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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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! Authors: 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 "llm" couches. |
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! "Pk(l)" est calculé au milieu de la couche "l", entre les pressions |
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! "p(l)" et "p(l+1)", définies aux interfaces des couches. |
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! Au sommet de l'atmosphère : |
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! p(llm+1) = 0. |
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! "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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!(1) \overline{p * \delta_z pk}^z = kappa * pk * \delta_z p |
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!(2) pk(l) = beta(l) * pk(l-1) |
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! (cf. documentation), on détermine successivement, du haut vers |
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! le bas des couches, les coefficients : beta(llm)..., beta(l)..., |
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! beta(2) puis "pk(:, :, 1)". Ensuite, on calcule, du bas vers le |
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! haut des couches, "pk(:, :, l)" donné par la relation (2), pour |
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! 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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use filtreg_m, only: filtreg |
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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 beta(iim + 1, jjm + 1, 2:llm) |
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INTEGER l |
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REAL unpl2k |
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!------------------------------------- |
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pks = cpp * (ps / preff)**kappa |
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pks(:, 1) = SUM(aire_2d(:iim, 1) * pks(:iim, 1)) / apoln |
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pks(:, jjm + 1) = SUM(aire_2d(:iim, jjm + 1) * pks(:iim, jjm + 1)) / apols |
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unpl2k = 1. + 2 * kappa |
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beta(:, :, llm) = 1. / unpl2k |
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DO l = llm - 1, 2, -1 |
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beta(:, :, l) = p(:, :, l) & |
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/ (p(:, :, l) * unpl2k + p(:, :, l+1) * (beta(:, :, l+1) - unpl2k)) |
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ENDDO |
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pk(:, :, 1) = p(:, :, 1) * pks & |
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/ (p(:, :, 1) * (1. + kappa) & |
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+ 0.5 * (beta(:, :, 2) - unpl2k) * p(:, :, 2)) |
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DO l = 2, llm |
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pk(:, :, l) = beta(:, :, l) * pk(:, :, l-1) |
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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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