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! $Id: disvert.F90 4257 2022-09-20 14:09:49Z lguez $ |
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SUBROUTINE disvert() |
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#ifdef CPP_IOIPSL |
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use ioipsl, only: getin |
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#else |
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USE ioipsl_getincom, only: getin |
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#endif |
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use new_unit_m, only: new_unit |
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use assert_m, only: assert |
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USE comvert_mod, ONLY: ap, bp, aps, bps, nivsigs, nivsig, dpres, presnivs, & |
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pseudoalt, pa, preff, scaleheight, presinter |
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USE logic_mod, ONLY: ok_strato |
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IMPLICIT NONE |
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include "dimensions.h" |
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include "paramet.h" |
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include "iniprint.h" |
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!------------------------------------------------------------------------------- |
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! Purpose: Vertical distribution functions for LMDZ. |
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! Triggered by the levels number llm. |
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!------------------------------------------------------------------------------- |
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! Read in "comvert_mod": |
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! pa !--- vertical coordinate is close to a PRESSURE COORDINATE FOR P |
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! < 0.3 * pa (relative variation of p on a model level is < 0.1 %) |
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! preff !--- REFERENCE PRESSURE (101325 Pa) |
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! Written in "comvert_mod": |
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! ap(llm+1), bp(llm+1) !--- Ap, Bp HYBRID COEFFICIENTS AT INTERFACES |
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! aps(llm), bps(llm) !--- Ap, Bp HYBRID COEFFICIENTS AT MID-LAYERS |
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! dpres(llm) !--- PRESSURE DIFFERENCE FOR EACH LAYER |
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! presnivs(llm) !--- PRESSURE AT EACH MID-LAYER |
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! presinter(llm+1) !--- PRESSURE AT EACH INTERFACE |
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! scaleheight !--- VERTICAL SCALE HEIGHT (Earth: 8kms) |
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! nivsig(llm+1) !--- SIGMA INDEX OF EACH LAYER INTERFACE |
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! nivsigs(llm) !--- SIGMA INDEX OF EACH MID-LAYER |
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!------------------------------------------------------------------------------- |
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! Local variables: |
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REAL sig(llm+1), dsig(llm) |
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REAL sig0(llm+1), zz(llm+1) |
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REAL zk, zkm1, dzk1, dzk2, z, k0, k1 |
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INTEGER l, unit |
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REAL dsigmin |
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REAL vert_scale,vert_dzmin,vert_dzlow,vert_z0low,vert_dzmid,vert_z0mid,vert_h_mid,vert_dzhig,vert_z0hig,vert_h_hig |
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REAL alpha, beta, deltaz |
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REAL x |
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character(len=*),parameter :: modname="disvert" |
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character(len=24):: vert_sampling |
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! (allowed values are "param", "tropo", "strato" and "read") |
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!----------------------------------------------------------------------- |
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WRITE(lunout,*) TRIM(modname)//" starts" |
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! default scaleheight is 8km for earth |
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scaleheight=8. |
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✗✓ |
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vert_sampling = merge("strato", "tropo ", ok_strato) ! default value |
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call getin('vert_sampling', vert_sampling) |
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WRITE(lunout,*) TRIM(modname)//' vert_sampling = ' // vert_sampling |
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✓✗ |
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if (llm==39 .and. vert_sampling=="strato") then |
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dsigmin=0.3 ! Vieille option par défaut pour CMIP5 |
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else |
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dsigmin=1. |
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endif |
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call getin('dsigmin', dsigmin) |
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WRITE(LUNOUT,*) trim(modname), 'Discretisation verticale DSIGMIN=',dsigmin |
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select case (vert_sampling) |
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case ("param") |
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! On lit les options dans sigma.def: |
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OPEN(99, file='sigma.def', status='old', form='formatted') |
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READ(99, *) scaleheight ! hauteur d'echelle 8. |
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READ(99, *) deltaz ! epaiseur de la premiere couche 0.04 |
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READ(99, *) beta ! facteur d'acroissement en haut 1.3 |
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READ(99, *) k0 ! nombre de couches dans la transition surf |
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READ(99, *) k1 ! nombre de couches dans la transition haute |
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CLOSE(99) |
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alpha=deltaz/(llm*scaleheight) |
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write(lunout, *)trim(modname),':scaleheight, alpha, k0, k1, beta', & |
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scaleheight, alpha, k0, k1, beta |
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alpha=deltaz/tanh(1./k0)*2. |
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zkm1=0. |
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sig(1)=1. |
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do l=1, llm |
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sig(l+1)=(cosh(l/k0))**(-alpha*k0/scaleheight) & |
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*exp(-alpha/scaleheight*tanh((llm-k1)/k0) & |
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*beta**(l-(llm-k1))/log(beta)) |
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zk=-scaleheight*log(sig(l+1)) |
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dzk1=alpha*tanh(l/k0) |
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dzk2=alpha*tanh((llm-k1)/k0)*beta**(l-(llm-k1))/log(beta) |
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write(lunout, *)l, sig(l+1), zk, zk-zkm1, dzk1, dzk2 |
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zkm1=zk |
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enddo |
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sig(llm+1)=0. |
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bp(: llm) = EXP(1. - 1. / sig(: llm)**2) |
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bp(llmp1) = 0. |
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ap = pa * (sig - bp) |
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case("sigma") |
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DO l = 1, llm |
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x = 2*asin(1.) * (l - 0.5) / (llm + 1) |
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dsig(l) = dsigmin + 7.0 * SIN(x)**2 |
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ENDDO |
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dsig = dsig / sum(dsig) |
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sig(llm+1) = 0. |
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DO l = llm, 1, -1 |
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sig(l) = sig(l+1) + dsig(l) |
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ENDDO |
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bp(1)=1. |
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bp(2: llm) = sig(2:llm) |
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bp(llmp1) = 0. |
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ap(:)=0. |
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case("tropo") |
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DO l = 1, llm |
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x = 2*asin(1.) * (l - 0.5) / (llm + 1) |
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dsig(l) = dsigmin + 7.0 * SIN(x)**2 |
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ENDDO |
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dsig = dsig / sum(dsig) |
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sig(llm+1) = 0. |
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DO l = llm, 1, -1 |
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sig(l) = sig(l+1) + dsig(l) |
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ENDDO |
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bp(1)=1. |
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bp(2: llm) = EXP(1. - 1. / sig(2: llm)**2) |
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bp(llmp1) = 0. |
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ap(1)=0. |
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ap(2: llm + 1) = pa * (sig(2: llm + 1) - bp(2: llm + 1)) |
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case("strato") |
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✓✓ |
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DO l = 1, llm |
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x = 2*asin(1.) * (l - 0.5) / (llm + 1) |
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dsig(l) =(dsigmin + 7. * SIN(x)**2) & |
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*(0.5*(1.-tanh(1.*(x-asin(1.))/asin(1.))))**2 |
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ENDDO |
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✓✓✓✓
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dsig = dsig / sum(dsig) |
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sig(llm+1) = 0. |
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✓✓ |
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DO l = llm, 1, -1 |
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sig(l) = sig(l+1) + dsig(l) |
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ENDDO |
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bp(1)=1. |
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✓✓ |
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bp(2: llm) = EXP(1. - 1. / sig(2: llm)**2) |
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bp(llmp1) = 0. |
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ap(1)=0. |
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✓✓ |
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ap(2: llm + 1) = pa * (sig(2: llm + 1) - bp(2: llm + 1)) |
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case("strato_correct") |
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!================================================================== |
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! Fredho 2014/05/18, Saint-Louis du Senegal |
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! Cette version de la discretisation strato est corrige au niveau |
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! du passage des sig aux ap, bp |
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! la version precedente donne un coude dans l'epaisseur des couches |
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! vers la tropopause |
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!================================================================== |
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DO l = 1, llm |
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x = 2*asin(1.) * (l - 0.5) / (llm + 1) |
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dsig(l) =(dsigmin + 7. * SIN(x)**2) & |
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*(0.5*(1.-tanh(1.*(x-asin(1.))/asin(1.))))**2 |
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ENDDO |
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dsig = dsig / sum(dsig) |
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sig0(llm+1) = 0. |
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DO l = llm, 1, -1 |
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sig0(l) = sig0(l+1) + dsig(l) |
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ENDDO |
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sig=racinesig(sig0) |
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bp(1)=1. |
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bp(2:llm)=EXP(1.-1./sig(2: llm)**2) |
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bp(llmp1)=0. |
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ap(1)=0. |
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ap(2:llm)=pa*(sig(2:llm)-bp(2:llm)) |
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ap(llm+1)=0. |
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CASE("strato_custom0") |
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!======================================================= |
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! Version Transitoire |
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! custumize strato distribution with specific alpha & beta values and function |
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! depending on llm (experimental and temporary)! |
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SELECT CASE (llm) |
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CASE(55) |
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alpha=0.45 |
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beta=4.0 |
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CASE(63) |
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alpha=0.45 |
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beta=5.0 |
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CASE(71) |
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alpha=3.05 |
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beta=65. |
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CASE(79) |
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alpha=3.20 |
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! alpha=2.05 ! FLOTT 79 (PLANTE) |
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beta=70. |
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END SELECT |
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! Or used values provided by user in def file: |
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CALL getin("strato_alpha",alpha) |
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CALL getin("strato_beta",beta) |
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! Build geometrical distribution |
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scaleheight=7. |
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zz(1)=0. |
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IF (llm==55.OR.llm==63) THEN |
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DO l=1,llm |
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z=zz(l)/scaleheight |
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zz(l+1)=zz(l)+0.03+z*1.5*(1.-TANH(z-0.5))+alpha*(1.+TANH(z-1.5)) & |
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+5.0*EXP((l-llm)/beta) |
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ENDDO |
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ELSEIF (llm==71) THEN !.OR.llm==79) THEN ! FLOTT 79 (PLANTE) |
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DO l=1,llm |
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z=zz(l) |
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zz(l+1)=zz(l)+0.02+0.88*TANH(z/2.5)+alpha*(1.+TANH((z-beta)/15.)) |
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ENDDO |
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ELSEIF (llm==79) THEN |
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DO l=1,llm |
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z=zz(l) |
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zz(l+1)=zz(l)+0.02+0.80*TANH(z/3.8)+alpha*(1+TANH((z-beta)/17.)) & |
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+0.03*TANH(z/.25) |
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ENDDO |
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ENDIF ! of IF (llm==55.OR.llm==63) ... |
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! Build sigma distribution |
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sig0=EXP(-zz(:)/scaleheight) |
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sig0(llm+1)=0. |
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! sig=ridders(sig0) |
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sig=racinesig(sig0) |
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! Compute ap() and bp() |
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bp(1)=1. |
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bp(2:llm)=EXP(1.-1./sig(2:llm)**2) |
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bp(llm+1)=0. |
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ap=pa*(sig-bp) |
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CASE("strato_custom") |
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!=================================================================== |
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! David Cugnet, François Lott, Lionel Guez, Ehouoarn Millour, Fredho |
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! 2014/05 |
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! custumize strato distribution |
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! Al the parameter are given in km assuming a given scalehigh |
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vert_scale=7. ! scale hight |
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vert_dzmin=0.02 ! width of first layer |
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vert_dzlow=1. ! dz in the low atmosphere |
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vert_z0low=8. ! height at which resolution recches dzlow |
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vert_dzmid=3. ! dz in the mid atmsophere |
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vert_z0mid=70. ! height at which resolution recches dzmid |
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vert_h_mid=20. ! width of the transition |
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vert_dzhig=11. ! dz in the high atmsophere |
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vert_z0hig=80. ! height at which resolution recches dz |
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vert_h_hig=20. ! width of the transition |
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!=================================================================== |
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call getin('vert_scale',vert_scale) |
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call getin('vert_dzmin',vert_dzmin) |
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call getin('vert_dzlow',vert_dzlow) |
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call getin('vert_z0low',vert_z0low) |
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CALL getin('vert_dzmid',vert_dzmid) |
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CALL getin('vert_z0mid',vert_z0mid) |
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call getin('vert_h_mid',vert_h_mid) |
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call getin('vert_dzhig',vert_dzhig) |
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call getin('vert_z0hig',vert_z0hig) |
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call getin('vert_h_hig',vert_h_hig) |
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scaleheight=vert_scale ! for consistency with further computations |
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! Build geometrical distribution |
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zz(1)=0. |
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DO l=1,llm |
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z=zz(l) |
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zz(l+1)=zz(l)+vert_dzmin+vert_dzlow*TANH(z/vert_z0low)+ & |
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& (vert_dzmid-vert_dzlow)* & |
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& (TANH((z-vert_z0mid)/vert_h_mid)-TANH((-vert_z0mid)/vert_h_mid)) & |
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& +(vert_dzhig-vert_dzmid-vert_dzlow)* & |
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& (TANH((z-vert_z0hig)/vert_h_hig)-TANH((-vert_z0hig)/vert_h_hig)) |
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ENDDO |
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!=================================================================== |
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! Comment added Fredho 2014/05/18, Saint-Louis, Senegal |
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! From approximate z to ap, bp, so that p=ap+bp*p0 and p/p0=exp(-z/H) |
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! sig0 is p/p0 |
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! sig is an intermediate distribution introduce to estimate bp |
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! 1. sig0=exp(-z/H) |
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! 2. inversion of sig0=(1-pa/p0)*sig+(1-pa/p0)*exp(1-1/sig**2) |
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! 3. bp=exp(1-1/sig**2) |
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! 4. ap deduced from the combination of 2 and 3 so that sig0=ap/p0+bp |
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!=================================================================== |
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sig0=EXP(-zz(:)/vert_scale) |
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sig0(llm+1)=0. |
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sig=racinesig(sig0) |
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bp(1)=1. |
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bp(2:llm)=EXP(1.-1./sig(2:llm)**2) |
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bp(llm+1)=0. |
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ap=pa*(sig-bp) |
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case("read") |
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! Read "ap" and "bp". First line is skipped (title line). "ap" |
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! should be in Pa. First couple of values should correspond to |
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! the surface, that is : "bp" should be in descending order. |
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call new_unit(unit) |
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open(unit, file="hybrid.txt", status="old", action="read", & |
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position="rewind") |
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read(unit, fmt=*) ! skip title line |
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do l = 1, llm + 1 |
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read(unit, fmt=*) ap(l), bp(l) |
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end do |
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close(unit) |
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call assert(ap(1) == 0., ap(llm + 1) == 0., bp(1) == 1., & |
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bp(llm + 1) == 0., "disvert: bad ap or bp values") |
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case default |
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✗✗✗✓
✗✗✗✗
✗ |
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call abort_gcm("disvert", 'Wrong value for "vert_sampling"', 1) |
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END select |
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✓✓ |
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DO l=1, llm |
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nivsigs(l) = REAL(l) |
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ENDDO |
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✓✓ |
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DO l=1, llmp1 |
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nivsig(l)= REAL(l) |
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ENDDO |
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write(lunout, *) trim(modname),': BP ' |
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1 |
write(lunout, *) bp |
340 |
|
1 |
write(lunout, *) trim(modname),': AP ' |
341 |
|
1 |
write(lunout, *) ap |
342 |
|
|
|
343 |
|
1 |
write(lunout, *) 'Niveaux de pressions approximatifs aux centres des' |
344 |
|
1 |
write(lunout, *)'couches calcules pour une pression de surface =', preff |
345 |
|
1 |
write(lunout, *) 'et altitudes equivalentes pour une hauteur d echelle de ' |
346 |
|
1 |
write(lunout, *) scaleheight,' km' |
347 |
✓✓ |
40 |
DO l = 1, llm |
348 |
|
39 |
dpres(l) = bp(l) - bp(l+1) |
349 |
|
39 |
aps(l) = 0.5 *( ap(l) +ap(l+1)) |
350 |
|
39 |
bps(l) = 0.5 *( bp(l) +bp(l+1)) |
351 |
|
39 |
presnivs(l) = 0.5 *( ap(l)+bp(l)*preff + ap(l+1)+bp(l+1)*preff ) |
352 |
|
39 |
pseudoalt(l) = log(preff/presnivs(l))*scaleheight |
353 |
|
39 |
write(lunout, *)'PRESNIVS(', l, ')=', presnivs(l), ' Z ~ ', & |
354 |
|
|
pseudoalt(l) & |
355 |
|
39 |
, ' DZ ~ ', scaleheight*log((ap(l)+bp(l)*preff)/ & |
356 |
|
79 |
max(ap(l+1)+bp(l+1)*preff, 1.e-10)) |
357 |
|
|
ENDDO |
358 |
✓✓ |
41 |
DO l=1, llmp1 |
359 |
|
40 |
presinter(l)= ( ap(l)+bp(l)*preff) |
360 |
|
41 |
write(lunout, *)'PRESINTER(', l, ')=', presinter(l) |
361 |
|
|
ENDDO |
362 |
|
|
|
363 |
|
1 |
write(lunout, *) trim(modname),': PRESNIVS ' |
364 |
|
1 |
write(lunout, *) presnivs |
365 |
|
|
|
366 |
|
|
CONTAINS |
367 |
|
|
|
368 |
|
|
!------------------------------------------------------------------------------- |
369 |
|
|
! |
370 |
|
|
FUNCTION ridders(sig) RESULT(sg) |
371 |
|
|
! |
372 |
|
|
!------------------------------------------------------------------------------- |
373 |
|
|
IMPLICIT NONE |
374 |
|
|
!------------------------------------------------------------------------------- |
375 |
|
|
! Purpose: Search for s solving (Pa/Preff)*s+(1-Pa/Preff)*EXP(1-1./s**2)=sg |
376 |
|
|
! Notes: Uses Ridders' method, quite robust. Initial bracketing: 0<=sg<=1. |
377 |
|
|
! Reference: Ridders, C. F. J. "A New Algorithm for Computing a Single Root of a |
378 |
|
|
! Real Continuous Function" IEEE Trans. Circuits Systems 26, 979-980, 1979 |
379 |
|
|
!------------------------------------------------------------------------------- |
380 |
|
|
! Arguments: |
381 |
|
|
REAL, INTENT(IN) :: sig(:) |
382 |
|
|
REAL :: sg(SIZE(sig)) |
383 |
|
|
!------------------------------------------------------------------------------- |
384 |
|
|
! Local variables: |
385 |
|
|
INTEGER :: it, ns, maxit |
386 |
|
|
REAL :: c1, c2, x1, x2, x3, x4, f1, f2, f3, f4, s, xx, distrib |
387 |
|
|
!------------------------------------------------------------------------------- |
388 |
|
|
ns=SIZE(sig); maxit=9999 |
389 |
|
|
c1=Pa/Preff; c2=1.-c1 |
390 |
|
|
DO l=1,ns |
391 |
|
|
xx=HUGE(1.) |
392 |
|
|
x1=0.0; f1=distrib(x1,c1,c2,sig(l)) |
393 |
|
|
x2=1.0; f2=distrib(x2,c1,c2,sig(l)) |
394 |
|
|
DO it=1,maxit |
395 |
|
|
x3=0.5*(x1+x2); f3=distrib(x3,c1,c2,sig(l)) |
396 |
|
|
s=SQRT(f3**2-f1*f2); IF(s==0.) EXIT |
397 |
|
|
x4=x3+(x3-x1)*(SIGN(1.,f1-f2)*f3/s); IF(ABS(10.*LOG(x4-xx))<=1E-5) EXIT |
398 |
|
|
xx=x4; f4=distrib(x4,c1,c2,sig(l)); IF(f4==0.) EXIT |
399 |
|
|
IF(SIGN(f3,f4)/=f3) THEN; x1=x3; f1=f3; x2=xx; f2=f4 |
400 |
|
|
ELSE IF(SIGN(f1,f4)/=f1) THEN; x2=xx; f2=f4 |
401 |
|
|
ELSE IF(SIGN(f2,f4)/=f2) THEN; x1=xx; f1=f4 |
402 |
|
|
ELSE; CALL abort_gcm("ridders",'Algorithm failed (which is odd...', 1) |
403 |
|
|
END IF |
404 |
|
|
IF(ABS(10.*LOG(ABS(x2-x1)))<=1E-5) EXIT !--- ERROR ON SIG <= 0.01m |
405 |
|
|
END DO |
406 |
|
|
IF(it==maxit+1) WRITE(lunout,'(a,i3)')'WARNING in ridder: failed to converg& |
407 |
|
|
&e for level ',l |
408 |
|
|
sg(l)=xx |
409 |
|
|
END DO |
410 |
|
|
sg(1)=1.; sg(ns)=0. |
411 |
|
|
|
412 |
|
|
END FUNCTION ridders |
413 |
|
|
|
414 |
|
|
FUNCTION racinesig(sig) RESULT(sg) |
415 |
|
|
! |
416 |
|
|
!------------------------------------------------------------------------------- |
417 |
|
|
IMPLICIT NONE |
418 |
|
|
!------------------------------------------------------------------------------- |
419 |
|
|
! Fredho 2014/05/18 |
420 |
|
|
! Purpose: Search for s solving (Pa/Preff)*sg+(1-Pa/Preff)*EXP(1-1./sg**2)=s |
421 |
|
|
! Notes: Uses Newton Raphson search |
422 |
|
|
!------------------------------------------------------------------------------- |
423 |
|
|
! Arguments: |
424 |
|
|
REAL, INTENT(IN) :: sig(:) |
425 |
|
|
REAL :: sg(SIZE(sig)) |
426 |
|
|
!------------------------------------------------------------------------------- |
427 |
|
|
! Local variables: |
428 |
|
|
INTEGER :: it, ns, maxit |
429 |
|
|
REAL :: c1, c2, x1, x2, x3, x4, f1, f2, f3, f4, s, xx, distrib |
430 |
|
|
!------------------------------------------------------------------------------- |
431 |
|
|
ns=SIZE(sig); maxit=100 |
432 |
|
|
c1=Pa/Preff; c2=1.-c1 |
433 |
|
|
DO l=2,ns-1 |
434 |
|
|
sg(l)=sig(l) |
435 |
|
|
DO it=1,maxit |
436 |
|
|
f1=exp(1-1./sg(l)**2)*(1.-c1) |
437 |
|
|
sg(l)=sg(l)-(c1*sg(l)+f1-sig(l))/(c1+2*f1*sg(l)**(-3)) |
438 |
|
|
ENDDO |
439 |
|
|
! print*,'SSSSIG ',sig(l),sg(l),c1*sg(l)+exp(1-1./sg(l)**2)*(1.-c1) |
440 |
|
|
ENDDO |
441 |
|
|
sg(1)=1.; sg(ns)=0. |
442 |
|
|
|
443 |
|
|
END FUNCTION racinesig |
444 |
|
|
|
445 |
|
|
|
446 |
|
|
|
447 |
|
|
|
448 |
|
|
END SUBROUTINE disvert |
449 |
|
|
|
450 |
|
|
!------------------------------------------------------------------------------- |
451 |
|
|
|
452 |
|
|
FUNCTION distrib(x,c1,c2,x0) RESULT(res) |
453 |
|
|
! |
454 |
|
|
!------------------------------------------------------------------------------- |
455 |
|
|
! Arguments: |
456 |
|
|
REAL, INTENT(IN) :: x, c1, c2, x0 |
457 |
|
|
REAL :: res |
458 |
|
|
!------------------------------------------------------------------------------- |
459 |
|
|
res=c1*x+c2*EXP(1-1/(x**2))-x0 |
460 |
|
|
|
461 |
|
|
END FUNCTION distrib |
462 |
|
|
|
463 |
|
|
|