| 1 |
module cv30_unsat_m |
| 2 |
|
| 3 |
implicit none |
| 4 |
|
| 5 |
contains |
| 6 |
|
| 7 |
SUBROUTINE cv30_unsat(icb, inb, t, q, qs, gz, u, v, p, ph, th, tv, lv, cpn, & |
| 8 |
ep, sigp, clw, m, ment, elij, delt, plcl, mp, qp, up, vp, wt, water, & |
| 9 |
evap, b) |
| 10 |
|
| 11 |
use cv30_param_m, only: nl, sigd |
| 12 |
use cvthermo, only: cpd, ginv, grav |
| 13 |
USE dimphy, ONLY: klon, klev |
| 14 |
|
| 15 |
! inputs: |
| 16 |
integer, intent(in):: icb(:), inb(:) ! (ncum) |
| 17 |
real, intent(in):: t(:, :), q(:, :), qs(:, :) ! (klon, klev) |
| 18 |
real, intent(in):: gz(:, :) ! (klon, klev) |
| 19 |
real, intent(in):: u(:, :), v(:, :) ! (klon, klev) |
| 20 |
real p(klon, klev), ph(klon, klev + 1) |
| 21 |
real th(klon, klev) |
| 22 |
real tv(klon, klev) |
| 23 |
real lv(klon, klev) |
| 24 |
real cpn(klon, klev) |
| 25 |
real, intent(in):: ep(klon, klev), sigp(klon, klev), clw(klon, klev) |
| 26 |
real m(klon, klev), ment(klon, klev, klev), elij(klon, klev, klev) |
| 27 |
real, intent(in):: delt |
| 28 |
real plcl(klon) |
| 29 |
|
| 30 |
! outputs: |
| 31 |
real, intent(out):: mp(klon, klev) |
| 32 |
real, intent(out):: qp(:, :), up(:, :), vp(:, :) ! (ncum, nl) |
| 33 |
real wt(klon, klev), water(klon, klev), evap(klon, klev) |
| 34 |
real, intent(out):: b(:, :) ! (ncum, nl - 1) |
| 35 |
|
| 36 |
! Local: |
| 37 |
integer ncum |
| 38 |
integer i, j, il, num1 |
| 39 |
real tinv, delti |
| 40 |
real awat, afac, afac1, afac2, bfac |
| 41 |
real pr1, pr2, sigt, b6, c6, revap, tevap, delth |
| 42 |
real amfac, amp2, xf, tf, fac2, ur, sru, fac, d, af, bf |
| 43 |
real ampmax |
| 44 |
real lvcp(klon, klev) |
| 45 |
real wdtrain(size(icb)) |
| 46 |
logical lwork(size(icb)) |
| 47 |
|
| 48 |
!------------------------------------------------------ |
| 49 |
|
| 50 |
ncum = size(icb) |
| 51 |
delti = 1. / delt |
| 52 |
tinv = 1. / 3. |
| 53 |
mp = 0. |
| 54 |
b = 0. |
| 55 |
|
| 56 |
do i = 1, nl |
| 57 |
do il = 1, ncum |
| 58 |
qp(il, i) = q(il, i) |
| 59 |
up(il, i) = u(il, i) |
| 60 |
vp(il, i) = v(il, i) |
| 61 |
wt(il, i) = 0.001 |
| 62 |
water(il, i) = 0. |
| 63 |
evap(il, i) = 0. |
| 64 |
lvcp(il, i) = lv(il, i) / cpn(il, i) |
| 65 |
enddo |
| 66 |
enddo |
| 67 |
|
| 68 |
! check whether ep(inb) = 0, if so, skip precipitating |
| 69 |
! downdraft calculation |
| 70 |
forall (il = 1:ncum) lwork(il) = ep(il, inb(il)) >= 1e-4 |
| 71 |
|
| 72 |
wdtrain = 0. |
| 73 |
|
| 74 |
downdraft_loop: DO i = nl - 1, 1, - 1 |
| 75 |
num1 = 0 |
| 76 |
|
| 77 |
do il = 1, ncum |
| 78 |
if (i <= inb(il) .and. lwork(il)) num1 = num1 + 1 |
| 79 |
enddo |
| 80 |
|
| 81 |
if (num1 > 0) then |
| 82 |
! integrate liquid water equation to find condensed water |
| 83 |
! and condensed water flux |
| 84 |
|
| 85 |
! calculate detrained precipitation |
| 86 |
|
| 87 |
do il = 1, ncum |
| 88 |
if (i <= inb(il) .and. lwork(il)) then |
| 89 |
wdtrain(il) = grav * ep(il, i) * m(il, i) * clw(il, i) |
| 90 |
endif |
| 91 |
enddo |
| 92 |
|
| 93 |
if (i > 1) then |
| 94 |
do j = 1, i - 1 |
| 95 |
do il = 1, ncum |
| 96 |
if (i <= inb(il) .and. lwork(il)) then |
| 97 |
awat = elij(il, j, i) - (1. - ep(il, i)) * clw(il, i) |
| 98 |
awat = max(awat, 0.) |
| 99 |
wdtrain(il) = wdtrain(il) + grav * awat * ment(il, j, i) |
| 100 |
endif |
| 101 |
enddo |
| 102 |
end do |
| 103 |
endif |
| 104 |
|
| 105 |
! find rain water and evaporation using provisional |
| 106 |
! estimates of qp(i) and qp(i - 1) |
| 107 |
|
| 108 |
do il = 1, ncum |
| 109 |
if (i <= inb(il) .and. lwork(il)) then |
| 110 |
wt(il, i) = 45. |
| 111 |
|
| 112 |
if (i < inb(il)) then |
| 113 |
qp(il, i) = qp(il, i + 1) + (cpd * (t(il, i + 1) & |
| 114 |
- t(il, i)) + gz(il, i + 1) - gz(il, i)) / lv(il, i) |
| 115 |
qp(il, i) = 0.5 * (qp(il, i) + q(il, i)) |
| 116 |
endif |
| 117 |
|
| 118 |
qp(il, i) = max(qp(il, i), 0.) |
| 119 |
qp(il, i) = min(qp(il, i), qs(il, i)) |
| 120 |
qp(il, inb(il)) = q(il, inb(il)) |
| 121 |
|
| 122 |
if (i == 1) then |
| 123 |
afac = p(il, 1) * (qs(il, 1) - qp(il, 1)) & |
| 124 |
/ (1e4 + 2000. * p(il, 1) * qs(il, 1)) |
| 125 |
else |
| 126 |
qp(il, i - 1) = qp(il, i) + (cpd * (t(il, i) & |
| 127 |
- t(il, i - 1)) + gz(il, i) - gz(il, i - 1)) / lv(il, i) |
| 128 |
qp(il, i - 1) = 0.5 * (qp(il, i - 1) + q(il, i - 1)) |
| 129 |
qp(il, i - 1) = min(qp(il, i - 1), qs(il, i - 1)) |
| 130 |
qp(il, i - 1) = max(qp(il, i - 1), 0.) |
| 131 |
afac1 = p(il, i) * (qs(il, i) - qp(il, i)) & |
| 132 |
/ (1e4 + 2000. * p(il, i) * qs(il, i)) |
| 133 |
afac2 = p(il, i - 1) * (qs(il, i - 1) - qp(il, i - 1)) & |
| 134 |
/ (1e4 + 2000. * p(il, i - 1) * qs(il, i - 1)) |
| 135 |
afac = 0.5 * (afac1 + afac2) |
| 136 |
endif |
| 137 |
|
| 138 |
if (i == inb(il)) afac = 0. |
| 139 |
afac = max(afac, 0.) |
| 140 |
bfac = 1. / (sigd * wt(il, i)) |
| 141 |
|
| 142 |
! prise en compte de la variation progressive de sigt dans |
| 143 |
! les couches icb et icb - 1: |
| 144 |
! pour plcl < ph(i + 1), pr1 = 0 & pr2 = 1 |
| 145 |
! pour plcl > ph(i), pr1 = 1 & pr2 = 0 |
| 146 |
! pour ph(i + 1) < plcl < ph(i), pr1 est la proportion a cheval |
| 147 |
! sur le nuage, et pr2 est la proportion sous la base du |
| 148 |
! nuage. |
| 149 |
pr1 = (plcl(il) - ph(il, i + 1)) / (ph(il, i) - ph(il, i + 1)) |
| 150 |
pr1 = max(0., min(1., pr1)) |
| 151 |
pr2 = (ph(il, i) - plcl(il)) / (ph(il, i) - ph(il, i + 1)) |
| 152 |
pr2 = max(0., min(1., pr2)) |
| 153 |
sigt = sigp(il, i) * pr1 + pr2 |
| 154 |
|
| 155 |
b6 = bfac * 50. * sigd * (ph(il, i) - ph(il, i + 1)) * sigt & |
| 156 |
* afac |
| 157 |
c6 = water(il, i + 1) + bfac * wdtrain(il) - 50. * sigd * bfac & |
| 158 |
* (ph(il, i) - ph(il, i + 1)) * evap(il, i + 1) |
| 159 |
if (c6 > 0.) then |
| 160 |
revap = 0.5 * (- b6 + sqrt(b6 * b6 + 4. * c6)) |
| 161 |
evap(il, i) = sigt * afac * revap |
| 162 |
water(il, i) = revap * revap |
| 163 |
else |
| 164 |
evap(il, i) = - evap(il, i + 1) + 0.02 * (wdtrain(il) & |
| 165 |
+ sigd * wt(il, i) * water(il, i + 1)) & |
| 166 |
/ (sigd * (ph(il, i) - ph(il, i + 1))) |
| 167 |
end if |
| 168 |
|
| 169 |
! calculate precipitating downdraft mass flux under |
| 170 |
! hydrostatic approximation |
| 171 |
|
| 172 |
if (i /= 1) then |
| 173 |
tevap = max(0., evap(il, i)) |
| 174 |
delth = max(0.001, (th(il, i) - th(il, i - 1))) |
| 175 |
mp(il, i) = 100. * ginv * lvcp(il, i) * sigd * tevap & |
| 176 |
* (p(il, i - 1) - p(il, i)) / delth |
| 177 |
|
| 178 |
! If hydrostatic assumption fails, solve cubic |
| 179 |
! difference equation for downdraft theta and mass |
| 180 |
! flux from two simultaneous differential equations |
| 181 |
|
| 182 |
amfac = sigd * sigd * 70. * ph(il, i) & |
| 183 |
* (p(il, i - 1) - p(il, i)) & |
| 184 |
* (th(il, i) - th(il, i - 1)) / (tv(il, i) * th(il, i)) |
| 185 |
amp2 = abs(mp(il, i + 1) * mp(il, i + 1) - mp(il, i) & |
| 186 |
* mp(il, i)) |
| 187 |
|
| 188 |
if (amp2 > 0.1 * amfac) then |
| 189 |
xf = 100. * sigd * sigd * sigd * (ph(il, i) & |
| 190 |
- ph(il, i + 1)) |
| 191 |
tf = b(il, i) - 5. * (th(il, i) - th(il, i - 1)) & |
| 192 |
* t(il, i) / (lvcp(il, i) * sigd * th(il, i)) |
| 193 |
af = xf * tf + mp(il, i + 1) * mp(il, i + 1) * tinv |
| 194 |
bf = 2. * (tinv * mp(il, i + 1))**3 + tinv & |
| 195 |
* mp(il, i + 1) * xf * tf + 50. * (p(il, i - 1) & |
| 196 |
- p(il, i)) * xf * tevap |
| 197 |
fac2 = 1. |
| 198 |
if (bf < 0.) fac2 = - 1. |
| 199 |
bf = abs(bf) |
| 200 |
ur = 0.25 * bf * bf - af * af * af * tinv * tinv * tinv |
| 201 |
|
| 202 |
if (ur >= 0.) then |
| 203 |
sru = sqrt(ur) |
| 204 |
fac = 1. |
| 205 |
if ((0.5 * bf - sru) < 0.) fac = - 1. |
| 206 |
mp(il, i) = mp(il, i + 1) * tinv & |
| 207 |
+ (0.5 * bf + sru)**tinv & |
| 208 |
+ fac * (abs(0.5 * bf - sru))**tinv |
| 209 |
else |
| 210 |
d = atan(2. * sqrt(- ur) / (bf + 1e-28)) |
| 211 |
if (fac2 < 0.)d = 3.14159 - d |
| 212 |
mp(il, i) = mp(il, i + 1) * tinv + 2. & |
| 213 |
* sqrt(af * tinv) * cos(d * tinv) |
| 214 |
endif |
| 215 |
|
| 216 |
mp(il, i) = max(0., mp(il, i)) |
| 217 |
|
| 218 |
! Il y a vraisemblablement une erreur dans la |
| 219 |
! ligne suivante : il faut diviser par (mp(il, |
| 220 |
! i) * sigd * grav) et non par (mp(il, i) + sigd |
| 221 |
! * 0.1). Et il faut bien revoir les facteurs |
| 222 |
! 100. |
| 223 |
b(il, i - 1) = b(il, i) + 100. * (p(il, i - 1) & |
| 224 |
- p(il, i)) * tevap / (mp(il, i) + sigd * 0.1) & |
| 225 |
- 10. * (th(il, i) - th(il, i - 1)) * t(il, i) & |
| 226 |
/ (lvcp(il, i) * sigd * th(il, i)) |
| 227 |
b(il, i - 1) = max(b(il, i - 1), 0.) |
| 228 |
endif |
| 229 |
|
| 230 |
! limit magnitude of mp(i) to meet cfl condition |
| 231 |
ampmax = 2. * (ph(il, i) - ph(il, i + 1)) * delti |
| 232 |
amp2 = 2. * (ph(il, i - 1) - ph(il, i)) * delti |
| 233 |
ampmax = min(ampmax, amp2) |
| 234 |
mp(il, i) = min(mp(il, i), ampmax) |
| 235 |
|
| 236 |
! force mp to decrease linearly to zero |
| 237 |
! between cloud base and the surface |
| 238 |
if (p(il, i) > p(il, icb(il))) mp(il, i) = mp(il, icb(il)) & |
| 239 |
* (p(il, 1) - p(il, i)) / (p(il, 1) - p(il, icb(il))) |
| 240 |
endif ! i == 1 |
| 241 |
|
| 242 |
! find mixing ratio of precipitating downdraft |
| 243 |
|
| 244 |
if (i /= inb(il)) then |
| 245 |
qp(il, i) = q(il, i) |
| 246 |
|
| 247 |
if (mp(il, i) > mp(il, i + 1)) then |
| 248 |
qp(il, i) = qp(il, i + 1) * mp(il, i + 1) + q(il, i) & |
| 249 |
* (mp(il, i) - mp(il, i + 1)) + 100. * ginv & |
| 250 |
* 0.5 * sigd * (ph(il, i) - ph(il, i + 1)) & |
| 251 |
* (evap(il, i + 1) + evap(il, i)) |
| 252 |
qp(il, i) = qp(il, i) / mp(il, i) |
| 253 |
up(il, i) = up(il, i + 1) * mp(il, i + 1) + u(il, i) & |
| 254 |
* (mp(il, i) - mp(il, i + 1)) |
| 255 |
up(il, i) = up(il, i) / mp(il, i) |
| 256 |
vp(il, i) = vp(il, i + 1) * mp(il, i + 1) + v(il, i) & |
| 257 |
* (mp(il, i) - mp(il, i + 1)) |
| 258 |
vp(il, i) = vp(il, i) / mp(il, i) |
| 259 |
else |
| 260 |
if (mp(il, i + 1) > 1e-16) then |
| 261 |
qp(il, i) = qp(il, i + 1) + 100. * ginv * 0.5 * sigd & |
| 262 |
* (ph(il, i) - ph(il, i + 1)) & |
| 263 |
* (evap(il, i + 1) + evap(il, i)) / mp(il, i + 1) |
| 264 |
up(il, i) = up(il, i + 1) |
| 265 |
vp(il, i) = vp(il, i + 1) |
| 266 |
endif |
| 267 |
endif |
| 268 |
|
| 269 |
qp(il, i) = min(qp(il, i), qs(il, i)) |
| 270 |
qp(il, i) = max(qp(il, i), 0.) |
| 271 |
endif |
| 272 |
endif |
| 273 |
end do |
| 274 |
end if |
| 275 |
end DO downdraft_loop |
| 276 |
|
| 277 |
end SUBROUTINE cv30_unsat |
| 278 |
|
| 279 |
end module cv30_unsat_m |
Parent Directory
| 
Revision Log