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module exner_hyb_m |
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IMPLICIT NONE |
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contains |
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SUBROUTINE exner_hyb(ps, p, pks, pk, pkf) |
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! From dyn3d/exner_hyb.F, v 1.1.1.1 2004/05/19 12:53:07 |
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! Auteurs : P. Le Van, F. Hourdin. |
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! Calcule la fonction d'Exner : |
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! pk = Cp * p ** kappa |
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! aux milieux des couches. |
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! Pk(l) est calculé aux milieux des couches "l", entre les pressions |
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! "p(l)" et "p(l+1)", définies aux interfaces des "llm" couches. |
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! Au sommet de l'atmosphère : |
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! p(llm+1) = 0. |
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! et ps et pks sont la pression et la fonction d'Exner au sol. |
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! À partir des relations : |
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! -------- z |
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!(1) p*dz(pk) = kappa *pk*dz(p) |
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!(2) pk(l) = alpha(l)+ beta(l)*pk(l-1) |
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! (voir note de F. Hourdin), on determine successivement, du haut |
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! vers le bas des couches, les coefficients : |
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! alpha(llm), beta(llm)..., alpha(l), beta(l)..., alpha(2), beta(2) |
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! puis "pk(ij, 1)". |
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! Ensuite, on calcule, du bas vers le haut des couches, "pk(ij, l)" |
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! donné par la relation (2), pour l = 2 à l = llm. |
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use dimens_m, only: iim, jjm, llm |
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use comconst, only: kappa, cpp |
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use comvert, only: preff |
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use comgeom, only: aire_2d, apoln, apols |
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REAL, intent(in):: ps((iim + 1) * (jjm + 1)) |
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REAL, intent(in):: p((iim + 1) * (jjm + 1), llm + 1) |
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real, intent(out):: pks((iim + 1) * (jjm + 1)) |
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real, intent(out):: pk((iim + 1) * (jjm + 1), llm) |
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real, intent(out), optional:: pkf((iim + 1) * (jjm + 1), llm) |
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! Variables locales |
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real alpha((iim + 1) * (jjm + 1), llm), beta((iim + 1) * (jjm + 1), llm) |
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INTEGER l, ij |
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REAL unpl2k, dellta |
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REAL ppn(iim), pps(iim) |
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REAL xpn, xps |
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REAL SSUM |
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!------------------------------------- |
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pks(:) = cpp * (ps(:) / preff)**kappa |
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ppn(:) = aire_2d(:iim, 1) * pks(:iim) |
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pps(:) = aire_2d(:iim, jjm + 1) & |
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* pks(1 + (iim + 1) * jjm: iim + (iim + 1) * jjm) |
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xpn = SSUM(iim, ppn, 1) /apoln |
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xps = SSUM(iim, pps, 1) /apols |
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pks(:iim + 1) = xpn |
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pks(1+(iim + 1) * jjm:) = xps |
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unpl2k = 1. + 2 * kappa |
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! Calcul des coeff. alpha et beta pour la couche l = llm |
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alpha(:, llm) = 0. |
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beta (:, llm) = 1./ unpl2k |
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! Calcul des coeff. alpha et beta pour l = llm-1 à l = 2 |
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DO l = llm -1 , 2 , -1 |
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DO ij = 1, (iim + 1) * (jjm + 1) |
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dellta = p(ij, l)* unpl2k + p(ij, l+1)* ( beta(ij, l+1)-unpl2k ) |
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alpha(ij, l) = - p(ij, l+1) / dellta * alpha(ij, l+1) |
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beta (ij, l) = p(ij, l ) / dellta |
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ENDDO |
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ENDDO |
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! Calcul de pk pour la couche 1, près du sol : |
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pk(:, 1) = (p(:, 1) * pks(:) - 0.5 * alpha(:, 2) * p(:, 2)) & |
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/ (p(:, 1) * (1. + kappa) + 0.5 * (beta(:, 2) - unpl2k) * p(:, 2)) |
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! Calcul de pk(ij, l) , pour l = 2 à l = llm |
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DO l = 2, llm |
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DO ij = 1, (iim + 1) * (jjm + 1) |
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pk(ij, l) = alpha(ij, l) + beta(ij, l) * pk(ij, l-1) |
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ENDDO |
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ENDDO |
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if (present(pkf)) then |
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pkf(:, :) = pk(:, :) |
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CALL filtreg(pkf, jjm + 1, llm, 2, 1, .TRUE., 1) |
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end if |
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END SUBROUTINE exner_hyb |
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end module exner_hyb_m |
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