2 |
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3 |
IMPLICIT NONE |
IMPLICIT NONE |
4 |
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! North: |
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5 |
INTEGER jfiltnu, jfiltnv |
INTEGER jfiltnu, jfiltnv |
6 |
! index of the last scalar line filtered in northern hemisphere |
! index of the last line filtered in northern hemisphere at rlat[uv] |
7 |
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! latitudes |
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real, pointer:: matriceun(:, :, :) ! (iim, iim, jfiltnu - 1) |
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! matrice filtre pour les champs situes sur la grille scalaire |
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real, pointer:: matrinvn(:, :, :) ! (iim, iim, jfiltnu - 1) |
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! matrice filtre pour les champs situes sur la grille scalaire, pour |
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! le filtre inverse |
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real, pointer:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
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! matrice filtre pour les champs situes sur la grille de V ou de Z |
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! South: |
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8 |
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9 |
integer jfiltsu, jfiltsv |
integer jfiltsu, jfiltsv |
10 |
! index of the first line filtered in southern hemisphere |
! index of the first line filtered in southern hemisphere at |
11 |
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! rlat[uv] latitudes |
12 |
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13 |
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! Filtre pour les champs situes sur la grille scalaire (longitudes |
14 |
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! rlonv, latitudes rlatu) : |
15 |
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real, pointer:: matriceun(:, :, :) ! (iim, iim, jfiltnu - 1) |
16 |
real, pointer:: matriceus(:, :, :) ! (iim, iim, jjm - jfiltsu + 1) |
real, pointer:: matriceus(:, :, :) ! (iim, iim, jjm - jfiltsu + 1) |
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! matrice filtre pour les champs situes sur la grille scalaire |
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17 |
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18 |
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! Filtre pour les champs situes sur la grille scalaire (longitudes |
19 |
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! rlonv, latitudes rlatu), pour le filtre inverse : |
20 |
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real, pointer:: matrinvn(:, :, :) ! (iim, iim, jfiltnu - 1) |
21 |
real, pointer:: matrinvs(:, :, :) ! (iim, iim, jjm - jfiltsu + 1) |
real, pointer:: matrinvs(:, :, :) ! (iim, iim, jjm - jfiltsu + 1) |
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! matrice filtre pour les champs situes sur la grille scalaire, pour |
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! le filtre inverse |
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22 |
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23 |
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! Filtre pour les champs situes sur la grille de la vorticit\'e |
24 |
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! (longitudes rlonu, latitudes rlatv) |
25 |
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real, pointer:: matricevn(:, :, :) ! (iim, iim, jfiltnv) matrice |
26 |
real, pointer:: matricevs(:, :, :) ! (iim, iim, jjm - jfiltsv + 1) |
real, pointer:: matricevs(:, :, :) ! (iim, iim, jjm - jfiltsv + 1) |
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! matrice filtre pour les champs situes sur la grille de V ou de Z |
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27 |
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28 |
contains |
contains |
29 |
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44 |
use inifgn_m, only: inifgn |
use inifgn_m, only: inifgn |
45 |
use inifilr_hemisph_m, only: inifilr_hemisph |
use inifilr_hemisph_m, only: inifilr_hemisph |
46 |
use jumble, only: new_unit |
use jumble, only: new_unit |
47 |
use nr_util, only: pi, ifirstloc |
use nr_util, only: pi, ifirstloc, assert |
48 |
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49 |
! Local: |
! Local: |
50 |
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51 |
REAL dlatu(jjm) |
REAL dlatu(jjm) |
52 |
REAL rlamda(2:iim) ! > 0, in descending order |
REAL rlamda(2:iim) ! > 0, in descending order |
53 |
real eignvl(iim) ! eigenvalues sorted in descending order (<= 0) |
real eignvl(iim) ! eigenvalues (<= 0) sorted in descending order |
54 |
INTEGER j, unit |
INTEGER j, unit |
55 |
REAL colat0 ! > 0 |
REAL colat0 ! > 0 |
56 |
integer j1 ! index of smallest positive latitude |
integer j1 ! index of negative latitude closest to the equator |
57 |
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58 |
real eignfnu(iim, iim), eignfnv(iim, iim) |
real eignfnu(iim, iim), eignfnv(iim, iim) |
59 |
! eigenvectors of the discrete second derivative with respect to longitude |
! eigenvectors of the discrete second derivative with respect to |
60 |
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! longitude, at rlon[uv] longitudes |
61 |
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62 |
!----------------------------------------------------------- |
!----------------------------------------------------------- |
63 |
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70 |
colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim))) |
colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim))) |
71 |
PRINT *, 'colat0 = ', colat0 |
PRINT *, 'colat0 = ', colat0 |
72 |
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73 |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim)) |
rlamda = iim / pi / colat0 * grossismx / sqrt(- eignvl(2: iim)) |
74 |
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print *, "1 / rlamda(iim) = ", 1. / rlamda(iim) |
75 |
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! This is demonstrated in the notes but just to be sure: |
76 |
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call assert(rlamda(iim) * colat0 >= 1. - 2. * epsilon(0.), & |
77 |
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"inifilr rlamda(iim) * colat0") |
78 |
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79 |
call new_unit(unit) |
call new_unit(unit) |
80 |
open(unit, file = "modfrst.csv", status = "replace", action = "write") |
open(unit, file = "modfrst.csv", status = "replace", action = "write") |
81 |
write(unit, fmt = *) '"rlat (degrees)" modfrst' ! title line |
write(unit, fmt = *) '"rlat (degrees)" modfrst' ! title line |
82 |
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! D\'etermination de jfilt[ns][uv] : |
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83 |
j1 = ifirstloc(rlatu <= 0.) |
j1 = ifirstloc(rlatu <= 0.) |
84 |
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85 |
call inifilr_hemisph(rlatu(j1 - 1:2:- 1), colat0, rlamda, unit, eignfnv, & |
call inifilr_hemisph(rlatu(j1 - 1:2:- 1), rlamda, unit, eignfnv, jfiltnu, & |
86 |
jfiltnu, matriceun, matrinvn) |
matriceun, matrinvn) |
87 |
jfiltnu = j1 - jfiltnu |
jfiltnu = j1 - jfiltnu |
88 |
matriceun = matriceun(:, :, jfiltnu - 1:1:- 1) |
matriceun = matriceun(:, :, jfiltnu - 1:1:- 1) |
89 |
matrinvn = matrinvn(:, :, jfiltnu - 1:1:- 1) |
matrinvn = matrinvn(:, :, jfiltnu - 1:1:- 1) |
90 |
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91 |
call inifilr_hemisph(- rlatu(j1:jjm), colat0, rlamda, unit, eignfnv, & |
call inifilr_hemisph(- rlatu(j1:jjm), rlamda, unit, eignfnv, jfiltsu, & |
92 |
jfiltsu, matriceus, matrinvs) |
matriceus, matrinvs) |
93 |
jfiltsu = j1 - 1 + jfiltsu |
jfiltsu = j1 - 1 + jfiltsu |
94 |
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95 |
j1 = ifirstloc(rlatv <= 0.) |
j1 = ifirstloc(rlatv <= 0.) |
96 |
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97 |
call inifilr_hemisph(rlatv(j1 - 1:1:- 1), colat0, rlamda, unit, eignfnu, & |
call inifilr_hemisph(rlatv(j1 - 1:1:- 1), rlamda, unit, eignfnu, jfiltnv, & |
98 |
jfiltnv, matricevn) |
matricevn) |
99 |
jfiltnv = j1 - jfiltnv |
jfiltnv = j1 - jfiltnv |
100 |
matricevn = matricevn(:, :, jfiltnv:1:- 1) |
matricevn = matricevn(:, :, jfiltnv:1:- 1) |
101 |
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102 |
call inifilr_hemisph(- rlatv(j1:jjm), colat0, rlamda, unit, eignfnu, & |
call inifilr_hemisph(- rlatv(j1:jjm), rlamda, unit, eignfnu, jfiltsv, & |
103 |
jfiltsv, matricevs) |
matricevs) |
104 |
jfiltsv = j1 - 1 + jfiltsv |
jfiltsv = j1 - 1 + jfiltsv |
105 |
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106 |
close(unit) |
close(unit) |