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sulfate_aer_mod.F90 @ 3605

Last change on this file since 3605 was 3605, checked in by lguez, 4 years ago
Merge revisions 3427:3600 of trunk into branch `Ocean_skin`
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1	!
2	! $Id: sulfate_aer_mod.F90 3605 2019-11-21 15:43:45Z lguez $
3	!
4	MODULE sulfate_aer_mod
5
6	! microphysical routines based on UPMC aerosol model by Slimane Bekki
7	! adapted for stratospheric sulfate aerosol in LMDZ by Christoph Kleinschmitt
8
9	CONTAINS
10
11	!********************************************************************
12	SUBROUTINE STRACOMP(sh,t_seri,pplay)
13
14	! AEROSOL H2SO4 WEIGHT FRACTION AS A FUNCTION OF PH2O AND TEMPERATURE
15	! ----------------------------------------------------------------
16	! INPUT:
17	! H2O: VMR of H2O
18	! t_seri: temperature (K)
19	! PMB: pressure (mb)
20	! klon: number of latitude bands in the model domain
21	! klev: number of altitude bands in the model domain
22	! for IFS: perhaps add another dimension for longitude
23	!
24	! OUTPUT:
25	! R2SO4: aerosol H2SO4 weight fraction (percent)
26
27	USE dimphy, ONLY : klon,klev
28	USE aerophys
29	USE phys_local_var_mod, ONLY: R2SO4
30
31	IMPLICIT NONE
32
33	REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature
34	REAL,DIMENSION(klon,klev),INTENT(IN) :: pplay ! pression pour le mileu de chaque couche (en Pa)
35	REAL,DIMENSION(klon,klev),INTENT(IN) :: sh ! humidite specifique
36
37	REAL PMB(klon,klev), H2O(klon,klev)
38	!
39	! working variables
40	INTEGER I,J,K
41	REAL TP, PH2O, VAL, A, B
42	! local variables to be saved on exit
43	INTEGER INSTEP
44	INTEGER, PARAMETER :: N=16, M=28
45	DATA INSTEP/0/
46	REAL F(N,M)
47	REAL XC(N)
48	REAL YC(M)
49	REAL XC1, XC16, YC1, YC28
50	!
51	SAVE INSTEP,F,XC,YC,XC1,XC16,YC1,YC28
52
53	! convert pplay (in Pa) to PMB (in mb)
54	PMB(:,:)=pplay(:,:)/100.0
55
56	! convert specific humidity sh (in kg/kg) to VMR H2O
57	H2O(:,:)=sh(:,:)*mAIRmol/mH2Omol
58
59	IF(INSTEP.EQ.0) THEN
60
61	INSTEP=1
62	XC(1)=0.01
63	XC(2)=0.1
64	XC(3)=0.5
65	XC(4)=1.0
66	XC(5)=1.5
67	XC(6)=2.0
68	XC(7)=3.0
69	XC(8)=5.0
70	XC(9)=6.0
71	XC(10)=8.0
72	XC(11)=10.0
73	XC(12)=12.0
74	XC(13)=15.0
75	XC(14)=20.0
76	XC(15)=30.0
77	XC(16)=100.0
78	!
79	YC(1)=175.0
80	DO I=2,28
81	YC(I)=YC(I-1)+5.0
82	ENDDO
83
84	! CONVERSION mb IN 1.0E-4mB
85	DO I=1,16
86	XC(I)=XC(I)*1.0E-4
87	ENDDO
88	!
89	XC1=XC(1)+1.E-10
90	XC16=XC(16)-1.E-8
91	YC1=YC(1)+1.E-5
92	YC28=YC(28)-1.E-5
93
94	F(6,4)=43.45
95	F(6,5)=53.96
96	F(6,6)=60.62
97	F(6,7)=65.57
98	F(6,8)=69.42
99	F(6,9)=72.56
100	F(6,10)=75.17
101	F(6,11)=77.38
102	F(6,12)=79.3
103	F(6,13)=80.99
104	F(6,14)=82.5
105	F(6,15)=83.92
106	F(6,16)=85.32
107	F(6,17)=86.79
108	F(6,18)=88.32
109	!
110	! ADD FACTOR BECAUSE THE SLOP IS TOO IMPORTANT
111	! NOT FOR THIS ONE BUT THE REST
112	! LOG DOESN'T WORK
113	A=(F(6,5)-F(6,4))/( (YC(5)-YC(4))*2.0)
114	B=-A*YC(4) + F(6,4)
115	F(6,1)=A*YC(1) + B
116	F(6,2)=A*YC(2) + B
117	F(6,3)=A*YC(3) + B
118	!
119	F(7,4)=37.02
120	F(7,5)=49.46
121	F(7,6)=57.51
122	F(7,7)=63.12
123	F(7,8)=67.42
124	F(7,9)=70.85
125	F(7,10)=73.70
126	F(7,11)=76.09
127	F(7,12)=78.15
128	F(7,13)=79.96
129	F(7,14)=81.56
130	F(7,15)=83.02
131	F(7,16)=84.43
132	F(7,17)=85.85
133	F(7,18)=87.33
134	!
135	A=(F(7,5)-F(7,4))/( (YC(5)-YC(4))*2.0)
136	B=-A*YC(4) + F(7,4)
137	F(7,1)=A*YC(1) + B
138	F(7,2)=A*YC(2) + B
139	F(7,3)=A*YC(3) + B
140	!
141	F(8,4)=25.85
142	F(8,5)=42.26
143	F(8,6)=52.78
144	F(8,7)=59.55
145	F(8,8)=64.55
146	F(8,9)=68.45
147	F(8,10)=71.63
148	F(8,11)=74.29
149	F(8,12)=76.56
150	F(8,13)=78.53
151	F(8,14)=80.27
152	F(8,15)=81.83
153	F(8,16)=83.27
154	F(8,17)=84.67
155	F(8,18)=86.10
156	!
157	A=(F(8,5)-F(8,4))/( (YC(5)-YC(4))*2.5 )
158	B=-A*YC(4) + F(8,4)
159	F(8,1)=A*YC(1) + B
160	F(8,2)=A*YC(2) + B
161	F(8,3)=A*YC(3) + B
162	!
163	F(9,4)=15.38
164	F(9,5)=39.35
165	F(9,6)=50.73
166	F(9,7)=58.11
167	F(9,8)=63.41
168	F(9,9)=67.52
169	F(9,10)=70.83
170	F(9,11)=73.6
171	F(9,12)=75.95
172	F(9,13)=77.98
173	F(9,14)=79.77
174	F(9,15)=81.38
175	F(9,16)=82.84
176	F(9,17)=84.25
177	F(9,18)=85.66
178	!
179	A=(F(9,5)-F(9,4))/( (YC(5)-YC(4))*7.0)
180	B=-A*YC(4) + F(9,4)
181	F(9,1)=A*YC(1) + B
182	F(9,2)=A*YC(2) + B
183	F(9,3)=A*YC(3) + B
184	!
185	F(10,4)=0.0
186	F(10,5)=34.02
187	F(10,6)=46.93
188	F(10,7)=55.61
189	F(10,8)=61.47
190	F(10,9)=65.94
191	F(10,10)=69.49
192	F(10,11)=72.44
193	F(10,12)=74.93
194	F(10,13)=77.08
195	F(10,14)=78.96
196	F(10,15)=80.63
197	F(10,16)=82.15
198	F(10,17)=83.57
199	F(10,18)=84.97
200	!
201	A=(F(10,6)-F(10,5))/( (YC(6)-YC(5))*1.5)
202	B=-A*YC(5) + F(10,5)
203	F(10,1)=A*YC(1) + B
204	F(10,2)=A*YC(2) + B
205	F(10,3)=A*YC(3) + B
206	F(10,4)=A*YC(4) + B
207	!
208	F(11,4)=0.0
209	F(11,5)=29.02
210	F(11,6)=43.69
211	F(11,7)=53.44
212	F(11,8)=59.83
213	F(11,9)=64.62
214	F(11,10)=68.39
215	F(11,11)=71.48
216	F(11,12)=74.10
217	F(11,13)=76.33
218	F(11,14)=78.29
219	F(11,15)=80.02
220	F(11,16)=81.58
221	F(11,17)=83.03
222	F(11,18)=84.44
223	!
224	A=(F(11,6)-F(11,5))/( (YC(6)-YC(5))*2.5 )
225	B=-A*YC(5) + F(11,5)
226	F(11,1)=A*YC(1) + B
227	F(11,2)=A*YC(2) + B
228	F(11,3)=A*YC(3) + B
229	F(11,4)=A*YC(4) + B
230	!
231	F(12,4)=0.0
232	F(12,5)=23.13
233	F(12,6)=40.86
234	F(12,7)=51.44
235	F(12,8)=58.38
236	F(12,9)=63.47
237	F(12,10)=67.43
238	F(12,11)=70.66
239	F(12,12)=73.38
240	F(12,13)=75.70
241	F(12,14)=77.72
242	F(12,15)=79.51
243	F(12,16)=81.11
244	F(12,17)=82.58
245	F(12,18)=83.99
246	!
247	A=(F(12,6)-F(12,5))/( (YC(6)-YC(5))*3.5 )
248	B=-A*YC(5) + F(12,5)
249	F(12,1)=A*YC(1) + B
250	F(12,2)=A*YC(2) + B
251	F(12,3)=A*YC(3) + B
252	F(12,4)=A*YC(4) + B
253	!
254	F(13,4)=0.0
255	F(13,5)=0.0
256	F(13,6)=36.89
257	F(13,7)=48.63
258	F(13,8)=56.46
259	F(13,9)=61.96
260	F(13,10)=66.19
261	F(13,11)=69.6
262	F(13,12)=72.45
263	F(13,13)=74.89
264	F(13,14)=76.99
265	F(13,15)=78.85
266	F(13,16)=80.50
267	F(13,17)=82.02
268	F(13,18)=83.44
269	!
270	A=(F(13,7)-F(13,6))/( (YC(7)-YC(6))*2.0)
271	B=-A*YC(6) + F(13,6)
272	F(13,1)=A*YC(1) + B
273	F(13,2)=A*YC(2) + B
274	F(13,3)=A*YC(3) + B
275	F(13,4)=A*YC(4) + B
276	F(13,5)=A*YC(5) + B
277	!
278	F(14,4)=0.0
279	F(14,5)=0.0
280	F(14,6)=30.82
281	F(14,7)=44.49
282	F(14,8)=53.69
283	F(14,9)=59.83
284	F(14,10)=64.47
285	F(14,11)=68.15
286	F(14,12)=71.19
287	F(14,13)=73.77
288	F(14,14)=76.0
289	F(14,15)=77.95
290	F(14,16)=79.69
291	F(14,17)=81.26
292	F(14,18)=82.72
293	!
294	A=(F(14,7)-F(14,6))/( (YC(7)-YC(6))*2.5 )
295	B=-A*YC(6) + F(14,6)
296	F(14,1)=A*YC(1) + B
297	F(14,2)=A*YC(2) + B
298	F(14,3)=A*YC(3) + B
299	F(14,4)=A*YC(4) + B
300	F(14,5)=A*YC(5) + B
301	!
302	F(15,4)=0.0
303	F(15,5)=0.0
304	F(15,6)=0.0
305	F(15,7)=37.71
306	F(15,8)=48.49
307	F(15,9)=56.40
308	F(15,10)=61.75
309	F(15,11)=65.89
310	F(15,12)=69.25
311	F(15,13)=72.07
312	F(15,14)=74.49
313	F(15,15)=76.59
314	F(15,16)=78.45
315	F(15,17)=80.12
316	F(15,18)=81.64
317	!
318	A=(F(15,8)-F(15,7))/( (YC(8)-YC(7))*1.5)
319	B=-A*YC(7) + F(15,7)
320	F(15,1)=A*YC(1) + B
321	F(15,2)=A*YC(2) + B
322	F(15,3)=A*YC(3) + B
323	F(15,4)=A*YC(4) + B
324	F(15,5)=A*YC(5) + B
325	F(15,6)=A*YC(6) + B
326
327	! SUPPOSE THAT AT GIVEN AND PH2O<2mB,
328	! %H2SO4 = A *LOG(PH2O) +B
329	! XC(1-5) :EXTENSION LEFT (LOW H2O)
330	DO J=1,18
331	A=(F(6,J)-F(7,J))/(LOG(XC(6))-LOG(XC(7)))
332	B=-A*LOG(XC(6)) + F(6,J)
333	DO K=1,5
334	F(K,J)=A*LOG(XC(K)) + B
335	ENDDO
336	ENDDO
337
338	! XC(16) :EXTENSION RIGHT (HIGH H2O)
339	DO J=1,18
340	A=(F(15,J)-F(14,J))/(XC(15)-XC(14))
341	B=-A*XC(15) + F(15,J)
342	F(16,J)=A*XC(16) + B
343	! F(16,2)=1.0
344	ENDDO
345
346	! YC(16-25) :EXTENSION DOWN (HIGH T)
347	DO I=1,16
348	A=(F(I,18)-F(I,17))/(YC(18)-YC(17))
349	B=-A*YC(18) + F(I,18)
350	DO K=19,28
351	F(I,K)=A*YC(K) + B
352	ENDDO
353	ENDDO
354
355	! MANUAL CORRECTIONS
356	DO J=1,10
357	F(1,J)=94.0
358	ENDDO
359
360	DO J=1,6
361	F(2,J)=77.0 +REAL(J)
362	ENDDO
363
364	DO J=1,7
365	F(16,J)=9.0
366	ENDDO
367
368	DO I=1,16
369	DO J=1,28
370	IF (F(I,J).LT.9.0) F(I,J)=30.0
371	IF (F(I,J).GT.99.99) F(I,J)=99.99
372	ENDDO
373	ENDDO
374
375	ENDIF
376
377	DO I=1,klon
378	DO J=1,klev
379	TP=t_seri(I,J)
380	IF (TP.LT.175.1) TP=175.1
381	! Partial pressure of H2O (mb)
382	PH2O =PMB(I,J)*H2O(I,J)
383	IF (PH2O.LT.XC1) THEN
384	R2SO4(I,J)=99.99
385	! PH2O=XC(1)+1.0E-10
386	ELSE
387	IF (PH2O.GT.XC16) PH2O=XC16
388	! SIMPLE LINEAR INTERPOLATIONS
389	CALL FIND(PH2O,TP,XC,YC,F,VAL,N,M)
390	IF (PMB(I,J).GE.10.0.AND.VAL.LT.60.0) VAL=60.0
391	R2SO4(I,J)=VAL
392	ENDIF
393	ENDDO
394	ENDDO
395
396	END SUBROUTINE
397
398	!****************************************************************
399	SUBROUTINE STRAACT(ACTSO4)
400
401	! H2SO4 ACTIVITY (GIAUQUE) AS A FUNCTION OF H2SO4 WP
402	! ----------------------------------------
403	! INPUT:
404	! H2SO4: VMR of H2SO4
405	! klon: number of latitude bands in the model domain
406	! klev: number of altitude bands in the model domain
407	! for IFS: perhaps add another dimension for longitude
408	!
409	! OUTPUT:
410	! ACTSO4: H2SO4 activity (percent)
411
412	USE dimphy, ONLY : klon,klev
413	USE phys_local_var_mod, ONLY: R2SO4
414
415	IMPLICIT NONE
416
417	REAL ACTSO4(klon,klev)
418
419	! Working variables
420	INTEGER NN,I,J,JX,JX1
421	REAL TC,TB,TA,XT
422	PARAMETER (NN=109)
423	REAL XC(NN), X(NN)
424
425	! H2SO4 activity
426	DATA X/ &
427	& 0.0,0.25,0.78,1.437,2.19,3.07,4.03,5.04,6.08 &
428	& ,7.13,8.18,14.33,18.59,28.59,39.17,49.49 &
429	& ,102.4,157.8,215.7,276.9,341.6,409.8,481.5,556.6 &
430	& ,635.5,719.,808.,902.,1000.,1103.,1211.,1322.,1437.,1555. &
431	& ,1677.,1800.,1926.,2054.,2183.,2312.,2442.,2572.,2701.,2829. &
432	& ,2955.,3080.,3203.,3325.,3446.,3564.,3681.,3796.,3910.,4022. &
433	& ,4134.,4351.,4564.,4771.,4974.,5171.,5364.,5551.,5732.,5908. &
434	& ,6079.,6244.,6404.,6559.,6709.,6854.,6994.,7131.,7264.,7393. &
435	& ,7520.,7821.,8105.,8373.,8627.,8867.,9093.,9308.,9511.,9703. &
436	& ,9885.,10060.,10225.,10535.,10819.,11079.,11318.,11537. &
437	& ,11740.,12097.,12407.,12676.,12915.,13126.,13564.,13910. &
438	& ,14191.,14423.,14617.,14786.,10568.,15299.,15491.,15654. &
439	& ,15811./
440	! H2SO4 weight fraction (percent)
441	DATA XC/ &
442	& 100.0,99.982,99.963,99.945,99.927,99.908,99.890,99.872 &
443	& ,99.853,99.835,99.817,99.725,99.634,99.452,99.270 &
444	& ,99.090,98.196,97.319,96.457,95.610,94.777,93.959,93.156 &
445	& ,92.365,91.588,90.824,90.073,89.334,88.607,87.892,87.188 &
446	& ,86.495,85.814,85.143,84.482,83.832,83.191,82.560,81.939 &
447	& ,81.327,80.724,80.130,79.545,78.968,78.399,77.839,77.286 &
448	& ,76.741,76.204,75.675,75.152,74.637,74.129,73.628,73.133 &
449	& ,72.164,71.220,70.300,69.404,68.530,67.678,66.847,66.037 &
450	& ,65.245,64.472,63.718,62.981,62.261,61.557,60.868,60.195 &
451	& ,59.537,58.893,58.263,57.646,56.159,54.747,53.405,52.126 &
452	& ,50.908,49.745,48.634,47.572,46.555,45.580,44.646,43.749 &
453	& ,42.059,40.495,39.043,37.691,36.430,35.251,33.107,31.209 &
454	& ,29.517,27.999,26.629,23.728,21.397,19.482,17.882,16.525 &
455	& ,15.360,13.461,11.980,10.792,9.819,8.932/
456
457	DO I=1,klon
458	DO J=1,klev
459	! HERE LINEAR INTERPOLATIONS
460	XT=R2SO4(I,J)
461	CALL POSACT(XT,XC,NN,JX)
462	JX1=JX+1
463	IF(JX.EQ.0) THEN
464	ACTSO4(I,J)=0.0
465	ELSE IF(JX.GE.NN) THEN
466	ACTSO4(I,J)=15811.0
467	ELSE
468	TC=XT -XC(JX)
469	TB=X(JX1) -X(JX)
470	TA=XC(JX1) -XC(JX)
471	TA=TB/TA
472	ACTSO4(I,J)=X(JX) + TA*TC
473	ENDIF
474	ENDDO
475	ENDDO
476
477	END SUBROUTINE
478
479	!****************************************************************
480	SUBROUTINE DENH2SA(t_seri)
481
482	! AERSOL DENSITY AS A FUNCTION OF H2SO4 WEIGHT PERCENT AND T
483	! ---------------------------------------------
484	! VERY ROUGH APPROXIMATION (SEE FOR WATER IN HANDBOOK
485	! LINEAR 2% FOR 30 DEGREES with RESPECT TO WATER)
486	!
487	! INPUT:
488	! R2SO4: aerosol H2SO4 weight fraction (percent)
489	! t_seri: temperature (K)
490	! klon: number of latitude bands in the model domain
491	! klev: number of altitude bands in the model domain
492	! for IFS: perhaps add another dimension for longitude
493	!
494	! OUTPUT:
495	! DENSO4: aerosol mass density (gr/cm3 = aerosol mass/aerosol volume)
496	!
497	USE dimphy, ONLY : klon,klev
498	USE phys_local_var_mod, ONLY: R2SO4, DENSO4
499
500	IMPLICIT NONE
501
502	REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature
503
504	INTEGER I,J
505
506	! Loop on model domain (2 dimension for UPMC model; 3 for IFS)
507	DO I=1,klon
508	DO J=1,klev
509	! RO AT 20C
510	DENSO4(I,J)=0.78681252E-5R2SO4(I,J)R2SO4(I,J)+ 0.82185978E-2*R2SO4(I,J)+0.97968381
511	DENSO4(I,J)=DENSO4(I,J)* ( 1.0 - (t_seri(I,J)-293.0)*0.02/30.0 )
512	ENDDO
513	ENDDO
514
515	END SUBROUTINE
516
517	!***********************************************************
518	SUBROUTINE FIND(X,Y,XC,YC,F,VAL,N,M)
519	!
520	! BI-LINEAR INTERPOLATION
521
522	! INPUT:
523	! X: Partial pressure of H2O (mb)
524	! Y: temperature (K)
525	! XC: Table partial pressure of H2O (mb)
526	! YC: Table temperature (K)
527	! F: Table aerosol H2SO4 weight fraction=f(XC,YC) (percent)
528	!
529	! OUTPUT:
530	! VAL: aerosol H2SO4 weight fraction (percent)
531
532	IMPLICIT NONE
533
534	INTEGER N,M
535	REAL X,Y,XC(N),YC(M),F(N,M),VAL
536	!
537	! working variables
538	INTEGER IERX,IERY,JX,JY,JXP1,JYP1
539	REAL SXY,SX1Y,SX1Y1,SXY1,TA,TB,T,UA,UB,U
540
541	IERX=0
542	IERY=0
543	CALL POSITION(XC,X,N,JX,IERX)
544	CALL POSITION(YC,Y,M,JY,IERY)
545
546	IF(JX.EQ.0.OR.IERY.EQ.1) THEN
547	VAL=99.99
548	RETURN
549	ENDIF
550
551	IF(JY.EQ.0.OR.IERX.EQ.1) THEN
552	VAL=9.0
553	RETURN
554	ENDIF
555
556	JXP1=JX+1
557	JYP1=JY+1
558	SXY=F(JX, JY )
559	SX1Y=F(JXP1,JY )
560	SX1Y1=F(JXP1,JYP1)
561	SXY1=F(JX, JYP1)
562
563	! x-slope.
564	TA=X -XC(JX)
565	TB=XC(JXP1)-XC(JX)
566	T=TA/TB
567
568	! y-slope.
569	UA=Y -YC(JY)
570	UB=YC(JYP1)-YC(JY)
571	U=UA/UB
572
573	! Use bilinear interpolation to determine function at point X,Y.
574	VAL=(1.-T)(1.-U)SXY + T(1.0-U)SX1Y + TUSX1Y1 + (1.0-T)USXY1
575
576	IF(VAL.LT.9.0) VAL=9.0
577	IF(VAL.GT.99.99) VAL=99.99
578
579	RETURN
580	END SUBROUTINE
581	!****************************************************************
582	SUBROUTINE POSITION(XC,X,N,JX,IER)
583
584	IMPLICIT NONE
585
586	INTEGER N,JX,IER,I
587	REAL X,XC(N)
588
589	IER=0
590	IF(X.LT.XC(1)) THEN
591	JX=0
592	ELSE
593	DO 10 I=1,N
594	IF (X.LT.XC(I)) GO TO 20
595	10 CONTINUE
596	IER=1
597	20 JX=I-1
598	ENDIF
599
600	RETURN
601	END SUBROUTINE
602	!********************************************************************
603	SUBROUTINE POSACT(XT,X,N,JX)
604
605	! POSITION OF XT IN THE ARRAY X
606	! -----------------------------------------------
607
608	IMPLICIT NONE
609
610	INTEGER N
611	REAL XT,X(N)
612	! Working variables
613	INTEGER JX,I
614
615	IF(XT.GT.X(1)) THEN
616	JX=0
617	ELSE
618	DO 10 I=1,N
619	IF (XT.GT.X(I)) GO TO 20
620	10 CONTINUE
621	20 JX=I
622	ENDIF
623
624	RETURN
625	END SUBROUTINE
626
627	END MODULE sulfate_aer_mod

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