1 |
module dynetat0_m |
module dynetat0_m |
2 |
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3 |
! This module is clean: no C preprocessor directive, no include line. |
use dimensions, only: iim, jjm |
4 |
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5 |
IMPLICIT NONE |
IMPLICIT NONE |
6 |
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7 |
contains |
private iim, jjm, principal_cshift, invert_zoom_x, funcd |
8 |
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9 |
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INTEGER, protected, save:: day_ini |
10 |
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! day number at the beginning of the run, based at value 1 on |
11 |
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! January 1st of annee_ref |
12 |
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13 |
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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 |
15 |
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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 |
18 |
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19 |
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real, protected, save:: rlonu(iim + 1) |
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! longitudes of points of the "u" grid, in rad |
21 |
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22 |
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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 |
24 |
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25 |
SUBROUTINE dynetat0(vcov, ucov, teta, q, masse, ps, phis, time) |
real, protected, save:: xprimu(iim + 1), xprimv(iim + 1) |
26 |
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! 2 pi / iim * (derivative of the longitudinal zoom function)(rlon[uv]) |
27 |
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28 |
! From dynetat0.F, version 1.2 2004/06/22 11:45:30 |
REAL, protected, save:: xprimm025(iim + 1), xprimp025(iim + 1) |
29 |
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REAL, protected, save:: rlatu1(jjm), rlatu2(jjm), yprimu1(jjm), yprimu2(jjm) |
30 |
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REAL, save:: ang0, etot0, ptot0, ztot0, stot0 |
31 |
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INTEGER, PARAMETER, private:: nmax = 30000 |
32 |
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DOUBLE PRECISION, private, save:: abs_y |
33 |
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INTEGER, save:: itau_dyn |
34 |
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35 |
! Authors: P. Le Van, L. Fairhead |
contains |
36 |
! Objet : lecture de l'état initial |
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37 |
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SUBROUTINE dynetat0(vcov, ucov, teta, q, masse, ps, phis) |
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39 |
use dimens_m, only: iim, jjm, llm, nqmx |
! From dynetat0.F, version 1.2, 2004/06/22 11:45:30 |
40 |
use comconst, only: im, cpp, dtvr, g, kappa, jm, lllm, omeg, rad |
! Authors: P. Le Van, L. Fairhead |
41 |
use comvert, only: pa |
! This procedure reads the initial state of the atmosphere. |
42 |
use logic, only: fxyhypb, ysinus |
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43 |
use comgeom, only: rlonu, rlatu, rlonv, rlatv, cu_2d, cv_2d, aire_2d |
! Libraries: |
44 |
use serre, only: clon, clat, grossismy, grossismx |
use netcdf, only: NF90_NOWRITE, NF90_NOERR |
45 |
use temps, only: day_ref, day_ini, itau_dyn, annee_ref |
use netcdf95, only: NF95_GET_VAR, nf95_open, nf95_inq_varid, NF95_CLOSE, & |
46 |
use ener, only: etot0, ang0, ptot0, stot0, ztot0 |
NF95_Gw_VAR |
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use nr_util, only: assert |
48 |
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49 |
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use conf_gcm_m, only: raz_date |
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use dimensions, only: iim, jjm, llm, nqmx |
51 |
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use dynetat0_chosen_m, only: day_ref |
52 |
use iniadvtrac_m, only: tname |
use iniadvtrac_m, only: tname |
53 |
use netcdf95, only: nf95_open, nf95_inq_varid, handle_err, NF95_CLOSE |
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54 |
use netcdf, only: NF90_NOWRITE, NF90_GET_VAR, NF90_NOERR |
REAL, intent(out):: vcov(: , :, :) ! (iim + 1, jjm, llm) |
55 |
use numer_rec, only: assert |
REAL, intent(out):: ucov(:, :, :) ! (iim + 1, jjm + 1, llm) |
56 |
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REAL, intent(out):: teta(:, :, :) ! (iim + 1, jjm + 1, llm) |
57 |
! Arguments: |
REAL, intent(out):: q(:, :, :, :) ! (iim + 1, jjm + 1, llm, nqmx) |
58 |
REAL, intent(out):: vcov(: , :), ucov(:, :), teta(:, :) |
REAL, intent(out):: masse(:, :, :) ! (iim + 1, jjm + 1, llm) |
59 |
REAL, intent(out):: q(:, :, :), masse(:, :) |
REAL, intent(out):: ps(:, :) ! (iim + 1, jjm + 1) in Pa |
60 |
REAL, intent(out):: ps(:) ! in Pa |
REAL, intent(out):: phis(:, :) ! (iim + 1, jjm + 1) |
61 |
REAL, intent(out):: phis(:, :) |
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62 |
REAL, intent(out):: time |
! Local variables: |
63 |
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INTEGER iq |
64 |
! Variables |
REAL, allocatable:: tab_cntrl(:) ! tableau des param\`etres du run |
65 |
INTEGER length, iq |
INTEGER ierr, ncid, varid |
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PARAMETER (length = 100) |
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REAL tab_cntrl(length) ! tableau des parametres du run |
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INTEGER ierr, nid, nvarid |
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!----------------------------------------------------------------------- |
!----------------------------------------------------------------------- |
68 |
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69 |
print *, "Call sequence information: dynetat0" |
print *, "Call sequence information: dynetat0" |
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71 |
call assert(size(vcov, 1) == (iim + 1) * jjm, "dynetat0 vcov 1") |
call assert((/size(ucov, 1), size(vcov, 1), size(masse, 1), size(ps, 1), & |
72 |
call assert((/size(ucov, 1), size(teta, 1), size(q, 1), size(masse, 1), & |
size(phis, 1), size(q, 1), size(teta, 1)/) == iim + 1, "dynetat0 iim") |
73 |
size(ps)/) == (iim + 1) * (jjm + 1), "dynetat0 (iim + 1) * (jjm + 1)") |
call assert((/size(ucov, 2), size(vcov, 2) + 1, size(masse, 2), & |
74 |
call assert(shape(phis) == (/iim + 1, jjm + 1/), "dynetat0 phis") |
size(ps, 2), size(phis, 2), size(q, 2), size(teta, 2)/) == jjm + 1, & |
75 |
call assert((/size(vcov, 2), size(ucov, 2), size(teta, 2), size(q, 2), & |
"dynetat0 jjm") |
76 |
size(masse, 2)/) == llm, "dynetat0 llm") |
call assert((/size(vcov, 3), size(ucov, 3), size(teta, 3), size(q, 3), & |
77 |
call assert(size(q, 3) == nqmx, "dynetat0 q 3") |
size(masse, 3)/) == llm, "dynetat0 llm") |
78 |
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call assert(size(q, 4) == nqmx, "dynetat0 q nqmx") |
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! Fichier état initial : |
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call nf95_open("start.nc", NF90_NOWRITE, nid) |
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call nf95_inq_varid(nid, "controle", nvarid) |
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ierr = NF90_GET_VAR(nid, nvarid, tab_cntrl) |
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call handle_err("dynetat0, controle", ierr, nid) |
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im = int(tab_cntrl(1)) |
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jm = int(tab_cntrl(2)) |
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lllm = int(tab_cntrl(3)) |
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day_ref = int(tab_cntrl(4)) |
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annee_ref = int(tab_cntrl(5)) |
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omeg = tab_cntrl(7) |
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dtvr = tab_cntrl(12) |
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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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pa = tab_cntrl(18) |
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clon = tab_cntrl(20) |
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clat = tab_cntrl(21) |
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grossismx = tab_cntrl(22) |
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grossismy = tab_cntrl(23) |
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IF (tab_cntrl(24) == 1.) THEN |
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fxyhypb = .TRUE. |
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ELSE |
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fxyhypb = .FALSE. |
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ysinus = .FALSE. |
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IF (tab_cntrl(27) == 1.) ysinus = .TRUE. |
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ENDIF |
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day_ini = tab_cntrl(30) |
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itau_dyn = tab_cntrl(31) |
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PRINT *, 'rad = ', rad |
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PRINT *, 'omeg = ', omeg |
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PRINT *, 'g = ', g |
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PRINT *, 'cpp = ', cpp |
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PRINT *, 'kappa = ', kappa |
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79 |
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80 |
IF (im /= iim) THEN |
! Fichier \'etat initial : |
81 |
PRINT 1, im, iim |
call nf95_open("start.nc", NF90_NOWRITE, ncid) |
82 |
STOP 1 |
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83 |
ELSE IF (jm /= jjm) THEN |
call nf95_inq_varid(ncid, "controle", varid) |
84 |
PRINT 2, jm, jjm |
call NF95_Gw_VAR(ncid, varid, tab_cntrl) |
85 |
STOP 1 |
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86 |
ELSE IF (lllm /= llm) THEN |
etot0 = tab_cntrl(13) |
87 |
PRINT 3, lllm, llm |
ptot0 = tab_cntrl(14) |
88 |
STOP 1 |
ztot0 = tab_cntrl(15) |
89 |
ENDIF |
stot0 = tab_cntrl(16) |
90 |
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ang0 = tab_cntrl(17) |
91 |
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92 |
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if (raz_date) then |
93 |
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print *, 'Resetting the date.' |
94 |
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day_ini = day_ref |
95 |
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itau_dyn = 0 |
96 |
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else |
97 |
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itau_dyn = tab_cntrl(31) |
98 |
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day_ini = tab_cntrl(30) |
99 |
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end if |
100 |
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101 |
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print *, "day_ini = ", day_ini |
102 |
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103 |
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call NF95_INQ_VARID (ncid, "rlonu", varid) |
104 |
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call NF95_GET_VAR(ncid, varid, rlonu) |
105 |
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106 |
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call NF95_INQ_VARID (ncid, "rlatu", varid) |
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call NF95_GET_VAR(ncid, varid, rlatu) |
108 |
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109 |
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call NF95_INQ_VARID (ncid, "rlonv", varid) |
110 |
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call NF95_GET_VAR(ncid, varid, rlonv) |
111 |
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112 |
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call NF95_INQ_VARID (ncid, "rlatv", varid) |
113 |
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call NF95_GET_VAR(ncid, varid, rlatv) |
114 |
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115 |
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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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118 |
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CALL nf95_inq_varid(ncid, 'xprimv', varid) |
119 |
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CALL nf95_get_var(ncid, varid, xprimv) |
120 |
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121 |
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CALL nf95_inq_varid(ncid, 'xprimm025', varid) |
122 |
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CALL nf95_get_var(ncid, varid, xprimm025) |
123 |
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124 |
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CALL nf95_inq_varid(ncid, 'xprimp025', varid) |
125 |
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CALL nf95_get_var(ncid, varid, xprimp025) |
126 |
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127 |
call NF95_INQ_VARID (nid, "rlonu", nvarid) |
call NF95_INQ_VARID (ncid, "rlatu1", varid) |
128 |
ierr = NF90_GET_VAR(nid, nvarid, rlonu) |
call NF95_GET_VAR(ncid, varid, rlatu1) |
129 |
call handle_err("dynetat0, rlonu", ierr, nid) |
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130 |
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call NF95_INQ_VARID (ncid, "rlatu2", varid) |
131 |
call NF95_INQ_VARID (nid, "rlatu", nvarid) |
call NF95_GET_VAR(ncid, varid, rlatu2) |
132 |
ierr = NF90_GET_VAR(nid, nvarid, rlatu) |
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133 |
call handle_err("dynetat0, rlatu", ierr, nid) |
CALL nf95_inq_varid(ncid, 'yprimu1', varid) |
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CALL nf95_get_var(ncid, varid, yprimu1) |
135 |
call NF95_INQ_VARID (nid, "rlonv", nvarid) |
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136 |
ierr = NF90_GET_VAR(nid, nvarid, rlonv) |
CALL nf95_inq_varid(ncid, 'yprimu2', varid) |
137 |
call handle_err("dynetat0, rlonv", ierr, nid) |
CALL nf95_get_var(ncid, varid, yprimu2) |
138 |
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139 |
call NF95_INQ_VARID (nid, "rlatv", nvarid) |
call NF95_INQ_VARID (ncid, "phis", varid) |
140 |
ierr = NF90_GET_VAR(nid, nvarid, rlatv) |
call NF95_GET_VAR(ncid, varid, phis) |
141 |
call handle_err("dynetat0, rlatv", ierr, nid) |
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142 |
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call NF95_INQ_VARID (ncid, "ucov", varid) |
143 |
call NF95_INQ_VARID (nid, "cu", nvarid) |
call NF95_GET_VAR(ncid, varid, ucov) |
144 |
ierr = NF90_GET_VAR(nid, nvarid, cu_2d) |
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145 |
call handle_err("dynetat0, cu", ierr, nid) |
call NF95_INQ_VARID (ncid, "vcov", varid) |
146 |
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call NF95_GET_VAR(ncid, varid, vcov) |
147 |
call NF95_INQ_VARID (nid, "cv", nvarid) |
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148 |
ierr = NF90_GET_VAR(nid, nvarid, cv_2d) |
call NF95_INQ_VARID (ncid, "teta", varid) |
149 |
call handle_err("dynetat0, cv", ierr, nid) |
call NF95_GET_VAR(ncid, varid, teta) |
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call NF95_INQ_VARID (nid, "aire", nvarid) |
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ierr = NF90_GET_VAR(nid, nvarid, aire_2d) |
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call handle_err("dynetat0, aire", ierr, nid) |
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call NF95_INQ_VARID (nid, "phisinit", nvarid) |
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ierr = NF90_GET_VAR(nid, nvarid, phis) |
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call handle_err("dynetat0, phisinit", ierr, nid) |
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call NF95_INQ_VARID (nid, "temps", nvarid) |
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ierr = NF90_GET_VAR(nid, nvarid, time) |
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call handle_err("dynetat0, temps", ierr, nid) |
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call NF95_INQ_VARID (nid, "ucov", nvarid) |
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ierr = NF90_GET_VAR(nid, nvarid, ucov, count=(/iim + 1, jjm + 1, llm/)) |
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call handle_err("dynetat0, ucov", ierr, nid) |
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call NF95_INQ_VARID (nid, "vcov", nvarid) |
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ierr = NF90_GET_VAR(nid, nvarid, vcov, count=(/iim + 1, jjm, llm/)) |
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call handle_err("dynetat0, vcov", ierr, nid) |
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call NF95_INQ_VARID (nid, "teta", nvarid) |
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ierr = NF90_GET_VAR(nid, nvarid, teta, count=(/iim + 1, jjm + 1, llm/)) |
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call handle_err("dynetat0, teta", ierr, nid) |
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150 |
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151 |
DO iq = 1, nqmx |
DO iq = 1, nqmx |
152 |
call NF95_INQ_VARID(nid, tname(iq), nvarid, ierr) |
call NF95_INQ_VARID(ncid, tname(iq), varid, ierr) |
153 |
IF (ierr /= NF90_NOERR) THEN |
IF (ierr == NF90_NOERR) THEN |
154 |
PRINT *, 'dynetat0: le champ "' // tname(iq) // '" est absent, ' // & |
call NF95_GET_VAR(ncid, varid, q(:, :, :, iq)) |
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"il est donc initialisé ŕ zéro." |
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q(:, :, iq) = 0. |
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155 |
ELSE |
ELSE |
156 |
ierr = NF90_GET_VAR(nid, nvarid, q(:, :, iq), & |
PRINT *, 'dynetat0: "' // tname(iq) // '" not found, ' // & |
157 |
count=(/iim + 1, jjm + 1, llm/)) |
"setting it to zero..." |
158 |
call handle_err("dynetat0, " // tname(iq), ierr, nid) |
q(:, :, :, iq) = 0. |
159 |
ENDIF |
ENDIF |
160 |
ENDDO |
ENDDO |
161 |
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162 |
call NF95_INQ_VARID (nid, "masse", nvarid) |
call NF95_INQ_VARID (ncid, "masse", varid) |
163 |
ierr = NF90_GET_VAR(nid, nvarid, masse, count=(/iim + 1, jjm + 1, llm/)) |
call NF95_GET_VAR(ncid, varid, masse) |
164 |
call handle_err("dynetat0, masse", ierr, nid) |
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165 |
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call NF95_INQ_VARID (ncid, "ps", varid) |
166 |
call NF95_INQ_VARID (nid, "ps", nvarid) |
call NF95_GET_VAR(ncid, varid, ps) |
167 |
ierr = NF90_GET_VAR(nid, nvarid, ps, count=(/iim + 1, jjm + 1/)) |
! Check that there is a single value at each pole: |
168 |
call handle_err("dynetat0, ps", ierr, nid) |
call assert(ps(1, 1) == ps(2:, 1), "dynetat0 ps north pole") |
169 |
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call assert(ps(1, jjm + 1) == ps(2:, jjm + 1), "dynetat0 ps south pole") |
170 |
call NF95_CLOSE(nid) |
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171 |
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call NF95_CLOSE(ncid) |
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day_ini=day_ini+INT(time) |
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time=time-INT(time) |
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1 FORMAT(//10x, 'la valeur de im =', i4, 2x, & |
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'lue sur le fichier de demarrage est differente de la valeur ' & |
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// 'parametree iim =', i4//) |
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2 FORMAT(//10x, 'la valeur de jm =', i4, 2x, & |
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'lue sur le fichier de demarrage est differente de la valeur ' & |
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// 'parametree jjm =', i4//) |
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3 FORMAT(//10x, 'la valeur de lmax =', i4, 2x, & |
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'lue sur le fichier demarrage est differente de la valeur ' & |
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// 'parametree llm =', i4//) |
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172 |
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173 |
END SUBROUTINE dynetat0 |
END SUBROUTINE dynetat0 |
174 |
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175 |
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!******************************************************************** |
176 |
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177 |
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SUBROUTINE fyhyp |
178 |
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179 |
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! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 |
180 |
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181 |
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! Author: P. Le Van, from analysis by R. Sadourny |
182 |
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183 |
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! Define rlatu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1. |
184 |
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185 |
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! Calcule les latitudes et dérivées dans la grille du GCM pour une |
186 |
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! fonction f(y) à dérivée tangente hyperbolique. |
187 |
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188 |
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! Il vaut mieux avoir : grossismy * dzoom < pi / 2 |
189 |
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190 |
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use coefpoly_m, only: coefpoly, a0, a1, a2, a3 |
191 |
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USE dimensions, only: jjm |
192 |
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use dynetat0_chosen_m, only: clat, grossismy, dzoomy, tauy |
193 |
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use heavyside_m, only: heavyside |
194 |
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195 |
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! Local: |
196 |
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197 |
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INTEGER, PARAMETER:: nmax=30000, nmax2=2*nmax |
198 |
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REAL dzoom ! distance totale de la zone du zoom (en radians) |
199 |
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DOUBLE PRECISION ylat(jjm + 1), yprim(jjm + 1) |
200 |
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DOUBLE PRECISION yuv |
201 |
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DOUBLE PRECISION, save:: yt(0:nmax2) |
202 |
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DOUBLE PRECISION fhyp(0:nmax2), beta |
203 |
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DOUBLE PRECISION, save:: ytprim(0:nmax2) |
204 |
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DOUBLE PRECISION fxm(0:nmax2) |
205 |
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DOUBLE PRECISION, save:: yf(0:nmax2) |
206 |
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DOUBLE PRECISION yypr(0:nmax2) |
207 |
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DOUBLE PRECISION yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) |
208 |
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DOUBLE PRECISION pi, pis2, epsilon, pisjm |
209 |
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DOUBLE PRECISION yo1, yi, ylon2, ymoy, yprimin |
210 |
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DOUBLE PRECISION yfi, yf1, ffdy |
211 |
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DOUBLE PRECISION ypn |
212 |
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DOUBLE PRECISION, save::deply, y00 |
213 |
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214 |
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INTEGER i, j, it, ik, iter, jlat, jjpn |
215 |
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INTEGER, save:: jpn |
216 |
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DOUBLE PRECISION yi2, heavyy0, heavyy0m |
217 |
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DOUBLE PRECISION fa(0:nmax2), fb(0:nmax2) |
218 |
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REAL y0min, y0max |
219 |
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220 |
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!------------------------------------------------------------------- |
221 |
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222 |
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print *, "Call sequence information: fyhyp" |
223 |
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224 |
|
pi = 2.*asin(1.) |
225 |
|
pis2 = pi/2. |
226 |
|
pisjm = pi/real(jjm) |
227 |
|
epsilon = 1e-3 |
228 |
|
dzoom = dzoomy*pi |
229 |
|
|
230 |
|
DO i = 0, nmax2 |
231 |
|
yt(i) = -pis2 + real(i)*pi/nmax2 |
232 |
|
END DO |
233 |
|
|
234 |
|
heavyy0m = heavyside(-clat) |
235 |
|
heavyy0 = heavyside(clat) |
236 |
|
y0min = 2.*clat*heavyy0m - pis2 |
237 |
|
y0max = 2.*clat*heavyy0 + pis2 |
238 |
|
|
239 |
|
fa = 999.999 |
240 |
|
fb = 999.999 |
241 |
|
|
242 |
|
DO i = 0, nmax2 |
243 |
|
IF (yt(i)<clat) THEN |
244 |
|
fa(i) = tauy*(yt(i)-clat + dzoom/2.) |
245 |
|
fb(i) = (yt(i)-2.*clat*heavyy0m + pis2)*(clat-yt(i)) |
246 |
|
ELSE IF (yt(i)>clat) THEN |
247 |
|
fa(i) = tauy*(clat-yt(i) + dzoom/2.) |
248 |
|
fb(i) = (2.*clat*heavyy0-yt(i) + pis2)*(yt(i)-clat) |
249 |
|
END IF |
250 |
|
|
251 |
|
IF (200.*fb(i)<-fa(i)) THEN |
252 |
|
fhyp(i) = -1. |
253 |
|
ELSE IF (200.*fb(i)<fa(i)) THEN |
254 |
|
fhyp(i) = 1. |
255 |
|
ELSE |
256 |
|
fhyp(i) = tanh(fa(i)/fb(i)) |
257 |
|
END IF |
258 |
|
|
259 |
|
IF (yt(i)==clat) fhyp(i) = 1. |
260 |
|
IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
261 |
|
END DO |
262 |
|
|
263 |
|
! Calcul de beta |
264 |
|
|
265 |
|
ffdy = 0. |
266 |
|
|
267 |
|
DO i = 1, nmax2 |
268 |
|
ymoy = 0.5*(yt(i-1) + yt(i)) |
269 |
|
IF (ymoy<clat) THEN |
270 |
|
fa(i) = tauy*(ymoy-clat + dzoom/2.) |
271 |
|
fb(i) = (ymoy-2.*clat*heavyy0m + pis2)*(clat-ymoy) |
272 |
|
ELSE IF (ymoy>clat) THEN |
273 |
|
fa(i) = tauy*(clat-ymoy + dzoom/2.) |
274 |
|
fb(i) = (2.*clat*heavyy0-ymoy + pis2)*(ymoy-clat) |
275 |
|
END IF |
276 |
|
|
277 |
|
IF (200.*fb(i)<-fa(i)) THEN |
278 |
|
fxm(i) = -1. |
279 |
|
ELSE IF (200.*fb(i)<fa(i)) THEN |
280 |
|
fxm(i) = 1. |
281 |
|
ELSE |
282 |
|
fxm(i) = tanh(fa(i)/fb(i)) |
283 |
|
END IF |
284 |
|
IF (ymoy==clat) fxm(i) = 1. |
285 |
|
IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
286 |
|
ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) |
287 |
|
END DO |
288 |
|
|
289 |
|
beta = (grossismy*ffdy-pi)/(ffdy-pi) |
290 |
|
|
291 |
|
IF (2. * beta - grossismy <= 0.) THEN |
292 |
|
print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & |
293 |
|
// 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & |
294 |
|
// 'dzoomy et relancer.' |
295 |
|
STOP 1 |
296 |
|
END IF |
297 |
|
|
298 |
|
! calcul de Ytprim |
299 |
|
|
300 |
|
DO i = 0, nmax2 |
301 |
|
ytprim(i) = beta + (grossismy-beta)*fhyp(i) |
302 |
|
END DO |
303 |
|
|
304 |
|
! Calcul de Yf |
305 |
|
|
306 |
|
yf(0) = -pis2 |
307 |
|
DO i = 1, nmax2 |
308 |
|
yypr(i) = beta + (grossismy-beta)*fxm(i) |
309 |
|
END DO |
310 |
|
|
311 |
|
DO i = 1, nmax2 |
312 |
|
yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) |
313 |
|
END DO |
314 |
|
|
315 |
|
! yuv = 0. si calcul des latitudes aux pts. U |
316 |
|
! yuv = 0.5 si calcul des latitudes aux pts. V |
317 |
|
|
318 |
|
loop_ik: DO ik = 1, 4 |
319 |
|
IF (ik==1) THEN |
320 |
|
yuv = 0. |
321 |
|
jlat = jjm + 1 |
322 |
|
ELSE IF (ik==2) THEN |
323 |
|
yuv = 0.5 |
324 |
|
jlat = jjm |
325 |
|
ELSE IF (ik==3) THEN |
326 |
|
yuv = 0.25 |
327 |
|
jlat = jjm |
328 |
|
ELSE IF (ik==4) THEN |
329 |
|
yuv = 0.75 |
330 |
|
jlat = jjm |
331 |
|
END IF |
332 |
|
|
333 |
|
yo1 = 0. |
334 |
|
DO j = 1, jlat |
335 |
|
yo1 = 0. |
336 |
|
ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) |
337 |
|
yfi = ylon2 |
338 |
|
|
339 |
|
it = nmax2 |
340 |
|
DO while (it >= 1 .and. yfi < yf(it)) |
341 |
|
it = it - 1 |
342 |
|
END DO |
343 |
|
|
344 |
|
yi = yt(it) |
345 |
|
IF (it==nmax2) THEN |
346 |
|
it = nmax2 - 1 |
347 |
|
yf(it + 1) = pis2 |
348 |
|
END IF |
349 |
|
|
350 |
|
! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) |
351 |
|
! et Y'(yi) |
352 |
|
|
353 |
|
CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & |
354 |
|
yt(it), yt(it + 1)) |
355 |
|
|
356 |
|
yf1 = yf(it) |
357 |
|
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
358 |
|
|
359 |
|
iter = 1 |
360 |
|
DO |
361 |
|
yi = yi - (yf1-yfi)/yprimin |
362 |
|
IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
363 |
|
yo1 = yi |
364 |
|
yi2 = yi*yi |
365 |
|
yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi |
366 |
|
yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 |
367 |
|
END DO |
368 |
|
if (abs(yi-yo1) > epsilon) then |
369 |
|
print *, 'Pas de solution.', j, ylon2 |
370 |
|
STOP 1 |
371 |
|
end if |
372 |
|
|
373 |
|
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
374 |
|
yprim(j) = pi/(jjm*yprimin) |
375 |
|
yvrai(j) = yi |
376 |
|
END DO |
377 |
|
|
378 |
|
DO j = 1, jlat - 1 |
379 |
|
IF (yvrai(j + 1)<yvrai(j)) THEN |
380 |
|
print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & |
381 |
|
j, ')' |
382 |
|
STOP 1 |
383 |
|
END IF |
384 |
|
END DO |
385 |
|
|
386 |
|
print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' |
387 |
|
|
388 |
|
IF (ik==1) THEN |
389 |
|
ypn = pis2 |
390 |
|
DO j = jjm + 1, 1, -1 |
391 |
|
IF (yvrai(j)<=ypn) exit |
392 |
|
END DO |
393 |
|
|
394 |
|
jpn = j |
395 |
|
y00 = yvrai(jpn) |
396 |
|
deply = pis2 - y00 |
397 |
|
END IF |
398 |
|
|
399 |
|
DO j = 1, jjm + 1 - jpn |
400 |
|
ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) |
401 |
|
yprimm(j) = yprim(jpn + j-1) |
402 |
|
END DO |
403 |
|
|
404 |
|
jjpn = jpn |
405 |
|
IF (jlat==jjm) jjpn = jpn - 1 |
406 |
|
|
407 |
|
DO j = 1, jjpn |
408 |
|
ylatt(j + jjm + 1-jpn) = yvrai(j) + deply |
409 |
|
yprimm(j + jjm + 1-jpn) = yprim(j) |
410 |
|
END DO |
411 |
|
|
412 |
|
! Fin de la reorganisation |
413 |
|
|
414 |
|
DO j = 1, jlat |
415 |
|
ylat(j) = ylatt(jlat + 1-j) |
416 |
|
yprim(j) = yprimm(jlat + 1-j) |
417 |
|
END DO |
418 |
|
|
419 |
|
DO j = 1, jlat |
420 |
|
yvrai(j) = ylat(j)*180./pi |
421 |
|
END DO |
422 |
|
|
423 |
|
IF (ik==1) THEN |
424 |
|
DO j = 1, jjm + 1 |
425 |
|
rlatu(j) = ylat(j) |
426 |
|
END DO |
427 |
|
ELSE IF (ik==2) THEN |
428 |
|
DO j = 1, jjm |
429 |
|
rlatv(j) = ylat(j) |
430 |
|
END DO |
431 |
|
ELSE IF (ik==3) THEN |
432 |
|
DO j = 1, jjm |
433 |
|
rlatu2(j) = ylat(j) |
434 |
|
yprimu2(j) = yprim(j) |
435 |
|
END DO |
436 |
|
ELSE IF (ik==4) THEN |
437 |
|
DO j = 1, jjm |
438 |
|
rlatu1(j) = ylat(j) |
439 |
|
yprimu1(j) = yprim(j) |
440 |
|
END DO |
441 |
|
END IF |
442 |
|
END DO loop_ik |
443 |
|
|
444 |
|
DO j = 1, jjm |
445 |
|
ylat(j) = rlatu(j) - rlatu(j + 1) |
446 |
|
END DO |
447 |
|
|
448 |
|
DO j = 1, jjm |
449 |
|
IF (rlatu1(j) <= rlatu2(j)) THEN |
450 |
|
print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j |
451 |
|
STOP 13 |
452 |
|
ENDIF |
453 |
|
|
454 |
|
IF (rlatu2(j) <= rlatu(j+1)) THEN |
455 |
|
print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j |
456 |
|
STOP 14 |
457 |
|
ENDIF |
458 |
|
|
459 |
|
IF (rlatu(j) <= rlatu1(j)) THEN |
460 |
|
print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j |
461 |
|
STOP 15 |
462 |
|
ENDIF |
463 |
|
|
464 |
|
IF (rlatv(j) <= rlatu2(j)) THEN |
465 |
|
print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j |
466 |
|
STOP 16 |
467 |
|
ENDIF |
468 |
|
|
469 |
|
IF (rlatv(j) >= rlatu1(j)) THEN |
470 |
|
print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j |
471 |
|
STOP 17 |
472 |
|
ENDIF |
473 |
|
|
474 |
|
IF (rlatv(j) >= rlatu(j)) THEN |
475 |
|
print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j |
476 |
|
STOP 18 |
477 |
|
ENDIF |
478 |
|
ENDDO |
479 |
|
|
480 |
|
print *, 'Latitudes' |
481 |
|
print 3, minval(ylat(:jjm)) *180d0/pi, maxval(ylat(:jjm))*180d0/pi |
482 |
|
|
483 |
|
3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & |
484 |
|
' d environ ', f0.2, ' degres ', /, & |
485 |
|
' alors que la maille en dehors de la zone du zoom est ', & |
486 |
|
"d'environ ", f0.2, ' degres ') |
487 |
|
|
488 |
|
rlatu(1) = pi / 2. |
489 |
|
rlatu(jjm + 1) = -rlatu(1) |
490 |
|
|
491 |
|
END SUBROUTINE fyhyp |
492 |
|
|
493 |
|
!******************************************************************** |
494 |
|
|
495 |
|
SUBROUTINE fxhyp |
496 |
|
|
497 |
|
! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32 |
498 |
|
! Author: P. Le Van, from formulas by R. Sadourny |
499 |
|
|
500 |
|
! Compute xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025. |
501 |
|
|
502 |
|
! Calcule les longitudes et dérivées dans la grille du GCM pour |
503 |
|
! une fonction $x_f(\tilde x)$ à dérivée tangente hyperbolique. |
504 |
|
|
505 |
|
! Il vaut mieux avoir : grossismx $\times$ delta < pi |
506 |
|
|
507 |
|
! Le premier point scalaire pour une grille regulière (grossismx = |
508 |
|
! 1) avec clon = 0 est à - 180 degrés. |
509 |
|
|
510 |
|
use nr_util, only: pi, pi_d, twopi, twopi_d, arth, assert, rad_to_deg |
511 |
|
|
512 |
|
USE dimensions, ONLY: iim |
513 |
|
use dynetat0_chosen_m, only: clon, grossismx, dzoomx, taux |
514 |
|
use tanh_cautious_m, only: tanh_cautious |
515 |
|
|
516 |
|
! Local: |
517 |
|
real rlonm025(iim + 1), rlonp025(iim + 1), d_rlonv(iim) |
518 |
|
REAL delta, h |
519 |
|
DOUBLE PRECISION, dimension(0:nmax):: xtild, fhyp, G, Xf, ffdx |
520 |
|
DOUBLE PRECISION beta |
521 |
|
INTEGER i, is2 |
522 |
|
DOUBLE PRECISION xmoy(nmax), fxm(nmax) |
523 |
|
|
524 |
|
!---------------------------------------------------------------------- |
525 |
|
|
526 |
|
print *, "Call sequence information: fxhyp" |
527 |
|
|
528 |
|
if (grossismx == 1.) then |
529 |
|
h = twopi / iim |
530 |
|
|
531 |
|
xprimm025(:iim) = h |
532 |
|
xprimp025(:iim) = h |
533 |
|
xprimv(:iim) = h |
534 |
|
xprimu(:iim) = h |
535 |
|
|
536 |
|
rlonv(:iim) = arth(- pi + clon, h, iim) |
537 |
|
rlonm025(:iim) = rlonv(:iim) - 0.25 * h |
538 |
|
rlonp025(:iim) = rlonv(:iim) + 0.25 * h |
539 |
|
rlonu(:iim) = rlonv(:iim) + 0.5 * h |
540 |
|
else |
541 |
|
delta = dzoomx * twopi_d |
542 |
|
xtild = arth(0d0, pi_d / nmax, nmax + 1) |
543 |
|
forall (i = 1:nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i)) |
544 |
|
|
545 |
|
! Compute fhyp: |
546 |
|
fhyp(1:nmax - 1) = tanh_cautious(taux * (delta / 2d0 & |
547 |
|
- xtild(1:nmax - 1)), xtild(1:nmax - 1) & |
548 |
|
* (pi_d - xtild(1:nmax - 1))) |
549 |
|
fhyp(0) = 1d0 |
550 |
|
fhyp(nmax) = -1d0 |
551 |
|
|
552 |
|
fxm = tanh_cautious(taux * (delta / 2d0 - xmoy), xmoy * (pi_d - xmoy)) |
553 |
|
|
554 |
|
! Compute \int_0 ^{\tilde x} F: |
555 |
|
|
556 |
|
ffdx(0) = 0d0 |
557 |
|
|
558 |
|
DO i = 1, nmax |
559 |
|
ffdx(i) = ffdx(i - 1) + fxm(i) * (xtild(i) - xtild(i-1)) |
560 |
|
END DO |
561 |
|
|
562 |
|
print *, "ffdx(nmax) = ", ffdx(nmax) |
563 |
|
beta = (pi_d - grossismx * ffdx(nmax)) / (pi_d - ffdx(nmax)) |
564 |
|
print *, "beta = ", beta |
565 |
|
|
566 |
|
IF (2d0 * beta - grossismx <= 0d0) THEN |
567 |
|
print *, 'Bad choice of grossismx, taux, dzoomx.' |
568 |
|
print *, 'Decrease dzoomx or grossismx.' |
569 |
|
STOP 1 |
570 |
|
END IF |
571 |
|
|
572 |
|
G = beta + (grossismx - beta) * fhyp |
573 |
|
|
574 |
|
Xf(:nmax - 1) = beta * xtild(:nmax - 1) + (grossismx - beta) & |
575 |
|
* ffdx(:nmax - 1) |
576 |
|
Xf(nmax) = pi_d |
577 |
|
|
578 |
|
call invert_zoom_x(beta, xf, xtild, G, rlonm025(:iim), xprimm025(:iim), & |
579 |
|
xuv = - 0.25d0) |
580 |
|
call invert_zoom_x(beta, xf, xtild, G, rlonv(:iim), xprimv(:iim), & |
581 |
|
xuv = 0d0) |
582 |
|
call invert_zoom_x(beta, xf, xtild, G, rlonu(:iim), xprimu(:iim), & |
583 |
|
xuv = 0.5d0) |
584 |
|
call invert_zoom_x(beta, xf, xtild, G, rlonp025(:iim), xprimp025(:iim), & |
585 |
|
xuv = 0.25d0) |
586 |
|
end if |
587 |
|
|
588 |
|
is2 = 0 |
589 |
|
|
590 |
|
IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
591 |
|
.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
592 |
|
IF (clon <= 0.) THEN |
593 |
|
is2 = 1 |
594 |
|
|
595 |
|
do while (rlonm025(is2) < - pi .and. is2 < iim) |
596 |
|
is2 = is2 + 1 |
597 |
|
end do |
598 |
|
|
599 |
|
call assert(rlonm025(is2) >= - pi, & |
600 |
|
"fxhyp -- rlonm025 should be >= - pi") |
601 |
|
ELSE |
602 |
|
is2 = iim |
603 |
|
|
604 |
|
do while (rlonm025(is2) > pi .and. is2 > 1) |
605 |
|
is2 = is2 - 1 |
606 |
|
end do |
607 |
|
|
608 |
|
if (rlonm025(is2) > pi) then |
609 |
|
print *, 'Rlonm025 plus grand que pi !' |
610 |
|
STOP 1 |
611 |
|
end if |
612 |
|
END IF |
613 |
|
END IF |
614 |
|
|
615 |
|
call principal_cshift(is2, rlonm025, xprimm025) |
616 |
|
call principal_cshift(is2, rlonv, xprimv) |
617 |
|
call principal_cshift(is2, rlonu, xprimu) |
618 |
|
call principal_cshift(is2, rlonp025, xprimp025) |
619 |
|
|
620 |
|
forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
621 |
|
print *, "Minimum longitude step:", MINval(d_rlonv) * rad_to_deg, "degrees" |
622 |
|
print *, "Maximum longitude step:", MAXval(d_rlonv) * rad_to_deg, "degrees" |
623 |
|
|
624 |
|
! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu: |
625 |
|
DO i = 1, iim + 1 |
626 |
|
IF (rlonp025(i) < rlonv(i)) THEN |
627 |
|
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
628 |
|
print *, "< rlonv(", i, ") = ", rlonv(i) |
629 |
|
STOP 1 |
630 |
|
END IF |
631 |
|
|
632 |
|
IF (rlonv(i) < rlonm025(i)) THEN |
633 |
|
print *, 'rlonv(', i, ') = ', rlonv(i) |
634 |
|
print *, "< rlonm025(", i, ") = ", rlonm025(i) |
635 |
|
STOP 1 |
636 |
|
END IF |
637 |
|
|
638 |
|
IF (rlonp025(i) > rlonu(i)) THEN |
639 |
|
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
640 |
|
print *, "> rlonu(", i, ") = ", rlonu(i) |
641 |
|
STOP 1 |
642 |
|
END IF |
643 |
|
END DO |
644 |
|
|
645 |
|
END SUBROUTINE fxhyp |
646 |
|
|
647 |
|
!******************************************************************** |
648 |
|
|
649 |
|
subroutine principal_cshift(is2, xlon, xprimm) |
650 |
|
|
651 |
|
! Add or subtract 2 pi so that xlon is near [-pi, pi], then cshift |
652 |
|
! so that xlon is in ascending order. Make the same cshift on |
653 |
|
! xprimm. In this module to avoid circular dependency. |
654 |
|
|
655 |
|
use nr_util, only: twopi |
656 |
|
|
657 |
|
use dynetat0_chosen_m, only: clon |
658 |
|
USE dimensions, ONLY: iim |
659 |
|
|
660 |
|
integer, intent(in):: is2 |
661 |
|
real, intent(inout):: xlon(:), xprimm(:) ! (iim + 1) |
662 |
|
|
663 |
|
!----------------------------------------------------- |
664 |
|
|
665 |
|
if (is2 /= 0) then |
666 |
|
IF (clon <= 0.) THEN |
667 |
|
IF (is2 /= 1) THEN |
668 |
|
xlon(:is2 - 1) = xlon(:is2 - 1) + twopi |
669 |
|
xlon(:iim) = cshift(xlon(:iim), shift = is2 - 1) |
670 |
|
xprimm(:iim) = cshift(xprimm(:iim), shift = is2 - 1) |
671 |
|
END IF |
672 |
|
else |
673 |
|
xlon(is2 + 1:iim) = xlon(is2 + 1:iim) - twopi |
674 |
|
xlon(:iim) = cshift(xlon(:iim), shift = is2) |
675 |
|
xprimm(:iim) = cshift(xprimm(:iim), shift = is2) |
676 |
|
end IF |
677 |
|
end if |
678 |
|
|
679 |
|
xlon(iim + 1) = xlon(1) + twopi |
680 |
|
xprimm(iim + 1) = xprimm(1) |
681 |
|
|
682 |
|
end subroutine principal_cshift |
683 |
|
|
684 |
|
!********************************************************************** |
685 |
|
|
686 |
|
subroutine invert_zoom_x(beta, xf, xtild, G, xlon, xprim, xuv) |
687 |
|
|
688 |
|
! In this module to avoid circular dependency. |
689 |
|
|
690 |
|
use coefpoly_m, only: coefpoly, a1, a2, a3 |
691 |
|
use dynetat0_chosen_m, only: clon, grossismx |
692 |
|
USE dimensions, ONLY: iim |
693 |
|
use nr_util, only: pi_d, twopi_d |
694 |
|
use numer_rec_95, only: hunt, rtsafe |
695 |
|
|
696 |
|
DOUBLE PRECISION, intent(in):: beta, Xf(0:), xtild(0:), G(0:) ! (0:nmax) |
697 |
|
|
698 |
|
real, intent(out):: xlon(:), xprim(:) ! (iim) |
699 |
|
|
700 |
|
DOUBLE PRECISION, intent(in):: xuv |
701 |
|
! between - 0.25 and 0.5 |
702 |
|
! 0. si calcul aux points scalaires |
703 |
|
! 0.5 si calcul aux points U |
704 |
|
|
705 |
|
! Local: |
706 |
|
DOUBLE PRECISION Y |
707 |
|
DOUBLE PRECISION h ! step of the uniform grid |
708 |
|
integer i, it |
709 |
|
|
710 |
|
DOUBLE PRECISION xvrai(iim), Gvrai(iim) |
711 |
|
! intermediary variables because xlon and xprim are single precision |
712 |
|
|
713 |
|
!------------------------------------------------------------------ |
714 |
|
|
715 |
|
print *, "Call sequence information: invert_zoom_x" |
716 |
|
it = 0 ! initial guess |
717 |
|
h = twopi_d / iim |
718 |
|
|
719 |
|
DO i = 1, iim |
720 |
|
Y = - pi_d + (i + xuv - 0.75d0) * h |
721 |
|
! - pi <= y < pi |
722 |
|
abs_y = abs(y) |
723 |
|
|
724 |
|
! Distinguish boundaries in order to avoid roundoff error. |
725 |
|
! funcd should be exactly equal to 0 at xtild(it) or xtild(it + |
726 |
|
! 1) and could be very small with the wrong sign so rtsafe |
727 |
|
! would fail. |
728 |
|
if (abs_y == 0d0) then |
729 |
|
xvrai(i) = 0d0 |
730 |
|
gvrai(i) = grossismx |
731 |
|
else if (abs_y == pi_d) then |
732 |
|
xvrai(i) = pi_d |
733 |
|
gvrai(i) = 2d0 * beta - grossismx |
734 |
|
else |
735 |
|
call hunt(xf, abs_y, it, my_lbound = 0) |
736 |
|
! {0 <= it <= nmax - 1} |
737 |
|
|
738 |
|
! Calcul de xvrai(i) et Gvrai(i) |
739 |
|
CALL coefpoly(Xf(it), Xf(it + 1), G(it), G(it + 1), xtild(it), & |
740 |
|
xtild(it + 1)) |
741 |
|
xvrai(i) = rtsafe(funcd, xtild(it), xtild(it + 1), xacc = 1d-6) |
742 |
|
Gvrai(i) = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3) |
743 |
|
end if |
744 |
|
|
745 |
|
if (y < 0d0) xvrai(i) = - xvrai(i) |
746 |
|
end DO |
747 |
|
|
748 |
|
DO i = 1, iim -1 |
749 |
|
IF (xvrai(i + 1) < xvrai(i)) THEN |
750 |
|
print *, 'xvrai(', i + 1, ') < xvrai(', i, ')' |
751 |
|
STOP 1 |
752 |
|
END IF |
753 |
|
END DO |
754 |
|
|
755 |
|
xlon = xvrai + clon |
756 |
|
xprim = h / Gvrai |
757 |
|
|
758 |
|
end subroutine invert_zoom_x |
759 |
|
|
760 |
|
!********************************************************************** |
761 |
|
|
762 |
|
SUBROUTINE funcd(x, fval, fderiv) |
763 |
|
|
764 |
|
use coefpoly_m, only: a0, a1, a2, a3 |
765 |
|
|
766 |
|
DOUBLE PRECISION, INTENT(IN):: x |
767 |
|
DOUBLE PRECISION, INTENT(OUT):: fval, fderiv |
768 |
|
|
769 |
|
fval = a0 + x * (a1 + x * (a2 + x * a3)) - abs_y |
770 |
|
fderiv = a1 + x * (2d0 * a2 + x * 3d0 * a3) |
771 |
|
|
772 |
|
END SUBROUTINE funcd |
773 |
|
|
774 |
end module dynetat0_m |
end module dynetat0_m |