1 |
module coefkz_m |
2 |
|
3 |
IMPLICIT none |
4 |
|
5 |
contains |
6 |
|
7 |
SUBROUTINE coefkz(nsrf, paprs, pplay, ksta, ksta_ter, ts, u, v, t, q, zgeop, & |
8 |
coefm, coefh) |
9 |
|
10 |
! Authors: F. Hourdin, M. Forichon, Z. X. Li (LMD/CNRS) |
11 |
! Date: September 22nd, 1993 |
12 |
|
13 |
! Objet : calculer les coefficients d'échange turbulent dans |
14 |
! l'atmosphère. |
15 |
|
16 |
USE conf_phys_m, ONLY: iflag_pbl |
17 |
USE dimphy, ONLY: klev |
18 |
USE fcttre, ONLY: foede, foeew |
19 |
USE indicesol, ONLY: is_oce |
20 |
USE suphec_m, ONLY: rcpd, rd, retv, rg, rkappa, rlstt, rlvtt, rtt |
21 |
USE yoethf_m, ONLY: r2es, r5ies, r5les, rvtmp2 |
22 |
|
23 |
integer, intent(in):: nsrf ! indicateur de la nature du sol |
24 |
|
25 |
REAL, intent(in):: paprs(:, :) ! (knon, klev + 1) |
26 |
! pression a chaque intercouche (en Pa) |
27 |
|
28 |
real, intent(in):: pplay(:, :) ! (knon, klev) |
29 |
! pression au milieu de chaque couche (en Pa) |
30 |
|
31 |
REAL, intent(in):: ksta, ksta_ter |
32 |
REAL, intent(in):: ts(:) ! (knon) temperature du sol (en Kelvin) |
33 |
REAL, intent(in):: u(:, :), v(:, :) ! (knon, klev) wind |
34 |
REAL, intent(in):: t(:, :) ! (knon, klev) temperature (K) |
35 |
real, intent(in):: q(:, :) ! (knon, klev) vapeur d'eau (kg/kg) |
36 |
REAL, intent(in):: zgeop(:, :) ! (knon, klev) |
37 |
REAL, intent(out):: coefm(:, 2:) ! (knon, 2:klev) coefficient, vitesse |
38 |
|
39 |
real, intent(out):: coefh(:, 2:) ! (knon, 2:klev) |
40 |
! coefficient, chaleur et humidité |
41 |
|
42 |
! Local: |
43 |
|
44 |
INTEGER knon ! nombre de points a traiter |
45 |
|
46 |
INTEGER itop(size(ts)) ! (knon) |
47 |
! numero de couche du sommet de la couche limite |
48 |
|
49 |
! Quelques constantes et options: |
50 |
|
51 |
REAL, PARAMETER:: cepdu2 =0.1**2 |
52 |
REAL, PARAMETER:: CKAP = 0.4 |
53 |
REAL, PARAMETER:: cb = 5. |
54 |
REAL, PARAMETER:: cc = 5. |
55 |
REAL, PARAMETER:: cd = 5. |
56 |
REAL, PARAMETER:: clam = 160. |
57 |
REAL, PARAMETER:: ratqs = 0.05 ! largeur de distribution de vapeur d'eau |
58 |
|
59 |
LOGICAL, PARAMETER:: richum = .TRUE. |
60 |
! utilise le nombre de Richardson humide |
61 |
|
62 |
REAL, PARAMETER:: ric = 0.4 ! nombre de Richardson critique |
63 |
REAL, PARAMETER:: prandtl = 0.4 |
64 |
|
65 |
REAL kstable ! diffusion minimale (situation stable) |
66 |
REAL, PARAMETER:: mixlen = 35. ! constante contrôlant longueur de mélange |
67 |
INTEGER, PARAMETER:: isommet = klev ! sommet de la couche limite |
68 |
|
69 |
LOGICAL, PARAMETER:: tvirtu = .TRUE. |
70 |
! calculer Ri d'une maniere plus performante |
71 |
|
72 |
LOGICAL, PARAMETER:: opt_ec = .FALSE. |
73 |
! formule du Centre Europeen dans l'atmosphere |
74 |
|
75 |
INTEGER i, k |
76 |
REAL zmgeom(size(ts)) |
77 |
REAL ri(size(ts)) |
78 |
REAL l2(size(ts)) |
79 |
REAL zdphi, zdu2, ztvd, ztvu, cdn |
80 |
REAL scf |
81 |
REAL zt, zq, zcvm5, zcor, zqs, zfr, zdqs |
82 |
logical zdelta |
83 |
REAL z2geomf, zalh2, alm2, zscfh, scfm |
84 |
REAL gamt(2:klev) ! contre-gradient pour la chaleur sensible: Kelvin/metre |
85 |
|
86 |
!-------------------------------------------------------------------- |
87 |
|
88 |
knon = size(ts) |
89 |
|
90 |
! Prescrire la valeur de contre-gradient |
91 |
if (iflag_pbl.eq.1) then |
92 |
DO k = 3, klev |
93 |
gamt(k) = - 1E-3 |
94 |
ENDDO |
95 |
gamt(2) = - 2.5E-3 |
96 |
else |
97 |
DO k = 2, klev |
98 |
gamt(k) = 0.0 |
99 |
ENDDO |
100 |
ENDIF |
101 |
|
102 |
IF (nsrf .NE. is_oce ) THEN |
103 |
kstable = ksta_ter |
104 |
ELSE |
105 |
kstable = ksta |
106 |
ENDIF |
107 |
|
108 |
! Calculer les coefficients turbulents dans l'atmosphere |
109 |
|
110 |
itop = isommet |
111 |
|
112 |
loop_vertical: DO k = 2, isommet |
113 |
loop_horiz: DO i = 1, knon |
114 |
zdu2 = MAX(cepdu2, (u(i, k) - u(i, k - 1))**2 & |
115 |
+ (v(i, k) - v(i, k - 1))**2) |
116 |
zmgeom(i) = zgeop(i, k) - zgeop(i, k - 1) |
117 |
zdphi = zmgeom(i) / 2.0 |
118 |
zt = (t(i, k) + t(i, k - 1)) * 0.5 |
119 |
zq = (q(i, k) + q(i, k - 1)) * 0.5 |
120 |
|
121 |
! calculer Qs et dQs/dT: |
122 |
|
123 |
zdelta = RTT >=zt |
124 |
zcvm5 = merge(R5IES * RLSTT, R5LES * RLVTT, zdelta) / RCPD & |
125 |
/ (1. + RVTMP2 * zq) |
126 |
zqs = R2ES * FOEEW(zt, zdelta) / pplay(i, k) |
127 |
zqs = MIN(0.5, zqs) |
128 |
zcor = 1./(1. - RETV * zqs) |
129 |
zqs = zqs * zcor |
130 |
zdqs = FOEDE(zt, zdelta, zcvm5, zqs, zcor) |
131 |
|
132 |
! calculer la fraction nuageuse (processus humide): |
133 |
|
134 |
zfr = (zq + ratqs * zq - zqs) / (2.0 * ratqs * zq) |
135 |
zfr = MAX(0.0, MIN(1.0, zfr)) |
136 |
IF (.NOT.richum) zfr = 0.0 |
137 |
|
138 |
! calculer le nombre de Richardson: |
139 |
|
140 |
IF (tvirtu) THEN |
141 |
ztvd = (t(i, k) & |
142 |
+ zdphi/RCPD/(1. + RVTMP2 * zq) & |
143 |
* ((1. - zfr) + zfr * (1. + RLVTT * zqs/RD/zt)/(1. + zdqs) ) & |
144 |
) * (1. + RETV * q(i, k)) |
145 |
ztvu = (t(i, k - 1) & |
146 |
- zdphi/RCPD/(1. + RVTMP2 * zq) & |
147 |
* ((1. - zfr) + zfr * (1. + RLVTT * zqs/RD/zt)/(1. + zdqs) ) & |
148 |
) * (1. + RETV * q(i, k - 1)) |
149 |
ri(i) = zmgeom(i) * (ztvd - ztvu)/(zdu2 * 0.5 * (ztvd + ztvu)) |
150 |
ri(i) = ri(i) & |
151 |
+ zmgeom(i) * zmgeom(i)/RG * gamt(k) & |
152 |
* (paprs(i, k)/101325.0)**RKAPPA & |
153 |
/(zdu2 * 0.5 * (ztvd + ztvu)) |
154 |
ELSE |
155 |
! calcul de Ridchardson compatible LMD5 |
156 |
ri(i) = (RCPD * (t(i, k) - t(i, k - 1)) & |
157 |
- RD * 0.5 * (t(i, k) + t(i, k - 1))/paprs(i, k) & |
158 |
* (pplay(i, k) - pplay(i, k - 1)) & |
159 |
) * zmgeom(i)/(zdu2 * 0.5 * RCPD * (t(i, k - 1) + t(i, k))) |
160 |
ri(i) = ri(i) + & |
161 |
zmgeom(i) * zmgeom(i) * gamt(k)/RG & |
162 |
* (paprs(i, k)/101325.0)**RKAPPA & |
163 |
/(zdu2 * 0.5 * (t(i, k - 1) + t(i, k))) |
164 |
ENDIF |
165 |
|
166 |
! finalement, les coefficients d'echange sont obtenus: |
167 |
|
168 |
cdn = SQRT(zdu2) / zmgeom(i) * RG |
169 |
|
170 |
IF (opt_ec) THEN |
171 |
z2geomf = zgeop(i, k - 1) + zgeop(i, k) |
172 |
alm2 = (0.5 * ckap/RG * z2geomf & |
173 |
/(1. + 0.5 * ckap/rg/clam * z2geomf))**2 |
174 |
zalh2 = (0.5 * ckap/rg * z2geomf & |
175 |
/(1. + 0.5 * ckap/RG/(clam * SQRT(1.5 * cd)) * z2geomf))**2 |
176 |
IF (ri(i) < 0.) THEN |
177 |
! situation instable |
178 |
scf = ((zgeop(i, k)/zgeop(i, k - 1))**(1./3.) - 1.)**3 & |
179 |
/ (zmgeom(i)/RG)**3 / (zgeop(i, k - 1)/RG) |
180 |
scf = SQRT(- ri(i) * scf) |
181 |
scfm = 1.0 / (1.0 + 3.0 * cb * cc * alm2 * scf) |
182 |
zscfh = 1.0 / (1.0 + 3.0 * cb * cc * zalh2 * scf) |
183 |
coefm(i, k) = cdn * alm2 * (1. - 2. * cb * ri(i) * scfm) |
184 |
coefh(i, k) = cdn * zalh2 * (1. - 3.0 * cb * ri(i) * zscfh) |
185 |
ELSE |
186 |
! situation stable |
187 |
scf = SQRT(1. + cd * ri(i)) |
188 |
coefm(i, k) = cdn * alm2 / (1. + 2. * cb * ri(i) / scf) |
189 |
coefh(i, k) = cdn * zalh2/(1. + 3.0 * cb * ri(i) * scf) |
190 |
ENDIF |
191 |
ELSE |
192 |
l2(i) = (mixlen * MAX(0.0, (paprs(i, k) - paprs(i, itop(i) + 1)) & |
193 |
/(paprs(i, 2) - paprs(i, itop(i) + 1)) ))**2 |
194 |
coefm(i, k) = sqrt(max(cdn**2 * (ric - ri(i)) / ric, kstable)) |
195 |
coefm(i, k) = l2(i) * coefm(i, k) |
196 |
coefh(i, k) = coefm(i, k) / prandtl ! h et m different |
197 |
ENDIF |
198 |
ENDDO loop_horiz |
199 |
ENDDO loop_vertical |
200 |
|
201 |
! Au-delà du sommet, pas de diffusion turbulente : |
202 |
forall (i = 1: knon) |
203 |
coefh(i, itop(i) + 1:) = 0. |
204 |
coefm(i, itop(i) + 1:) = 0. |
205 |
END forall |
206 |
|
207 |
END SUBROUTINE coefkz |
208 |
|
209 |
end module coefkz_m |