Newer
Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
!MNH_LIC Copyright 1994-2014 CNRS, Meteo-France and Universite Paul Sabatier
!MNH_LIC This is part of the Meso-NH software governed by the CeCILL-C licence
!MNH_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt
!MNH_LIC for details. version 1.
MODULE MODI_ICE4_COMPUTE_PDF
INTERFACE
SUBROUTINE ICE4_COMPUTE_PDF(KSIZE, HSUBG_AUCV, HSUBG_PR_PDF, &
PRHODREF, PRCT, PCF, PSIGMA_RC,&
PHLC_HCF, PHLC_LCF, PHLC_HRC, PHLC_LRC, PRF)
IMPLICIT NONE
INTEGER, INTENT(IN) :: KSIZE
CHARACTER(LEN=4), INTENT(IN) :: HSUBG_AUCV ! Kind of Subgrid autoconversion method
CHARACTER*80, INTENT(IN) :: HSUBG_PR_PDF ! pdf for subgrid precipitation
REAL, DIMENSION(KSIZE), INTENT(IN) :: PRHODREF ! Reference density
REAL, DIMENSION(KSIZE), INTENT(IN) :: PRCT ! Cloud water m.r. at t
REAL, DIMENSION(KSIZE), INTENT(IN) :: PCF ! Cloud fraction
REAL, DIMENSION(KSIZE), INTENT(IN) :: PSIGMA_RC ! Standard deviation of rc at time t
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PHLC_HCF ! HLCLOUDS : fraction of High Cloud Fraction in grid
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PHLC_LCF ! HLCLOUDS : fraction of Low Cloud Fraction in grid
! note that PCF = PHLC_HCF + PHLC_LCF
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PHLC_HRC ! HLCLOUDS : LWC that is High LWC in grid
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PHLC_LRC ! HLCLOUDS : LWC that is Low LWC in grid
! note that PRC = PHLC_HRC + PHLC_LRC
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PRF ! Rain fraction
END SUBROUTINE ICE4_COMPUTE_PDF
END INTERFACE
END MODULE MODI_ICE4_COMPUTE_PDF
SUBROUTINE ICE4_COMPUTE_PDF(KSIZE, HSUBG_AUCV, HSUBG_PR_PDF, &
PRHODREF, PRCT, PCF, PSIGMA_RC,&
PHLC_HCF, PHLC_LCF, PHLC_HRC, PHLC_LRC, PRF)
!!
!!** PURPOSE
!! -------
!! Computes the pdf used to split cloud into high and low content parts
!!
!! AUTHOR
!! ------
!! S. Riette from the plitting of rain_ice source code (nov. 2014)
!!
!! MODIFICATIONS
!! -------------
!!
!
!
!* 0. DECLARATIONS
! ------------
!
!
USE MODD_RAIN_ICE_DESCR
USE MODD_RAIN_ICE_PARAM
USE MODD_LUNIT_n, ONLY : TLUOUT
USE MODE_MSG
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
INTEGER, INTENT(IN) :: KSIZE
CHARACTER(LEN=4), INTENT(IN) :: HSUBG_AUCV ! Kind of Subgrid autoconversion method
CHARACTER*80, INTENT(IN) :: HSUBG_PR_PDF ! pdf for subgrid precipitation
REAL, DIMENSION(KSIZE), INTENT(IN) :: PRHODREF ! Reference density
REAL, DIMENSION(KSIZE), INTENT(IN) :: PRCT ! Cloud water m.r. at t
REAL, DIMENSION(KSIZE), INTENT(IN) :: PCF ! Cloud fraction
REAL, DIMENSION(KSIZE), INTENT(IN) :: PSIGMA_RC ! Standard deviation of rc at time t
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PHLC_HCF ! HLCLOUDS : fraction of High Cloud Fraction in grid
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PHLC_LCF ! HLCLOUDS : fraction of Low Cloud Fraction in grid
! note that PCF = PHLC_HCF + PHLC_LCF
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PHLC_HRC ! HLCLOUDS : LWC that is High LWC in grid
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PHLC_LRC ! HLCLOUDS : LWC that is Low LWC in grid
! note that PRC = PHLC_HRC + PHLC_LRC
REAL, DIMENSION(KSIZE), INTENT(OUT) :: PRF ! Rain fraction
!
!* 0.2 declaration of local variables
!
REAL, DIMENSION(SIZE(PRHODREF)) :: ZRCRAUTC, & !RC value to begin rain formation =XCRIAUTC/RHODREF
ZHLC_RCMAX, & !HLCLOUDS : maximum value for RC in distribution
ZHLC_LRCLOCAL, & !HLCLOUDS : LWC that is Low LWC local in LCF
ZHLC_HRCLOCAL !HLCLOUDS : LWC that is High LWC local in HCF
! note that ZRC/CF = ZHLC_HRCLOCAL+ ZHLC_LRCLOCAL
! = PHLC_HRC/HCF+ PHLC_LRC/LCF
REAL :: ZCOEFFRCM
INTEGER :: ILUOUT ! logical unit
!-------------------------------------------------------------------------------
!
ILUOUT = TLUOUT%NLU
!Cloud water split between high and low content part is done according to autoconversion option
ZRCRAUTC(:)=XCRIAUTC/PRHODREF(:) ! Autoconversion rc threshold
IF(HSUBG_AUCV=='NONE') THEN
!Cloud water is entirely in low or high part
WHERE(PRCT(:)>ZRCRAUTC(:))
PHLC_HCF(:)=1.
PHLC_LCF(:)=0.
PHLC_HRC(:)=PRCT(:)
PHLC_LRC(:)=0.
PRF(:) =1.
ELSEWHERE(PRCT(:)>XRTMIN(2))
PHLC_HCF(:)=0.
PHLC_LCF(:)=1.
PHLC_HRC(:)=0.
PHLC_LRC(:)=PRCT(:)
PRF(:) =0.
ELSEWHERE
PHLC_HCF(:)=0.
PHLC_LCF(:)=0.
PHLC_HRC(:)=0.
PHLC_LRC(:)=0.
PRF(:) =0.
END WHERE
ELSEIF(HSUBG_AUCV=='CLFR') THEN
!Cloud water is only in the cloudy part and entirely in low or high part
WHERE(PCF(:) > 0. .AND. PRCT(:)>ZRCRAUTC(:)*PCF(:))
PHLC_HCF(:)=PCF(:)
PHLC_LCF(:)=0.
PHLC_HRC(:)=PRCT(:)
PHLC_LRC(:)=0.
PRF(:) =PCF(:)
ELSEWHERE(PCF(:) > 0. .AND. PRCT(:)>XRTMIN(2))
PHLC_HCF(:)=0.
PHLC_LCF(:)=PCF(:)
PHLC_HRC(:)=0.0
PHLC_LRC(:)=PRCT(:)
PRF(:) =0.
ELSEWHERE (PCF(:) > 0.)
PHLC_HCF(:)=0.
PHLC_LCF(:)=0.
PHLC_HRC(:)=0.
PHLC_LRC(:)=0.
PRF(:) =0.
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
ELSEWHERE
PHLC_HCF(:)=0.
PHLC_LCF(:)=0.
PHLC_HRC(:)=0.
PHLC_LRC(:)=0.
PRF(:) =0.
END WHERE
ELSEIF(HSUBG_AUCV=='PDF ') THEN
!Cloud water is split between high and low part according to a PDF
! 'HLCRECTPDF' : rectangular PDF form
! 'HLCTRIANGPDF' : triangular PDF form
! 'HLCQUADRAPDF' : second order quadratic PDF form
! 'HLCISOTRIPDF' : isocele triangular PDF
! 'SIGM' : Redelsperger and Sommeria (1986)
IF(HSUBG_PR_PDF=='SIGM') THEN
! Redelsperger and Sommeria (1986) but organised according to Turner (2011, 2012)
WHERE (PRCT(:)>ZRCRAUTC(:)+PSIGMA_RC(:))
PHLC_HCF(:)=1.
PHLC_LCF(:)=0.
PHLC_HRC(:)=PRCT(:)
PHLC_LRC(:)=0.
PRF(:) =1.
ELSEWHERE(PRCT(:)> (ZRCRAUTC(:)-PSIGMA_RC(:)) .AND. &
& PRCT(:)<=(ZRCRAUTC(:)+PSIGMA_RC(:)) )
PHLC_HCF(:)=(PRCT(:)+PSIGMA_RC(:)-ZRCRAUTC(:))/ &
&(2.*PSIGMA_RC(:))
PHLC_LCF(:)=MAX(0., PCF(:)-PHLC_HCF(:))
PHLC_HRC(:)=(PRCT(:)+PSIGMA_RC(:)-ZRCRAUTC(:))* &
&(PRCT(:)+PSIGMA_RC(:)+ZRCRAUTC(:))/ &
&(4.*PSIGMA_RC(:))
PHLC_LRC(:)=MAX(0., PRCT(:)-PHLC_HRC(:))
PRF(:) =PHLC_HCF(:)
ELSEWHERE(PRCT(:)>XRTMIN(2) .AND. PCF(:)>0.)
PHLC_HCF(:)=0.
PHLC_LCF(:)=PCF(:)
PHLC_HRC(:)=0.
PHLC_LRC(:)=PRCT(:)
PRF(:) =0.
ELSEWHERE
PHLC_HCF(:)=0.
PHLC_LCF(:)=0.
PHLC_HRC(:)=0.
PHLC_LRC(:)=0.
PRF(:) =0.
END WHERE
! Turner (2011, 2012)
ELSEIF(HSUBG_PR_PDF=='HLCRECTPDF' .OR. HSUBG_PR_PDF=='HLCISOTRIPDF' .OR. &
&HSUBG_PR_PDF=='HLCTRIANGPDF' .OR. HSUBG_PR_PDF=='HLCQUADRAPDF') THEN
! Calculate maximum value r_cM from PDF forms
IF(HSUBG_PR_PDF=='HLCRECTPDF' .OR. HSUBG_PR_PDF=='HLCISOTRIPDF') THEN
ZCOEFFRCM=2.
ELSE IF(HSUBG_PR_PDF=='HLCTRIANGPDF') THEN
ZCOEFFRCM=3.
ELSE IF(HSUBG_PR_PDF=='HLCQUADRAPDF') THEN
ZCOEFFRCM=4.
END IF
WHERE(PRCT(:).GT.0. .AND. PCF(:).GT.0.)
ZHLC_RCMAX(:)=ZCOEFFRCM*PRCT(:)/PCF(:)
END WHERE
! Split available water and cloud fraction in two parts
! Calculate local mean values int he low and high parts for the 3 PDF forms:
IF(HSUBG_PR_PDF=='HLCRECTPDF') THEN
WHERE(PRCT(:).GT.0. .AND. PCF(:).GT.0. .AND. ZHLC_RCMAX(:).GT.ZRCRAUTC(:))
ZHLC_LRCLOCAL(:)=0.5*ZRCRAUTC(:)
ZHLC_HRCLOCAL(:)=( ZHLC_RCMAX(:) + ZRCRAUTC(:))/2.0
END WHERE
ELSE IF(HSUBG_PR_PDF=='HLCTRIANGPDF') THEN
WHERE(PRCT(:).GT.0. .AND. PCF(:).GT.0. .AND. ZHLC_RCMAX(:).GT.ZRCRAUTC(:))
ZHLC_LRCLOCAL(:)=( ZRCRAUTC(:) *(3.0 * ZHLC_RCMAX(:) - 2.0 * ZRCRAUTC(:) ) ) &
/ (3.0 * (2.0 * ZHLC_RCMAX(:) - ZRCRAUTC(:) ) )
ZHLC_HRCLOCAL(:)=(ZHLC_RCMAX(:) + 2.0*ZRCRAUTC(:)) / 3.0
END WHERE
ELSE IF(HSUBG_PR_PDF=='HLCQUADRAPDF') THEN
WHERE(PRCT(:).GT.0. .AND. PCF(:).GT.0. .AND. ZHLC_RCMAX(:).GT.ZRCRAUTC(:))
ZHLC_LRCLOCAL(:)=(3.0 *ZRCRAUTC(:)**3 - 8.0 *ZRCRAUTC(:)**2 * ZHLC_RCMAX(:) &
+ 6.0*ZRCRAUTC(:) *ZHLC_RCMAX(:)**2 ) &
/ &
(4.0* ZRCRAUTC(:)**2 -12.0*ZRCRAUTC(:) *ZHLC_RCMAX(:) &
+ 12.0 * ZHLC_RCMAX(:)**2 )
ZHLC_HRCLOCAL(:)=(ZHLC_RCMAX(:) + 3.0*ZRCRAUTC(:))/4.0
END WHERE
ELSE IF(HSUBG_PR_PDF=='HLCISOTRIPDF') THEN
WHERE(PRCT(:).GT.0. .AND. PCF(:).GT.0. .AND. ZHLC_RCMAX(:).GT.ZRCRAUTC(:))
WHERE((PRCT(:) / PCF(:)).LE.ZRCRAUTC(:))
ZHLC_LRCLOCAL(:)=( (ZHLC_RCMAX(:))**3 &
-(12.0 * (ZHLC_RCMAX(:))*(ZRCRAUTC(:))**2) &
+(8.0 * ZRCRAUTC(:)**3) ) &
/( (6.0 * (ZHLC_RCMAX(:))**2) &
-(24.0 * (ZHLC_RCMAX(:)) * ZRCRAUTC(:)) &
+(12.0 * ZRCRAUTC(:)**2) )
ZHLC_HRCLOCAL(:)=( ZHLC_RCMAX(:) + 2.0 * ZRCRAUTC(:) )/3.0
ELSEWHERE
ZHLC_LRCLOCAL(:)=(2.0/3.0) * ZRCRAUTC(:)
ZHLC_HRCLOCAL(:)=(3.0*ZHLC_RCMAX(:)**3 - 8.0*ZRCRAUTC(:)**3) &
/ (6.0 * ZHLC_RCMAX(:)**2 - 12.0*ZRCRAUTC(:)**2)
END WHERE
END WHERE
END IF
! Compare r_cM to r_cR to know if cloud water content is high enough to split in two parts or not
WHERE (PRCT(:).GT.0. .AND. PCF(:).GT.0. .AND. ZHLC_RCMAX(:).GT.ZRCRAUTC(:))
! Calculate final values for LCF and HCF:
PHLC_LCF(:)=PCF(:) &
*(ZHLC_HRCLOCAL- &
(PRCT(:) / PCF(:))) &
/ (ZHLC_HRCLOCAL-ZHLC_LRCLOCAL)
PHLC_HCF(:)=MAX(0., PCF(:)-PHLC_LCF(:))
!
! Calculate final values for LRC and HRC:
PHLC_LRC(:)=ZHLC_LRCLOCAL*PHLC_LCF(:)
PHLC_HRC(:)=MAX(0., PRCT(:)-PHLC_LRC(:))
ELSEWHERE (PRCT(:).GT.0. .AND. PCF(:).GT.0. .AND. ZHLC_RCMAX(:).LE.ZRCRAUTC(:))
! Put all available cloud water and his fraction in the low part
PHLC_LCF(:)=PCF(:)
PHLC_HCF(:)=0.
PHLC_LRC(:)=PRCT(:)
PHLC_HRC(:)=0.
ELSEWHERE
PHLC_LCF(:)=0.
PHLC_HCF(:)=0.
PHLC_LRC(:)=0.
PHLC_HRC(:)=0.
END WHERE
PRF(:)=PHLC_HCF(:) !Precipitation fraction
ELSE
!wrong HSUBG_PR_PDF case
WRITE(ILUOUT,*) 'STOP : wrong HSUBG_PR_PDF case'
CALL PRINT_MSG(NVERB_FATAL,'GEN','ICE4_COMPUTE_PDF','')
ENDIF
ELSE
!wrong HSUBG_AUCV case
WRITE(ILUOUT,*) 'STOP : wrong HSUBG_AUCV case'
CALL PRINT_MSG(NVERB_FATAL,'GEN','ICE4_COMPUTE_PDF','')
ENDIF
!
END SUBROUTINE ICE4_COMPUTE_PDF