| 1 |
SUBROUTINE coefkz(nsrf, knon, paprs, pplay, ksta, ksta_ter, ts, rugos, u, v, & |
module coefkz_m |
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t, q, qsurf, pcfm, pcfh) |
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! Auteur(s) F. Hourdin, M. Forichon, Z.X. Li (LMD/CNRS) date: 1993/09/22 |
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! (une version strictement identique a l'ancien modele) |
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! Objet: calculer le coefficient du frottement du sol (Cdrag) et les |
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! coefficients d'echange turbulent dans l'atmosphere. |
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USE indicesol, ONLY : is_oce |
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USE dimphy, ONLY : klev, klon, max |
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USE iniprint, ONLY : prt_level |
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USE suphec_m, ONLY : rcpd, rd, retv, rg, rkappa, rlstt, rlvtt, rtt |
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USE yoethf_m, ONLY : r2es, r5ies, r5les, rvtmp2 |
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USE fcttre, ONLY : dqsatl, dqsats, foede, foeew, qsatl, qsats, thermcep |
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USE conf_phys_m, ONLY : iflag_pbl |
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| 3 |
IMPLICIT none |
IMPLICIT none |
| 4 |
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| 5 |
! Arguments: |
contains |
| 6 |
! nsrf-----input-I- indicateur de la nature du sol |
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| 7 |
! knon-----input-I- nombre de points a traiter |
SUBROUTINE coefkz(nsrf, knon, paprs, pplay, ksta, ksta_ter, ts, rugos, u, v, & |
| 8 |
! paprs----input-R- pression a chaque intercouche (en Pa) |
t, q, qsurf, coefm, coefh) |
| 9 |
! pplay----input-R- pression au milieu de chaque couche (en Pa) |
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| 10 |
! ts-------input-R- temperature du sol (en Kelvin) |
! Authors: F. Hourdin, M. Forichon, Z. X. Li (LMD/CNRS) |
| 11 |
! rugos----input-R- longeur de rugosite (en m) |
! date: 1993/09/22 |
| 12 |
! u--------input-R- vitesse u |
! Objet : calculer le coefficient de frottement du sol ("Cdrag") et les |
| 13 |
! v--------input-R- vitesse v |
! coefficients d'échange turbulent dans l'atmosphère. |
| 14 |
! q--------input-R- vapeur d'eau (kg/kg) |
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| 15 |
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USE indicesol, ONLY: is_oce |
| 16 |
! itop-----output-I- numero de couche du sommet de la couche limite |
USE dimphy, ONLY: klev, klon |
| 17 |
! pcfm-----output-R- coefficients a calculer (vitesse) |
USE suphec_m, ONLY: rcpd, rd, retv, rg, rkappa, rlstt, rlvtt, rtt |
| 18 |
! pcfh-----output-R- coefficients a calculer (chaleur et humidite) |
USE yoethf_m, ONLY: r2es, r5ies, r5les, rvtmp2 |
| 19 |
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USE fcttre, ONLY: dqsatl, dqsats, foede, foeew, qsatl, qsats, thermcep |
| 20 |
INTEGER knon, nsrf |
USE conf_phys_m, ONLY: iflag_pbl |
| 21 |
REAL ts(klon) |
use clcdrag_m, only: clcdrag |
| 22 |
REAL paprs(klon, klev+1), pplay(klon, klev) |
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| 23 |
REAL u(klon, klev), v(klon, klev), q(klon, klev) |
! Arguments: |
| 24 |
REAL, intent(in):: t(klon, klev) ! temperature (K) |
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| 25 |
REAL rugos(klon) |
integer, intent(in):: nsrf ! indicateur de la nature du sol |
| 26 |
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INTEGER, intent(in):: knon ! nombre de points a traiter |
| 27 |
REAL pcfm(klon, klev), pcfh(klon, klev) |
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| 28 |
INTEGER itop(klon) |
REAL, intent(in):: paprs(klon, klev+1) |
| 29 |
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! pression a chaque intercouche (en Pa) |
| 30 |
! Quelques constantes et options: |
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| 31 |
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real, intent(in):: pplay(klon, klev) |
| 32 |
REAL cepdu2, ckap, cb, cc, cd, clam |
! pression au milieu de chaque couche (en Pa) |
| 33 |
PARAMETER (cepdu2 =(0.1)**2) |
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| 34 |
PARAMETER (CKAP=0.4) |
REAL, intent(in):: ksta, ksta_ter |
| 35 |
PARAMETER (cb=5.0) |
REAL, intent(in):: ts(klon) ! temperature du sol (en Kelvin) |
| 36 |
PARAMETER (cc=5.0) |
REAL, intent(in):: rugos(klon) ! longeur de rugosite (en m) |
| 37 |
PARAMETER (cd=5.0) |
REAL, intent(in):: u(klon, klev), v(klon, klev) ! wind |
| 38 |
PARAMETER (clam=160.0) |
REAL, intent(in):: t(klon, klev) ! temperature (K) |
| 39 |
REAL ratqs ! largeur de distribution de vapeur d'eau |
real, intent(in):: q(klon, klev) ! vapeur d'eau (kg/kg) |
| 40 |
PARAMETER (ratqs=0.05) |
real, intent(in):: qsurf(klon) |
| 41 |
LOGICAL richum ! utilise le nombre de Richardson humide |
REAL, intent(out):: coefm(:, :) ! (knon, klev) coefficient, vitesse |
| 42 |
PARAMETER (richum=.TRUE.) |
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| 43 |
REAL ric ! nombre de Richardson critique |
real, intent(out):: coefh(:, :) ! (knon, klev) |
| 44 |
PARAMETER(ric=0.4) |
! coefficient, chaleur et humidité |
| 45 |
REAL prandtl |
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| 46 |
PARAMETER (prandtl=0.4) |
! Local: |
| 47 |
REAL kstable ! diffusion minimale (situation stable) |
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| 48 |
! GKtest |
INTEGER itop(knon) ! numero de couche du sommet de la couche limite |
| 49 |
! PARAMETER (kstable=1.0e-10) |
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| 50 |
REAL ksta, ksta_ter |
! Quelques constantes et options: |
| 51 |
!IM: 261103 REAL kstable_ter, kstable_sinon |
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!IM: 211003 cf GK PARAMETER (kstable_ter = 1.0e-6) |
REAL, PARAMETER:: cepdu2 =0.1**2 |
| 53 |
!IM: 261103 PARAMETER (kstable_ter = 1.0e-8) |
REAL, PARAMETER:: CKAP = 0.4 |
| 54 |
!IM: 261103 PARAMETER (kstable_ter = 1.0e-10) |
REAL, PARAMETER:: cb = 5. |
| 55 |
!IM: 261103 PARAMETER (kstable_sinon = 1.0e-10) |
REAL, PARAMETER:: cc = 5. |
| 56 |
! fin GKtest |
REAL, PARAMETER:: cd = 5. |
| 57 |
REAL mixlen ! constante controlant longueur de melange |
REAL, PARAMETER:: clam = 160. |
| 58 |
PARAMETER (mixlen=35.0) |
REAL, PARAMETER:: ratqs = 0.05 ! largeur de distribution de vapeur d'eau |
| 59 |
INTEGER isommet ! le sommet de la couche limite |
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| 60 |
PARAMETER (isommet=klev) |
LOGICAL, PARAMETER:: richum = .TRUE. |
| 61 |
LOGICAL tvirtu ! calculer Ri d'une maniere plus performante |
! utilise le nombre de Richardson humide |
| 62 |
PARAMETER (tvirtu=.TRUE.) |
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| 63 |
LOGICAL opt_ec ! formule du Centre Europeen dans l'atmosphere |
REAL, PARAMETER:: ric = 0.4 ! nombre de Richardson critique |
| 64 |
PARAMETER (opt_ec=.FALSE.) |
REAL, PARAMETER:: prandtl = 0.4 |
| 65 |
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| 66 |
! Variables locales: |
REAL kstable ! diffusion minimale (situation stable) |
| 67 |
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REAL, PARAMETER:: mixlen = 35. ! constante contrôlant longueur de mélange |
| 68 |
INTEGER i, k, kk !IM 120704 |
INTEGER, PARAMETER:: isommet = klev ! sommet de la couche limite |
| 69 |
REAL zgeop(klon, klev) |
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| 70 |
REAL zmgeom(klon) |
LOGICAL, PARAMETER:: tvirtu = .TRUE. |
| 71 |
REAL zri(klon) |
! calculer Ri d'une maniere plus performante |
| 72 |
REAL zl2(klon) |
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| 73 |
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LOGICAL, PARAMETER:: opt_ec = .FALSE. |
| 74 |
REAL u1(klon), v1(klon), t1(klon), q1(klon), z1(klon) |
! formule du Centre Europeen dans l'atmosphere |
| 75 |
REAL pcfm1(klon), pcfh1(klon) |
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| 76 |
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INTEGER i, k |
| 77 |
REAL zdphi, zdu2, ztvd, ztvu, zcdn |
REAL zgeop(klon, klev) |
| 78 |
REAL zscf |
REAL zmgeom(klon) |
| 79 |
REAL zt, zq, zdelta, zcvm5, zcor, zqs, zfr, zdqs |
REAL ri(klon) |
| 80 |
REAL z2geomf, zalh2, zalm2, zscfh, zscfm |
REAL l2(klon) |
| 81 |
REAL t_coup |
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| 82 |
PARAMETER (t_coup=273.15) |
REAL u1(klon), v1(klon), t1(klon), q1(klon), z1(klon) |
| 83 |
!IM |
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| 84 |
LOGICAL check |
REAL zdphi, zdu2, ztvd, ztvu, cdn |
| 85 |
PARAMETER (check=.false.) |
REAL scf |
| 86 |
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REAL zt, zq, zcvm5, zcor, zqs, zfr, zdqs |
| 87 |
! contre-gradient pour la chaleur sensible: Kelvin/metre |
logical zdelta |
| 88 |
REAL gamt(2:klev) |
REAL z2geomf, zalh2, alm2, zscfh, scfm |
| 89 |
real qsurf(klon) |
REAL, PARAMETER:: t_coup = 273.15 |
| 90 |
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REAL gamt(2:klev) ! contre-gradient pour la chaleur sensible: Kelvin/metre |
| 91 |
LOGICAL appel1er |
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| 92 |
SAVE appel1er |
!-------------------------------------------------------------------- |
| 93 |
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| 94 |
! Fonctions thermodynamiques et fonctions d'instabilite |
! Prescrire la valeur de contre-gradient |
| 95 |
REAL fsta, fins, x |
if (iflag_pbl.eq.1) then |
| 96 |
LOGICAL zxli ! utiliser un jeu de fonctions simples |
DO k = 3, klev |
| 97 |
PARAMETER (zxli=.FALSE.) |
gamt(k) = -1.0E-03 |
| 98 |
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ENDDO |
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fsta(x) = 1.0 / (1.0+10.0*x*(1+8.0*x)) |
gamt(2) = -2.5E-03 |
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fins(x) = SQRT(1.0-18.0*x) |
else |
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DO k = 2, klev |
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DATA appel1er /.TRUE./ |
gamt(k) = 0.0 |
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ENDDO |
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!-------------------------------------------------------------------- |
ENDIF |
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IF (appel1er) THEN |
IF ( nsrf .NE. is_oce ) THEN |
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if (prt_level > 9) THEN |
kstable = ksta_ter |
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print *, 'coefkz, opt_ec:', opt_ec |
ELSE |
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print *, 'coefkz, richum:', richum |
kstable = ksta |
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IF (richum) print *, 'coefkz, ratqs:', ratqs |
ENDIF |
| 111 |
print *, 'coefkz, isommet:', isommet |
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| 112 |
print *, 'coefkz, tvirtu:', tvirtu |
! Calculer les géopotentiels de chaque couche |
| 113 |
appel1er = .FALSE. |
DO i = 1, knon |
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endif |
zgeop(i, 1) = RD * t(i, 1) / (0.5 * (paprs(i, 1) + pplay(i, 1))) & |
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ENDIF |
* (paprs(i, 1) - pplay(i, 1)) |
| 116 |
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ENDDO |
| 117 |
! Initialiser les sorties |
DO k = 2, klev |
| 118 |
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DO i = 1, knon |
| 119 |
DO k = 1, klev |
zgeop(i, k) = zgeop(i, k-1) & |
| 120 |
DO i = 1, knon |
+ RD * 0.5*(t(i, k-1)+t(i, k)) / paprs(i, k) & |
| 121 |
pcfm(i, k) = 0.0 |
* (pplay(i, k-1)-pplay(i, k)) |
| 122 |
pcfh(i, k) = 0.0 |
ENDDO |
| 123 |
ENDDO |
ENDDO |
| 124 |
ENDDO |
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DO i = 1, knon |
! Calculer le frottement au sol (Cdrag) |
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itop(i) = 0 |
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| 127 |
ENDDO |
DO i = 1, knon |
| 128 |
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u1(i) = u(i, 1) |
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! Prescrire la valeur de contre-gradient |
v1(i) = v(i, 1) |
| 130 |
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t1(i) = t(i, 1) |
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if (iflag_pbl.eq.1) then |
q1(i) = q(i, 1) |
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DO k = 3, klev |
z1(i) = zgeop(i, 1) |
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gamt(k) = -1.0E-03 |
ENDDO |
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ENDDO |
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| 135 |
gamt(2) = -2.5E-03 |
CALL clcdrag(klon, knon, nsrf, .false., u1, v1, t1, q1, z1, ts, qsurf, & |
| 136 |
else |
rugos, coefm(:, 1), coefh(:, 1)) |
| 137 |
DO k = 2, klev |
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| 138 |
gamt(k) = 0.0 |
! Calculer les coefficients turbulents dans l'atmosphere |
| 139 |
ENDDO |
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ENDIF |
itop = isommet |
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IF ( nsrf .NE. is_oce ) THEN |
loop_vertical: DO k = 2, isommet |
| 143 |
kstable = ksta_ter |
loop_horiz: DO i = 1, knon |
| 144 |
ELSE |
zdu2 = MAX(cepdu2, (u(i, k)-u(i, k-1))**2 & |
| 145 |
kstable = ksta |
+(v(i, k)-v(i, k-1))**2) |
| 146 |
ENDIF |
zmgeom(i) = zgeop(i, k)-zgeop(i, k-1) |
| 147 |
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zdphi =zmgeom(i) / 2.0 |
| 148 |
! Calculer les géopotentiels de chaque couche |
zt = (t(i, k)+t(i, k-1)) * 0.5 |
| 149 |
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zq = (q(i, k)+q(i, k-1)) * 0.5 |
| 150 |
DO i = 1, knon |
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| 151 |
zgeop(i, 1) = RD * t(i, 1) / (0.5 * (paprs(i, 1) + pplay(i, 1))) & |
! calculer Qs et dQs/dT: |
| 152 |
* (paprs(i, 1) - pplay(i, 1)) |
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| 153 |
ENDDO |
IF (thermcep) THEN |
| 154 |
DO k = 2, klev |
zdelta = RTT >=zt |
| 155 |
DO i = 1, knon |
zcvm5 = merge(R5IES * RLSTT, R5LES * RLVTT, zdelta) / RCPD & |
| 156 |
zgeop(i, k) = zgeop(i, k-1) & |
/ (1. + RVTMP2*zq) |
| 157 |
+ RD * 0.5*(t(i, k-1)+t(i, k)) / paprs(i, k) & |
zqs = R2ES * FOEEW(zt, zdelta) / pplay(i, k) |
| 158 |
* (pplay(i, k-1)-pplay(i, k)) |
zqs = MIN(0.5, zqs) |
| 159 |
ENDDO |
zcor = 1./(1.-RETV*zqs) |
| 160 |
ENDDO |
zqs = zqs*zcor |
| 161 |
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zdqs = FOEDE(zt, zdelta, zcvm5, zqs, zcor) |
| 162 |
! Calculer le frottement au sol (Cdrag) |
ELSE |
| 163 |
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IF (zt < t_coup) THEN |
| 164 |
DO i = 1, knon |
zqs = qsats(zt) / pplay(i, k) |
| 165 |
u1(i) = u(i, 1) |
zdqs = dqsats(zt, zqs) |
| 166 |
v1(i) = v(i, 1) |
ELSE |
| 167 |
t1(i) = t(i, 1) |
zqs = qsatl(zt) / pplay(i, k) |
| 168 |
q1(i) = q(i, 1) |
zdqs = dqsatl(zt, zqs) |
| 169 |
z1(i) = zgeop(i, 1) |
ENDIF |
| 170 |
ENDDO |
ENDIF |
| 171 |
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| 172 |
CALL clcdrag(klon, knon, nsrf, zxli, & |
! calculer la fraction nuageuse (processus humide): |
| 173 |
u1, v1, t1, q1, z1, & |
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| 174 |
ts, qsurf, rugos, & |
zfr = (zq+ratqs*zq-zqs) / (2.0*ratqs*zq) |
| 175 |
pcfm1, pcfh1) |
zfr = MAX(0.0, MIN(1.0, zfr)) |
| 176 |
!IM $ ts, qsurf, rugos, |
IF (.NOT.richum) zfr = 0.0 |
| 177 |
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| 178 |
DO i = 1, knon |
! calculer le nombre de Richardson: |
| 179 |
pcfm(i, 1)=pcfm1(i) |
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| 180 |
pcfh(i, 1)=pcfh1(i) |
IF (tvirtu) THEN |
| 181 |
ENDDO |
ztvd =( t(i, k) & |
| 182 |
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+ zdphi/RCPD/(1.+RVTMP2*zq) & |
| 183 |
! Calculer les coefficients turbulents dans l'atmosphere |
*( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) & |
| 184 |
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)*(1.+RETV*q(i, k)) |
| 185 |
DO i = 1, knon |
ztvu =( t(i, k-1) & |
| 186 |
itop(i) = isommet |
- zdphi/RCPD/(1.+RVTMP2*zq) & |
| 187 |
ENDDO |
*( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) & |
| 188 |
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)*(1.+RETV*q(i, k-1)) |
| 189 |
DO k = 2, isommet |
ri(i) =zmgeom(i)*(ztvd-ztvu)/(zdu2*0.5*(ztvd+ztvu)) |
| 190 |
DO i = 1, knon |
ri(i) = ri(i) & |
| 191 |
zdu2=MAX(cepdu2, (u(i, k)-u(i, k-1))**2 & |
+ zmgeom(i)*zmgeom(i)/RG*gamt(k) & |
| 192 |
+(v(i, k)-v(i, k-1))**2) |
*(paprs(i, k)/101325.0)**RKAPPA & |
| 193 |
zmgeom(i)=zgeop(i, k)-zgeop(i, k-1) |
/(zdu2*0.5*(ztvd+ztvu)) |
| 194 |
zdphi =zmgeom(i) / 2.0 |
ELSE |
| 195 |
zt = (t(i, k)+t(i, k-1)) * 0.5 |
! calcul de Ridchardson compatible LMD5 |
| 196 |
zq = (q(i, k)+q(i, k-1)) * 0.5 |
ri(i) =(RCPD*(t(i, k)-t(i, k-1)) & |
| 197 |
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-RD*0.5*(t(i, k)+t(i, k-1))/paprs(i, k) & |
| 198 |
! calculer Qs et dQs/dT: |
*(pplay(i, k)-pplay(i, k-1)) & |
| 199 |
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)*zmgeom(i)/(zdu2*0.5*RCPD*(t(i, k-1)+t(i, k))) |
| 200 |
IF (thermcep) THEN |
ri(i) = ri(i) + & |
| 201 |
zdelta = MAX(0., SIGN(1., RTT-zt)) |
zmgeom(i)*zmgeom(i)*gamt(k)/RG & |
| 202 |
zcvm5 = R5LES*RLVTT/RCPD/(1.0+RVTMP2*zq)*(1.-zdelta) & |
*(paprs(i, k)/101325.0)**RKAPPA & |
| 203 |
+ R5IES*RLSTT/RCPD/(1.0+RVTMP2*zq)*zdelta |
/(zdu2*0.5*(t(i, k-1)+t(i, k))) |
| 204 |
zqs = R2ES * FOEEW(zt, zdelta) / pplay(i, k) |
ENDIF |
| 205 |
zqs = MIN(0.5, zqs) |
|
| 206 |
zcor = 1./(1.-RETV*zqs) |
! finalement, les coefficients d'echange sont obtenus: |
| 207 |
zqs = zqs*zcor |
|
| 208 |
zdqs = FOEDE(zt, zdelta, zcvm5, zqs, zcor) |
cdn = SQRT(zdu2) / zmgeom(i) * RG |
| 209 |
ELSE |
|
| 210 |
IF (zt .LT. t_coup) THEN |
IF (opt_ec) THEN |
| 211 |
zqs = qsats(zt) / pplay(i, k) |
z2geomf = zgeop(i, k-1)+zgeop(i, k) |
| 212 |
zdqs = dqsats(zt, zqs) |
alm2 = (0.5*ckap/RG*z2geomf & |
| 213 |
ELSE |
/(1.+0.5*ckap/rg/clam*z2geomf))**2 |
| 214 |
zqs = qsatl(zt) / pplay(i, k) |
zalh2 = (0.5*ckap/rg*z2geomf & |
| 215 |
zdqs = dqsatl(zt, zqs) |
/(1.+0.5*ckap/RG/(clam*SQRT(1.5*cd))*z2geomf))**2 |
| 216 |
ENDIF |
IF (ri(i) < 0.) THEN |
| 217 |
ENDIF |
! situation instable |
| 218 |
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scf = ((zgeop(i, k)/zgeop(i, k-1))**(1./3.)-1.)**3 & |
| 219 |
! calculer la fraction nuageuse (processus humide): |
/ (zmgeom(i)/RG)**3 / (zgeop(i, k-1)/RG) |
| 220 |
|
scf = SQRT(-ri(i)*scf) |
| 221 |
zfr = (zq+ratqs*zq-zqs) / (2.0*ratqs*zq) |
scfm = 1.0 / (1.0+3.0*cb*cc*alm2*scf) |
| 222 |
zfr = MAX(0.0, MIN(1.0, zfr)) |
zscfh = 1.0 / (1.0+3.0*cb*cc*zalh2*scf) |
| 223 |
IF (.NOT.richum) zfr = 0.0 |
coefm(i, k) = cdn * alm2 * (1. - 2. * cb * ri(i) * scfm) |
| 224 |
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coefh(i, k) = cdn*zalh2*(1.-3.0*cb*ri(i)*zscfh) |
| 225 |
! calculer le nombre de Richardson: |
ELSE |
| 226 |
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! situation stable |
| 227 |
IF (tvirtu) THEN |
scf = SQRT(1.+cd*ri(i)) |
| 228 |
ztvd =( t(i, k) & |
coefm(i, k) = cdn * alm2 / (1. + 2. * cb * ri(i) / scf) |
| 229 |
+ zdphi/RCPD/(1.+RVTMP2*zq) & |
coefh(i, k) = cdn*zalh2/(1.+3.0*cb*ri(i)*scf) |
| 230 |
*( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) & |
ENDIF |
| 231 |
)*(1.+RETV*q(i, k)) |
ELSE |
| 232 |
ztvu =( t(i, k-1) & |
l2(i) = (mixlen*MAX(0.0, (paprs(i, k)-paprs(i, itop(i)+1)) & |
| 233 |
- zdphi/RCPD/(1.+RVTMP2*zq) & |
/(paprs(i, 2)-paprs(i, itop(i)+1)) ))**2 |
| 234 |
*( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) & |
coefm(i, k) = sqrt(max(cdn**2 * (ric - ri(i)) / ric, kstable)) |
| 235 |
)*(1.+RETV*q(i, k-1)) |
coefm(i, k)= l2(i) * coefm(i, k) |
| 236 |
zri(i) =zmgeom(i)*(ztvd-ztvu)/(zdu2*0.5*(ztvd+ztvu)) |
coefh(i, k) = coefm(i, k) / prandtl ! h et m different |
| 237 |
zri(i) = zri(i) & |
ENDIF |
| 238 |
+ zmgeom(i)*zmgeom(i)/RG*gamt(k) & |
ENDDO loop_horiz |
| 239 |
*(paprs(i, k)/101325.0)**RKAPPA & |
ENDDO loop_vertical |
| 240 |
/(zdu2*0.5*(ztvd+ztvu)) |
|
| 241 |
|
! Au-delà du sommet, pas de diffusion turbulente : |
| 242 |
ELSE ! calcul de Ridchardson compatible LMD5 |
forall (i = 1: knon) |
| 243 |
|
coefh(i, itop(i) + 1:) = 0. |
| 244 |
zri(i) =(RCPD*(t(i, k)-t(i, k-1)) & |
coefm(i, itop(i) + 1:) = 0. |
| 245 |
-RD*0.5*(t(i, k)+t(i, k-1))/paprs(i, k) & |
END forall |
| 246 |
*(pplay(i, k)-pplay(i, k-1)) & |
|
| 247 |
)*zmgeom(i)/(zdu2*0.5*RCPD*(t(i, k-1)+t(i, k))) |
END SUBROUTINE coefkz |
|
zri(i) = zri(i) + & |
|
|
zmgeom(i)*zmgeom(i)*gamt(k)/RG & |
|
|
*(paprs(i, k)/101325.0)**RKAPPA & |
|
|
/(zdu2*0.5*(t(i, k-1)+t(i, k))) |
|
|
ENDIF |
|
|
|
|
|
! finalement, les coefficients d'echange sont obtenus: |
|
|
|
|
|
zcdn=SQRT(zdu2) / zmgeom(i) * RG |
|
|
|
|
|
IF (opt_ec) THEN |
|
|
z2geomf=zgeop(i, k-1)+zgeop(i, k) |
|
|
zalm2=(0.5*ckap/RG*z2geomf & |
|
|
/(1.+0.5*ckap/rg/clam*z2geomf))**2 |
|
|
zalh2=(0.5*ckap/rg*z2geomf & |
|
|
/(1.+0.5*ckap/RG/(clam*SQRT(1.5*cd))*z2geomf))**2 |
|
|
IF (zri(i).LT.0.0) THEN ! situation instable |
|
|
zscf = ((zgeop(i, k)/zgeop(i, k-1))**(1./3.)-1.)**3 & |
|
|
/ (zmgeom(i)/RG)**3 / (zgeop(i, k-1)/RG) |
|
|
zscf = SQRT(-zri(i)*zscf) |
|
|
zscfm = 1.0 / (1.0+3.0*cb*cc*zalm2*zscf) |
|
|
zscfh = 1.0 / (1.0+3.0*cb*cc*zalh2*zscf) |
|
|
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 |
|
|
|
|
|
! Au-dela du sommet, pas de diffusion turbulente: |
|
|
|
|
|
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 |
|
| 248 |
|
|
| 249 |
END SUBROUTINE coefkz |
end module coefkz_m |
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