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sulfate_aer_mod.F90 @ 3871

Last change on this file since 3871 was 3663, checked in by oboucher, 5 years ago
adding some missing OMP THREADPRIVATE in StratAer? code
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File size: 15.1 KB

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1	!
2	! $Id: sulfate_aer_mod.F90 3663 2020-04-16 14:59:06Z acozic $
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	!$OMP THREADPRIVATE(INSTEP,F,XC,YC,XC1,XC16,YC1,YC28)
53
54	! convert pplay (in Pa) to PMB (in mb)
55	PMB(:,:)=pplay(:,:)/100.0
56
57	! convert specific humidity sh (in kg/kg) to VMR H2O
58	H2O(:,:)=sh(:,:)*mAIRmol/mH2Omol
59
60	IF(INSTEP.EQ.0) THEN
61
62	INSTEP=1
63	XC(1)=0.01
64	XC(2)=0.1
65	XC(3)=0.5
66	XC(4)=1.0
67	XC(5)=1.5
68	XC(6)=2.0
69	XC(7)=3.0
70	XC(8)=5.0
71	XC(9)=6.0
72	XC(10)=8.0
73	XC(11)=10.0
74	XC(12)=12.0
75	XC(13)=15.0
76	XC(14)=20.0
77	XC(15)=30.0
78	XC(16)=100.0
79	!
80	YC(1)=175.0
81	DO I=2,28
82	YC(I)=YC(I-1)+5.0
83	ENDDO
84
85	! CONVERSION mb IN 1.0E-4mB
86	DO I=1,16
87	XC(I)=XC(I)*1.0E-4
88	ENDDO
89	!
90	XC1=XC(1)+1.E-10
91	XC16=XC(16)-1.E-8
92	YC1=YC(1)+1.E-5
93	YC28=YC(28)-1.E-5
94
95	F(6,4)=43.45
96	F(6,5)=53.96
97	F(6,6)=60.62
98	F(6,7)=65.57
99	F(6,8)=69.42
100	F(6,9)=72.56
101	F(6,10)=75.17
102	F(6,11)=77.38
103	F(6,12)=79.3
104	F(6,13)=80.99
105	F(6,14)=82.5
106	F(6,15)=83.92
107	F(6,16)=85.32
108	F(6,17)=86.79
109	F(6,18)=88.32
110	!
111	! ADD FACTOR BECAUSE THE SLOP IS TOO IMPORTANT
112	! NOT FOR THIS ONE BUT THE REST
113	! LOG DOESN'T WORK
114	A=(F(6,5)-F(6,4))/( (YC(5)-YC(4))*2.0)
115	B=-A*YC(4) + F(6,4)
116	F(6,1)=A*YC(1) + B
117	F(6,2)=A*YC(2) + B
118	F(6,3)=A*YC(3) + B
119	!
120	F(7,4)=37.02
121	F(7,5)=49.46
122	F(7,6)=57.51
123	F(7,7)=63.12
124	F(7,8)=67.42
125	F(7,9)=70.85
126	F(7,10)=73.70
127	F(7,11)=76.09
128	F(7,12)=78.15
129	F(7,13)=79.96
130	F(7,14)=81.56
131	F(7,15)=83.02
132	F(7,16)=84.43
133	F(7,17)=85.85
134	F(7,18)=87.33
135	!
136	A=(F(7,5)-F(7,4))/( (YC(5)-YC(4))*2.0)
137	B=-A*YC(4) + F(7,4)
138	F(7,1)=A*YC(1) + B
139	F(7,2)=A*YC(2) + B
140	F(7,3)=A*YC(3) + B
141	!
142	F(8,4)=25.85
143	F(8,5)=42.26
144	F(8,6)=52.78
145	F(8,7)=59.55
146	F(8,8)=64.55
147	F(8,9)=68.45
148	F(8,10)=71.63
149	F(8,11)=74.29
150	F(8,12)=76.56
151	F(8,13)=78.53
152	F(8,14)=80.27
153	F(8,15)=81.83
154	F(8,16)=83.27
155	F(8,17)=84.67
156	F(8,18)=86.10
157	!
158	A=(F(8,5)-F(8,4))/( (YC(5)-YC(4))*2.5 )
159	B=-A*YC(4) + F(8,4)
160	F(8,1)=A*YC(1) + B
161	F(8,2)=A*YC(2) + B
162	F(8,3)=A*YC(3) + B
163	!
164	F(9,4)=15.38
165	F(9,5)=39.35
166	F(9,6)=50.73
167	F(9,7)=58.11
168	F(9,8)=63.41
169	F(9,9)=67.52
170	F(9,10)=70.83
171	F(9,11)=73.6
172	F(9,12)=75.95
173	F(9,13)=77.98
174	F(9,14)=79.77
175	F(9,15)=81.38
176	F(9,16)=82.84
177	F(9,17)=84.25
178	F(9,18)=85.66
179	!
180	A=(F(9,5)-F(9,4))/( (YC(5)-YC(4))*7.0)
181	B=-A*YC(4) + F(9,4)
182	F(9,1)=A*YC(1) + B
183	F(9,2)=A*YC(2) + B
184	F(9,3)=A*YC(3) + B
185	!
186	F(10,4)=0.0
187	F(10,5)=34.02
188	F(10,6)=46.93
189	F(10,7)=55.61
190	F(10,8)=61.47
191	F(10,9)=65.94
192	F(10,10)=69.49
193	F(10,11)=72.44
194	F(10,12)=74.93
195	F(10,13)=77.08
196	F(10,14)=78.96
197	F(10,15)=80.63
198	F(10,16)=82.15
199	F(10,17)=83.57
200	F(10,18)=84.97
201	!
202	A=(F(10,6)-F(10,5))/( (YC(6)-YC(5))*1.5)
203	B=-A*YC(5) + F(10,5)
204	F(10,1)=A*YC(1) + B
205	F(10,2)=A*YC(2) + B
206	F(10,3)=A*YC(3) + B
207	F(10,4)=A*YC(4) + B
208	!
209	F(11,4)=0.0
210	F(11,5)=29.02
211	F(11,6)=43.69
212	F(11,7)=53.44
213	F(11,8)=59.83
214	F(11,9)=64.62
215	F(11,10)=68.39
216	F(11,11)=71.48
217	F(11,12)=74.10
218	F(11,13)=76.33
219	F(11,14)=78.29
220	F(11,15)=80.02
221	F(11,16)=81.58
222	F(11,17)=83.03
223	F(11,18)=84.44
224	!
225	A=(F(11,6)-F(11,5))/( (YC(6)-YC(5))*2.5 )
226	B=-A*YC(5) + F(11,5)
227	F(11,1)=A*YC(1) + B
228	F(11,2)=A*YC(2) + B
229	F(11,3)=A*YC(3) + B
230	F(11,4)=A*YC(4) + B
231	!
232	F(12,4)=0.0
233	F(12,5)=23.13
234	F(12,6)=40.86
235	F(12,7)=51.44
236	F(12,8)=58.38
237	F(12,9)=63.47
238	F(12,10)=67.43
239	F(12,11)=70.66
240	F(12,12)=73.38
241	F(12,13)=75.70
242	F(12,14)=77.72
243	F(12,15)=79.51
244	F(12,16)=81.11
245	F(12,17)=82.58
246	F(12,18)=83.99
247	!
248	A=(F(12,6)-F(12,5))/( (YC(6)-YC(5))*3.5 )
249	B=-A*YC(5) + F(12,5)
250	F(12,1)=A*YC(1) + B
251	F(12,2)=A*YC(2) + B
252	F(12,3)=A*YC(3) + B
253	F(12,4)=A*YC(4) + B
254	!
255	F(13,4)=0.0
256	F(13,5)=0.0
257	F(13,6)=36.89
258	F(13,7)=48.63
259	F(13,8)=56.46
260	F(13,9)=61.96
261	F(13,10)=66.19
262	F(13,11)=69.6
263	F(13,12)=72.45
264	F(13,13)=74.89
265	F(13,14)=76.99
266	F(13,15)=78.85
267	F(13,16)=80.50
268	F(13,17)=82.02
269	F(13,18)=83.44
270	!
271	A=(F(13,7)-F(13,6))/( (YC(7)-YC(6))*2.0)
272	B=-A*YC(6) + F(13,6)
273	F(13,1)=A*YC(1) + B
274	F(13,2)=A*YC(2) + B
275	F(13,3)=A*YC(3) + B
276	F(13,4)=A*YC(4) + B
277	F(13,5)=A*YC(5) + B
278	!
279	F(14,4)=0.0
280	F(14,5)=0.0
281	F(14,6)=30.82
282	F(14,7)=44.49
283	F(14,8)=53.69
284	F(14,9)=59.83
285	F(14,10)=64.47
286	F(14,11)=68.15
287	F(14,12)=71.19
288	F(14,13)=73.77
289	F(14,14)=76.0
290	F(14,15)=77.95
291	F(14,16)=79.69
292	F(14,17)=81.26
293	F(14,18)=82.72
294	!
295	A=(F(14,7)-F(14,6))/( (YC(7)-YC(6))*2.5 )
296	B=-A*YC(6) + F(14,6)
297	F(14,1)=A*YC(1) + B
298	F(14,2)=A*YC(2) + B
299	F(14,3)=A*YC(3) + B
300	F(14,4)=A*YC(4) + B
301	F(14,5)=A*YC(5) + B
302	!
303	F(15,4)=0.0
304	F(15,5)=0.0
305	F(15,6)=0.0
306	F(15,7)=37.71
307	F(15,8)=48.49
308	F(15,9)=56.40
309	F(15,10)=61.75
310	F(15,11)=65.89
311	F(15,12)=69.25
312	F(15,13)=72.07
313	F(15,14)=74.49
314	F(15,15)=76.59
315	F(15,16)=78.45
316	F(15,17)=80.12
317	F(15,18)=81.64
318	!
319	A=(F(15,8)-F(15,7))/( (YC(8)-YC(7))*1.5)
320	B=-A*YC(7) + F(15,7)
321	F(15,1)=A*YC(1) + B
322	F(15,2)=A*YC(2) + B
323	F(15,3)=A*YC(3) + B
324	F(15,4)=A*YC(4) + B
325	F(15,5)=A*YC(5) + B
326	F(15,6)=A*YC(6) + B
327
328	! SUPPOSE THAT AT GIVEN AND PH2O<2mB,
329	! %H2SO4 = A *LOG(PH2O) +B
330	! XC(1-5) :EXTENSION LEFT (LOW H2O)
331	DO J=1,18
332	A=(F(6,J)-F(7,J))/(LOG(XC(6))-LOG(XC(7)))
333	B=-A*LOG(XC(6)) + F(6,J)
334	DO K=1,5
335	F(K,J)=A*LOG(XC(K)) + B
336	ENDDO
337	ENDDO
338
339	! XC(16) :EXTENSION RIGHT (HIGH H2O)
340	DO J=1,18
341	A=(F(15,J)-F(14,J))/(XC(15)-XC(14))
342	B=-A*XC(15) + F(15,J)
343	F(16,J)=A*XC(16) + B
344	! F(16,2)=1.0
345	ENDDO
346
347	! YC(16-25) :EXTENSION DOWN (HIGH T)
348	DO I=1,16
349	A=(F(I,18)-F(I,17))/(YC(18)-YC(17))
350	B=-A*YC(18) + F(I,18)
351	DO K=19,28
352	F(I,K)=A*YC(K) + B
353	ENDDO
354	ENDDO
355
356	! MANUAL CORRECTIONS
357	DO J=1,10
358	F(1,J)=94.0
359	ENDDO
360
361	DO J=1,6
362	F(2,J)=77.0 +REAL(J)
363	ENDDO
364
365	DO J=1,7
366	F(16,J)=9.0
367	ENDDO
368
369	DO I=1,16
370	DO J=1,28
371	IF (F(I,J).LT.9.0) F(I,J)=30.0
372	IF (F(I,J).GT.99.99) F(I,J)=99.99
373	ENDDO
374	ENDDO
375
376	ENDIF
377
378	DO I=1,klon
379	DO J=1,klev
380	TP=t_seri(I,J)
381	IF (TP.LT.175.1) TP=175.1
382	! Partial pressure of H2O (mb)
383	PH2O =PMB(I,J)*H2O(I,J)
384	IF (PH2O.LT.XC1) THEN
385	R2SO4(I,J)=99.99
386	! PH2O=XC(1)+1.0E-10
387	ELSE
388	IF (PH2O.GT.XC16) PH2O=XC16
389	! SIMPLE LINEAR INTERPOLATIONS
390	CALL FIND(PH2O,TP,XC,YC,F,VAL,N,M)
391	IF (PMB(I,J).GE.10.0.AND.VAL.LT.60.0) VAL=60.0
392	R2SO4(I,J)=VAL
393	ENDIF
394	ENDDO
395	ENDDO
396
397	END SUBROUTINE
398
399	!****************************************************************
400	SUBROUTINE STRAACT(ACTSO4)
401
402	! H2SO4 ACTIVITY (GIAUQUE) AS A FUNCTION OF H2SO4 WP
403	! ----------------------------------------
404	! INPUT:
405	! H2SO4: VMR of H2SO4
406	! klon: number of latitude bands in the model domain
407	! klev: number of altitude bands in the model domain
408	! for IFS: perhaps add another dimension for longitude
409	!
410	! OUTPUT:
411	! ACTSO4: H2SO4 activity (percent)
412
413	USE dimphy, ONLY : klon,klev
414	USE phys_local_var_mod, ONLY: R2SO4
415
416	IMPLICIT NONE
417
418	REAL ACTSO4(klon,klev)
419
420	! Working variables
421	INTEGER NN,I,J,JX,JX1
422	REAL TC,TB,TA,XT
423	PARAMETER (NN=109)
424	REAL XC(NN), X(NN)
425
426	! H2SO4 activity
427	DATA X/ &
428	& 0.0,0.25,0.78,1.437,2.19,3.07,4.03,5.04,6.08 &
429	& ,7.13,8.18,14.33,18.59,28.59,39.17,49.49 &
430	& ,102.4,157.8,215.7,276.9,341.6,409.8,481.5,556.6 &
431	& ,635.5,719.,808.,902.,1000.,1103.,1211.,1322.,1437.,1555. &
432	& ,1677.,1800.,1926.,2054.,2183.,2312.,2442.,2572.,2701.,2829. &
433	& ,2955.,3080.,3203.,3325.,3446.,3564.,3681.,3796.,3910.,4022. &
434	& ,4134.,4351.,4564.,4771.,4974.,5171.,5364.,5551.,5732.,5908. &
435	& ,6079.,6244.,6404.,6559.,6709.,6854.,6994.,7131.,7264.,7393. &
436	& ,7520.,7821.,8105.,8373.,8627.,8867.,9093.,9308.,9511.,9703. &
437	& ,9885.,10060.,10225.,10535.,10819.,11079.,11318.,11537. &
438	& ,11740.,12097.,12407.,12676.,12915.,13126.,13564.,13910. &
439	& ,14191.,14423.,14617.,14786.,10568.,15299.,15491.,15654. &
440	& ,15811./
441	! H2SO4 weight fraction (percent)
442	DATA XC/ &
443	& 100.0,99.982,99.963,99.945,99.927,99.908,99.890,99.872 &
444	& ,99.853,99.835,99.817,99.725,99.634,99.452,99.270 &
445	& ,99.090,98.196,97.319,96.457,95.610,94.777,93.959,93.156 &
446	& ,92.365,91.588,90.824,90.073,89.334,88.607,87.892,87.188 &
447	& ,86.495,85.814,85.143,84.482,83.832,83.191,82.560,81.939 &
448	& ,81.327,80.724,80.130,79.545,78.968,78.399,77.839,77.286 &
449	& ,76.741,76.204,75.675,75.152,74.637,74.129,73.628,73.133 &
450	& ,72.164,71.220,70.300,69.404,68.530,67.678,66.847,66.037 &
451	& ,65.245,64.472,63.718,62.981,62.261,61.557,60.868,60.195 &
452	& ,59.537,58.893,58.263,57.646,56.159,54.747,53.405,52.126 &
453	& ,50.908,49.745,48.634,47.572,46.555,45.580,44.646,43.749 &
454	& ,42.059,40.495,39.043,37.691,36.430,35.251,33.107,31.209 &
455	& ,29.517,27.999,26.629,23.728,21.397,19.482,17.882,16.525 &
456	& ,15.360,13.461,11.980,10.792,9.819,8.932/
457
458	DO I=1,klon
459	DO J=1,klev
460	! HERE LINEAR INTERPOLATIONS
461	XT=R2SO4(I,J)
462	CALL POSACT(XT,XC,NN,JX)
463	JX1=JX+1
464	IF(JX.EQ.0) THEN
465	ACTSO4(I,J)=0.0
466	ELSE IF(JX.GE.NN) THEN
467	ACTSO4(I,J)=15811.0
468	ELSE
469	TC=XT -XC(JX)
470	TB=X(JX1) -X(JX)
471	TA=XC(JX1) -XC(JX)
472	TA=TB/TA
473	ACTSO4(I,J)=X(JX) + TA*TC
474	ENDIF
475	ENDDO
476	ENDDO
477
478	END SUBROUTINE
479
480	!****************************************************************
481	SUBROUTINE DENH2SA(t_seri)
482
483	! AERSOL DENSITY AS A FUNCTION OF H2SO4 WEIGHT PERCENT AND T
484	! ---------------------------------------------
485	! VERY ROUGH APPROXIMATION (SEE FOR WATER IN HANDBOOK
486	! LINEAR 2% FOR 30 DEGREES with RESPECT TO WATER)
487	!
488	! INPUT:
489	! R2SO4: aerosol H2SO4 weight fraction (percent)
490	! t_seri: temperature (K)
491	! klon: number of latitude bands in the model domain
492	! klev: number of altitude bands in the model domain
493	! for IFS: perhaps add another dimension for longitude
494	!
495	! OUTPUT:
496	! DENSO4: aerosol mass density (gr/cm3 = aerosol mass/aerosol volume)
497	!
498	USE dimphy, ONLY : klon,klev
499	USE phys_local_var_mod, ONLY: R2SO4, DENSO4
500
501	IMPLICIT NONE
502
503	REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature
504
505	INTEGER I,J
506
507	! Loop on model domain (2 dimension for UPMC model; 3 for IFS)
508	DO I=1,klon
509	DO J=1,klev
510	! RO AT 20C
511	DENSO4(I,J)=0.78681252E-5R2SO4(I,J)R2SO4(I,J)+ 0.82185978E-2*R2SO4(I,J)+0.97968381
512	DENSO4(I,J)=DENSO4(I,J)* ( 1.0 - (t_seri(I,J)-293.0)*0.02/30.0 )
513	ENDDO
514	ENDDO
515
516	END SUBROUTINE
517
518	!***********************************************************
519	SUBROUTINE FIND(X,Y,XC,YC,F,VAL,N,M)
520	!
521	! BI-LINEAR INTERPOLATION
522
523	! INPUT:
524	! X: Partial pressure of H2O (mb)
525	! Y: temperature (K)
526	! XC: Table partial pressure of H2O (mb)
527	! YC: Table temperature (K)
528	! F: Table aerosol H2SO4 weight fraction=f(XC,YC) (percent)
529	!
530	! OUTPUT:
531	! VAL: aerosol H2SO4 weight fraction (percent)
532
533	IMPLICIT NONE
534
535	INTEGER N,M
536	REAL X,Y,XC(N),YC(M),F(N,M),VAL
537	!
538	! working variables
539	INTEGER IERX,IERY,JX,JY,JXP1,JYP1
540	REAL SXY,SX1Y,SX1Y1,SXY1,TA,TB,T,UA,UB,U
541
542	IERX=0
543	IERY=0
544	CALL POSITION(XC,X,N,JX,IERX)
545	CALL POSITION(YC,Y,M,JY,IERY)
546
547	IF(JX.EQ.0.OR.IERY.EQ.1) THEN
548	VAL=99.99
549	RETURN
550	ENDIF
551
552	IF(JY.EQ.0.OR.IERX.EQ.1) THEN
553	VAL=9.0
554	RETURN
555	ENDIF
556
557	JXP1=JX+1
558	JYP1=JY+1
559	SXY=F(JX, JY )
560	SX1Y=F(JXP1,JY )
561	SX1Y1=F(JXP1,JYP1)
562	SXY1=F(JX, JYP1)
563
564	! x-slope.
565	TA=X -XC(JX)
566	TB=XC(JXP1)-XC(JX)
567	T=TA/TB
568
569	! y-slope.
570	UA=Y -YC(JY)
571	UB=YC(JYP1)-YC(JY)
572	U=UA/UB
573
574	! Use bilinear interpolation to determine function at point X,Y.
575	VAL=(1.-T)(1.-U)SXY + T(1.0-U)SX1Y + TUSX1Y1 + (1.0-T)USXY1
576
577	IF(VAL.LT.9.0) VAL=9.0
578	IF(VAL.GT.99.99) VAL=99.99
579
580	RETURN
581	END SUBROUTINE
582	!****************************************************************
583	SUBROUTINE POSITION(XC,X,N,JX,IER)
584
585	IMPLICIT NONE
586
587	INTEGER N,JX,IER,I
588	REAL X,XC(N)
589
590	IER=0
591	IF(X.LT.XC(1)) THEN
592	JX=0
593	ELSE
594	DO 10 I=1,N
595	IF (X.LT.XC(I)) GO TO 20
596	10 CONTINUE
597	IER=1
598	20 JX=I-1
599	ENDIF
600
601	RETURN
602	END SUBROUTINE
603	!********************************************************************
604	SUBROUTINE POSACT(XT,X,N,JX)
605
606	! POSITION OF XT IN THE ARRAY X
607	! -----------------------------------------------
608
609	IMPLICIT NONE
610
611	INTEGER N
612	REAL XT,X(N)
613	! Working variables
614	INTEGER JX,I
615
616	IF(XT.GT.X(1)) THEN
617	JX=0
618	ELSE
619	DO 10 I=1,N
620	IF (XT.GT.X(I)) GO TO 20
621	10 CONTINUE
622	20 JX=I
623	ENDIF
624
625	RETURN
626	END SUBROUTINE
627
628	END MODULE sulfate_aer_mod

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