8 |
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9 |
contains |
contains |
10 |
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11 |
SUBROUTINE yamada4(ngrid, dt, g, zlev, zlay, u, v, teta, cd, q2, km, kn, kq, & |
SUBROUTINE yamada4(dt, g, zlev, zlay, u, v, teta, cd, q2, km, kn, kq, ustar) |
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ustar, iflag_pbl) |
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12 |
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13 |
! From LMDZ4/libf/phylmd/yamada4.F, version 1.1 2004/06/22 11:45:36 |
! From LMDZ4/libf/phylmd/yamada4.F, version 1.1 2004/06/22 11:45:36 |
14 |
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15 |
use nr_util, only: assert |
USE conf_phys_m, ONLY: iflag_pbl |
16 |
USE dimphy, ONLY: klev |
USE dimphy, ONLY: klev |
17 |
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use nr_util, only: assert, assert_eq |
18 |
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integer, intent(in):: ngrid |
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19 |
REAL, intent(in):: dt ! pas de temps |
REAL, intent(in):: dt ! pas de temps |
20 |
real, intent(in):: g |
real, intent(in):: g |
21 |
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22 |
REAL zlev(ngrid, klev+1) |
REAL zlev(:, :) ! (knon, klev + 1) |
23 |
! altitude \`a chaque niveau (interface inf\'erieure de la couche de |
! altitude \`a chaque niveau (interface inf\'erieure de la couche de |
24 |
! m\^eme indice) |
! m\^eme indice) |
25 |
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26 |
REAL zlay(ngrid, klev) ! altitude au centre de chaque couche |
REAL, intent(in):: zlay(:, :) ! (knon, klev) altitude au centre de |
27 |
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! chaque couche |
28 |
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29 |
REAL u(ngrid, klev), v(ngrid, klev) |
REAL, intent(in):: u(:, :), v(:, :) ! (knon, klev) |
30 |
! vitesse au centre de chaque couche (en entr\'ee : la valeur au |
! vitesse au centre de chaque couche (en entr\'ee : la valeur au |
31 |
! d\'ebut du pas de temps) |
! d\'ebut du pas de temps) |
32 |
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33 |
REAL, intent(in):: teta(ngrid, klev) |
REAL, intent(in):: teta(:, :) ! (knon, klev) |
34 |
! temp\'erature potentielle au centre de chaque couche (en entr\'ee : |
! temp\'erature potentielle au centre de chaque couche (en entr\'ee : |
35 |
! la valeur au d\'ebut du pas de temps) |
! la valeur au d\'ebut du pas de temps) |
36 |
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37 |
REAL, intent(in):: cd(:) ! (ngrid) cdrag, valeur au d\'ebut du pas de temps |
REAL, intent(in):: cd(:) ! (knon) cdrag, valeur au d\'ebut du pas de temps |
38 |
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39 |
REAL, intent(inout):: q2(ngrid, klev+1) |
REAL, intent(inout):: q2(:, :) ! (knon, klev + 1) |
40 |
! $q^2$ au bas de chaque couche |
! $q^2$ au bas de chaque couche |
41 |
! En entr\'ee : la valeur au d\'ebut du pas de temps ; en sortie : la |
! En entr\'ee : la valeur au d\'ebut du pas de temps ; en sortie : la |
42 |
! valeur \`a la fin du pas de temps. |
! valeur \`a la fin du pas de temps. |
43 |
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44 |
REAL km(ngrid, klev+1) |
REAL km(:, :) ! (knon, klev + 1) |
45 |
! diffusivit\'e turbulente de quantit\'e de mouvement (au bas de |
! diffusivit\'e turbulente de quantit\'e de mouvement (au bas de |
46 |
! chaque couche) (en sortie : la valeur \`a la fin du pas de temps) |
! chaque couche) (en sortie : la valeur \`a la fin du pas de temps) |
47 |
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48 |
REAL kn(ngrid, klev+1) |
REAL kn(:, :) ! (knon, klev + 1) |
49 |
! diffusivit\'e turbulente des scalaires (au bas de chaque couche) |
! diffusivit\'e turbulente des scalaires (au bas de chaque couche) |
50 |
! (en sortie : la valeur \`a la fin du pas de temps) |
! (en sortie : la valeur \`a la fin du pas de temps) |
51 |
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52 |
REAL kq(ngrid, klev+1) |
REAL kq(:, :) ! (knon, klev + 1) |
53 |
real ustar(ngrid) |
real, intent(in):: ustar(:) ! (knon) |
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integer, intent(in):: iflag_pbl |
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! iflag_pbl doit valoir entre 6 et 9 |
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! l = 6, on prend syst\'ematiquement une longueur d'\'equilibre |
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! iflag_pbl = 6 : MY 2.0 |
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! iflag_pbl = 7 : MY 2.0.Fournier |
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! iflag_pbl = 8 : MY 2.5 |
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! iflag_pbl = 9 : un test ? |
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54 |
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55 |
! Local: |
! Local: |
56 |
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integer knon |
57 |
real kmin, qmin, pblhmin(ngrid), coriol(ngrid) |
real kmin, qmin |
58 |
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real pblhmin(size(cd)), coriol(size(cd)) ! (knon) |
59 |
real qpre |
real qpre |
60 |
REAL unsdz(ngrid, klev) |
REAL unsdz(size(zlay, 1), size(zlay, 2)) ! (knon, klev) |
61 |
REAL unsdzdec(ngrid, klev+1) |
REAL unsdzdec(size(zlev, 1), size(zlev, 2)) ! (knon, klev + 1) |
62 |
REAL kmpre(ngrid, klev+1), tmp2 |
real delta(size(zlev, 1), size(zlev, 2)) ! (knon, klev + 1) |
63 |
REAL mpre(ngrid, klev+1) |
real aa(size(zlev, 1), size(zlev, 2)) ! (knon, klev + 1) |
64 |
real delta(ngrid, klev+1) |
real aa1 |
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real aa(ngrid, klev+1), aa1 |
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integer, PARAMETER:: nlev = klev+1 |
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65 |
logical:: first = .true. |
logical:: first = .true. |
66 |
integer:: ipas = 0 |
integer:: ipas = 0 |
67 |
integer ig, k |
integer ig, k |
68 |
real ri |
real ri |
69 |
real rif(ngrid, klev+1), sm(ngrid, klev+1), alpha(ngrid, klev) |
real, dimension(size(zlev, 1), size(zlev, 2)):: rif, sm ! (knon, klev + 1) |
70 |
real m2(ngrid, klev+1), dz(ngrid, klev+1), zq, n2(ngrid, klev+1) |
real alpha(size(zlay, 1), size(zlay, 2)) ! (knon, klev) |
71 |
real dtetadz(ngrid, klev+1) |
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72 |
real m2cstat, mcstat, kmcstat |
real, dimension(size(zlev, 1), size(zlev, 2)):: m2, dz, n2 |
73 |
real l(ngrid, klev+1) |
! (knon, klev + 1) |
74 |
real l0(ngrid) |
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75 |
real sq(ngrid), sqz(ngrid), zz(ngrid, klev+1) |
real zq |
76 |
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real dtetadz(size(zlev, 1), size(zlev, 2)) ! (knon, klev + 1) |
77 |
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real l(size(zlev, 1), size(zlev, 2)) ! (knon, klev + 1) |
78 |
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real l0(size(cd)) ! (knon) |
79 |
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real sq(size(cd)), sqz(size(cd)) ! (knon) |
80 |
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real zz(size(zlev, 1), size(zlev, 2)) ! (knon, klev + 1) |
81 |
integer iter |
integer iter |
82 |
real:: ric = 0.195, rifc = 0.191, b1 = 16.6 |
real:: ric = 0.195, rifc = 0.191, b1 = 16.6 |
83 |
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84 |
!----------------------------------------------------------------------- |
!----------------------------------------------------------------------- |
85 |
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86 |
call assert(iflag_pbl >= 6 .and. iflag_pbl <= 9, "yamada4") |
call assert(any(iflag_pbl == [6, 8, 9]), "yamada4 iflag_pbl") |
87 |
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knon = assert_eq([size(zlev, 1), size(zlay, 1), size(u, 1), size(v, 1), & |
88 |
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size(teta, 1), size(cd), size(q2, 1), size(km, 1), size(kn, 1), & |
89 |
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size(kq, 1)], "yamada4 knon") |
90 |
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call assert(klev == [size(zlev, 2) - 1, size(zlay, 2), size(u, 2), & |
91 |
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size(v, 2), size(teta, 2), size(q2, 2) - 1, size(km, 2) - 1, & |
92 |
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size(kn, 2) - 1, size(kq, 2) - 1], "yamada4 klev") |
93 |
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94 |
ipas = ipas+1 |
ipas = ipas + 1 |
95 |
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96 |
! les increments verticaux |
! les increments verticaux |
97 |
DO ig = 1, ngrid |
DO ig = 1, knon |
98 |
! alerte: zlev n'est pas declare a nlev |
! alerte: zlev n'est pas declare a klev + 1 |
99 |
zlev(ig, nlev) = zlay(ig, klev) +(zlay(ig, klev) - zlev(ig, nlev-1)) |
zlev(ig, klev + 1) = zlay(ig, klev) + (zlay(ig, klev) - zlev(ig, klev)) |
100 |
ENDDO |
ENDDO |
101 |
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102 |
DO k = 1, klev |
DO k = 1, klev |
103 |
DO ig = 1, ngrid |
DO ig = 1, knon |
104 |
unsdz(ig, k) = 1.E+0/(zlev(ig, k+1)-zlev(ig, k)) |
unsdz(ig, k) = 1.E+0/(zlev(ig, k + 1)-zlev(ig, k)) |
105 |
ENDDO |
ENDDO |
106 |
ENDDO |
ENDDO |
107 |
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108 |
DO ig = 1, ngrid |
DO ig = 1, knon |
109 |
unsdzdec(ig, 1) = 1.E+0/(zlay(ig, 1)-zlev(ig, 1)) |
unsdzdec(ig, 1) = 1.E+0/(zlay(ig, 1)-zlev(ig, 1)) |
110 |
ENDDO |
ENDDO |
111 |
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112 |
DO k = 2, klev |
DO k = 2, klev |
113 |
DO ig = 1, ngrid |
DO ig = 1, knon |
114 |
unsdzdec(ig, k) = 1.E+0/(zlay(ig, k)-zlay(ig, k-1)) |
unsdzdec(ig, k) = 1.E+0/(zlay(ig, k)-zlay(ig, k-1)) |
115 |
ENDDO |
ENDDO |
116 |
ENDDO |
ENDDO |
117 |
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118 |
DO ig = 1, ngrid |
DO ig = 1, knon |
119 |
unsdzdec(ig, klev+1) = 1.E+0/(zlev(ig, klev+1)-zlay(ig, klev)) |
unsdzdec(ig, klev + 1) = 1.E+0/(zlev(ig, klev + 1)-zlay(ig, klev)) |
120 |
ENDDO |
ENDDO |
121 |
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122 |
do k = 2, klev |
do k = 2, klev |
123 |
do ig = 1, ngrid |
do ig = 1, knon |
124 |
dz(ig, k) = zlay(ig, k)-zlay(ig, k-1) |
dz(ig, k) = zlay(ig, k)-zlay(ig, k-1) |
125 |
m2(ig, k) = ((u(ig, k)-u(ig, k-1))**2+(v(ig, k)-v(ig, k-1))**2) & |
m2(ig, k) = ((u(ig, k)-u(ig, k-1))**2 + (v(ig, k)-v(ig, k-1))**2) & |
126 |
/(dz(ig, k)*dz(ig, k)) |
/(dz(ig, k)*dz(ig, k)) |
127 |
dtetadz(ig, k) = (teta(ig, k)-teta(ig, k-1))/dz(ig, k) |
dtetadz(ig, k) = (teta(ig, k)-teta(ig, k-1))/dz(ig, k) |
128 |
n2(ig, k) = g*2.*dtetadz(ig, k)/(teta(ig, k-1)+teta(ig, k)) |
n2(ig, k) = g*2.*dtetadz(ig, k)/(teta(ig, k-1) + teta(ig, k)) |
129 |
ri = n2(ig, k)/max(m2(ig, k), 1.e-10) |
ri = n2(ig, k)/max(m2(ig, k), 1.e-10) |
130 |
if (ri.lt.ric) then |
if (ri.lt.ric) then |
131 |
rif(ig, k) = frif(ri) |
rif(ig, k) = frif(ri) |
147 |
! It\'eration pour d\'eterminer la longueur de m\'elange |
! It\'eration pour d\'eterminer la longueur de m\'elange |
148 |
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149 |
if (first .or. iflag_pbl == 6) then |
if (first .or. iflag_pbl == 6) then |
150 |
do ig = 1, ngrid |
do ig = 1, knon |
151 |
l0(ig) = 10. |
l0(ig) = 10. |
152 |
enddo |
enddo |
153 |
do k = 2, klev-1 |
do k = 2, klev-1 |
154 |
do ig = 1, ngrid |
do ig = 1, knon |
155 |
l(ig, k) = l0(ig) * kap * zlev(ig, k) & |
l(ig, k) = l0(ig) * kap * zlev(ig, k) & |
156 |
/ (kap * zlev(ig, k) + l0(ig)) |
/ (kap * zlev(ig, k) + l0(ig)) |
157 |
enddo |
enddo |
158 |
enddo |
enddo |
159 |
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160 |
do iter = 1, 10 |
do iter = 1, 10 |
161 |
do ig = 1, ngrid |
do ig = 1, knon |
162 |
sq(ig) = 1e-10 |
sq(ig) = 1e-10 |
163 |
sqz(ig) = 1e-10 |
sqz(ig) = 1e-10 |
164 |
enddo |
enddo |
165 |
do k = 2, klev-1 |
do k = 2, klev-1 |
166 |
do ig = 1, ngrid |
do ig = 1, knon |
167 |
q2(ig, k) = l(ig, k)**2 * zz(ig, k) |
q2(ig, k) = l(ig, k)**2 * zz(ig, k) |
168 |
l(ig, k) = fl(zlev(ig, k), l0(ig), q2(ig, k), n2(ig, k)) |
l(ig, k) = fl(zlev(ig, k), l0(ig), q2(ig, k), n2(ig, k)) |
169 |
zq = sqrt(q2(ig, k)) |
zq = sqrt(q2(ig, k)) |
172 |
sq(ig) = sq(ig) + zq * (zlay(ig, k) - zlay(ig, k-1)) |
sq(ig) = sq(ig) + zq * (zlay(ig, k) - zlay(ig, k-1)) |
173 |
enddo |
enddo |
174 |
enddo |
enddo |
175 |
do ig = 1, ngrid |
do ig = 1, knon |
176 |
l0(ig) = 0.2 * sqz(ig) / sq(ig) |
l0(ig) = 0.2 * sqz(ig) / sq(ig) |
177 |
enddo |
enddo |
178 |
enddo |
enddo |
181 |
! Calcul de la longueur de melange. |
! Calcul de la longueur de melange. |
182 |
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183 |
! Mise a jour de l0 |
! Mise a jour de l0 |
184 |
do ig = 1, ngrid |
do ig = 1, knon |
185 |
sq(ig) = 1.e-10 |
sq(ig) = 1.e-10 |
186 |
sqz(ig) = 1.e-10 |
sqz(ig) = 1.e-10 |
187 |
enddo |
enddo |
188 |
do k = 2, klev-1 |
do k = 2, klev-1 |
189 |
do ig = 1, ngrid |
do ig = 1, knon |
190 |
zq = sqrt(q2(ig, k)) |
zq = sqrt(q2(ig, k)) |
191 |
sqz(ig) = sqz(ig)+zq*zlev(ig, k)*(zlay(ig, k)-zlay(ig, k-1)) |
sqz(ig) = sqz(ig) + zq*zlev(ig, k)*(zlay(ig, k)-zlay(ig, k-1)) |
192 |
sq(ig) = sq(ig)+zq*(zlay(ig, k)-zlay(ig, k-1)) |
sq(ig) = sq(ig) + zq*(zlay(ig, k)-zlay(ig, k-1)) |
193 |
enddo |
enddo |
194 |
enddo |
enddo |
195 |
do ig = 1, ngrid |
do ig = 1, knon |
196 |
l0(ig) = 0.2*sqz(ig)/sq(ig) |
l0(ig) = 0.2*sqz(ig)/sq(ig) |
197 |
enddo |
enddo |
198 |
! calcul de l(z) |
! calcul de l(z) |
199 |
do k = 2, klev |
do k = 2, klev |
200 |
do ig = 1, ngrid |
do ig = 1, knon |
201 |
l(ig, k) = fl(zlev(ig, k), l0(ig), q2(ig, k), n2(ig, k)) |
l(ig, k) = fl(zlev(ig, k), l0(ig), q2(ig, k), n2(ig, k)) |
202 |
if (first) then |
if (first) then |
203 |
q2(ig, k) = l(ig, k)**2 * zz(ig, k) |
q2(ig, k) = l(ig, k)**2 * zz(ig, k) |
205 |
enddo |
enddo |
206 |
enddo |
enddo |
207 |
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! Yamada 2.0 |
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208 |
if (iflag_pbl == 6) then |
if (iflag_pbl == 6) then |
209 |
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! Yamada 2.0 |
210 |
do k = 2, klev |
do k = 2, klev |
211 |
do ig = 1, ngrid |
do ig = 1, knon |
212 |
q2(ig, k) = l(ig, k)**2 * zz(ig, k) |
q2(ig, k) = l(ig, k)**2 * zz(ig, k) |
213 |
enddo |
enddo |
214 |
enddo |
enddo |
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else if (iflag_pbl == 7) then |
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! Yamada 2.Fournier |
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! Calcul de l, km, au pas precedent |
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do k = 2, klev |
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do ig = 1, ngrid |
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delta(ig, k) = q2(ig, k) / (l(ig, k)**2 * sm(ig, k)) |
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kmpre(ig, k) = l(ig, k) * sqrt(q2(ig, k)) * sm(ig, k) |
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mpre(ig, k) = sqrt(m2(ig, k)) |
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enddo |
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enddo |
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do k = 2, klev-1 |
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do ig = 1, ngrid |
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m2cstat = max(alpha(ig, k)*n2(ig, k)+delta(ig, k)/b1, 1.e-12) |
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mcstat = sqrt(m2cstat) |
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! puis on ecrit la valeur de q qui annule l'equation de m |
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! supposee en q3 |
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IF (k == 2) THEN |
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kmcstat = 1.E+0 / mcstat & |
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*(unsdz(ig, k)*kmpre(ig, k+1) & |
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*mpre(ig, k+1) & |
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+unsdz(ig, k-1) & |
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*cd(ig) & |
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*(sqrt(u(ig, 3)**2+v(ig, 3)**2) & |
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-mcstat/unsdzdec(ig, k) & |
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-mpre(ig, k+1)/unsdzdec(ig, k+1))**2) & |
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/(unsdz(ig, k)+unsdz(ig, k-1)) |
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ELSE |
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kmcstat = 1.E+0 / mcstat & |
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*(unsdz(ig, k)*kmpre(ig, k+1) & |
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*mpre(ig, k+1) & |
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+unsdz(ig, k-1)*kmpre(ig, k-1) & |
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*mpre(ig, k-1)) & |
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/(unsdz(ig, k)+unsdz(ig, k-1)) |
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ENDIF |
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tmp2 = kmcstat / (sm(ig, k) / q2(ig, k)) /l(ig, k) |
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q2(ig, k) = max(tmp2, 1.e-12)**(2./3.) |
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enddo |
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enddo |
|
215 |
else if (iflag_pbl >= 8) then |
else if (iflag_pbl >= 8) then |
216 |
! Yamada 2.5 a la Didi |
! Yamada 2.5 a la Didi |
217 |
|
|
218 |
! Calcul de l, km, au pas precedent |
! Calcul de l, km, au pas precedent |
219 |
do k = 2, klev |
do k = 2, klev |
220 |
do ig = 1, ngrid |
do ig = 1, knon |
221 |
delta(ig, k) = q2(ig, k)/(l(ig, k)**2*sm(ig, k)) |
delta(ig, k) = q2(ig, k)/(l(ig, k)**2*sm(ig, k)) |
222 |
if (delta(ig, k).lt.1.e-20) then |
if (delta(ig, k).lt.1.e-20) then |
223 |
delta(ig, k) = 1.e-20 |
delta(ig, k) = 1.e-20 |
228 |
qpre = sqrt(q2(ig, k)) |
qpre = sqrt(q2(ig, k)) |
229 |
if (iflag_pbl == 8) then |
if (iflag_pbl == 8) then |
230 |
if (aa(ig, k).gt.0.) then |
if (aa(ig, k).gt.0.) then |
231 |
q2(ig, k) = (qpre+aa(ig, k)*qpre*qpre)**2 |
q2(ig, k) = (qpre + aa(ig, k)*qpre*qpre)**2 |
232 |
else |
else |
233 |
q2(ig, k) = (qpre/(1.-aa(ig, k)*qpre))**2 |
q2(ig, k) = (qpre/(1.-aa(ig, k)*qpre))**2 |
234 |
endif |
endif |
247 |
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|
248 |
! Calcul des coefficients de m\'elange |
! Calcul des coefficients de m\'elange |
249 |
do k = 2, klev |
do k = 2, klev |
250 |
do ig = 1, ngrid |
do ig = 1, knon |
251 |
zq = sqrt(q2(ig, k)) |
zq = sqrt(q2(ig, k)) |
252 |
km(ig, k) = l(ig, k)*zq*sm(ig, k) |
km(ig, k) = l(ig, k)*zq*sm(ig, k) |
253 |
kn(ig, k) = km(ig, k)*alpha(ig, k) |
kn(ig, k) = km(ig, k)*alpha(ig, k) |
261 |
! Traitement particulier pour les cas tres stables. |
! Traitement particulier pour les cas tres stables. |
262 |
! D'apres Holtslag Boville. |
! D'apres Holtslag Boville. |
263 |
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|
264 |
do ig = 1, ngrid |
do ig = 1, knon |
265 |
coriol(ig) = 1.e-4 |
coriol(ig) = 1.e-4 |
266 |
pblhmin(ig) = 0.07*ustar(ig)/max(abs(coriol(ig)), 2.546e-5) |
pblhmin(ig) = 0.07*ustar(ig)/max(abs(coriol(ig)), 2.546e-5) |
267 |
enddo |
enddo |
268 |
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print *, 'pblhmin ', pblhmin |
|
269 |
do k = 2, klev |
do k = 2, klev |
270 |
do ig = 1, ngrid |
do ig = 1, knon |
271 |
if (teta(ig, 2).gt.teta(ig, 1)) then |
if (teta(ig, 2).gt.teta(ig, 1)) then |
272 |
qmin = ustar(ig)*(max(1.-zlev(ig, k)/pblhmin(ig), 0.))**2 |
qmin = ustar(ig)*(max(1.-zlev(ig, k)/pblhmin(ig), 0.))**2 |
273 |
kmin = kap*zlev(ig, k)*qmin |
kmin = kap*zlev(ig, k)*qmin |
295 |
|
|
296 |
real, intent(in):: ri |
real, intent(in):: ri |
297 |
|
|
298 |
frif = 0.6588*(ri+0.1776-sqrt(ri*ri-0.3221*ri+0.03156)) |
frif = 0.6588*(ri + 0.1776-sqrt(ri*ri-0.3221*ri + 0.03156)) |
299 |
|
|
300 |
end function frif |
end function frif |
301 |
|
|