| 1 |
guez |
3 |
module exner_hyb_m |
| 2 |
|
|
|
| 3 |
|
|
IMPLICIT NONE |
| 4 |
|
|
|
| 5 |
|
|
contains |
| 6 |
|
|
|
| 7 |
|
|
SUBROUTINE exner_hyb(ps, p, pks, pk, pkf) |
| 8 |
|
|
|
| 9 |
|
|
! From dyn3d/exner_hyb.F, v 1.1.1.1 2004/05/19 12:53:07 |
| 10 |
|
|
|
| 11 |
guez |
10 |
! Authors : P. Le Van, F. Hourdin |
| 12 |
guez |
3 |
|
| 13 |
|
|
! Calcule la fonction d'Exner : |
| 14 |
|
|
! pk = Cp * p ** kappa |
| 15 |
guez |
10 |
! aux milieux des "llm" couches. |
| 16 |
|
|
! "Pk(l)" est calculé au milieu de la couche "l", entre les pressions |
| 17 |
|
|
! "p(l)" et "p(l+1)", définies aux interfaces des couches. |
| 18 |
guez |
3 |
|
| 19 |
|
|
! Au sommet de l'atmosphère : |
| 20 |
|
|
! p(llm+1) = 0. |
| 21 |
guez |
10 |
! "ps" et "pks" sont la pression et la fonction d'Exner au sol. |
| 22 |
guez |
3 |
|
| 23 |
|
|
! À partir des relations : |
| 24 |
|
|
|
| 25 |
|
|
! -------- z |
| 26 |
guez |
10 |
!(1) p*dz(pk) = kappa * pk * dz(p) |
| 27 |
guez |
3 |
|
| 28 |
guez |
10 |
!(2) pk(l) = alpha(l)+ beta(l) * pk(l-1) |
| 29 |
guez |
3 |
|
| 30 |
guez |
10 |
! (voir note de F. Hourdin), on détermine successivement, du haut |
| 31 |
guez |
3 |
! vers le bas des couches, les coefficients : |
| 32 |
|
|
! alpha(llm), beta(llm)..., alpha(l), beta(l)..., alpha(2), beta(2) |
| 33 |
guez |
10 |
! puis "pk(:, 1)". |
| 34 |
|
|
! Ensuite, on calcule, du bas vers le haut des couches, "pk(:, l)" |
| 35 |
guez |
3 |
! donné par la relation (2), pour l = 2 à l = llm. |
| 36 |
|
|
|
| 37 |
|
|
use dimens_m, only: iim, jjm, llm |
| 38 |
|
|
use comconst, only: kappa, cpp |
| 39 |
|
|
use comvert, only: preff |
| 40 |
|
|
use comgeom, only: aire_2d, apoln, apols |
| 41 |
guez |
27 |
use filtreg_m, only: filtreg |
| 42 |
guez |
3 |
|
| 43 |
|
|
REAL, intent(in):: ps((iim + 1) * (jjm + 1)) |
| 44 |
|
|
REAL, intent(in):: p((iim + 1) * (jjm + 1), llm + 1) |
| 45 |
|
|
|
| 46 |
|
|
real, intent(out):: pks((iim + 1) * (jjm + 1)) |
| 47 |
|
|
real, intent(out):: pk((iim + 1) * (jjm + 1), llm) |
| 48 |
|
|
real, intent(out), optional:: pkf((iim + 1) * (jjm + 1), llm) |
| 49 |
|
|
|
| 50 |
|
|
! Variables locales |
| 51 |
|
|
|
| 52 |
|
|
real alpha((iim + 1) * (jjm + 1), llm), beta((iim + 1) * (jjm + 1), llm) |
| 53 |
guez |
10 |
INTEGER l |
| 54 |
|
|
REAL unpl2k, dellta((iim + 1) * (jjm + 1)) |
| 55 |
guez |
3 |
|
| 56 |
|
|
REAL ppn(iim), pps(iim) |
| 57 |
|
|
|
| 58 |
|
|
!------------------------------------- |
| 59 |
|
|
|
| 60 |
guez |
10 |
pks = cpp * (ps / preff)**kappa |
| 61 |
|
|
ppn = aire_2d(:iim, 1) * pks(:iim) |
| 62 |
|
|
pps = aire_2d(:iim, jjm + 1) & |
| 63 |
guez |
3 |
* pks(1 + (iim + 1) * jjm: iim + (iim + 1) * jjm) |
| 64 |
guez |
10 |
pks(:iim + 1) = SUM(ppn) /apoln |
| 65 |
|
|
pks(1+(iim + 1) * jjm:) = SUM(pps) /apols |
| 66 |
guez |
3 |
|
| 67 |
|
|
unpl2k = 1. + 2 * kappa |
| 68 |
|
|
|
| 69 |
guez |
10 |
! Calcul des coefficients alpha et beta pour la couche l = llm : |
| 70 |
guez |
3 |
alpha(:, llm) = 0. |
| 71 |
guez |
10 |
beta(:, llm) = 1./ unpl2k |
| 72 |
guez |
3 |
|
| 73 |
guez |
10 |
! Calcul des coefficients alpha et beta pour l = llm-1 à l = 2 : |
| 74 |
|
|
DO l = llm - 1, 2, -1 |
| 75 |
|
|
dellta = p(:, l) * unpl2k + p(:, l+1) * (beta(:, l+1) - unpl2k) |
| 76 |
|
|
alpha(:, l) = - p(:, l+1) / dellta * alpha(:, l+1) |
| 77 |
|
|
beta(:, l) = p(:, l) / dellta |
| 78 |
guez |
3 |
ENDDO |
| 79 |
|
|
|
| 80 |
|
|
! Calcul de pk pour la couche 1, près du sol : |
| 81 |
guez |
10 |
pk(:, 1) = (p(:, 1) * pks - 0.5 * alpha(:, 2) * p(:, 2)) & |
| 82 |
guez |
3 |
/ (p(:, 1) * (1. + kappa) + 0.5 * (beta(:, 2) - unpl2k) * p(:, 2)) |
| 83 |
|
|
|
| 84 |
guez |
10 |
! Calcul de pk(:, l) pour l = 2 à l = llm : |
| 85 |
guez |
3 |
DO l = 2, llm |
| 86 |
guez |
10 |
pk(:, l) = alpha(:, l) + beta(:, l) * pk(:, l-1) |
| 87 |
guez |
3 |
ENDDO |
| 88 |
|
|
|
| 89 |
|
|
if (present(pkf)) then |
| 90 |
guez |
10 |
pkf = pk |
| 91 |
guez |
3 |
CALL filtreg(pkf, jjm + 1, llm, 2, 1, .TRUE., 1) |
| 92 |
|
|
end if |
| 93 |
|
|
|
| 94 |
|
|
END SUBROUTINE exner_hyb |
| 95 |
|
|
|
| 96 |
|
|
end module exner_hyb_m |
Parent Directory
| 
Revision Log