/[lmdze]/trunk/Sources/dyn3d/invert_zoom_x.f
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Contents of /trunk/Sources/dyn3d/invert_zoom_x.f

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Revision 146 - (show annotations)
Tue Jun 16 17:27:33 2015 UTC (8 years, 11 months ago) by guez
File size: 2284 byte(s)
We use the fact that \tilde X is an odd function in invert_zoom_x so
we only need arrays for the domain \tilde x \in [0, \pi].

1 module invert_zoom_x_m
2
3 implicit none
4
5 INTEGER, PARAMETER:: nmax = 30000
6
7 contains
8
9 subroutine invert_zoom_x(xf, xtild, G, xlon, xprimm, xuv)
10
11 use coefpoly_m, only: coefpoly
12 USE dimens_m, ONLY: iim
13 use dynetat0_m, only: clon
14 use nr_util, only: pi_d, twopi_d
15 use numer_rec_95, only: hunt
16
17 DOUBLE PRECISION, intent(in):: Xf(0:), xtild(0:), G(0:) ! (0:nmax)
18
19 real, intent(out):: xlon(:), xprimm(:) ! (iim)
20
21 DOUBLE PRECISION, intent(in):: xuv
22 ! between - 0.25 and 0.5
23 ! 0. si calcul aux points scalaires
24 ! 0.5 si calcul aux points U
25
26 ! Local:
27 DOUBLE PRECISION xo1, Xfi, abs_xfi, a0, a1, a2, a3, Xf1, Xprimin
28 integer i, it, iter
29 DOUBLE PRECISION, parameter:: my_eps = 1d-6
30
31 DOUBLE PRECISION xxprim(iim), xvrai(iim)
32 ! intermediary variables because xlon and xprimm are simple precision
33
34 !------------------------------------------------------------------
35
36 it = 0 ! initial guess
37
38 DO i = 1, iim
39 Xfi = - pi_d + (i + xuv - 0.75d0) * twopi_d / iim
40 ! - pi <= xfi < pi
41 abs_xfi = abs(xfi)
42
43 call hunt(xf, abs_xfi, it, my_lbound = 0)
44 ! {0 <= it <= nmax - 1}
45
46 ! Calcul de xvrai(i) et xxprim(i)
47
48 CALL coefpoly(Xf(it), Xf(it + 1), G(it), G(it + 1), xtild(it), &
49 xtild(it + 1), a0, a1, a2, a3)
50 xvrai(i) = xtild(it)
51 Xf1 = Xf(it)
52 Xprimin = G(it)
53 xo1 = xvrai(i)
54 iter = 1
55
56 do
57 xvrai(i) = xvrai(i) - (Xf1 - abs_xfi) / Xprimin
58 IF (ABS(xvrai(i) - xo1) <= my_eps .or. iter == 300) exit
59 xo1 = xvrai(i)
60 Xf1 = a0 + xvrai(i) * (a1 + xvrai(i) * (a2 + xvrai(i) * a3))
61 Xprimin = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3)
62 end DO
63
64 if (ABS(xvrai(i) - xo1) > my_eps) then
65 ! iter == 300
66 print *, 'Pas de solution.'
67 print *, i, abs_xfi
68 STOP 1
69 end if
70
71 if (xfi < 0) xvrai(i) = - xvrai(i)
72 xxprim(i) = twopi_d / (iim * Xprimin)
73 end DO
74
75 DO i = 1, iim -1
76 IF (xvrai(i + 1) < xvrai(i)) THEN
77 print *, 'xvrai(', i + 1, ') < xvrai(', i, ')'
78 STOP 1
79 END IF
80 END DO
81
82 xlon = xvrai + clon
83 xprimm = xxprim
84
85 end subroutine invert_zoom_x
86
87 end module invert_zoom_x_m

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