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lmdz_lscp_tools.F90 @ 5111

Last change on this file since 5111 was 5111, checked in by abarral, 4 months ago
Put abort_physic into a module Remove -g option from makelmdz_fcm, since that option is linked to a header file that isn't included anywhere. (lint) light lint on traversed files
File size: 29.6 KB

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1	MODULE lmdz_lscp_tools
2
3	IMPLICIT NONE
4
5	CONTAINS
6
7	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
8	SUBROUTINE FALLICE_VELOCITY(klon,iwc,temp,rho,pres,ptconv,velo)
9
10	! Ref:
11	! Stubenrauch, C. J., Bonazzola, M.,
12	! Protopapadaki, S. E., & Musat, I. (2019).
13	! New cloud system metrics to assess bulk
14	! ice cloud schemes in a GCM. Journal of
15	! Advances in Modeling Earth Systems, 11,
16	! 3212–3234. https://doi.org/10.1029/2019MS001642
17
18	use lmdz_lscp_ini, only: iflag_vice, ffallv_con, ffallv_lsc
19	use lmdz_lscp_ini, only: cice_velo, dice_velo
20
21	IMPLICIT NONE
22
23	INTEGER, INTENT(IN) :: klon
24	REAL, INTENT(IN), DIMENSION(klon) :: iwc ! specific ice water content [kg/m3]
25	REAL, INTENT(IN), DIMENSION(klon) :: temp ! temperature [K]
26	REAL, INTENT(IN), DIMENSION(klon) :: rho ! dry air density [kg/m3]
27	REAL, INTENT(IN), DIMENSION(klon) :: pres ! air pressure [Pa]
28	LOGICAL, INTENT(IN), DIMENSION(klon) :: ptconv ! convective point [-]
29
30	REAL, INTENT(OUT), DIMENSION(klon) :: velo ! fallspeed velocity of crystals [m/s]
31
32
33	INTEGER i
34	REAL logvm,iwcg,tempc,phpa,fallv_tun
35	REAL m2ice, m2snow, vmice, vmsnow
36	REAL aice, bice, asnow, bsnow
37
38
39	DO i=1,klon
40
41	IF (ptconv(i)) THEN
42	fallv_tun=ffallv_con
43	ELSE
44	fallv_tun=ffallv_lsc
45	ENDIF
46
47	tempc=temp(i)-273.15 ! celcius temp
48	iwcg=MAX(iwc(i)*1000.,1E-3) ! iwc in g/m3. We set a minimum value to prevent from division by 0
49	phpa=pres(i)/100. ! pressure in hPa
50
51	IF (iflag_vice == 1) THEN
52	! so-called 'empirical parameterization' in Stubenrauch et al. 2019
53	if (tempc >= -60.0) then
54
55	logvm= -0.0000414122tempctempclog(iwcg)-0.00538922tempc*log(iwcg) &
56	-0.0516344log(iwcg)+0.00216078tempc + 1.9714
57	velo(i)=exp(logvm)
58	else
59	velo(i)=65.0(iwcg0.2)(150./phpa)**0.15
60	endif
61
62	velo(i)=fallv_tun*velo(i)/100.0 ! from cm/s to m/s
63
64	ELSE IF (iflag_vice == 2) THEN
65	! so called PSDM empirical coherent bulk ice scheme in Stubenrauch et al. 2019
66	aice=0.587
67	bice=2.45
68	asnow=0.0444
69	bsnow=2.1
70
71	m2ice=((iwcg0.001/aice)/(exp(13.6-bice7.76+0.479bice2) &
72	exp((-0.0361+bice0.0151+0.00149bice*2)tempc))) &
73	*(1./(0.807+bice0.00581+0.0457bice*2))
74
75	vmice=100.1042.4exp(13.6-(bice+1)7.76+0.479(bice+1.)*2)exp((-0.0361+ &
76	(bice+1.)0.0151+0.00149(bice+1.)*2)tempc) &
77	(m2ice(0.807+(bice+1.)0.00581+0.0457(bice+1.)2))/(iwcg0.001/aice)
78
79
80	vmice=vmice((1000./phpa)*0.2)
81
82	m2snow=((iwcg0.001/asnow)/(exp(13.6-bsnow7.76+0.479bsnow2) &
83	exp((-0.0361+bsnow0.0151+0.00149bsnow*2)tempc))) &
84	*(1./(0.807+bsnow0.00581+0.0457bsnow*2))
85
86
87	vmsnow=100.14.3exp(13.6-(bsnow+.416)7.76+0.479(bsnow+.416)**2)&
88	exp((-0.0361+(bsnow+.416)0.0151+0.00149(bsnow+.416)2)tempc)&
89	(m2snow(0.807+(bsnow+.416)0.00581+0.0457(bsnow+.416)2))/(iwcg0.001/asnow)
90
91	vmsnow=vmsnow((1000./phpa)*0.35)
92	velo(i)=fallv_tun*min(vmsnow,vmice)/100. ! to m/s
93
94	ELSE
95	! By default, fallspeed velocity of ice crystals according to Heymsfield & Donner 1990
96	velo(i) = fallv_tuncice_velo((iwcg/1000.)**dice_velo)
97	ENDIF
98	ENDDO
99
100	END SUBROUTINE FALLICE_VELOCITY
101	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
102
103	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
104	SUBROUTINE ICEFRAC_LSCP(klon, temp, iflag_ice_thermo, distcltop, temp_cltop, icefrac, dicefracdT)
105	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
106
107	! Compute the ice fraction 1-xliq (see e.g.
108	! Doutriaux-Boucher & Quaas 2004, section 2.2.)
109	! as a function of temperature
110	! see also Fig 3 of Madeleine et al. 2020, JAMES
111	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
112
113
114	USE print_control_mod, ONLY: lunout, prt_level
115	USE lmdz_lscp_ini, ONLY: t_glace_min, t_glace_max, exposant_glace, iflag_t_glace
116	USE lmdz_lscp_ini, ONLY: RTT, dist_liq, temp_nowater
117	USE lmdz_abort_physic, ONLY: abort_physic
118
119	IMPLICIT NONE
120
121
122	INTEGER, INTENT(IN) :: klon ! number of horizontal grid points
123	REAL, INTENT(IN), DIMENSION(klon) :: temp ! temperature
124	REAL, INTENT(IN), DIMENSION(klon) :: distcltop ! distance to cloud top
125	REAL, INTENT(IN), DIMENSION(klon) :: temp_cltop ! temperature of cloud top
126	INTEGER, INTENT(IN) :: iflag_ice_thermo
127	REAL, INTENT(OUT), DIMENSION(klon) :: icefrac
128	REAL, INTENT(OUT), DIMENSION(klon) :: dicefracdT
129
130
131	INTEGER i
132	REAL liqfrac_tmp, dicefrac_tmp
133	REAL Dv, denomdep,beta,qsi,dqsidt
134	LOGICAL ice_thermo
135
136	CHARACTER (len = 20) :: modname = 'lscp_tools'
137	CHARACTER (len = 80) :: abort_message
138
139	IF ((iflag_t_glace<2)) THEN !.OR. (iflag_t_glace.GT.6)) THEN
140	abort_message = 'lscp cannot be used if iflag_t_glace<2 or >6'
141	CALL abort_physic(modname,abort_message,1)
142	ENDIF
143
144	IF (.NOT.((iflag_ice_thermo == 1).OR.(iflag_ice_thermo >= 3))) THEN
145	abort_message = 'lscp cannot be used without ice thermodynamics'
146	CALL abort_physic(modname,abort_message,1)
147	ENDIF
148
149
150	DO i=1,klon
151
152	! old function with sole dependence upon temperature
153	IF (iflag_t_glace == 2) THEN
154	liqfrac_tmp = (temp(i)-t_glace_min) / (t_glace_max-t_glace_min)
155	liqfrac_tmp = MIN(MAX(liqfrac_tmp,0.0),1.0)
156	icefrac(i) = (1.0-liqfrac_tmp)**exposant_glace
157	IF (icefrac(i) >0.) THEN
158	dicefracdT(i)= exposant_glace * (icefrac(i)**(exposant_glace-1.)) &
159	/ (t_glace_min - t_glace_max)
160	ENDIF
161
162	IF ((icefrac(i)==0).OR.(icefrac(i)==1)) THEN
163	dicefracdT(i)=0.
164	ENDIF
165
166	ENDIF
167
168	! function of temperature used in CMIP6 physics
169	IF (iflag_t_glace == 3) THEN
170	liqfrac_tmp = (temp(i)-t_glace_min) / (t_glace_max-t_glace_min)
171	liqfrac_tmp = MIN(MAX(liqfrac_tmp,0.0),1.0)
172	icefrac(i) = 1.0-liqfrac_tmp**exposant_glace
173	IF ((icefrac(i) >0.) .AND. (liqfrac_tmp > 0.)) THEN
174	dicefracdT(i)= exposant_glace * ((liqfrac_tmp)**(exposant_glace-1.)) &
175	/ (t_glace_min - t_glace_max)
176	ELSE
177	dicefracdT(i)=0.
178	ENDIF
179	ENDIF
180
181	! for iflag_t_glace .GE. 4, the liquid fraction depends upon temperature at cloud top
182	! and then decreases with decreasing height
183
184	!with linear function of temperature at cloud top
185	IF (iflag_t_glace == 4) THEN
186	liqfrac_tmp = (temp(i)-t_glace_min) / (t_glace_max-t_glace_min)
187	liqfrac_tmp = MIN(MAX(liqfrac_tmp,0.0),1.0)
188	icefrac(i) = MAX(MIN(1.,1.0 - liqfrac_tmp*exp(-distcltop(i)/dist_liq)),0.)
189	dicefrac_tmp = - temp(i)/(t_glace_max-t_glace_min)
190	dicefracdT(i) = dicefrac_tmp*exp(-distcltop(i)/dist_liq)
191	IF ((liqfrac_tmp <=0) .OR. (liqfrac_tmp >= 1)) THEN
192	dicefracdT(i) = 0.
193	ENDIF
194	ENDIF
195
196	! with CMIP6 function of temperature at cloud top
197	IF ((iflag_t_glace == 5) .OR. (iflag_t_glace == 7)) THEN
198	liqfrac_tmp = (temp(i)-t_glace_min) / (t_glace_max-t_glace_min)
199	liqfrac_tmp = MIN(MAX(liqfrac_tmp,0.0),1.0)
200	liqfrac_tmp = liqfrac_tmp**exposant_glace
201	icefrac(i) = MAX(MIN(1.,1.0 - liqfrac_tmp*exp(-distcltop(i)/dist_liq)),0.)
202	IF ((liqfrac_tmp <=0) .OR. (liqfrac_tmp >= 1)) THEN
203	dicefracdT(i) = 0.
204	ELSE
205	dicefracdT(i) = exposant_glace((liqfrac_tmp)*(exposant_glace-1.))/(t_glace_min- t_glace_max) &
206	*exp(-distcltop(i)/dist_liq)
207	ENDIF
208	ENDIF
209
210	! with modified function of temperature at cloud top
211	! to get largere values around 260 K, works well with t_glace_min = 241K
212	IF (iflag_t_glace == 6) THEN
213	IF (temp(i) > t_glace_max) THEN
214	liqfrac_tmp = 1.
215	ELSE
216	liqfrac_tmp = -((temp(i)-t_glace_max) / (t_glace_max-t_glace_min))**2+1.
217	ENDIF
218	liqfrac_tmp = MIN(MAX(liqfrac_tmp,0.0),1.0)
219	icefrac(i) = MAX(MIN(1.,1.0 - liqfrac_tmp*exp(-distcltop(i)/dist_liq)),0.)
220	IF ((liqfrac_tmp <=0) .OR. (liqfrac_tmp >= 1)) THEN
221	dicefracdT(i) = 0.
222	ELSE
223	dicefracdT(i) = 2*((temp(i)-t_glace_max) / (t_glace_max-t_glace_min))/(t_glace_max-t_glace_min) &
224	*exp(-distcltop(i)/dist_liq)
225	ENDIF
226	ENDIF
227
228	! if temperature of cloud top <-40°C,
229	IF (iflag_t_glace >= 4) THEN
230	IF ((temp_cltop(i) <= temp_nowater) .AND. (temp(i) <= t_glace_max)) THEN
231	icefrac(i) = 1.
232	dicefracdT(i) = 0.
233	ENDIF
234	ENDIF
235
236
237	ENDDO ! klon
238
239
240	END SUBROUTINE ICEFRAC_LSCP
241	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
242
243	SUBROUTINE ICEFRAC_LSCP_TURB(klon, dtime, temp, pplay, paprsdn, paprsup, qice_ini, snowcld, qtot_incl, cldfra, tke, tke_dissip, qliq, qvap_cld, qice, icefrac, dicefracdT, cldfraliq, sigma2_icefracturb, mean_icefracturb)
244	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
245	! Compute the liquid, ice and vapour content (+ice fraction) based
246	! on turbulence (see Fields 2014, Furtado 2016)
247	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
248
249
250	USE lmdz_lscp_ini, ONLY: prt_level, lunout
251	USE lmdz_lscp_ini, ONLY: RCPD, RLSTT, RLVTT, RLMLT, RVTMP2, RTT, RD, RG, RV, RPI
252	USE lmdz_lscp_ini, ONLY: seuil_neb, temp_nowater
253	USE lmdz_lscp_ini, ONLY: tau_mixenv, lmix_mpc, naero5, gamma_snwretro, gamma_taud, capa_crystal
254	USE lmdz_lscp_ini, ONLY: eps
255
256	IMPLICIT NONE
257
258	INTEGER, INTENT(IN) :: klon !--number of horizontal grid points
259	REAL, INTENT(IN) :: dtime !--time step [s]
260
261	REAL, INTENT(IN), DIMENSION(klon) :: temp !--temperature
262	REAL, INTENT(IN), DIMENSION(klon) :: pplay !--pressure in the middle of the layer [Pa]
263	REAL, INTENT(IN), DIMENSION(klon) :: paprsdn !--pressure at the bottom interface of the layer [Pa]
264	REAL, INTENT(IN), DIMENSION(klon) :: paprsup !--pressure at the top interface of the layer [Pa]
265	REAL, INTENT(IN), DIMENSION(klon) :: qtot_incl !--specific total cloud water content, in-cloud content [kg/kg]
266	REAL, INTENT(IN), DIMENSION(klon) :: cldfra !--cloud fraction in gridbox [-]
267	REAL, INTENT(IN), DIMENSION(klon) :: tke !--turbulent kinetic energy [m2/s2]
268	REAL, INTENT(IN), DIMENSION(klon) :: tke_dissip !--TKE dissipation [m2/s3]
269
270	REAL, INTENT(IN), DIMENSION(klon) :: qice_ini !--initial specific ice content gridbox-mean [kg/kg]
271	REAL, INTENT(IN), DIMENSION(klon) :: snowcld
272	REAL, INTENT(OUT), DIMENSION(klon) :: qliq !--specific liquid content gridbox-mean [kg/kg]
273	REAL, INTENT(OUT), DIMENSION(klon) :: qvap_cld !--specific cloud vapor content, gridbox-mean [kg/kg]
274	REAL, INTENT(OUT), DIMENSION(klon) :: qice !--specific ice content gridbox-mean [kg/kg]
275	REAL, INTENT(OUT), DIMENSION(klon) :: icefrac !--fraction of ice in condensed water [-]
276	REAL, INTENT(OUT), DIMENSION(klon) :: dicefracdT
277
278	REAL, INTENT(OUT), DIMENSION(klon) :: cldfraliq !--fraction of cldfra which is liquid only
279	REAL, INTENT(OUT), DIMENSION(klon) :: sigma2_icefracturb !--Temporary
280	REAL, INTENT(OUT), DIMENSION(klon) :: mean_icefracturb !--Temporary
281
282	REAL, DIMENSION(klon) :: qzero, qsatl, dqsatl, qsati, dqsati !--specific humidity saturation values
283	INTEGER :: i
284
285	REAL :: qvap_incl, qice_incl, qliq_incl, qiceini_incl !--In-cloud specific quantities [kg/kg]
286	REAL :: qsnowcld_incl
287	!REAL :: capa_crystal !--Capacitance of ice crystals [-]
288	REAL :: water_vapor_diff !--Water-vapour diffusion coefficient in air [m2/s] (function of T&P)
289	REAL :: air_thermal_conduct !--Thermal conductivity of air [J/m/K/s] (function of T)
290	REAL :: C0 !--Lagrangian structure function [-]
291	REAL :: tau_mixingenv
292	REAL :: tau_dissipturb
293	REAL :: invtau_phaserelax
294	REAL :: sigma2_pdf, mean_pdf
295	REAL :: ai, bi, B0
296	REAL :: sursat_iceliq
297	REAL :: sursat_env
298	REAL :: liqfra_max
299	REAL :: sursat_iceext
300	REAL :: nb_crystals !--number concentration of ice crystals [#/m3]
301	REAL :: moment1_PSD !--1st moment of ice PSD
302	REAL :: N0_PSD, lambda_PSD !--parameters of the exponential PSD
303
304	REAL :: rho_ice !--ice density [kg/m3]
305	REAL :: cldfra1D
306	REAL :: deltaz, rho_air
307	REAL :: psati !--saturation vapor pressure wrt i [Pa]
308
309	C0 = 10. !--value assumed in Field2014
310	rho_ice = 950.
311	sursat_iceext = -0.1
312	!capa_crystal = 1. !r_ice
313	qzero(:) = 0.
314	cldfraliq(:) = 0.
315	icefrac(:) = 0.
316	dicefracdT(:) = 0.
317
318	sigma2_icefracturb(:) = 0.
319	mean_icefracturb(:) = 0.
320
321	!--wrt liquid water
322	CALL calc_qsat_ecmwf(klon,temp(:),qzero(:),pplay(:),RTT,1,.FALSE.,qsatl(:),dqsatl(:))
323	!--wrt ice
324	CALL calc_qsat_ecmwf(klon,temp(:),qzero(:),pplay(:),RTT,2,.FALSE.,qsati(:),dqsati(:))
325
326
327	DO i=1,klon
328
329
330	rho_air = pplay(i) / temp(i) / RD
331	!deltaz = ( paprsdn(i) - paprsup(i) ) / RG / rho_air(i)
332	! because cldfra is intent in, but can be locally modified due to test
333	cldfra1D = cldfra(i)
334	IF (cldfra(i) <= 0.) THEN
335	qvap_cld(i) = 0.
336	qliq(i) = 0.
337	qice(i) = 0.
338	cldfraliq(i) = 0.
339	icefrac(i) = 0.
340	dicefracdT(i) = 0.
341
342	! If there is a cloud
343	ELSE
344	IF (cldfra(i) >= 1.0) THEN
345	cldfra1D = 1.0
346	END IF
347
348	! T>0°C, no ice allowed
349	IF ( temp(i) >= RTT ) THEN
350	qvap_cld(i) = qsatl(i) * cldfra1D
351	qliq(i) = MAX(0.0,qtot_incl(i)-qsatl(i)) * cldfra1D
352	qice(i) = 0.
353	cldfraliq(i) = 1.
354	icefrac(i) = 0.
355	dicefracdT(i) = 0.
356
357	! T<-38°C, no liquid allowed
358	ELSE IF ( temp(i) <= temp_nowater) THEN
359	qvap_cld(i) = qsati(i) * cldfra1D
360	qliq(i) = 0.
361	qice(i) = MAX(0.0,qtot_incl(i)-qsati(i)) * cldfra1D
362	cldfraliq(i) = 0.
363	icefrac(i) = 1.
364	dicefracdT(i) = 0.
365
366	! MPC temperature
367	ELSE
368	! Not enough TKE
369	IF ( tke_dissip(i) <= eps ) THEN
370	qvap_cld(i) = qsati(i) * cldfra1D
371	qliq(i) = 0.
372	qice(i) = MAX(0.,qtot_incl(i)-qsati(i)) * cldfra1D
373	cldfraliq(i) = 0.
374	icefrac(i) = 1.
375	dicefracdT(i) = 0.
376
377	! Enough TKE
378	ELSE
379	!---------------------------------------------------------
380	!-- ICE SUPERSATURATION PDF
381	!---------------------------------------------------------
382	!--If -38°C< T <0°C and there is enough turbulence,
383	!--we compute the cloud liquid properties with a Gaussian PDF
384	!--of ice supersaturation F(Si) (Field2014, Furtado2016).
385	!--Parameters of the PDF are function of turbulence and
386	!--microphysics/existing ice.
387
388	sursat_iceliq = qsatl(i)/qsati(i) - 1.
389	psati = qsati(i) * pplay(i) / (RD/RV)
390
391	!-------------- MICROPHYSICAL TERMS --------------
392	!--We assume an exponential ice PSD whose parameters
393	!--are computed following Morrison&Gettelman 2008
394	!--Ice number density is assumed equals to INP density
395	!--which is a function of temperature (DeMott 2010)
396	!--bi and B0 are microphysical function characterizing
397	!--vapor/ice interactions
398	!--tau_phase_relax is the typical time of vapor deposition
399	!--onto ice crystals
400
401	qiceini_incl = qice_ini(i) / cldfra1D
402	qsnowcld_incl = snowcld(i) * RG * dtime / ( paprsdn(i) - paprsup(i) ) / cldfra1D
403	sursat_env = max(0., (qtot_incl(i) - qiceini_incl)/qsati(i) - 1.)
404	IF ( qiceini_incl > eps ) THEN
405	nb_crystals = 1.e3 * 5.94e-5 * ( RTT - temp(i) )*3.33 naero5*(0.0264(RTT-temp(i))+0.0033)
406	lambda_PSD = ( (RPIrho_icenb_crystals24.) / (6.(qiceini_incl + gamma_snwretro * qsnowcld_incl)) ) ** (1./3.)
407	N0_PSD = nb_crystals * lambda_PSD
408	moment1_PSD = N0_PSD/2./lambda_PSD**2
409	ELSE
410	moment1_PSD = 0.
411	ENDIF
412
413	!--Formulae for air thermal conductivity and water vapor diffusivity
414	!--comes respectively from Beard and Pruppacher (1971)
415	!--and Hall and Pruppacher (1976)
416
417	air_thermal_conduct = ( 5.69 + 0.017 * ( temp(i) - RTT ) ) * 1.e-3 * 4.184
418	water_vapor_diff = 2.111e-5 ( temp(i) / RTT )*1.94 ( 101325 / pplay(i) )
419
420	bi = 1./((qsati(i)+qsatl(i))/2.) + RLSTT2 / RCPD / RV / temp(i)2
421	B0 = 4. * RPI * capa_crystal * 1. / ( RLSTT2 / air_thermal_conduct / RV / temp(i)2 &
422	+ RV * temp(i) / psati / water_vapor_diff )
423
424	invtau_phaserelax = (bi * B0 * moment1_PSD )
425
426	! Old way of estimating moment1 : spherical crystals + monodisperse PSD
427	! nb_crystals = rho_air * qiceini_incl / ( 4. / 3. * RPI * r_ice*3. rho_ice )
428	! moment1_PSD = nb_crystals * r_ice
429
430	!----------------- TURBULENT SOURCE/SINK TERMS -----------------
431	!--Tau_mixingenv is the time needed to homogeneize the parcel
432	!--with its environment by turbulent diffusion over the parcel
433	!--length scale
434	!--if lmix_mpc <0, tau_mixigenv value is prescribed
435	!--else tau_mixigenv value is derived from tke_dissip and lmix_mpc
436	!--Tau_dissipturb is the time needed turbulence to decay due to
437	!--viscosity
438
439	ai = RG / RD / temp(i) * ( RD * RLSTT / RCPD / RV / temp(i) - 1. )
440	IF ( lmix_mpc > 0 ) THEN
441	tau_mixingenv = ( lmix_mpc2. / tke_dissip(i) )(1./3.)
442	ELSE
443	tau_mixingenv = tau_mixenv
444	ENDIF
445
446	tau_dissipturb = gamma_taud * 2. * 2./3. * tke(i) / tke_dissip(i) / C0
447
448	!--------------------- PDF COMPUTATIONS ---------------------
449	!--Formulae for sigma2_pdf (variance), mean of PDF in Furtado2016
450	!--cloud liquid fraction and in-cloud liquid content are given
451	!--by integrating resp. F(Si) and Si*F(Si)
452	!--Liquid is limited by the available water vapor trough a
453	!--maximal liquid fraction
454
455	liqfra_max = MAX(0., (MIN (1.,( qtot_incl(i) - qiceini_incl - qsati(i) * (1 + sursat_iceext ) ) / ( qsatl(i) - qsati(i) ) ) ) )
456	sigma2_pdf = 1./2. * ( ai*2 ) 2./3. * tke(i) * tau_dissipturb / ( invtau_phaserelax + 1./tau_mixingenv )
457	mean_pdf = sursat_env * 1./tau_mixingenv / ( invtau_phaserelax + 1./tau_mixingenv )
458	cldfraliq(i) = 0.5 * (1. - erf( ( sursat_iceliq - mean_pdf) / (SQRT(2.* sigma2_pdf) ) ) )
459	!IF (cldfraliq(i) .GT. liqfra_max) THEN
460	! cldfraliq(i) = liqfra_max
461	!ENDIF
462
463	qliq_incl = qsati(i) * SQRT(sigma2_pdf) / SQRT(2.RPI) EXP( -1.(sursat_iceliq - mean_pdf)2. / (2.sigma2_pdf) ) &
464	- qsati(i) * cldfraliq(i) * (sursat_iceliq - mean_pdf )
465
466	sigma2_icefracturb(i)= sigma2_pdf
467	mean_icefracturb(i) = mean_pdf
468	!------------ ICE AMOUNT AND WATER CONSERVATION ------------
469
470	IF ( (qliq_incl <= eps) .OR. (cldfraliq(i) <= eps) ) THEN
471	qliq_incl = 0.
472	cldfraliq(i) = 0.
473	END IF
474
475	!--Choice for in-cloud vapor :
476	!--1.Weighted mean between qvap in MPC parts and in ice-only parts
477	!--2.Always at ice saturation
478	qvap_incl = MAX(qsati(i), ( 1. - cldfraliq(i) ) * (sursat_iceext + 1.) * qsati(i) + cldfraliq(i) * qsatl(i) )
479
480	IF ( qvap_incl >= qtot_incl(i) ) THEN
481	qvap_incl = qsati(i)
482	qliq_incl = qtot_incl(i) - qvap_incl
483	qice_incl = 0.
484
485	ELSEIF ( (qvap_incl + qliq_incl) >= qtot_incl(i) ) THEN
486	qliq_incl = MAX(0.0,qtot_incl(i) - qvap_incl)
487	qice_incl = 0.
488	ELSE
489	qice_incl = qtot_incl(i) - qvap_incl - qliq_incl
490	END IF
491
492	qvap_cld(i) = qvap_incl * cldfra1D
493	qliq(i) = qliq_incl * cldfra1D
494	qice(i) = qice_incl * cldfra1D
495	icefrac(i) = qice(i) / ( qice(i) + qliq(i) )
496	dicefracdT(i) = 0.
497	!PRINT*,'MPC turb'
498
499	END IF ! Enough TKE
500
501	END IF ! ! MPC temperature
502
503	END IF ! cldfra
504
505	ENDDO ! klon
506	END SUBROUTINE ICEFRAC_LSCP_TURB
507	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
508
509
510	SUBROUTINE CALC_QSAT_ECMWF(klon,temp,qtot,pressure,tref,phase,flagth,qs,dqs)
511	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
512	! Calculate qsat following ECMWF method
513	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
514
515
516	IMPLICIT NONE
517
518	include "YOMCST.h"
519	include "YOETHF.h"
520	include "FCTTRE.h"
521
522	INTEGER, INTENT(IN) :: klon ! number of horizontal grid points
523	REAL, INTENT(IN), DIMENSION(klon) :: temp ! temperature in K
524	REAL, INTENT(IN), DIMENSION(klon) :: qtot ! total specific water in kg/kg
525	REAL, INTENT(IN), DIMENSION(klon) :: pressure ! pressure in Pa
526	REAL, INTENT(IN) :: tref ! reference temperature in K
527	LOGICAL, INTENT(IN) :: flagth ! flag for qsat calculation for thermals
528	INTEGER, INTENT(IN) :: phase
529	! phase: 0=depend on temperature sign (temp>tref -> liquid, temp<tref, solid)
530	! 1=liquid
531	! 2=solid
532
533	REAL, INTENT(OUT), DIMENSION(klon) :: qs ! saturation specific humidity [kg/kg]
534	REAL, INTENT(OUT), DIMENSION(klon) :: dqs ! derivation of saturation specific humidity wrt T
535
536	REAL delta, cor, cvm5
537	INTEGER i
538
539	DO i=1,klon
540
541	IF (phase == 1) THEN
542	delta=0.
543	ELSEIF (phase == 2) THEN
544	delta=1.
545	ELSE
546	delta=MAX(0.,SIGN(1.,tref-temp(i)))
547	ENDIF
548
549	IF (flagth) THEN
550	cvm5=R5LES(1.-delta) + R5IESdelta
551	ELSE
552	cvm5 = R5LESRLVTT(1.-delta) + R5IESRLSTTdelta
553	cvm5 = cvm5 /RCPD/(1.0+RVTMP2*(qtot(i)))
554	ENDIF
555
556	qs(i)= R2ES*FOEEW(temp(i),delta)/pressure(i)
557	qs(i)=MIN(0.5,qs(i))
558	cor=1./(1.-RETV*qs(i))
559	qs(i)=qs(i)*cor
560	dqs(i)= FOEDE(temp(i),delta,cvm5,qs(i),cor)
561
562	END DO
563
564	END SUBROUTINE CALC_QSAT_ECMWF
565	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
566
567
568	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
569	SUBROUTINE CALC_GAMMASAT(klon,temp,qtot,pressure,gammasat,dgammasatdt)
570
571	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
572	! programme that calculates the gammasat parameter that determines the
573	! homogeneous condensation thresholds for cold (<0oC) clouds
574	! condensation at q>gammasat*qsat
575	! Etienne Vignon, March 2021
576	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
577
578	use lmdz_lscp_ini, only: iflag_gammasat, t_glace_min, RTT
579
580	IMPLICIT NONE
581
582
583	INTEGER, INTENT(IN) :: klon ! number of horizontal grid points
584	REAL, INTENT(IN), DIMENSION(klon) :: temp ! temperature in K
585	REAL, INTENT(IN), DIMENSION(klon) :: qtot ! total specific water in kg/kg
586
587	REAL, INTENT(IN), DIMENSION(klon) :: pressure ! pressure in Pa
588
589	REAL, INTENT(OUT), DIMENSION(klon) :: gammasat ! coefficient to multiply qsat with to calculate saturation
590	REAL, INTENT(OUT), DIMENSION(klon) :: dgammasatdt ! derivative of gammasat wrt temperature
591
592	REAL, DIMENSION(klon) :: qsi,qsl,dqsl,dqsi
593	REAL fcirrus, fac
594	REAL, PARAMETER :: acirrus=2.349
595	REAL, PARAMETER :: bcirrus=259.0
596
597	INTEGER i
598
599	CALL CALC_QSAT_ECMWF(klon,temp,qtot,pressure,RTT,1,.FALSE.,qsl,dqsl)
600	CALL CALC_QSAT_ECMWF(klon,temp,qtot,pressure,RTT,2,.FALSE.,qsi,dqsi)
601
602	DO i=1,klon
603
604	IF (temp(i) >= RTT) THEN
605	! warm clouds: condensation at saturation wrt liquid
606	gammasat(i)=1.
607	dgammasatdt(i)=0.
608
609	ELSEIF ((temp(i) < RTT) .AND. (temp(i) > t_glace_min)) THEN
610
611	IF (iflag_gammasat >= 2) THEN
612	gammasat(i)=qsl(i)/qsi(i)
613	dgammasatdt(i)=(dqsl(i)qsi(i)-dqsi(i)qsl(i))/qsi(i)/qsi(i)
614	ELSE
615	gammasat(i)=1.
616	dgammasatdt(i)=0.
617	ENDIF
618
619	ELSE
620
621	IF (iflag_gammasat >=1) THEN
622	! homogeneous freezing of aerosols, according to
623	! Koop, 2000 and Karcher 2008, QJRMS
624	! 'Cirrus regime'
625	fcirrus=acirrus-temp(i)/bcirrus
626	IF (fcirrus > qsl(i)/qsi(i)) THEN
627	gammasat(i)=qsl(i)/qsi(i)
628	dgammasatdt(i)=(dqsl(i)qsi(i)-dqsi(i)qsl(i))/qsi(i)/qsi(i)
629	ELSE
630	gammasat(i)=fcirrus
631	dgammasatdt(i)=-1.0/bcirrus
632	ENDIF
633
634	ELSE
635
636	gammasat(i)=1.
637	dgammasatdt(i)=0.
638
639	ENDIF
640
641	ENDIF
642
643	END DO
644
645
646	END SUBROUTINE CALC_GAMMASAT
647	!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
648
649
650	!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
651	SUBROUTINE DISTANCE_TO_CLOUD_TOP(klon,klev,k,temp,pplay,paprs,rneb,distcltop1D,temp_cltop)
652	!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
653
654	USE lmdz_lscp_ini, ONLY: rd,rg,tresh_cl
655
656	IMPLICIT NONE
657
658	INTEGER, INTENT(IN) :: klon,klev !number of horizontal and vertical grid points
659	INTEGER, INTENT(IN) :: k ! vertical index
660	REAL, INTENT(IN), DIMENSION(klon,klev) :: temp ! temperature in K
661	REAL, INTENT(IN), DIMENSION(klon,klev) :: pplay ! pressure middle layer in Pa
662	REAL, INTENT(IN), DIMENSION(klon,klev+1) :: paprs ! pressure interfaces in Pa
663	REAL, INTENT(IN), DIMENSION(klon,klev) :: rneb ! cloud fraction
664
665	REAL, INTENT(OUT), DIMENSION(klon) :: distcltop1D ! distance from cloud top
666	REAL, INTENT(OUT), DIMENSION(klon) :: temp_cltop ! temperature of cloud top
667
668	REAL dzlay(klon,klev)
669	REAL zlay(klon,klev)
670	REAL dzinterf
671	INTEGER i,k_top, kvert
672	LOGICAL bool_cl
673
674
675	DO i=1,klon
676	! Initialization height middle of first layer
677	dzlay(i,1) = Rd * temp(i,1) / rg * log(paprs(i,1)/paprs(i,2))
678	zlay(i,1) = dzlay(i,1)/2
679
680	DO kvert=2,klev
681	IF (kvert==klev) THEN
682	dzlay(i,kvert) = 2(rd temp(i,kvert) / rg * log(paprs(i,kvert)/pplay(i,kvert)))
683	ELSE
684	dzlay(i,kvert) = rd * temp(i,kvert) / rg * log(paprs(i,kvert)/paprs(i,kvert+1))
685	ENDIF
686	dzinterf = rd * temp(i,kvert) / rg * log(pplay(i,kvert-1)/pplay(i,kvert))
687	zlay(i,kvert) = zlay(i,kvert-1) + dzinterf
688	ENDDO
689	ENDDO
690
691	DO i=1,klon
692	k_top = k
693	IF (rneb(i,k) <= tresh_cl) THEN
694	bool_cl = .FALSE.
695	ELSE
696	bool_cl = .TRUE.
697	ENDIF
698
699	DO WHILE ((bool_cl) .AND. (k_top <= klev))
700	! find cloud top
701	IF (rneb(i,k_top) > tresh_cl) THEN
702	k_top = k_top + 1
703	ELSE
704	bool_cl = .FALSE.
705	k_top = k_top - 1
706	ENDIF
707	ENDDO
708	k_top=min(k_top,klev)
709
710	!dist to top is dist between current layer and layer of cloud top (from middle to middle) + dist middle to
711	!interf for layer of cloud top
712	distcltop1D(i) = zlay(i,k_top) - zlay(i,k) + dzlay(i,k_top)/2
713	temp_cltop(i) = temp(i,k_top)
714	ENDDO ! klon
715
716	END SUBROUTINE DISTANCE_TO_CLOUD_TOP
717	!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
718
719	END MODULE lmdz_lscp_tools
720
721

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