1 |
module cv30_undilute2_m |
2 |
|
3 |
implicit none |
4 |
|
5 |
contains |
6 |
|
7 |
SUBROUTINE cv30_undilute2(nloc, ncum, nd, icb, icbs, nk, tnk, qnk, gznk, t, & |
8 |
qs, gz, p, h, tv, lv, pbase, buoybase, plcl, inb, tp, tvp, clw, hp, & |
9 |
ep, sigp, buoy) |
10 |
|
11 |
! Purpose: find the rest of the lifted parcel temperatures; |
12 |
! compute the precipitation efficiencies and the fraction of |
13 |
! precipitation falling outside of cloud; find the level of |
14 |
! neutral buoyancy. |
15 |
|
16 |
! Vertical profile of buoyancy computed here (use of buoybase). |
17 |
|
18 |
use conema3_m, only: epmax |
19 |
use cv30_param_m, only: dtovsh, minorig, nl, pbcrit, ptcrit, spfac |
20 |
use cvthermo, only: cl, clmcpv, cpd, cpv, eps, lv0, rrv |
21 |
|
22 |
! inputs: |
23 |
integer, intent(in):: nloc, ncum, nd |
24 |
integer icb(nloc), icbs(nloc), nk(nloc) |
25 |
! icbs (input) is the first level above LCL (may differ from icb) |
26 |
real tnk(nloc), qnk(nloc), gznk(nloc) |
27 |
real t(nloc, nd), qs(nloc, nd), gz(nloc, nd) |
28 |
real p(nloc, nd), h(nloc, nd) |
29 |
real tv(nloc, nd), lv(nloc, nd) |
30 |
real pbase(nloc), buoybase(nloc), plcl(nloc) |
31 |
|
32 |
! outputs: |
33 |
integer inb(nloc) |
34 |
real tp(nloc, nd), tvp(nloc, nd), clw(nloc, nd) |
35 |
! condensed water not removed from tvp |
36 |
real hp(nloc, nd), ep(nloc, nd), sigp(nloc, nd) |
37 |
real buoy(nloc, nd) |
38 |
|
39 |
! Local: |
40 |
integer i, k |
41 |
real tg, qg, ahg, alv, s, tc, es, denom |
42 |
real pden |
43 |
real ah0(nloc) |
44 |
|
45 |
!--------------------------------------------------------------------- |
46 |
|
47 |
! SOME INITIALIZATIONS |
48 |
|
49 |
do k = 1, nl |
50 |
do i = 1, ncum |
51 |
ep(i, k) = 0.0 |
52 |
sigp(i, k) = spfac |
53 |
end do |
54 |
end do |
55 |
|
56 |
! FIND THE REST OF THE LIFTED PARCEL TEMPERATURES |
57 |
|
58 |
! The procedure is to solve the equation. |
59 |
! cp * tp + L * qp + phi = cp * tnk + L * qnk + gznk. |
60 |
|
61 |
! Calculate certain parcel quantities, including static energy |
62 |
|
63 |
do i = 1, ncum |
64 |
ah0(i) = (cpd * (1. - qnk(i)) + cl * qnk(i)) * tnk(i) & |
65 |
+ qnk(i) * (lv0 - clmcpv * (tnk(i) - 273.15)) + gznk(i) |
66 |
end do |
67 |
|
68 |
! Find lifted parcel quantities above cloud base |
69 |
|
70 |
do k = minorig + 1, nl |
71 |
do i = 1, ncum |
72 |
if (k >= (icbs(i) + 1)) then |
73 |
tg = t(i, k) |
74 |
qg = qs(i, k) |
75 |
alv = lv0 - clmcpv * (t(i, k) - 273.15) |
76 |
|
77 |
! First iteration. |
78 |
|
79 |
s = cpd * (1. - qnk(i)) + cl * qnk(i) & |
80 |
+ alv * alv * qg / (rrv * t(i, k) * t(i, k)) |
81 |
s = 1. / s |
82 |
|
83 |
ahg = cpd * tg + (cl - cpd) * qnk(i) * tg + alv * qg + gz(i, k) |
84 |
tg = tg + s * (ah0(i) - ahg) |
85 |
|
86 |
tc = tg - 273.15 |
87 |
denom = 243.5 + tc |
88 |
denom = MAX(denom, 1.0) |
89 |
|
90 |
es = 6.112 * exp(17.67 * tc / denom) |
91 |
|
92 |
qg = eps * es / (p(i, k) - es * (1. - eps)) |
93 |
|
94 |
! Second iteration. |
95 |
|
96 |
ahg = cpd * tg + (cl - cpd) * qnk(i) * tg + alv * qg + gz(i, k) |
97 |
tg = tg + s * (ah0(i) - ahg) |
98 |
|
99 |
tc = tg - 273.15 |
100 |
denom = 243.5 + tc |
101 |
denom = MAX(denom, 1.0) |
102 |
|
103 |
es = 6.112 * exp(17.67 * tc / denom) |
104 |
|
105 |
qg = eps * es / (p(i, k) - es * (1. - eps)) |
106 |
|
107 |
alv = lv0 - clmcpv * (t(i, k) - 273.15) |
108 |
|
109 |
! no approximation: |
110 |
tp(i, k) = (ah0(i) - gz(i, k) - alv * qg) & |
111 |
/ (cpd + (cl - cpd) * qnk(i)) |
112 |
|
113 |
clw(i, k) = qnk(i) - qg |
114 |
clw(i, k) = max(0.0, clw(i, k)) |
115 |
! qg utilise au lieu du vrai mixing ratio rg: |
116 |
tvp(i, k) = tp(i, k) * (1. + qg / eps - qnk(i)) ! whole thing |
117 |
endif |
118 |
end do |
119 |
end do |
120 |
|
121 |
! SET THE PRECIPITATION EFFICIENCIES AND THE FRACTION OF |
122 |
! PRECIPITATION FALLING OUTSIDE OF CLOUD |
123 |
! THESE MAY BE FUNCTIONS OF TP(I), P(I) AND CLW(I) |
124 |
do k = 1, nl |
125 |
do i = 1, ncum |
126 |
pden = ptcrit - pbcrit |
127 |
ep(i, k) = (plcl(i) - p(i, k) - pbcrit) / pden * epmax |
128 |
ep(i, k) = amax1(ep(i, k), 0.0) |
129 |
ep(i, k) = amin1(ep(i, k), epmax) |
130 |
sigp(i, k) = spfac |
131 |
end do |
132 |
end do |
133 |
|
134 |
! CALCULATE VIRTUAL TEMPERATURE AND LIFTED PARCEL |
135 |
! VIRTUAL TEMPERATURE |
136 |
|
137 |
! tvp est calcule en une seule fois, et sans retirer |
138 |
! l'eau condensee (~> reversible CAPE) |
139 |
do i = 1, ncum |
140 |
tp(i, nl + 1) = tp(i, nl) |
141 |
end do |
142 |
|
143 |
! EFFECTIVE VERTICAL PROFILE OF BUOYANCY: |
144 |
|
145 |
! first estimate of buoyancy: |
146 |
do i = 1, ncum |
147 |
do k = 1, nl |
148 |
buoy(i, k) = tvp(i, k) - tv(i, k) |
149 |
end do |
150 |
end do |
151 |
|
152 |
! set buoyancy = buoybase for all levels below base |
153 |
! for safety, set buoy(icb) = buoybase |
154 |
do i = 1, ncum |
155 |
do k = 1, nl |
156 |
if ((k >= icb(i)) .and. (k <= nl) .and. (p(i, k) >= pbase(i))) then |
157 |
buoy(i, k) = buoybase(i) |
158 |
endif |
159 |
end do |
160 |
buoy(icb(i), k) = buoybase(i) |
161 |
end do |
162 |
|
163 |
! FIND THE FIRST MODEL LEVEL (INB) ABOVE THE PARCEL'S |
164 |
! LEVEL OF NEUTRAL BUOYANCY |
165 |
|
166 |
do i = 1, ncum |
167 |
inb(i) = nl - 1 |
168 |
end do |
169 |
|
170 |
do i = 1, ncum |
171 |
do k = 1, nl - 1 |
172 |
if ((k >= icb(i)) .and. (buoy(i, k) < dtovsh)) then |
173 |
inb(i) = MIN(inb(i), k) |
174 |
endif |
175 |
end do |
176 |
end do |
177 |
|
178 |
! CALCULATE LIQUID WATER STATIC ENERGY OF LIFTED PARCEL |
179 |
|
180 |
do k = 1, nl + 1 |
181 |
do i = 1, ncum |
182 |
hp(i, k) = h(i, k) |
183 |
enddo |
184 |
enddo |
185 |
|
186 |
do k = minorig + 1, nl |
187 |
do i = 1, ncum |
188 |
if (k >= icb(i) .and. k <= inb(i)) hp(i, k) = h(i, nk(i)) & |
189 |
+ (lv(i, k) + (cpd - cpv) * t(i, k)) * ep(i, k) * clw(i, k) |
190 |
end do |
191 |
end do |
192 |
|
193 |
end SUBROUTINE cv30_undilute2 |
194 |
|
195 |
end module cv30_undilute2_m |