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module dynetat0_m |
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use dimensions, only: iim, jjm |
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IMPLICIT NONE |
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private iim, jjm |
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INTEGER, protected, save:: day_ini |
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! day number at the beginning of the run, based at value 1 on |
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! January 1st of annee_ref |
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real, protected, save:: rlatu(jjm + 1) |
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! latitudes of points of the "scalar" and "u" grid, in rad |
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real, protected, save:: rlatv(jjm) |
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! latitudes of points of the "v" grid, in rad, in decreasing order |
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real, protected, save:: rlonu(iim + 1) |
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! longitudes of points of the "u" grid, in rad |
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real, protected, save:: rlonv(iim + 1) |
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! longitudes of points of the "scalar" and "v" grid, in rad |
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real, protected, save:: xprimu(iim + 1), xprimv(iim + 1) |
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! 2 pi / iim * (derivative of the longitudinal zoom function)(rlon[uv]) |
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REAL, protected, save:: xprimm025(iim + 1), xprimp025(iim + 1) |
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REAL, protected, save:: rlatu1(jjm), rlatu2(jjm), yprimu1(jjm), yprimu2(jjm) |
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REAL, save:: ang0, etot0, ptot0, ztot0, stot0 |
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INTEGER, PARAMETER, private:: nmax = 30000 |
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INTEGER, save:: itau_dyn |
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contains |
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SUBROUTINE dynetat0(vcov, ucov, teta, q, masse, ps, phis) |
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! From dynetat0.F, version 1.2, 2004/06/22 11:45:30 |
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! Authors: P. Le Van, L. Fairhead |
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! This procedure reads the initial state of the atmosphere. |
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! Libraries: |
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use netcdf, only: NF90_NOWRITE, NF90_NOERR |
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use netcdf95, only: NF95_GET_VAR, nf95_open, nf95_inq_varid, NF95_CLOSE, & |
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NF95_Gw_VAR |
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use nr_util, only: assert |
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|
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use conf_gcm_m, only: raz_date |
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use dimensions, only: iim, jjm, llm, nqmx |
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use dynetat0_chosen_m, only: day_ref |
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use iniadvtrac_m, only: tname |
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REAL, intent(out):: vcov(: , :, :) ! (iim + 1, jjm, llm) |
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REAL, intent(out):: ucov(:, :, :) ! (iim + 1, jjm + 1, llm) |
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REAL, intent(out):: teta(:, :, :) ! (iim + 1, jjm + 1, llm) |
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REAL, intent(out):: q(:, :, :, :) ! (iim + 1, jjm + 1, llm, nqmx) |
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REAL, intent(out):: masse(:, :, :) ! (iim + 1, jjm + 1, llm) |
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REAL, intent(out):: ps(:, :) ! (iim + 1, jjm + 1) in Pa |
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REAL, intent(out):: phis(:, :) ! (iim + 1, jjm + 1) |
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! Local variables: |
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INTEGER iq |
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REAL, allocatable:: tab_cntrl(:) ! tableau des param\`etres du run |
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INTEGER ierr, ncid, varid |
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!----------------------------------------------------------------------- |
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print *, "Call sequence information: dynetat0" |
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call assert((/size(ucov, 1), size(vcov, 1), size(masse, 1), size(ps, 1), & |
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size(phis, 1), size(q, 1), size(teta, 1)/) == iim + 1, "dynetat0 iim") |
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call assert((/size(ucov, 2), size(vcov, 2) + 1, size(masse, 2), & |
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size(ps, 2), size(phis, 2), size(q, 2), size(teta, 2)/) == jjm + 1, & |
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"dynetat0 jjm") |
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call assert((/size(vcov, 3), size(ucov, 3), size(teta, 3), size(q, 3), & |
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size(masse, 3)/) == llm, "dynetat0 llm") |
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call assert(size(q, 4) == nqmx, "dynetat0 q nqmx") |
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|
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! Fichier \'etat initial : |
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call nf95_open("start.nc", NF90_NOWRITE, ncid) |
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call nf95_inq_varid(ncid, "controle", varid) |
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call NF95_Gw_VAR(ncid, varid, tab_cntrl) |
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etot0 = tab_cntrl(13) |
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ptot0 = tab_cntrl(14) |
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ztot0 = tab_cntrl(15) |
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stot0 = tab_cntrl(16) |
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ang0 = tab_cntrl(17) |
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if (raz_date) then |
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print *, 'Resetting the date.' |
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day_ini = day_ref |
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itau_dyn = 0 |
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else |
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itau_dyn = tab_cntrl(31) |
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day_ini = tab_cntrl(30) |
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end if |
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print *, "day_ini = ", day_ini |
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call NF95_INQ_VARID (ncid, "rlonu", varid) |
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call NF95_GET_VAR(ncid, varid, rlonu) |
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call NF95_INQ_VARID (ncid, "rlatu", varid) |
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call NF95_GET_VAR(ncid, varid, rlatu) |
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call NF95_INQ_VARID (ncid, "rlonv", varid) |
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call NF95_GET_VAR(ncid, varid, rlonv) |
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call NF95_INQ_VARID (ncid, "rlatv", varid) |
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call NF95_GET_VAR(ncid, varid, rlatv) |
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CALL nf95_inq_varid(ncid, 'xprimu', varid) |
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CALL nf95_get_var(ncid, varid, xprimu) |
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CALL nf95_inq_varid(ncid, 'xprimv', varid) |
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CALL nf95_get_var(ncid, varid, xprimv) |
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120 |
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CALL nf95_inq_varid(ncid, 'xprimm025', varid) |
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CALL nf95_get_var(ncid, varid, xprimm025) |
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CALL nf95_inq_varid(ncid, 'xprimp025', varid) |
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CALL nf95_get_var(ncid, varid, xprimp025) |
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call NF95_INQ_VARID (ncid, "rlatu1", varid) |
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call NF95_GET_VAR(ncid, varid, rlatu1) |
128 |
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129 |
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call NF95_INQ_VARID (ncid, "rlatu2", varid) |
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call NF95_GET_VAR(ncid, varid, rlatu2) |
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132 |
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CALL nf95_inq_varid(ncid, 'yprimu1', varid) |
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CALL nf95_get_var(ncid, varid, yprimu1) |
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CALL nf95_inq_varid(ncid, 'yprimu2', varid) |
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CALL nf95_get_var(ncid, varid, yprimu2) |
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call NF95_INQ_VARID (ncid, "phis", varid) |
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call NF95_GET_VAR(ncid, varid, phis) |
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call NF95_INQ_VARID (ncid, "ucov", varid) |
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call NF95_GET_VAR(ncid, varid, ucov) |
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call NF95_INQ_VARID (ncid, "vcov", varid) |
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call NF95_GET_VAR(ncid, varid, vcov) |
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call NF95_INQ_VARID (ncid, "teta", varid) |
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call NF95_GET_VAR(ncid, varid, teta) |
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DO iq = 1, nqmx |
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call NF95_INQ_VARID(ncid, tname(iq), varid, ierr) |
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IF (ierr == NF90_NOERR) THEN |
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call NF95_GET_VAR(ncid, varid, q(:, :, :, iq)) |
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ELSE |
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PRINT *, 'dynetat0: "' // tname(iq) // '" not found, ' // & |
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"setting it to zero..." |
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q(:, :, :, iq) = 0. |
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ENDIF |
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ENDDO |
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call NF95_INQ_VARID (ncid, "masse", varid) |
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call NF95_GET_VAR(ncid, varid, masse) |
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call NF95_INQ_VARID (ncid, "ps", varid) |
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call NF95_GET_VAR(ncid, varid, ps) |
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! Check that there is a single value at each pole: |
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call assert(ps(1, 1) == ps(2:, 1), "dynetat0 ps north pole") |
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call assert(ps(1, jjm + 1) == ps(2:, jjm + 1), "dynetat0 ps south pole") |
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call NF95_CLOSE(ncid) |
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END SUBROUTINE dynetat0 |
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!******************************************************************** |
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SUBROUTINE fyhyp |
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! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 |
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! Author: P. Le Van, from analysis by R. Sadourny |
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! Define rlatu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1. |
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! Calcule les latitudes et dérivées dans la grille du GCM pour une |
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! fonction f(y) à dérivée tangente hyperbolique. |
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! Il vaut mieux avoir : grossismy * dzoom < pi / 2 |
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use coefpoly_m, only: coefpoly, a0, a1, a2, a3 |
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USE dimensions, only: jjm |
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use dynetat0_chosen_m, only: clat, grossismy, dzoomy, tauy |
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use heavyside_m, only: heavyside |
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! Local: |
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INTEGER, PARAMETER:: nmax2 = 2 * nmax |
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REAL dzoom ! distance totale de la zone du zoom (en radians) |
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DOUBLE PRECISION ylat(jjm + 1), yprim(jjm + 1) |
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DOUBLE PRECISION yuv |
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DOUBLE PRECISION, save:: yt(0:nmax2) |
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DOUBLE PRECISION fhyp(0:nmax2), beta |
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DOUBLE PRECISION, save:: ytprim(0:nmax2) |
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DOUBLE PRECISION fxm(0:nmax2) |
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DOUBLE PRECISION, save:: yf(0:nmax2) |
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DOUBLE PRECISION yypr(0:nmax2) |
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DOUBLE PRECISION yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) |
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DOUBLE PRECISION pi, pis2, epsilon, pisjm |
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DOUBLE PRECISION yo1, yi, ylon2, ymoy, yprimin |
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DOUBLE PRECISION yfi, yf1, ffdy |
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DOUBLE PRECISION ypn |
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DOUBLE PRECISION, save::deply, y00 |
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INTEGER i, j, it, ik, iter, jlat, jjpn |
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INTEGER, save:: jpn |
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DOUBLE PRECISION yi2, heavyy0, heavyy0m |
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DOUBLE PRECISION fa(0:nmax2), fb(0:nmax2) |
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REAL y0min, y0max |
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!------------------------------------------------------------------- |
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print *, "Call sequence information: fyhyp" |
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pi = 2.*asin(1.) |
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pis2 = pi/2. |
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pisjm = pi/real(jjm) |
226 |
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epsilon = 1e-3 |
227 |
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dzoom = dzoomy*pi |
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DO i = 0, nmax2 |
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yt(i) = -pis2 + real(i)*pi/nmax2 |
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END DO |
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heavyy0m = heavyside(-clat) |
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heavyy0 = heavyside(clat) |
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y0min = 2.*clat*heavyy0m - pis2 |
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y0max = 2.*clat*heavyy0 + pis2 |
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238 |
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fa = 999.999 |
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fb = 999.999 |
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DO i = 0, nmax2 |
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IF (yt(i)<clat) THEN |
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fa(i) = tauy*(yt(i)-clat + dzoom/2.) |
244 |
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fb(i) = (yt(i)-2.*clat*heavyy0m + pis2)*(clat-yt(i)) |
245 |
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ELSE IF (yt(i)>clat) THEN |
246 |
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fa(i) = tauy*(clat-yt(i) + dzoom/2.) |
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fb(i) = (2.*clat*heavyy0-yt(i) + pis2)*(yt(i)-clat) |
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END IF |
249 |
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250 |
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IF (200.*fb(i)<-fa(i)) THEN |
251 |
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fhyp(i) = -1. |
252 |
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ELSE IF (200.*fb(i)<fa(i)) THEN |
253 |
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fhyp(i) = 1. |
254 |
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ELSE |
255 |
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fhyp(i) = tanh(fa(i)/fb(i)) |
256 |
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END IF |
257 |
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258 |
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IF (yt(i)==clat) fhyp(i) = 1. |
259 |
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IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
260 |
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END DO |
261 |
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262 |
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! Calcul de beta |
263 |
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264 |
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ffdy = 0. |
265 |
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266 |
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DO i = 1, nmax2 |
267 |
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ymoy = 0.5*(yt(i-1) + yt(i)) |
268 |
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IF (ymoy<clat) THEN |
269 |
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fa(i) = tauy*(ymoy-clat + dzoom/2.) |
270 |
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fb(i) = (ymoy-2.*clat*heavyy0m + pis2)*(clat-ymoy) |
271 |
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ELSE IF (ymoy>clat) THEN |
272 |
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fa(i) = tauy*(clat-ymoy + dzoom/2.) |
273 |
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fb(i) = (2.*clat*heavyy0-ymoy + pis2)*(ymoy-clat) |
274 |
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END IF |
275 |
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276 |
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IF (200.*fb(i)<-fa(i)) THEN |
277 |
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fxm(i) = -1. |
278 |
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ELSE IF (200.*fb(i)<fa(i)) THEN |
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fxm(i) = 1. |
280 |
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ELSE |
281 |
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fxm(i) = tanh(fa(i)/fb(i)) |
282 |
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END IF |
283 |
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IF (ymoy==clat) fxm(i) = 1. |
284 |
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IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
285 |
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ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) |
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END DO |
287 |
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288 |
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beta = (grossismy*ffdy-pi)/(ffdy-pi) |
289 |
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290 |
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IF (2. * beta - grossismy <= 0.) THEN |
291 |
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print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & |
292 |
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// 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & |
293 |
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// 'dzoomy et relancer.' |
294 |
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STOP 1 |
295 |
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END IF |
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297 |
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! calcul de Ytprim |
298 |
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299 |
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DO i = 0, nmax2 |
300 |
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ytprim(i) = beta + (grossismy-beta)*fhyp(i) |
301 |
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END DO |
302 |
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303 |
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! Calcul de Yf |
304 |
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305 |
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yf(0) = -pis2 |
306 |
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DO i = 1, nmax2 |
307 |
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yypr(i) = beta + (grossismy-beta)*fxm(i) |
308 |
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END DO |
309 |
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310 |
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DO i = 1, nmax2 |
311 |
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yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) |
312 |
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END DO |
313 |
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314 |
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! yuv = 0. si calcul des latitudes aux pts. U |
315 |
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! yuv = 0.5 si calcul des latitudes aux pts. V |
316 |
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317 |
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loop_ik: DO ik = 1, 4 |
318 |
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IF (ik==1) THEN |
319 |
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yuv = 0. |
320 |
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jlat = jjm + 1 |
321 |
|
|
ELSE IF (ik==2) THEN |
322 |
|
|
yuv = 0.5 |
323 |
|
|
jlat = jjm |
324 |
|
|
ELSE IF (ik==3) THEN |
325 |
|
|
yuv = 0.25 |
326 |
|
|
jlat = jjm |
327 |
|
|
ELSE IF (ik==4) THEN |
328 |
|
|
yuv = 0.75 |
329 |
|
|
jlat = jjm |
330 |
|
|
END IF |
331 |
|
|
|
332 |
|
|
yo1 = 0. |
333 |
|
|
DO j = 1, jlat |
334 |
|
|
yo1 = 0. |
335 |
|
|
ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) |
336 |
|
|
yfi = ylon2 |
337 |
|
|
|
338 |
|
|
it = nmax2 |
339 |
|
|
DO while (it >= 1 .and. yfi < yf(it)) |
340 |
|
|
it = it - 1 |
341 |
|
|
END DO |
342 |
|
|
|
343 |
|
|
yi = yt(it) |
344 |
|
|
IF (it==nmax2) THEN |
345 |
|
|
it = nmax2 - 1 |
346 |
|
|
yf(it + 1) = pis2 |
347 |
|
|
END IF |
348 |
|
|
|
349 |
|
|
! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) |
350 |
|
|
! et Y'(yi) |
351 |
|
|
|
352 |
|
|
CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & |
353 |
|
|
yt(it), yt(it + 1)) |
354 |
|
|
|
355 |
|
|
yf1 = yf(it) |
356 |
|
|
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
357 |
|
|
|
358 |
|
|
iter = 1 |
359 |
|
|
DO |
360 |
|
|
yi = yi - (yf1-yfi)/yprimin |
361 |
|
|
IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
362 |
|
|
yo1 = yi |
363 |
|
|
yi2 = yi*yi |
364 |
|
|
yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi |
365 |
|
|
yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 |
366 |
|
|
END DO |
367 |
|
|
if (abs(yi-yo1) > epsilon) then |
368 |
|
|
print *, 'Pas de solution.', j, ylon2 |
369 |
|
|
STOP 1 |
370 |
|
|
end if |
371 |
|
|
|
372 |
|
|
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
373 |
|
|
yprim(j) = pi/(jjm*yprimin) |
374 |
|
|
yvrai(j) = yi |
375 |
|
|
END DO |
376 |
|
|
|
377 |
|
|
DO j = 1, jlat - 1 |
378 |
|
|
IF (yvrai(j + 1)<yvrai(j)) THEN |
379 |
|
|
print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & |
380 |
|
|
j, ')' |
381 |
|
|
STOP 1 |
382 |
|
|
END IF |
383 |
|
|
END DO |
384 |
|
|
|
385 |
|
|
print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' |
386 |
|
|
|
387 |
|
|
IF (ik==1) THEN |
388 |
|
|
ypn = pis2 |
389 |
|
|
DO j = jjm + 1, 1, -1 |
390 |
|
|
IF (yvrai(j)<=ypn) exit |
391 |
|
|
END DO |
392 |
|
|
|
393 |
|
|
jpn = j |
394 |
|
|
y00 = yvrai(jpn) |
395 |
|
|
deply = pis2 - y00 |
396 |
|
|
END IF |
397 |
|
|
|
398 |
|
|
DO j = 1, jjm + 1 - jpn |
399 |
|
|
ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) |
400 |
|
|
yprimm(j) = yprim(jpn + j-1) |
401 |
|
|
END DO |
402 |
|
|
|
403 |
|
|
jjpn = jpn |
404 |
|
|
IF (jlat==jjm) jjpn = jpn - 1 |
405 |
|
|
|
406 |
|
|
DO j = 1, jjpn |
407 |
|
|
ylatt(j + jjm + 1-jpn) = yvrai(j) + deply |
408 |
|
|
yprimm(j + jjm + 1-jpn) = yprim(j) |
409 |
|
|
END DO |
410 |
|
|
|
411 |
|
|
! Fin de la reorganisation |
412 |
|
|
|
413 |
|
|
DO j = 1, jlat |
414 |
|
|
ylat(j) = ylatt(jlat + 1-j) |
415 |
|
|
yprim(j) = yprimm(jlat + 1-j) |
416 |
|
|
END DO |
417 |
|
|
|
418 |
|
|
DO j = 1, jlat |
419 |
|
|
yvrai(j) = ylat(j)*180./pi |
420 |
|
|
END DO |
421 |
|
|
|
422 |
|
|
IF (ik==1) THEN |
423 |
|
|
DO j = 1, jjm + 1 |
424 |
|
|
rlatu(j) = ylat(j) |
425 |
|
|
END DO |
426 |
|
|
ELSE IF (ik==2) THEN |
427 |
|
|
DO j = 1, jjm |
428 |
|
|
rlatv(j) = ylat(j) |
429 |
|
|
END DO |
430 |
|
|
ELSE IF (ik==3) THEN |
431 |
|
|
DO j = 1, jjm |
432 |
|
|
rlatu2(j) = ylat(j) |
433 |
|
|
yprimu2(j) = yprim(j) |
434 |
|
|
END DO |
435 |
|
|
ELSE IF (ik==4) THEN |
436 |
|
|
DO j = 1, jjm |
437 |
|
|
rlatu1(j) = ylat(j) |
438 |
|
|
yprimu1(j) = yprim(j) |
439 |
|
|
END DO |
440 |
|
|
END IF |
441 |
|
|
END DO loop_ik |
442 |
|
|
|
443 |
|
|
DO j = 1, jjm |
444 |
|
|
ylat(j) = rlatu(j) - rlatu(j + 1) |
445 |
|
|
END DO |
446 |
|
|
|
447 |
|
|
DO j = 1, jjm |
448 |
|
|
IF (rlatu1(j) <= rlatu2(j)) THEN |
449 |
|
|
print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j |
450 |
|
|
STOP 13 |
451 |
|
|
ENDIF |
452 |
|
|
|
453 |
|
|
IF (rlatu2(j) <= rlatu(j+1)) THEN |
454 |
|
|
print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j |
455 |
|
|
STOP 14 |
456 |
|
|
ENDIF |
457 |
|
|
|
458 |
|
|
IF (rlatu(j) <= rlatu1(j)) THEN |
459 |
|
|
print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j |
460 |
|
|
STOP 15 |
461 |
|
|
ENDIF |
462 |
|
|
|
463 |
|
|
IF (rlatv(j) <= rlatu2(j)) THEN |
464 |
|
|
print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j |
465 |
|
|
STOP 16 |
466 |
|
|
ENDIF |
467 |
|
|
|
468 |
|
|
IF (rlatv(j) >= rlatu1(j)) THEN |
469 |
|
|
print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j |
470 |
|
|
STOP 17 |
471 |
|
|
ENDIF |
472 |
|
|
|
473 |
|
|
IF (rlatv(j) >= rlatu(j)) THEN |
474 |
|
|
print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j |
475 |
|
|
STOP 18 |
476 |
|
|
ENDIF |
477 |
|
|
ENDDO |
478 |
|
|
|
479 |
|
|
print *, 'Latitudes' |
480 |
|
|
print 3, minval(ylat(:jjm)) *180d0/pi, maxval(ylat(:jjm))*180d0/pi |
481 |
|
|
|
482 |
|
|
3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & |
483 |
|
|
' d environ ', f0.2, ' degres ', /, & |
484 |
|
|
' alors que la maille en dehors de la zone du zoom est ', & |
485 |
|
|
"d'environ ", f0.2, ' degres ') |
486 |
|
|
|
487 |
|
|
rlatu(1) = pi / 2. |
488 |
|
|
rlatu(jjm + 1) = -rlatu(1) |
489 |
|
|
|
490 |
|
|
END SUBROUTINE fyhyp |
491 |
|
|
|
492 |
|
|
!******************************************************************** |
493 |
|
|
|
494 |
|
|
SUBROUTINE fxhyp |
495 |
|
|
|
496 |
|
|
! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32 |
497 |
|
|
! Author: P. Le Van, from formulas by R. Sadourny |
498 |
|
|
|
499 |
guez |
313 |
! Compute xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025. |
500 |
guez |
277 |
|
501 |
|
|
! Calcule les longitudes et dérivées dans la grille du GCM pour |
502 |
guez |
311 |
! une fonction $x_f(\tilde x)$ à dérivée tangente hyperbolique. |
503 |
guez |
277 |
|
504 |
guez |
311 |
! Il vaut mieux avoir : grossismx $\times$ delta < pi |
505 |
guez |
277 |
|
506 |
|
|
! Le premier point scalaire pour une grille regulière (grossismx = |
507 |
|
|
! 1) avec clon = 0 est à - 180 degrés. |
508 |
|
|
|
509 |
guez |
278 |
use nr_util, only: pi, pi_d, twopi, twopi_d, arth, assert, rad_to_deg |
510 |
|
|
|
511 |
guez |
277 |
USE dimensions, ONLY: iim |
512 |
guez |
313 |
use dynetat0_chosen_m, only: clon, grossismx, dzoomx, taux |
513 |
guez |
314 |
use invert_zoom_x_m, only: invert_zoom_x |
514 |
|
|
use principal_cshift_m, only: principal_cshift |
515 |
guez |
277 |
use tanh_cautious_m, only: tanh_cautious |
516 |
|
|
|
517 |
|
|
! Local: |
518 |
|
|
real rlonm025(iim + 1), rlonp025(iim + 1), d_rlonv(iim) |
519 |
|
|
REAL delta, h |
520 |
|
|
DOUBLE PRECISION, dimension(0:nmax):: xtild, fhyp, G, Xf, ffdx |
521 |
|
|
DOUBLE PRECISION beta |
522 |
|
|
INTEGER i, is2 |
523 |
|
|
DOUBLE PRECISION xmoy(nmax), fxm(nmax) |
524 |
|
|
|
525 |
|
|
!---------------------------------------------------------------------- |
526 |
|
|
|
527 |
|
|
print *, "Call sequence information: fxhyp" |
528 |
|
|
|
529 |
|
|
if (grossismx == 1.) then |
530 |
|
|
h = twopi / iim |
531 |
|
|
|
532 |
|
|
xprimm025(:iim) = h |
533 |
|
|
xprimp025(:iim) = h |
534 |
|
|
xprimv(:iim) = h |
535 |
|
|
xprimu(:iim) = h |
536 |
|
|
|
537 |
|
|
rlonv(:iim) = arth(- pi + clon, h, iim) |
538 |
|
|
rlonm025(:iim) = rlonv(:iim) - 0.25 * h |
539 |
|
|
rlonp025(:iim) = rlonv(:iim) + 0.25 * h |
540 |
|
|
rlonu(:iim) = rlonv(:iim) + 0.5 * h |
541 |
|
|
else |
542 |
|
|
delta = dzoomx * twopi_d |
543 |
|
|
xtild = arth(0d0, pi_d / nmax, nmax + 1) |
544 |
|
|
forall (i = 1:nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i)) |
545 |
|
|
|
546 |
|
|
! Compute fhyp: |
547 |
|
|
fhyp(1:nmax - 1) = tanh_cautious(taux * (delta / 2d0 & |
548 |
|
|
- xtild(1:nmax - 1)), xtild(1:nmax - 1) & |
549 |
|
|
* (pi_d - xtild(1:nmax - 1))) |
550 |
|
|
fhyp(0) = 1d0 |
551 |
|
|
fhyp(nmax) = -1d0 |
552 |
|
|
|
553 |
|
|
fxm = tanh_cautious(taux * (delta / 2d0 - xmoy), xmoy * (pi_d - xmoy)) |
554 |
|
|
|
555 |
|
|
! Compute \int_0 ^{\tilde x} F: |
556 |
|
|
|
557 |
|
|
ffdx(0) = 0d0 |
558 |
|
|
|
559 |
|
|
DO i = 1, nmax |
560 |
|
|
ffdx(i) = ffdx(i - 1) + fxm(i) * (xtild(i) - xtild(i-1)) |
561 |
|
|
END DO |
562 |
|
|
|
563 |
|
|
print *, "ffdx(nmax) = ", ffdx(nmax) |
564 |
|
|
beta = (pi_d - grossismx * ffdx(nmax)) / (pi_d - ffdx(nmax)) |
565 |
|
|
print *, "beta = ", beta |
566 |
|
|
|
567 |
|
|
IF (2d0 * beta - grossismx <= 0d0) THEN |
568 |
|
|
print *, 'Bad choice of grossismx, taux, dzoomx.' |
569 |
|
|
print *, 'Decrease dzoomx or grossismx.' |
570 |
|
|
STOP 1 |
571 |
|
|
END IF |
572 |
|
|
|
573 |
|
|
G = beta + (grossismx - beta) * fhyp |
574 |
|
|
|
575 |
|
|
Xf(:nmax - 1) = beta * xtild(:nmax - 1) + (grossismx - beta) & |
576 |
|
|
* ffdx(:nmax - 1) |
577 |
|
|
Xf(nmax) = pi_d |
578 |
|
|
|
579 |
|
|
call invert_zoom_x(beta, xf, xtild, G, rlonm025(:iim), xprimm025(:iim), & |
580 |
|
|
xuv = - 0.25d0) |
581 |
|
|
call invert_zoom_x(beta, xf, xtild, G, rlonv(:iim), xprimv(:iim), & |
582 |
|
|
xuv = 0d0) |
583 |
|
|
call invert_zoom_x(beta, xf, xtild, G, rlonu(:iim), xprimu(:iim), & |
584 |
|
|
xuv = 0.5d0) |
585 |
|
|
call invert_zoom_x(beta, xf, xtild, G, rlonp025(:iim), xprimp025(:iim), & |
586 |
|
|
xuv = 0.25d0) |
587 |
|
|
end if |
588 |
|
|
|
589 |
|
|
is2 = 0 |
590 |
|
|
|
591 |
|
|
IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
592 |
|
|
.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
593 |
|
|
IF (clon <= 0.) THEN |
594 |
|
|
is2 = 1 |
595 |
|
|
|
596 |
|
|
do while (rlonm025(is2) < - pi .and. is2 < iim) |
597 |
|
|
is2 = is2 + 1 |
598 |
|
|
end do |
599 |
|
|
|
600 |
guez |
278 |
call assert(rlonm025(is2) >= - pi, & |
601 |
|
|
"fxhyp -- rlonm025 should be >= - pi") |
602 |
guez |
277 |
ELSE |
603 |
|
|
is2 = iim |
604 |
|
|
|
605 |
|
|
do while (rlonm025(is2) > pi .and. is2 > 1) |
606 |
|
|
is2 = is2 - 1 |
607 |
|
|
end do |
608 |
|
|
|
609 |
|
|
if (rlonm025(is2) > pi) then |
610 |
|
|
print *, 'Rlonm025 plus grand que pi !' |
611 |
|
|
STOP 1 |
612 |
|
|
end if |
613 |
|
|
END IF |
614 |
|
|
END IF |
615 |
|
|
|
616 |
|
|
call principal_cshift(is2, rlonm025, xprimm025) |
617 |
|
|
call principal_cshift(is2, rlonv, xprimv) |
618 |
|
|
call principal_cshift(is2, rlonu, xprimu) |
619 |
|
|
call principal_cshift(is2, rlonp025, xprimp025) |
620 |
|
|
|
621 |
|
|
forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
622 |
guez |
278 |
print *, "Minimum longitude step:", MINval(d_rlonv) * rad_to_deg, "degrees" |
623 |
|
|
print *, "Maximum longitude step:", MAXval(d_rlonv) * rad_to_deg, "degrees" |
624 |
guez |
277 |
|
625 |
|
|
! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu: |
626 |
|
|
DO i = 1, iim + 1 |
627 |
|
|
IF (rlonp025(i) < rlonv(i)) THEN |
628 |
|
|
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
629 |
|
|
print *, "< rlonv(", i, ") = ", rlonv(i) |
630 |
|
|
STOP 1 |
631 |
|
|
END IF |
632 |
|
|
|
633 |
|
|
IF (rlonv(i) < rlonm025(i)) THEN |
634 |
|
|
print *, 'rlonv(', i, ') = ', rlonv(i) |
635 |
|
|
print *, "< rlonm025(", i, ") = ", rlonm025(i) |
636 |
|
|
STOP 1 |
637 |
|
|
END IF |
638 |
|
|
|
639 |
|
|
IF (rlonp025(i) > rlonu(i)) THEN |
640 |
|
|
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
641 |
|
|
print *, "> rlonu(", i, ") = ", rlonu(i) |
642 |
|
|
STOP 1 |
643 |
|
|
END IF |
644 |
|
|
END DO |
645 |
|
|
|
646 |
|
|
END SUBROUTINE fxhyp |
647 |
|
|
|
648 |
guez |
3 |
end module dynetat0_m |