| 1 |
SUBROUTINE coefkz(nsrf, knon, paprs, pplay, |
module coefkz_m |
| 2 |
cIM 261103 |
|
| 3 |
. ksta, ksta_ter, |
IMPLICIT none |
| 4 |
cIM 261103 |
|
| 5 |
. ts, rugos, |
contains |
| 6 |
. u,v,t,q, |
|
| 7 |
. qsurf, |
SUBROUTINE coefkz(nsrf, paprs, pplay, ts, u, v, t, q, zgeop, coefm, coefh) |
| 8 |
. pcfm, pcfh) |
|
| 9 |
use dimens_m |
! Authors: F. Hourdin, M. Forichon, Z. X. Li (LMD/CNRS) |
| 10 |
use indicesol |
! Date: September 22nd, 1993 |
| 11 |
use dimphy |
|
| 12 |
use iniprint |
! Objet : calculer les coefficients d'échange turbulent dans |
| 13 |
use YOMCST |
! l'atmosphère. |
| 14 |
use yoethf |
|
| 15 |
use fcttre |
USE clesphys, ONLY: ksta, ksta_ter |
| 16 |
use conf_phys_m |
USE conf_phys_m, ONLY: iflag_pbl |
| 17 |
IMPLICIT none |
USE dimphy, ONLY: klev |
| 18 |
c====================================================================== |
USE fcttre, ONLY: foede, foeew |
| 19 |
c Auteur(s) F. Hourdin, M. Forichon, Z.X. Li (LMD/CNRS) date: 19930922 |
USE indicesol, ONLY: is_oce |
| 20 |
c (une version strictement identique a l'ancien modele) |
USE suphec_m, ONLY: rcpd, rd, retv, rg, rkappa, rlstt, rlvtt, rtt |
| 21 |
c Objet: calculer le coefficient du frottement du sol (Cdrag) et les |
USE yoethf_m, ONLY: r2es, r5ies, r5les, rvtmp2 |
| 22 |
c coefficients d'echange turbulent dans l'atmosphere. |
|
| 23 |
c Arguments: |
integer, intent(in):: nsrf ! indicateur de la nature du sol |
| 24 |
c nsrf-----input-I- indicateur de la nature du sol |
|
| 25 |
c knon-----input-I- nombre de points a traiter |
REAL, intent(in):: paprs(:, :) ! (knon, klev + 1) |
| 26 |
c paprs----input-R- pression a chaque intercouche (en Pa) |
! pression a chaque intercouche (en Pa) |
| 27 |
c pplay----input-R- pression au milieu de chaque couche (en Pa) |
|
| 28 |
c ts-------input-R- temperature du sol (en Kelvin) |
real, intent(in):: pplay(:, :) ! (knon, klev) |
| 29 |
c rugos----input-R- longeur de rugosite (en m) |
! pression au milieu de chaque couche (en Pa) |
| 30 |
c u--------input-R- vitesse u |
|
| 31 |
c v--------input-R- vitesse v |
REAL, intent(in):: ts(:) ! (knon) temperature du sol (en Kelvin) |
| 32 |
c t--------input-R- temperature (K) |
REAL, intent(in):: u(:, :), v(:, :) ! (knon, klev) wind |
| 33 |
c q--------input-R- vapeur d'eau (kg/kg) |
REAL, intent(in):: t(:, :) ! (knon, klev) temperature (K) |
| 34 |
c |
real, intent(in):: q(:, :) ! (knon, klev) vapeur d'eau (kg/kg) |
| 35 |
c itop-----output-I- numero de couche du sommet de la couche limite |
REAL, intent(in):: zgeop(:, :) ! (knon, klev) |
| 36 |
c pcfm-----output-R- coefficients a calculer (vitesse) |
REAL, intent(out):: coefm(:, 2:) ! (knon, 2:klev) coefficient, vitesse |
| 37 |
c pcfh-----output-R- coefficients a calculer (chaleur et humidite) |
|
| 38 |
c====================================================================== |
real, intent(out):: coefh(:, 2:) ! (knon, 2:klev) |
| 39 |
c |
! coefficient, chaleur et humidité |
| 40 |
c Arguments: |
|
| 41 |
c |
! Local: |
| 42 |
INTEGER knon, nsrf |
|
| 43 |
REAL ts(klon) |
INTEGER knon ! nombre de points a traiter |
| 44 |
REAL paprs(klon,klev+1), pplay(klon,klev) |
|
| 45 |
REAL u(klon,klev), v(klon,klev), t(klon,klev), q(klon,klev) |
INTEGER itop(size(ts)) ! (knon) |
| 46 |
REAL rugos(klon) |
! numero de couche du sommet de la couche limite |
| 47 |
c |
|
| 48 |
REAL pcfm(klon,klev), pcfh(klon,klev) |
! Quelques constantes et options: |
| 49 |
INTEGER itop(klon) |
|
| 50 |
c |
REAL, PARAMETER:: cepdu2 =0.1**2 |
| 51 |
c Quelques constantes et options: |
REAL, PARAMETER:: ratqs = 0.05 ! largeur de distribution de vapeur d'eau |
| 52 |
c |
REAL, PARAMETER:: ric = 0.4 ! nombre de Richardson critique |
| 53 |
REAL cepdu2, ckap, cb, cc, cd, clam |
REAL, PARAMETER:: prandtl = 0.4 |
| 54 |
PARAMETER (cepdu2 =(0.1)**2) |
|
| 55 |
PARAMETER (CKAP=0.4) |
REAL kstable ! diffusion minimale (situation stable) |
| 56 |
PARAMETER (cb=5.0) |
REAL, PARAMETER:: mixlen = 35. ! constante contrôlant longueur de mélange |
| 57 |
PARAMETER (cc=5.0) |
INTEGER, PARAMETER:: isommet = klev ! sommet de la couche limite |
| 58 |
PARAMETER (cd=5.0) |
INTEGER i, k |
| 59 |
PARAMETER (clam=160.0) |
REAL zmgeom(size(ts)) |
| 60 |
REAL ratqs ! largeur de distribution de vapeur d'eau |
REAL ri(size(ts)) |
| 61 |
PARAMETER (ratqs=0.05) |
REAL l2(size(ts)) |
| 62 |
LOGICAL richum ! utilise le nombre de Richardson humide |
REAL zdphi, zdu2, ztvd, ztvu, cdn |
| 63 |
PARAMETER (richum=.TRUE.) |
REAL zt, zq, zcvm5, zcor, zqs, zfr, zdqs |
| 64 |
REAL ric ! nombre de Richardson critique |
logical zdelta |
| 65 |
PARAMETER(ric=0.4) |
REAL gamt(2:klev) ! contre-gradient pour la chaleur sensible: Kelvin/metre |
| 66 |
REAL prandtl |
|
| 67 |
PARAMETER (prandtl=0.4) |
!-------------------------------------------------------------------- |
| 68 |
REAL kstable ! diffusion minimale (situation stable) |
|
| 69 |
! GKtest |
knon = size(ts) |
| 70 |
! PARAMETER (kstable=1.0e-10) |
|
| 71 |
REAL ksta, ksta_ter |
! Prescrire la valeur de contre-gradient |
| 72 |
cIM: 261103 REAL kstable_ter, kstable_sinon |
if (iflag_pbl == 1) then |
| 73 |
cIM: 211003 cf GK PARAMETER (kstable_ter = 1.0e-6) |
DO k = 3, klev |
| 74 |
cIM: 261103 PARAMETER (kstable_ter = 1.0e-8) |
gamt(k) = - 1E-3 |
| 75 |
cIM: 261103 PARAMETER (kstable_ter = 1.0e-10) |
ENDDO |
| 76 |
cIM: 261103 PARAMETER (kstable_sinon = 1.0e-10) |
gamt(2) = - 2.5E-3 |
| 77 |
! fin GKtest |
else |
| 78 |
REAL mixlen ! constante controlant longueur de melange |
DO k = 2, klev |
| 79 |
PARAMETER (mixlen=35.0) |
gamt(k) = 0.0 |
| 80 |
INTEGER isommet ! le sommet de la couche limite |
ENDDO |
| 81 |
PARAMETER (isommet=klev) |
ENDIF |
| 82 |
LOGICAL tvirtu ! calculer Ri d'une maniere plus performante |
|
| 83 |
PARAMETER (tvirtu=.TRUE.) |
kstable = merge(ksta, ksta_ter, nsrf == is_oce) |
| 84 |
LOGICAL opt_ec ! formule du Centre Europeen dans l'atmosphere |
|
| 85 |
PARAMETER (opt_ec=.FALSE.) |
! Calculer les coefficients turbulents dans l'atmosphere |
| 86 |
|
|
| 87 |
c |
itop = isommet |
| 88 |
c Variables locales: |
|
| 89 |
c |
DO k = 2, isommet |
| 90 |
INTEGER i, k, kk !IM 120704 |
DO i = 1, knon |
| 91 |
REAL zgeop(klon,klev) |
zdu2 = MAX(cepdu2, (u(i, k) - u(i, k - 1))**2 & |
| 92 |
REAL zmgeom(klon) |
+ (v(i, k) - v(i, k - 1))**2) |
| 93 |
REAL zri(klon) |
zmgeom(i) = zgeop(i, k) - zgeop(i, k - 1) |
| 94 |
REAL zl2(klon) |
zdphi = zmgeom(i) / 2.0 |
| 95 |
|
zt = (t(i, k) + t(i, k - 1)) * 0.5 |
| 96 |
REAL u1(klon), v1(klon), t1(klon), q1(klon), z1(klon) |
zq = (q(i, k) + q(i, k - 1)) * 0.5 |
| 97 |
REAL pcfm1(klon), pcfh1(klon) |
|
| 98 |
c |
! calculer Qs et dQs/dT: |
| 99 |
REAL zdphi, zdu2, ztvd, ztvu, zcdn |
zdelta = RTT >=zt |
| 100 |
REAL zscf |
zcvm5 = merge(R5IES * RLSTT, R5LES * RLVTT, zdelta) / RCPD & |
| 101 |
REAL zt, zq, zdelta, zcvm5, zcor, zqs, zfr, zdqs |
/ (1. + RVTMP2 * zq) |
| 102 |
REAL z2geomf, zalh2, zalm2, zscfh, zscfm |
zqs = R2ES * FOEEW(zt, zdelta) / pplay(i, k) |
| 103 |
REAL t_coup |
zqs = MIN(0.5, zqs) |
| 104 |
PARAMETER (t_coup=273.15) |
zcor = 1./(1. - RETV * zqs) |
| 105 |
cIM |
zqs = zqs * zcor |
| 106 |
LOGICAL check |
zdqs = FOEDE(zt, zdelta, zcvm5, zqs, zcor) |
| 107 |
PARAMETER (check=.false.) |
|
| 108 |
c |
! calculer la fraction nuageuse (processus humide): |
| 109 |
c contre-gradient pour la chaleur sensible: Kelvin/metre |
zfr = (zq + ratqs * zq - zqs) / (2.0 * ratqs * zq) |
| 110 |
REAL gamt(2:klev) |
zfr = MAX(0.0, MIN(1.0, zfr)) |
| 111 |
real qsurf(klon) |
|
| 112 |
c |
! calculer le nombre de Richardson: |
| 113 |
LOGICAL appel1er |
ztvd = (t(i, k) & |
| 114 |
SAVE appel1er |
+ zdphi/RCPD/(1. + RVTMP2 * zq) & |
| 115 |
c |
* ((1. - zfr) + zfr * (1. + RLVTT * zqs/RD/zt)/(1. + zdqs)) & |
| 116 |
c Fonctions thermodynamiques et fonctions d'instabilite |
) * (1. + RETV * q(i, k)) |
| 117 |
REAL fsta, fins, x |
ztvu = (t(i, k - 1) & |
| 118 |
LOGICAL zxli ! utiliser un jeu de fonctions simples |
- zdphi/RCPD/(1. + RVTMP2 * zq) & |
| 119 |
PARAMETER (zxli=.FALSE.) |
* ((1. - zfr) + zfr * (1. + RLVTT * zqs/RD/zt)/(1. + zdqs)) & |
| 120 |
c |
) * (1. + RETV * q(i, k - 1)) |
| 121 |
fsta(x) = 1.0 / (1.0+10.0*x*(1+8.0*x)) |
ri(i) = zmgeom(i) * (ztvd - ztvu)/(zdu2 * 0.5 * (ztvd + ztvu)) |
| 122 |
fins(x) = SQRT(1.0-18.0*x) |
ri(i) = ri(i) & |
| 123 |
c |
+ zmgeom(i) * zmgeom(i)/RG * gamt(k) & |
| 124 |
DATA appel1er /.TRUE./ |
* (paprs(i, k)/101325.0)**RKAPPA & |
| 125 |
c |
/(zdu2 * 0.5 * (ztvd + ztvu)) |
| 126 |
IF (appel1er) THEN |
|
| 127 |
if (prt_level > 9) THEN |
! finalement, les coefficients d'echange sont obtenus: |
| 128 |
print *,'coefkz, opt_ec:', opt_ec |
|
| 129 |
print *,'coefkz, richum:', richum |
cdn = SQRT(zdu2) / zmgeom(i) * RG |
| 130 |
IF (richum) print *,'coefkz, ratqs:', ratqs |
|
| 131 |
print *,'coefkz, isommet:', isommet |
l2(i) = (mixlen * MAX(0.0, (paprs(i, k) - paprs(i, itop(i) + 1)) & |
| 132 |
print *,'coefkz, tvirtu:', tvirtu |
/(paprs(i, 2) - paprs(i, itop(i) + 1))))**2 |
| 133 |
appel1er = .FALSE. |
coefm(i, k) = sqrt(max(cdn**2 * (ric - ri(i)) / ric, kstable)) |
| 134 |
endif |
coefm(i, k) = l2(i) * coefm(i, k) |
| 135 |
ENDIF |
coefh(i, k) = coefm(i, k) / prandtl ! h et m different |
| 136 |
c |
ENDDO |
| 137 |
c Initialiser les sorties |
ENDDO |
| 138 |
c |
|
| 139 |
DO k = 1, klev |
! Au-delà du sommet, pas de diffusion turbulente : |
| 140 |
DO i = 1, knon |
forall (i = 1: knon) |
| 141 |
pcfm(i,k) = 0.0 |
coefh(i, itop(i) + 1:) = 0. |
| 142 |
pcfh(i,k) = 0.0 |
coefm(i, itop(i) + 1:) = 0. |
| 143 |
ENDDO |
END forall |
| 144 |
ENDDO |
|
| 145 |
DO i = 1, knon |
END SUBROUTINE coefkz |
| 146 |
itop(i) = 0 |
|
| 147 |
ENDDO |
end module coefkz_m |
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c |
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c Prescrire la valeur de contre-gradient |
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c |
|
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if (iflag_pbl.eq.1) then |
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DO k = 3, klev |
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gamt(k) = -1.0E-03 |
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ENDDO |
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gamt(2) = -2.5E-03 |
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else |
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DO k = 2, klev |
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gamt(k) = 0.0 |
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ENDDO |
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ENDIF |
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cIM cf JLD/ GKtest |
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IF ( nsrf .NE. is_oce ) THEN |
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cIM 261103 kstable = kstable_ter |
|
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kstable = ksta_ter |
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ELSE |
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cIM 261103 kstable = kstable_sinon |
|
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kstable = ksta |
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ENDIF |
|
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cIM cf JLD/ GKtest fin |
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c |
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c Calculer les geopotentiels de chaque couche |
|
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c |
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DO i = 1, knon |
|
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zgeop(i,1) = RD * t(i,1) / (0.5*(paprs(i,1)+pplay(i,1))) |
|
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. * (paprs(i,1)-pplay(i,1)) |
|
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ENDDO |
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DO k = 2, klev |
|
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DO i = 1, knon |
|
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zgeop(i,k) = zgeop(i,k-1) |
|
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. + RD * 0.5*(t(i,k-1)+t(i,k)) / paprs(i,k) |
|
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. * (pplay(i,k-1)-pplay(i,k)) |
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ENDDO |
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ENDDO |
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c |
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c Calculer le frottement au sol (Cdrag) |
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c |
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DO i = 1, knon |
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u1(i) = u(i,1) |
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v1(i) = v(i,1) |
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t1(i) = t(i,1) |
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q1(i) = q(i,1) |
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z1(i) = zgeop(i,1) |
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ENDDO |
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c |
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CALL clcdrag(klon, knon, nsrf, zxli, |
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$ u1, v1, t1, q1, z1, |
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$ ts, qsurf, rugos, |
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$ pcfm1, pcfh1) |
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cIM $ ts, qsurf, rugos, |
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C |
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DO i = 1, knon |
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pcfm(i,1)=pcfm1(i) |
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pcfh(i,1)=pcfh1(i) |
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ENDDO |
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c |
|
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c Calculer les coefficients turbulents dans l'atmosphere |
|
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c |
|
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DO i = 1, knon |
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itop(i) = isommet |
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ENDDO |
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DO k = 2, isommet |
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DO i = 1, knon |
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zdu2=MAX(cepdu2,(u(i,k)-u(i,k-1))**2 |
|
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. +(v(i,k)-v(i,k-1))**2) |
|
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zmgeom(i)=zgeop(i,k)-zgeop(i,k-1) |
|
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zdphi =zmgeom(i) / 2.0 |
|
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zt = (t(i,k)+t(i,k-1)) * 0.5 |
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zq = (q(i,k)+q(i,k-1)) * 0.5 |
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c |
|
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c calculer Qs et dQs/dT: |
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c |
|
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IF (thermcep) THEN |
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zdelta = MAX(0.,SIGN(1.,RTT-zt)) |
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zcvm5 = R5LES*RLVTT/RCPD/(1.0+RVTMP2*zq)*(1.-zdelta) |
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. + R5IES*RLSTT/RCPD/(1.0+RVTMP2*zq)*zdelta |
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zqs = R2ES * FOEEW(zt,zdelta) / pplay(i,k) |
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zqs = MIN(0.5,zqs) |
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zcor = 1./(1.-RETV*zqs) |
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zqs = zqs*zcor |
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zdqs = FOEDE(zt,zdelta,zcvm5,zqs,zcor) |
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ELSE |
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IF (zt .LT. t_coup) THEN |
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zqs = qsats(zt) / pplay(i,k) |
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zdqs = dqsats(zt,zqs) |
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ELSE |
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zqs = qsatl(zt) / pplay(i,k) |
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zdqs = dqsatl(zt,zqs) |
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ENDIF |
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ENDIF |
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c |
|
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c calculer la fraction nuageuse (processus humide): |
|
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c |
|
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zfr = (zq+ratqs*zq-zqs) / (2.0*ratqs*zq) |
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zfr = MAX(0.0,MIN(1.0,zfr)) |
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IF (.NOT.richum) zfr = 0.0 |
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c |
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c calculer le nombre de Richardson: |
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c |
|
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IF (tvirtu) THEN |
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ztvd =( t(i,k) |
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. + zdphi/RCPD/(1.+RVTMP2*zq) |
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. *( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) |
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. )*(1.+RETV*q(i,k)) |
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ztvu =( t(i,k-1) |
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. - zdphi/RCPD/(1.+RVTMP2*zq) |
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. *( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) |
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. )*(1.+RETV*q(i,k-1)) |
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zri(i) =zmgeom(i)*(ztvd-ztvu)/(zdu2*0.5*(ztvd+ztvu)) |
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zri(i) = zri(i) |
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. + zmgeom(i)*zmgeom(i)/RG*gamt(k) |
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. *(paprs(i,k)/101325.0)**RKAPPA |
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. /(zdu2*0.5*(ztvd+ztvu)) |
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c |
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ELSE ! calcul de Ridchardson compatible LMD5 |
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c |
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zri(i) =(RCPD*(t(i,k)-t(i,k-1)) |
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. -RD*0.5*(t(i,k)+t(i,k-1))/paprs(i,k) |
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. *(pplay(i,k)-pplay(i,k-1)) |
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. )*zmgeom(i)/(zdu2*0.5*RCPD*(t(i,k-1)+t(i,k))) |
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zri(i) = zri(i) + |
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. zmgeom(i)*zmgeom(i)*gamt(k)/RG |
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cSB . /(paprs(i,k)/101325.0)**RKAPPA |
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. *(paprs(i,k)/101325.0)**RKAPPA |
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. /(zdu2*0.5*(t(i,k-1)+t(i,k))) |
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ENDIF |
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c |
|
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c finalement, les coefficients d'echange sont obtenus: |
|
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c |
|
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zcdn=SQRT(zdu2) / zmgeom(i) * RG |
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c |
|
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IF (opt_ec) THEN |
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z2geomf=zgeop(i,k-1)+zgeop(i,k) |
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zalm2=(0.5*ckap/RG*z2geomf |
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. /(1.+0.5*ckap/rg/clam*z2geomf))**2 |
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zalh2=(0.5*ckap/rg*z2geomf |
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. /(1.+0.5*ckap/RG/(clam*SQRT(1.5*cd))*z2geomf))**2 |
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IF (zri(i).LT.0.0) THEN ! situation instable |
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zscf = ((zgeop(i,k)/zgeop(i,k-1))**(1./3.)-1.)**3 |
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. / (zmgeom(i)/RG)**3 / (zgeop(i,k-1)/RG) |
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zscf = SQRT(-zri(i)*zscf) |
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zscfm = 1.0 / (1.0+3.0*cb*cc*zalm2*zscf) |
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zscfh = 1.0 / (1.0+3.0*cb*cc*zalh2*zscf) |
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pcfm(i,k)=zcdn*zalm2*(1.-2.0*cb*zri(i)*zscfm) |
|
|
pcfh(i,k)=zcdn*zalh2*(1.-3.0*cb*zri(i)*zscfh) |
|
|
ELSE ! situation stable |
|
|
zscf=SQRT(1.+cd*zri(i)) |
|
|
pcfm(i,k)=zcdn*zalm2/(1.+2.0*cb*zri(i)/zscf) |
|
|
pcfh(i,k)=zcdn*zalh2/(1.+3.0*cb*zri(i)*zscf) |
|
|
ENDIF |
|
|
ELSE |
|
|
zl2(i)=(mixlen*MAX(0.0,(paprs(i,k)-paprs(i,itop(i)+1)) |
|
|
. /(paprs(i,2)-paprs(i,itop(i)+1)) ))**2 |
|
|
pcfm(i,k)=sqrt(max(zcdn*zcdn*(ric-zri(i))/ric, kstable)) |
|
|
pcfm(i,k)= zl2(i)* pcfm(i,k) |
|
|
pcfh(i,k) = pcfm(i,k) /prandtl ! h et m different |
|
|
ENDIF |
|
|
ENDDO |
|
|
ENDDO |
|
|
c |
|
|
c Au-dela du sommet, pas de diffusion turbulente: |
|
|
c |
|
|
DO i = 1, knon |
|
|
IF (itop(i)+1 .LE. klev) THEN |
|
|
DO k = itop(i)+1, klev |
|
|
pcfh(i,k) = 0.0 |
|
|
pcfm(i,k) = 0.0 |
|
|
ENDDO |
|
|
ENDIF |
|
|
ENDDO |
|
|
c |
|
|
RETURN |
|
|
END |
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