = (pdf_e1 + pdf_e2)/dtime !--unit [s-1]
541	rneb = rneb + drneb_con(i,k)*dtime
542
543	ELSE
544
545	pdf_a = log(gamma_ssqsat/q)/(pdf_ksqrt(2.))
546	pdf_e1 = pdf_a+pdf_b
547	IF (abs(pdf_e1).GE.erf_lim) THEN
548	pdf_e1 = sign(1.,pdf_e1)
549	ELSE
550	pdf_e1 = erf(pdf_e1)
551	ENDIF
552	pdf_e1 = 0.5(1.-pdf_N2)(1.+pdf_e1)
553
554	! Calcul et ajout de la tendance
555	drneb_con(i,k) = pdf_e1/dtime !--unit [s-1]
556	rneb = rneb + drneb_con(i,k)*dtime
557
558	ENDIF
559
560	! Calcul des grandeurs diagnostiques
561	! Determination des grandeurs ciel clair
562	pdf_a = log(qsat/q)/(pdf_k*sqrt(2.))
563	pdf_e1 = pdf_a+pdf_b
564	IF (abs(pdf_e1).GE.erf_lim) THEN
565	pdf_e1 = sign(1.,pdf_e1)
566	ELSE
567	pdf_e1 = erf(pdf_e1)
568	ENDIF
569	pdf_e1 = 0.5*(1.-pdf_e1)
570
571	pdf_e2 = pdf_a-pdf_b
572	IF (abs(pdf_e2).GE.erf_lim) THEN
573	pdf_e2 = sign(1.,pdf_e2)
574	ELSE
575	pdf_e2 = erf(pdf_e2)
576	ENDIF
577	pdf_e2 = 0.5q(1.-pdf_e2)
578
579	rnebclr = pdf_e1
580	qclr = pdf_e2
581
582	! Determination de q_cld
583	! Partie 1
584	pdf_a = log(max(qsat,qvc)/q)/(pdf_k*sqrt(2.))
585	pdf_e1 = pdf_a-pdf_b
586	IF (abs(pdf_e1).GE.erf_lim) THEN
587	pdf_e1 = sign(1.,pdf_e1)
588	ELSE
589	pdf_e1 = erf(pdf_e1)
590	ENDIF
591
592	pdf_a = log(min(gamma_ssqsat,gamma_precqvc)/q)/(pdf_k*sqrt(2.))
593	pdf_e2 = pdf_a-pdf_b
594	IF (abs(pdf_e2).GE.erf_lim) THEN
595	pdf_e2 = sign(1.,pdf_e2)
596	ELSE
597	pdf_e2 = erf(pdf_e2)
598	ENDIF
599
600	pdf_e1 = 0.5qpdf_N1*(pdf_e1-pdf_e2)
601
602	qcld = pdf_e1
603
604	! Partie 2 (sous condition)
605	IF (gamma_ssqsat.GT.gamma_precqvc) THEN
606	pdf_a = log(gamma_ssqsat/q)/(pdf_ksqrt(2.))
607	pdf_e1 = pdf_a-pdf_b
608	IF (abs(pdf_e1).GE.erf_lim) THEN
609	pdf_e1 = sign(1.,pdf_e1)
610	ELSE
611	pdf_e1 = erf(pdf_e1)
612	ENDIF
613
614	pdf_e2 = 0.5qpdf_N2*(pdf_e2-pdf_e1)
615
616	qcld = qcld + pdf_e2
617
618	pdf_e2 = pdf_e1
619	ENDIF
620
621	! Partie 3
622	pdf_e2 = 0.5q(1.+pdf_e2)
623
624	qcld = qcld + pdf_e2
625
626	! Fin du calcul de q_cld
627
628	! Determination des grandeurs ISSR via les equations de conservation
629	rneb=MIN(rneb, 1. - rnebclr - eps) !--ajout OB - barrière
630	rnebss = MAX(0.0, 1. - rnebclr - rneb) !--ajout OB
631	qss = MAX(0.0, q - qclr - qcld) !--ajout OB
632
633	! Physique 2 : Turbulence
634	IF (rneb.GT.eps.AND.rneb.LT.1.-eps) THEN ! rneb != 0 and != 1
635	!
636	tke = pbl_tke(i,k,is_ave)
637	! A MODIFIER formule a revoir
638	L_tur = min(l_turb, sqrt(tke)*dtime)
639
640	! On fait pour l'instant l'hypothese a = 3b. V = 4/3 pi a b**2 = alpha_cld
641	! donc b = alpha_cld/4pi **1/3.
642	b_tur = (rnebV_cell/4./PI/N_cld)*(1./3.)
643	! On verifie que la longeur de melange n'est pas trop grande
644	IF (L_tur.GT.b_tur) THEN
645	L_tur = b_tur
646	ENDIF
647
648	V_env = N_cld4.PI(3.(b_tur*2.)L_tur + L_tur*3. + 3.b_tur(L_tur*2.))
649	V_cld = N_cld4.PI(3.(b_tur*2.)L_tur + L_tur*3. - 3.b_tur(L_tur*2.))
650	V_cld = abs(V_cld)
651
652	! Repartition statistique des zones de contact nuage-ISSR et nuage-ciel clair
653	sig = rnebss/(chi*rnebclr+rnebss)
654	V_ss = MIN(sigV_env,rnebssV_cell)
655	V_clr = MIN((1.-sig)V_env,rnebclrV_cell)
656	V_cld = MIN(V_cld,rneb*V_cell)
657	V_env = V_ss + V_clr
658
659	! ISSR => rneb
660	drnebss = -1.*V_ss/V_cell
661	dqss = drnebss*qss/MAX(eps,rnebss)
662
663	! Clear sky <=> rneb
664	q_eq = V_envqclr/MAX(eps,rnebclr) + V_cldqcld/MAX(eps,rneb)
665	q_eq = q_eq/(V_env + V_cld)
666
667	IF (q_eq.GT.qsat) THEN
668	drnebclr = - V_clr/V_cell
669	dqclr = drnebclr*qclr/MAX(eps,rnebclr)
670	ELSE
671	drnebclr = V_cld/V_cell
672	dqclr = drnebclr*qcld/MAX(eps,rneb)
673	ENDIF
674
675	! Maj des variables avec les tendances
676	rnebclr = MAX(0.0,rnebclr + drnebclr) !--OB ajout d'un max avec eps (il faudrait modified drnebclr pour le diag)
677	qclr = MAX(0.0, qclr + dqclr) !--OB ajout d'un max avec 0
678
679	rneb = rneb - drnebclr - drnebss
680	qcld = qcld - dqclr - dqss
681
682	rnebss = MAX(0.0,rnebss + drnebss) !--OB ajout d'un max avec eps (il faudrait modifier drnebss pour le diag)
683	qss = MAX(0.0, qss + dqss) !--OB ajout d'un max avec 0
684
685	! Tendances pour le diagnostic
686	drneb_tur(i,k) = (drnebclr + drnebss)/dtime !--unit [s-1]
687
688	ENDIF ! rneb
689
690	!--add a source of cirrus from aviation contrails
691	IF (ok_plane_contrail) THEN
692	drneb_avi(i,k) = rnebssflight_m(i,k)contrail_cross_section/V_cell !--tendency rneb due to aviation [s-1]
693	drneb_avi(i,k) = MIN(drneb_avi(i,k), rnebss/dtime) !--majoration
694	dqss_avi = qss*drneb_avi(i,k)/MAX(eps,rnebss) !--tendency q aviation [kg kg-1 s-1]
695	rneb = rneb + drneb_avi(i,k)*dtime !--add tendency to rneb
696	qcld = qcld + dqss_avi*dtime !--add tendency to qcld
697	rnebss = rnebss - drneb_avi(i,k)*dtime !--add tendency to rnebss
698	qss = qss - dqss_avi*dtime !--add tendency to qss
699	ELSE
700	drneb_avi(i,k)=0.0
701	ENDIF
702
703	! Barrieres
704	! ISSR trop petite
705	IF (rnebss.LT.eps) THEN
706	rneb = MIN(rneb + rnebss,1.0-eps) !--ajout OB barriere
707	qcld = qcld + qss
708	rnebss = 0.
709	qss = 0.
710	ENDIF
711
712	! le nuage est trop petit
713	IF (rneb.LT.eps) THEN
714	! s'il y a une ISSR on met tout dans l'ISSR, sinon dans le
715	! clear sky
716	IF (rnebss.LT.eps) THEN
717	rnebclr = 1.
718	rnebss = 0. !--ajout OB
719	qclr = q
720	ELSE
721	rnebss = MIN(rnebss + rneb,1.0-eps) !--ajout OB barriere
722	qss = qss + qcld
723	ENDIF
724	rneb = 0.
725	qcld = 0.
726	qincld = qsat * gamma_ss
727	ELSE
728	qincld = qcld / rneb
729	ENDIF
730
731	!--OB ajout borne superieure
732	sum_rneb_rnebss=rneb+rnebss
733	rneb=rneb*MIN(1.-eps,sum_rneb_rnebss)/MAX(eps,sum_rneb_rnebss)
734	rnebss=rnebss*MIN(1.-eps,sum_rneb_rnebss)/MAX(eps,sum_rneb_rnebss)
735
736	! On ecrit dans la memoire
737	N1_ss(i,k) = pdf_N1
738	N2_ss(i,k) = pdf_N2
739
740	!--Diagnostics only used from last iteration
741	!--test
742	!!Tcontr(i,k)=200.
743	!!fcontrN(i,k)=1.0
744	!!fcontrP(i,k)=0.5
745	!
746	!--slope of dilution line in exhaust
747	!--kg H2O/kg fuel * J kg air-1 K-1 * Pa / (kg H2O / kg air * J kg fuel-1)
748	Gcontr = EiH2O * RCPD * pplay / (eps_wQheat(1.-eta)) !--Pa K-1
749	!--critical T_LM below which no liquid contrail can form in exhaust
750	!Tcontr(i,k) = 226.69+9.43log(Gcontr-0.053)+0.72(log(Gcontr-0.053))**2 !--K
751	IF (Gcontr .GT. 0.1) THEN
752	!
753	Tcontr = 226.69+9.43log(Gcontr-0.053)+0.72(log(Gcontr-0.053))**2 !--K
754	!print *,'Tcontr=',iter,i,k,eps_w,pplay,Gcontr,Tcontr(i,k)
755	!--Psat with index 0 in FOEEW to get saturation wrt liquid water corresponding to Tcontr
756	!qsatliqcontr = RESTT*FOEEW(Tcontr(i,k),0.) !--Pa
757	qsatliqcontr = RESTT*FOEEW(Tcontr,0.) !--Pa
758	!--Critical water vapour above which there is contrail formation for ambiant temperature
759	!qcontr(i,k) = Gcontr*(t-Tcontr(i,k)) + qsatliqcontr !--Pa
760	qcontr = Gcontr*(t-Tcontr) + qsatliqcontr !--Pa
761	!--Conversion of qcontr in specific humidity - method 1
762	!qcontr(i,k) = RD/RVqcontr(i,k)/pplay !--so as to return to something similar to R2ESFOEEW/pplay
763	qcontr2 = RD/RVqcontr/pplay !--so as to return to something similar to R2ESFOEEW/pplay
764	!qcontr(i,k) = min(0.5,qcontr(i,k)) !--and then we apply the same correction term as for qsat
765	qcontr2 = min(0.5,qcontr2) !--and then we apply the same correction term as for qsat
766	!zcor = 1./(1.-RETV*qcontr(i,k)) !--for consistency with qsat but is it correct at all?
767	zcor = 1./(1.-RETV*qcontr2) !--for consistency with qsat but is it correct at all as p is dry?
768	!zcor = 1./(1.+qcontr2) !--for consistency with qsat
769	!qcontr(i,k) = qcontr(i,k)*zcor
770	qcontr2 = qcontr2*zcor
771	qcontr2=MAX(1.e-10,qcontr2) !--eliminate negative values due to extrapolation on dilution curve
772	!--Conversion of qcontr in specific humidity - method 2
773	!qcontr(i,k) = eps_wqcontr(i,k) / (pplay+eps_wqcontr(i,k))
774	!qcontr=MAX(1.E-10,qcontr)
775	!qcontr2 = eps_wqcontr / (pplay+eps_wqcontr)
776	!
777	IF (t .LT. Tcontr) THEN !--contrail formation is possible
778	!
779	!--compute fractions of persistent (P) and non-persistent(N) contrail potential regions
780	!!IF (qcontr(i,k).GE.qsat) THEN
781	IF (qcontr2.GE.qsat) THEN
782	!--none of the unsaturated clear sky is prone for contrail formation
783	!!fcontrN(i,k) = 0.0
784	fcontrN = 0.0
785	!
786	!--integral of P(q) from qsat to qcontr in ISSR
787	pdf_a = log(qsat/q)/(pdf_k*sqrt(2.))
788	pdf_e1 = pdf_a+pdf_b
789	IF (abs(pdf_e1).GE.erf_lim) THEN
790	pdf_e1 = sign(1.,pdf_e1)
791	ELSE
792	pdf_e1 = erf(pdf_e1)
793	ENDIF
794	!
795	!!pdf_a = log(MIN(qcontr(i,k),qvc)/q)/(pdf_k*sqrt(2.))
796	pdf_a = log(MIN(qcontr2,qvc)/q)/(pdf_k*sqrt(2.))
797	pdf_e2 = pdf_a+pdf_b
798	IF (abs(pdf_e2).GE.erf_lim) THEN
799	pdf_e2 = sign(1.,pdf_e2)
800	ELSE
801	pdf_e2 = erf(pdf_e2)
802	ENDIF
803	!
804	!!fcontrP(i,k) = MAX(0., 0.5*(pdf_e1-pdf_e2))
805	fcontrP = MAX(0., 0.5*(pdf_e1-pdf_e2))
806	!
807	pdf_a = log(qsat/q)/(pdf_k*sqrt(2.))
808	pdf_e1 = pdf_a+pdf_b
809	IF (abs(pdf_e1).GE.erf_lim) THEN
810	pdf_e1 = sign(1.,pdf_e1)
811	ELSE
812	pdf_e1 = erf(pdf_e1)
813	ENDIF
814	!
815	!!pdf_a = log(MIN(qcontr(i,k),qvc)/q)/(pdf_k*sqrt(2.))
816	pdf_a = log(MIN(qcontr2,qvc)/q)/(pdf_k*sqrt(2.))
817	pdf_e2 = pdf_a+pdf_b
818	IF (abs(pdf_e2).GE.erf_lim) THEN
819	pdf_e2 = sign(1.,pdf_e2)
820	ELSE
821	pdf_e2 = erf(pdf_e2)
822	ENDIF
823	!
824	!!fcontrP(i,k) = MAX(0., 0.5*(pdf_e1-pdf_e2))
825	fcontrP = MAX(0., 0.5*(pdf_e1-pdf_e2))
826	!
827	pdf_a = log(MAX(qsat,qvc)/q)/(pdf_k*sqrt(2.))
828	pdf_e1 = pdf_a+pdf_b
829	IF (abs(pdf_e1).GE.erf_lim) THEN
830	pdf_e1 = sign(1.,pdf_e1)
831	ELSE
832	pdf_e1 = erf(pdf_e1)
833	ENDIF
834	!
835	!!pdf_a = log(MIN(qcontr(i,k),MIN(gamma_precqvc,gamma_ssqsat))/q)/(pdf_k*sqrt(2.))
836	pdf_a = log(MIN(qcontr2,MIN(gamma_precqvc,gamma_ssqsat))/q)/(pdf_k*sqrt(2.))
837	pdf_e2 = pdf_a+pdf_b
838	IF (abs(pdf_e2).GE.erf_lim) THEN
839	pdf_e2 = sign(1.,pdf_e2)
840	ELSE
841	pdf_e2 = erf(pdf_e2)
842	ENDIF
843	!
844	!!fcontrP(i,k) = fcontrP(i,k) + MAX(0., 0.5(1-pdf_N1)(pdf_e1-pdf_e2))
845	fcontrP = fcontrP + MAX(0., 0.5(1-pdf_N1)(pdf_e1-pdf_e2))
846	!
847	pdf_a = log(gamma_precqvc/q)/(pdf_ksqrt(2.))
848	pdf_e1 = pdf_a+pdf_b
849	IF (abs(pdf_e1).GE.erf_lim) THEN
850	pdf_e1 = sign(1.,pdf_e1)
851	ELSE
852	pdf_e1 = erf(pdf_e1)
853	ENDIF
854	!
855	!!pdf_a = log(MIN(qcontr(i,k),gamma_ssqsat)/q)/(pdf_ksqrt(2.))
856	pdf_a = log(MIN(qcontr2,gamma_ssqsat)/q)/(pdf_ksqrt(2.))
857	pdf_e2 = pdf_a+pdf_b
858	IF (abs(pdf_e2).GE.erf_lim) THEN
859	pdf_e2 = sign(1.,pdf_e2)
860	ELSE
861	pdf_e2 = erf(pdf_e2)
862	ENDIF
863	!
864	!!fcontrP(i,k) = fcontrP(i,k) + MAX(0., 0.5(1-pdf_N2)(pdf_e1-pdf_e2))
865	fcontrP = fcontrP + MAX(0., 0.5(1-pdf_N2)(pdf_e1-pdf_e2))
866	!
867	ELSE !--qcontr LT qsat
868	!
869	!--all of ISSR is prone for contrail formation
870	!!fcontrP(i,k) = rnebss
871	fcontrP = rnebss
872	!
873	!--integral of zq from qcontr to qsat in unsaturated clear-sky region
874	!!pdf_a = log(qcontr(i,k)/q)/(pdf_k*sqrt(2.))
875	pdf_a = log(qcontr2/q)/(pdf_k*sqrt(2.))
876	pdf_e1 = pdf_a+pdf_b !--normalement pdf_b est deja defini
877	IF (abs(pdf_e1).GE.erf_lim) THEN
878	pdf_e1 = sign(1.,pdf_e1)
879	ELSE
880	pdf_e1 = erf(pdf_e1)
881	ENDIF
882	!
883	pdf_a = log(qsat/q)/(pdf_k*sqrt(2.))
884	pdf_e2 = pdf_a+pdf_b
885	IF (abs(pdf_e2).GE.erf_lim) THEN
886	pdf_e2 = sign(1.,pdf_e2)
887	ELSE
888	pdf_e2 = erf(pdf_e2)
889	ENDIF
890	!
891	!!fcontrN(i,k) = 0.5*(pdf_e1-pdf_e2)
892	fcontrN = 0.5*(pdf_e1-pdf_e2)
893	!!fcontrN=2.0
894	!
895	ENDIF
896	!
897	ENDIF !-- t < Tcontr
898	!
899	ENDIF !-- Gcontr > 0.1
900
901	RETURN
902	END SUBROUTINE ice_sursat
903	!
904	!*******************************************************************
905	!
906	END MODULE ice_sursat_mod

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