4 |
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5 |
contains |
contains |
6 |
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7 |
SUBROUTINE cv30_unsat(icb, inb, t, rr, rs, gz, u, v, p, ph, th, tv, lv, & |
SUBROUTINE cv30_unsat(icb, inb, t, q, qs, gz, u, v, p, ph, th, tv, lv, cpn, & |
8 |
cpn, ep, sigp, clw, m, ment, elij, delt, plcl, mp, rp, up, vp, wt, & |
ep, clw, m, ment, elij, delt, plcl, mp, qp, up, vp, wt, water, evap, b) |
9 |
water, evap, b) |
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10 |
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! Unsaturated (precipitating) downdrafts |
11 |
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12 |
use cv30_param_m, only: nl, sigd |
use cv30_param_m, only: nl, sigd |
13 |
use cvthermo, only: cpd, ginv, grav |
use cv_thermo_m, only: ginv |
14 |
USE dimphy, ONLY: klon, klev |
use SUPHEC_M, only: rg, rcpd |
15 |
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16 |
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integer, intent(in):: icb(:) ! (ncum) |
17 |
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! {2 <= icb <= nl - 3} |
18 |
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19 |
! inputs: |
integer, intent(in):: inb(:) ! (ncum) |
20 |
integer, intent(in):: icb(:), inb(:) ! (ncum) |
! first model level above the level of neutral buoyancy of the |
21 |
real t(klon, klev), rr(klon, klev), rs(klon, klev) |
! parcel (1 <= inb <= nl - 1) |
22 |
real gz(klon, klev) |
|
23 |
real u(klon, klev), v(klon, klev) |
real, intent(in):: t(:, :) ! (ncum, nl) temperature (K) |
24 |
real p(klon, klev), ph(klon, klev + 1) |
real, intent(in):: q(:, :), qs(:, :) ! (ncum, nl) |
25 |
real th(klon, klev) |
real, intent(in):: gz(:, :) ! (klon, klev) |
26 |
real tv(klon, klev) |
real, intent(in):: u(:, :), v(:, :) ! (ncum, nl) |
27 |
real lv(klon, klev) |
real, intent(in):: p(:, :) ! (klon, klev) pressure at full level, in hPa |
28 |
real cpn(klon, klev) |
real, intent(in):: ph(:, :) ! (ncum, klev + 1) |
29 |
real, intent(in):: ep(klon, klev), sigp(klon, klev), clw(klon, klev) |
real, intent(in):: th(:, :) ! (ncum, nl - 1) potential temperature, in K |
30 |
real m(klon, klev), ment(klon, klev, klev), elij(klon, klev, klev) |
real, intent(in):: tv(:, :) ! (klon, klev) |
31 |
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32 |
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real, intent(in):: lv(:, :) ! (ncum, nl) |
33 |
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! specific latent heat of vaporization of water, in J kg-1 |
34 |
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35 |
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real, intent(in):: cpn(:, :) ! (ncum, nl) |
36 |
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! specific heat capacity at constant pressure of humid air, in J K-1 kg-1 |
37 |
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38 |
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real, intent(in):: ep(:, :) ! (ncum, klev) |
39 |
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real, intent(in):: clw(:, :) ! (ncum, klev) |
40 |
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real, intent(in):: m(:, :) ! (ncum, klev) |
41 |
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real, intent(in):: ment(:, :, :) ! (ncum, klev, klev) |
42 |
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real, intent(in):: elij(:, :, :) ! (ncum, klev, klev) |
43 |
real, intent(in):: delt |
real, intent(in):: delt |
44 |
real plcl(klon) |
real, intent(in):: plcl(:) ! (ncum) |
45 |
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46 |
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real, intent(out):: mp(:, :) |
47 |
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! (ncum, nl) Mass flux of the unsaturated downdraft, defined |
48 |
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! positive downward, in kg m-2 s-1. M_p in Emanuel (1991 928). |
49 |
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50 |
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real, intent(out):: qp(:, :), up(:, :), vp(:, :) ! (ncum, nl) |
51 |
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real, intent(out):: wt(:, :) ! (ncum, nl) |
52 |
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53 |
! outputs: |
real, intent(out):: water(:, :) ! (ncum, nl) |
54 |
real mp(klon, klev), rp(klon, klev), up(klon, klev), vp(klon, klev) |
! precipitation mixing ratio, l_p in Emanuel (1991 928) |
55 |
real wt(klon, klev), water(klon, klev), evap(klon, klev) |
|
56 |
real, intent(out):: b(:, :) ! (ncum, nl) |
real, intent(out):: evap(:, :) ! (ncum, nl) |
57 |
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! sigt * rate of evaporation of precipitation, in s-1 |
58 |
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! \sigma_s E in Emanuel (1991 928) |
59 |
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60 |
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real, intent(out):: b(:, :) ! (ncum, nl - 1) |
61 |
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62 |
! Local: |
! Local: |
63 |
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64 |
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real, parameter:: sigp = 0.15 |
65 |
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! fraction of precipitation falling outside of cloud, \sig_s in |
66 |
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! Emanuel (1991 928) |
67 |
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68 |
integer ncum |
integer ncum |
69 |
integer i, j, il, num1 |
integer i, il, imax |
70 |
real tinv, delti |
real, parameter:: tinv = 1. / 3. |
71 |
real awat, afac, afac1, afac2, bfac |
real delti |
72 |
real pr1, pr2, sigt, b6, c6, revap, tevap, delth |
real afac, afac1, afac2, bfac |
73 |
real amfac, amp2, xf, tf, fac2, ur, sru, fac, d, af, bf |
real pr1, sigt, b6, c6, revap, tevap |
74 |
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real xf, tf, fac2, ur, sru, fac, d, af, bf |
75 |
real ampmax |
real ampmax |
76 |
real lvcp(klon, klev) |
real lvcp(size(icb), nl) ! (ncum, nl) L_v / C_p, in K |
77 |
real wdtrain(size(icb)) |
real wdtrain(size(icb)) ! (ncum) |
78 |
logical lwork(size(icb)) |
logical lwork(size(icb)) ! (ncum) |
79 |
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80 |
!------------------------------------------------------ |
!------------------------------------------------------ |
81 |
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82 |
ncum = size(icb) |
ncum = size(icb) |
83 |
delti = 1. / delt |
delti = 1. / delt |
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tinv = 1. / 3. |
|
84 |
mp = 0. |
mp = 0. |
85 |
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b = 0. |
86 |
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87 |
do i = 1, nl |
do i = 1, nl |
88 |
do il = 1, ncum |
do il = 1, ncum |
89 |
mp(il, i) = 0. |
qp(il, i) = q(il, i) |
|
rp(il, i) = rr(il, i) |
|
90 |
up(il, i) = u(il, i) |
up(il, i) = u(il, i) |
91 |
vp(il, i) = v(il, i) |
vp(il, i) = v(il, i) |
92 |
wt(il, i) = 0.001 |
wt(il, i) = 0.001 |
93 |
water(il, i) = 0. |
water(il, i) = 0. |
94 |
evap(il, i) = 0. |
evap(il, i) = 0. |
|
b(il, i) = 0. |
|
95 |
lvcp(il, i) = lv(il, i) / cpn(il, i) |
lvcp(il, i) = lv(il, i) / cpn(il, i) |
96 |
enddo |
enddo |
97 |
enddo |
enddo |
98 |
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|
99 |
! check whether ep(inb) = 0, if so, skip precipitating |
! Check whether ep(inb) = 0. If so, skip precipitating downdraft |
100 |
! downdraft calculation |
! calculation. |
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forall (il = 1:ncum) lwork(il) = ep(il, inb(il)) >= 1e-4 |
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wdtrain = 0. |
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101 |
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102 |
downdraft_loop: DO i = nl - 1, 1, - 1 |
forall (il = 1:ncum) lwork(il) = ep(il, inb(il)) >= 1e-4 |
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num1 = 0 |
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103 |
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104 |
do il = 1, ncum |
imax = nl - 1 |
105 |
if (i <= inb(il) .and. lwork(il)) num1 = num1 + 1 |
do while (.not. any(inb >= imax .and. lwork) .and. imax >= 1) |
106 |
enddo |
imax = imax - 1 |
107 |
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end do |
108 |
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109 |
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downdraft_loop: DO i = imax, 1, - 1 |
110 |
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! Integrate liquid water equation to find condensed water |
111 |
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! and condensed water flux |
112 |
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113 |
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! Calculate detrained precipitation |
114 |
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forall (il = 1:ncum, inb(il) >= i .and. lwork(il)) wdtrain(il) = rg & |
115 |
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* (ep(il, i) * m(il, i) * clw(il, i) & |
116 |
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+ sum(max(elij(il, :i - 1, i) - (1. - ep(il, i)) * clw(il, i), 0.) & |
117 |
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* ment(il, :i - 1, i))) |
118 |
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119 |
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! Find rain water and evaporation using provisional |
120 |
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! estimates of qp(i) and qp(i - 1) |
121 |
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122 |
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loop_horizontal: do il = 1, ncum |
123 |
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if (i <= inb(il) .and. lwork(il)) then |
124 |
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wt(il, i) = 45. |
125 |
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126 |
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if (i < inb(il)) then |
127 |
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qp(il, i) = qp(il, i + 1) + (rcpd * (t(il, i + 1) - t(il, i)) & |
128 |
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+ gz(il, i + 1) - gz(il, i)) / lv(il, i) |
129 |
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qp(il, i) = 0.5 * (qp(il, i) + q(il, i)) |
130 |
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endif |
131 |
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132 |
if (num1 > 0) then |
qp(il, i) = max(qp(il, i), 0.) |
133 |
! integrate liquid water equation to find condensed water |
qp(il, i) = min(qp(il, i), qs(il, i)) |
134 |
! and condensed water flux |
qp(il, inb(il)) = q(il, inb(il)) |
135 |
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136 |
! calculate detrained precipitation |
if (i == 1) then |
137 |
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afac = p(il, 1) * (qs(il, 1) - qp(il, 1)) & |
138 |
do il = 1, ncum |
/ (1e4 + 2000. * p(il, 1) * qs(il, 1)) |
139 |
if (i <= inb(il) .and. lwork(il)) then |
else |
140 |
wdtrain(il) = grav * ep(il, i) * m(il, i) * clw(il, i) |
qp(il, i - 1) = qp(il, i) + (rcpd * (t(il, i) - t(il, i - 1)) & |
141 |
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+ gz(il, i) - gz(il, i - 1)) / lv(il, i) |
142 |
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qp(il, i - 1) = 0.5 * (qp(il, i - 1) + q(il, i - 1)) |
143 |
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qp(il, i - 1) = min(qp(il, i - 1), qs(il, i - 1)) |
144 |
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qp(il, i - 1) = max(qp(il, i - 1), 0.) |
145 |
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afac1 = p(il, i) * (qs(il, i) - qp(il, i)) & |
146 |
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/ (1e4 + 2000. * p(il, i) * qs(il, i)) |
147 |
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afac2 = p(il, i - 1) * (qs(il, i - 1) - qp(il, i - 1)) & |
148 |
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/ (1e4 + 2000. * p(il, i - 1) * qs(il, i - 1)) |
149 |
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afac = 0.5 * (afac1 + afac2) |
150 |
endif |
endif |
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enddo |
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151 |
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152 |
if (i > 1) then |
if (i == inb(il)) afac = 0. |
153 |
do j = 1, i - 1 |
afac = max(afac, 0.) |
154 |
do il = 1, ncum |
bfac = 1. / (sigd * wt(il, i)) |
155 |
if (i <= inb(il) .and. lwork(il)) then |
|
156 |
awat = elij(il, j, i) - (1. - ep(il, i)) * clw(il, i) |
if (i <= icb(il)) then |
157 |
awat = max(awat, 0.) |
! Prise en compte de la variation progressive de sigt dans |
158 |
wdtrain(il) = wdtrain(il) + grav * awat * ment(il, j, i) |
! les couches icb et icb - 1 : |
159 |
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! pour plcl <= ph(i + 1), pr1 = 0 |
160 |
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! pour plcl >= ph(i), pr1 = 1 |
161 |
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! pour ph(i + 1) < plcl < ph(i), pr1 est la proportion |
162 |
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! \`a cheval sur le nuage. |
163 |
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pr1 = max(0., min(1., & |
164 |
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(plcl(il) - ph(il, i + 1)) / (ph(il, i) - ph(il, i + 1)))) |
165 |
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sigt = sigp * pr1 + 1. - pr1 |
166 |
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else |
167 |
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! {i >= icb(il) + 1} |
168 |
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sigt = sigp |
169 |
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end if |
170 |
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171 |
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b6 = bfac * 50. * sigd * (ph(il, i) - ph(il, i + 1)) * sigt * afac |
172 |
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c6 = water(il, i + 1) + bfac * wdtrain(il) - 50. * sigd * bfac & |
173 |
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* (ph(il, i) - ph(il, i + 1)) * evap(il, i + 1) |
174 |
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175 |
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if (c6 > 0.) then |
176 |
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revap = 0.5 * (- b6 + sqrt(b6 * b6 + 4. * c6)) |
177 |
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evap(il, i) = sigt * afac * revap |
178 |
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water(il, i) = revap * revap |
179 |
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else |
180 |
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evap(il, i) = - evap(il, i + 1) + 0.02 * (wdtrain(il) + sigd & |
181 |
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* wt(il, i) * water(il, i + 1)) / (sigd * (ph(il, i) & |
182 |
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- ph(il, i + 1))) |
183 |
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end if |
184 |
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185 |
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! Calculate precipitating downdraft mass flux under |
186 |
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! hydrostatic approximation |
187 |
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188 |
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test_above_surface: if (i /= 1) then |
189 |
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tevap = max(0., evap(il, i)) |
190 |
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mp(il, i) = 100. * ginv * lvcp(il, i) * sigd * tevap & |
191 |
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* (p(il, i - 1) - p(il, i)) & |
192 |
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/ max(0.001, th(il, i) - th(il, i - 1)) |
193 |
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194 |
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! If hydrostatic assumption fails, solve cubic |
195 |
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! difference equation for downdraft theta and mass |
196 |
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! flux from two simultaneous differential equations |
197 |
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if (abs(mp(il, i + 1)**2 - mp(il, i)**2) > 0.1 * sigd**2 & |
198 |
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* 70. * ph(il, i) * (p(il, i - 1) - p(il, i)) & |
199 |
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* (th(il, i) - th(il, i - 1)) / (tv(il, i) * th(il, i))) & |
200 |
|
then |
201 |
|
xf = 100. * sigd**3 * (ph(il, i) - ph(il, i + 1)) |
202 |
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tf = b(il, i) - 5. * (th(il, i) - th(il, i - 1)) & |
203 |
|
* t(il, i) / (lvcp(il, i) * sigd * th(il, i)) |
204 |
|
af = xf * tf + mp(il, i + 1)**2 * tinv |
205 |
|
bf = 2. * (tinv * mp(il, i + 1))**3 + tinv & |
206 |
|
* mp(il, i + 1) * xf * tf + 50. * (p(il, i - 1) & |
207 |
|
- p(il, i)) * xf * tevap |
208 |
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fac2 = 1. |
209 |
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if (bf < 0.) fac2 = - 1. |
210 |
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bf = abs(bf) |
211 |
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ur = 0.25 * bf * bf - af * af * af * tinv * tinv * tinv |
212 |
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213 |
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if (ur >= 0.) then |
214 |
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sru = sqrt(ur) |
215 |
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fac = 1. |
216 |
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if ((0.5 * bf - sru) < 0.) fac = - 1. |
217 |
|
mp(il, i) = mp(il, i + 1) * tinv + (0.5 * bf & |
218 |
|
+ sru)**tinv + fac * (abs(0.5 * bf - sru))**tinv |
219 |
|
else |
220 |
|
d = atan(2. * sqrt(- ur) / (bf + 1e-28)) |
221 |
|
if (fac2 < 0.) d = 3.14159 - d |
222 |
|
mp(il, i) = mp(il, i + 1) * tinv + 2. * sqrt(af * tinv) & |
223 |
|
* cos(d * tinv) |
224 |
endif |
endif |
|
enddo |
|
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end do |
|
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endif |
|
225 |
|
|
226 |
! find rain water and evaporation using provisional |
mp(il, i) = max(0., mp(il, i)) |
|
! estimates of rp(i) and rp(i - 1) |
|
227 |
|
|
228 |
do il = 1, ncum |
! Il y a vraisemblablement une erreur dans la ligne |
229 |
if (i <= inb(il) .and. lwork(il)) then |
! suivante : il faut diviser par (mp(il, i) * sigd |
230 |
wt(il, i) = 45. |
! * rg) et non par (mp(il, i) + sigd * 0.1). Et il |
231 |
|
! faut bien revoir les facteurs 100. |
232 |
if (i < inb(il)) then |
b(il, i - 1) = max(b(il, i) + 100. * (p(il, i - 1) & |
233 |
rp(il, i) = rp(il, i + 1) + (cpd * (t(il, i + 1) & |
- p(il, i)) * tevap / (mp(il, i) + sigd * 0.1) - 10. & |
234 |
- t(il, i)) + gz(il, i + 1) - gz(il, i)) / lv(il, i) |
* (th(il, i) - th(il, i - 1)) * t(il, i) & |
235 |
rp(il, i) = 0.5 * (rp(il, i) + rr(il, i)) |
/ (lvcp(il, i) * sigd * th(il, i)), 0.) |
|
endif |
|
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rp(il, i) = max(rp(il, i), 0.) |
|
|
rp(il, i) = min(rp(il, i), rs(il, i)) |
|
|
rp(il, inb(il)) = rr(il, inb(il)) |
|
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|
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if (i == 1) then |
|
|
afac = p(il, 1) * (rs(il, 1) - rp(il, 1)) & |
|
|
/ (1e4 + 2000. * p(il, 1) * rs(il, 1)) |
|
|
else |
|
|
rp(il, i - 1) = rp(il, i) + (cpd * (t(il, i) & |
|
|
- t(il, i - 1)) + gz(il, i) - gz(il, i - 1)) / lv(il, i) |
|
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rp(il, i - 1) = 0.5 * (rp(il, i - 1) + rr(il, i - 1)) |
|
|
rp(il, i - 1) = min(rp(il, i - 1), rs(il, i - 1)) |
|
|
rp(il, i - 1) = max(rp(il, i - 1), 0.) |
|
|
afac1 = p(il, i) * (rs(il, i) - rp(il, i)) & |
|
|
/ (1e4 + 2000. * p(il, i) * rs(il, i)) |
|
|
afac2 = p(il, i - 1) * (rs(il, i - 1) - rp(il, i - 1)) & |
|
|
/ (1e4 + 2000. * p(il, i - 1) * rs(il, i - 1)) |
|
|
afac = 0.5 * (afac1 + afac2) |
|
236 |
endif |
endif |
237 |
|
|
238 |
if (i == inb(il)) afac = 0. |
! Limit magnitude of mp to meet CFL condition: |
239 |
afac = max(afac, 0.) |
ampmax = 2. * (ph(il, i) - ph(il, i + 1)) * delti |
240 |
bfac = 1. / (sigd * wt(il, i)) |
ampmax = min(ampmax, 2. * (ph(il, i - 1) - ph(il, i)) * delti) |
241 |
|
mp(il, i) = min(mp(il, i), ampmax) |
242 |
! prise en compte de la variation progressive de sigt dans |
|
243 |
! les couches icb et icb - 1: |
! Force mp to decrease linearly to zero between cloud |
244 |
! pour plcl < ph(i + 1), pr1 = 0 & pr2 = 1 |
! base and the surface: |
245 |
! pour plcl > ph(i), pr1 = 1 & pr2 = 0 |
if (p(il, i) > p(il, icb(il))) mp(il, i) = mp(il, icb(il)) & |
246 |
! pour ph(i + 1) < plcl < ph(i), pr1 est la proportion a cheval |
* (p(il, 1) - p(il, i)) / (p(il, 1) - p(il, icb(il))) |
247 |
! sur le nuage, et pr2 est la proportion sous la base du |
endif test_above_surface |
248 |
! nuage. |
|
249 |
pr1 = (plcl(il) - ph(il, i + 1)) / (ph(il, i) - ph(il, i + 1)) |
! Find mixing ratio of precipitating downdraft |
250 |
pr1 = max(0., min(1., pr1)) |
|
251 |
pr2 = (ph(il, i) - plcl(il)) / (ph(il, i) - ph(il, i + 1)) |
if (i /= inb(il)) then |
252 |
pr2 = max(0., min(1., pr2)) |
qp(il, i) = q(il, i) |
253 |
sigt = sigp(il, i) * pr1 + pr2 |
|
254 |
|
if (mp(il, i) > mp(il, i + 1)) then |
255 |
b6 = bfac * 50. * sigd * (ph(il, i) - ph(il, i + 1)) * sigt & |
qp(il, i) = qp(il, i + 1) * mp(il, i + 1) + q(il, i) & |
256 |
* afac |
* (mp(il, i) - mp(il, i + 1)) + 100. * ginv * 0.5 & |
257 |
c6 = water(il, i + 1) + bfac * wdtrain(il) - 50. * sigd * bfac & |
* sigd * (ph(il, i) - ph(il, i + 1)) & |
258 |
* (ph(il, i) - ph(il, i + 1)) * evap(il, i + 1) |
* (evap(il, i + 1) + evap(il, i)) |
259 |
if (c6 > 0.) then |
qp(il, i) = qp(il, i) / mp(il, i) |
260 |
revap = 0.5 * (- b6 + sqrt(b6 * b6 + 4. * c6)) |
up(il, i) = up(il, i + 1) * mp(il, i + 1) + u(il, i) & |
261 |
evap(il, i) = sigt * afac * revap |
* (mp(il, i) - mp(il, i + 1)) |
262 |
water(il, i) = revap * revap |
up(il, i) = up(il, i) / mp(il, i) |
263 |
|
vp(il, i) = vp(il, i + 1) * mp(il, i + 1) + v(il, i) & |
264 |
|
* (mp(il, i) - mp(il, i + 1)) |
265 |
|
vp(il, i) = vp(il, i) / mp(il, i) |
266 |
else |
else |
267 |
evap(il, i) = - evap(il, i + 1) + 0.02 * (wdtrain(il) & |
if (mp(il, i + 1) > 1e-16) then |
268 |
+ sigd * wt(il, i) * water(il, i + 1)) & |
qp(il, i) = qp(il, i + 1) + 100. * ginv * 0.5 * sigd & |
269 |
/ (sigd * (ph(il, i) - ph(il, i + 1))) |
* (ph(il, i) - ph(il, i + 1)) * (evap(il, i + 1) & |
270 |
end if |
+ evap(il, i)) / mp(il, i + 1) |
271 |
|
up(il, i) = up(il, i + 1) |
272 |
! calculate precipitating downdraft mass flux under |
vp(il, i) = vp(il, i + 1) |
|
! hydrostatic approximation |
|
|
|
|
|
if (i /= 1) then |
|
|
tevap = max(0., evap(il, i)) |
|
|
delth = max(0.001, (th(il, i) - th(il, i - 1))) |
|
|
mp(il, i) = 100. * ginv * lvcp(il, i) * sigd * tevap & |
|
|
* (p(il, i - 1) - p(il, i)) / delth |
|
|
|
|
|
! If hydrostatic assumption fails, solve cubic |
|
|
! difference equation for downdraft theta and mass |
|
|
! flux from two simultaneous differential equations |
|
|
|
|
|
amfac = sigd * sigd * 70. * ph(il, i) & |
|
|
* (p(il, i - 1) - p(il, i)) & |
|
|
* (th(il, i) - th(il, i - 1)) / (tv(il, i) * th(il, i)) |
|
|
amp2 = abs(mp(il, i + 1) * mp(il, i + 1) - mp(il, i) & |
|
|
* mp(il, i)) |
|
|
|
|
|
if (amp2 > 0.1 * amfac) then |
|
|
xf = 100. * sigd * sigd * sigd * (ph(il, i) & |
|
|
- ph(il, i + 1)) |
|
|
tf = b(il, i) - 5. * (th(il, i) - th(il, i - 1)) & |
|
|
* t(il, i) / (lvcp(il, i) * sigd * th(il, i)) |
|
|
af = xf * tf + mp(il, i + 1) * mp(il, i + 1) * tinv |
|
|
bf = 2. * (tinv * mp(il, i + 1))**3 + tinv & |
|
|
* mp(il, i + 1) * xf * tf + 50. * (p(il, i - 1) & |
|
|
- p(il, i)) * xf * tevap |
|
|
fac2 = 1. |
|
|
if (bf < 0.) fac2 = - 1. |
|
|
bf = abs(bf) |
|
|
ur = 0.25 * bf * bf - af * af * af * tinv * tinv * tinv |
|
|
|
|
|
if (ur >= 0.) then |
|
|
sru = sqrt(ur) |
|
|
fac = 1. |
|
|
if ((0.5 * bf - sru) < 0.) fac = - 1. |
|
|
mp(il, i) = mp(il, i + 1) * tinv & |
|
|
+ (0.5 * bf + sru)**tinv & |
|
|
+ fac * (abs(0.5 * bf - sru))**tinv |
|
|
else |
|
|
d = atan(2. * sqrt(- ur) / (bf + 1e-28)) |
|
|
if (fac2 < 0.)d = 3.14159 - d |
|
|
mp(il, i) = mp(il, i + 1) * tinv + 2. & |
|
|
* sqrt(af * tinv) * cos(d * tinv) |
|
|
endif |
|
|
|
|
|
mp(il, i) = max(0., mp(il, i)) |
|
|
|
|
|
! Il y a vraisemblablement une erreur dans la |
|
|
! ligne suivante : il faut diviser par (mp(il, |
|
|
! i) * sigd * grav) et non par (mp(il, i) + sigd |
|
|
! * 0.1). Et il faut bien revoir les facteurs |
|
|
! 100. |
|
|
b(il, i - 1) = b(il, i) + 100. * (p(il, i - 1) & |
|
|
- p(il, i)) * tevap / (mp(il, i) + sigd * 0.1) & |
|
|
- 10. * (th(il, i) - th(il, i - 1)) * t(il, i) & |
|
|
/ (lvcp(il, i) * sigd * th(il, i)) |
|
|
b(il, i - 1) = max(b(il, i - 1), 0.) |
|
273 |
endif |
endif |
|
|
|
|
! limit magnitude of mp(i) to meet cfl condition |
|
|
ampmax = 2. * (ph(il, i) - ph(il, i + 1)) * delti |
|
|
amp2 = 2. * (ph(il, i - 1) - ph(il, i)) * delti |
|
|
ampmax = min(ampmax, amp2) |
|
|
mp(il, i) = min(mp(il, i), ampmax) |
|
|
|
|
|
! force mp to decrease linearly to zero |
|
|
! between cloud base and the surface |
|
|
if (p(il, i) > p(il, icb(il))) mp(il, i) = mp(il, icb(il)) & |
|
|
* (p(il, 1) - p(il, i)) / (p(il, 1) - p(il, icb(il))) |
|
|
endif ! i == 1 |
|
|
|
|
|
! find mixing ratio of precipitating downdraft |
|
|
|
|
|
if (i /= inb(il)) then |
|
|
rp(il, i) = rr(il, i) |
|
|
|
|
|
if (mp(il, i) > mp(il, i + 1)) then |
|
|
rp(il, i) = rp(il, i + 1) * mp(il, i + 1) + rr(il, i) & |
|
|
* (mp(il, i) - mp(il, i + 1)) + 100. * ginv & |
|
|
* 0.5 * sigd * (ph(il, i) - ph(il, i + 1)) & |
|
|
* (evap(il, i + 1) + evap(il, i)) |
|
|
rp(il, i) = rp(il, i) / mp(il, i) |
|
|
up(il, i) = up(il, i + 1) * mp(il, i + 1) + u(il, i) & |
|
|
* (mp(il, i) - mp(il, i + 1)) |
|
|
up(il, i) = up(il, i) / mp(il, i) |
|
|
vp(il, i) = vp(il, i + 1) * mp(il, i + 1) + v(il, i) & |
|
|
* (mp(il, i) - mp(il, i + 1)) |
|
|
vp(il, i) = vp(il, i) / mp(il, i) |
|
|
else |
|
|
if (mp(il, i + 1) > 1e-16) then |
|
|
rp(il, i) = rp(il, i + 1) + 100. * ginv * 0.5 * sigd & |
|
|
* (ph(il, i) - ph(il, i + 1)) & |
|
|
* (evap(il, i + 1) + evap(il, i)) / mp(il, i + 1) |
|
|
up(il, i) = up(il, i + 1) |
|
|
vp(il, i) = vp(il, i + 1) |
|
|
endif |
|
|
endif |
|
|
|
|
|
rp(il, i) = min(rp(il, i), rs(il, i)) |
|
|
rp(il, i) = max(rp(il, i), 0.) |
|
274 |
endif |
endif |
275 |
|
|
276 |
|
qp(il, i) = min(qp(il, i), qs(il, i)) |
277 |
|
qp(il, i) = max(qp(il, i), 0.) |
278 |
endif |
endif |
279 |
end do |
endif |
280 |
end if |
end do loop_horizontal |
281 |
end DO downdraft_loop |
end DO downdraft_loop |
282 |
|
|
283 |
end SUBROUTINE cv30_unsat |
end SUBROUTINE cv30_unsat |