1 |
|
module inifgn_m |
2 |
|
|
3 |
! $Header: /home/cvsroot/LMDZ4/libf/filtrez/inifgn.F,v 1.1.1.1 2004/05/19 |
use dimens_m, only: iim |
|
! 12:53:09 lmdzadmin Exp $ |
|
4 |
|
|
5 |
SUBROUTINE inifgn(dv) |
IMPLICIT NONE |
6 |
|
|
7 |
! ... H.Upadyaya , O.Sharma ... |
private iim |
8 |
|
|
9 |
USE dimens_m |
real sddu(iim), sddv(iim) ! SQRT(dx) |
10 |
USE paramet_m |
real unsddu(iim), unsddv(iim) |
|
USE comgeom |
|
|
USE serre |
|
|
USE coefils |
|
|
IMPLICIT NONE |
|
11 |
|
|
12 |
|
real eignfnu(iim, iim), eignfnv(iim, iim) |
13 |
|
! eigenfunctions of the discrete laplacian |
14 |
|
|
15 |
|
contains |
16 |
|
|
17 |
REAL vec(iim, iim), vec1(iim, iim) |
SUBROUTINE inifgn(dv) |
|
REAL dlonu(iim), dlonv(iim) |
|
|
REAL du(iim), dv(iim), d(iim) |
|
|
REAL pi |
|
|
INTEGER i, j, k, imm1, nrot |
|
|
|
|
|
|
|
|
EXTERNAL ssum, acc, jacobi |
|
|
! C EXTERNAL eigen |
|
|
REAL ssum |
|
|
|
|
|
|
|
|
imm1 = iim - 1 |
|
|
pi = 2.*asin(1.) |
|
|
|
|
|
DO i = 1, iim |
|
|
dlonu(i) = xprimu(i) |
|
|
dlonv(i) = xprimv(i) |
|
|
END DO |
|
|
|
|
|
DO i = 1, iim |
|
|
sddv(i) = sqrt(dlonv(i)) |
|
|
sddu(i) = sqrt(dlonu(i)) |
|
|
unsddu(i) = 1./sddu(i) |
|
|
unsddv(i) = 1./sddv(i) |
|
|
END DO |
|
|
|
|
|
DO j = 1, iim |
|
|
DO i = 1, iim |
|
|
vec(i, j) = 0. |
|
|
vec1(i, j) = 0. |
|
|
eignfnv(i, j) = 0. |
|
|
eignfnu(i, j) = 0. |
|
|
END DO |
|
|
END DO |
|
18 |
|
|
19 |
|
! From LMDZ4/libf/filtrez/inifgn.F, v 1.1.1.1 2004/05/19 12:53:09 |
20 |
|
|
21 |
eignfnv(1, 1) = -1. |
! H. Upadyaya, O. Sharma |
22 |
eignfnv(iim, 1) = 1. |
|
23 |
DO i = 1, imm1 |
use acc_m, only: acc |
24 |
eignfnv(i+1, i+1) = -1. |
USE dimens_m, ONLY: iim |
25 |
eignfnv(i, i+1) = 1. |
USE dynetat0_m, ONLY: xprimu, xprimv |
26 |
END DO |
use nr_util, only: pi |
27 |
DO j = 1, iim |
use numer_rec_95, only: jacobi, eigsrt |
28 |
DO i = 1, iim |
|
29 |
eignfnv(i, j) = eignfnv(i, j)/(sddu(i)*sddv(j)) |
real, intent(out):: dv(:) ! (iim) |
|
END DO |
|
|
END DO |
|
|
DO j = 1, iim |
|
|
DO i = 1, iim |
|
|
eignfnu(i, j) = -eignfnv(j, i) |
|
|
END DO |
|
|
END DO |
|
30 |
|
|
31 |
DO j = 1, iim |
! Local: |
32 |
DO i = 1, iim |
REAL vec(iim, iim), vec1(iim, iim) |
33 |
vec(i, j) = 0.0 |
REAL du(iim) |
34 |
vec1(i, j) = 0.0 |
INTEGER i, j, k, nrot |
35 |
DO k = 1, iim |
|
36 |
vec(i, j) = vec(i, j) + eignfnu(i, k)*eignfnv(k, j) |
!---------------------------------------------------------------- |
37 |
vec1(i, j) = vec1(i, j) + eignfnv(i, k)*eignfnu(k, j) |
|
38 |
END DO |
sddv = sqrt(xprimv(:iim)) |
39 |
|
sddu = sqrt(xprimu(:iim)) |
40 |
|
unsddu = 1. / sddu |
41 |
|
unsddv = 1. / sddv |
42 |
|
|
43 |
|
DO j = 1, iim |
44 |
|
DO i = 1, iim |
45 |
|
vec(i, j) = 0. |
46 |
|
vec1(i, j) = 0. |
47 |
|
eignfnv(i, j) = 0. |
48 |
|
eignfnu(i, j) = 0. |
49 |
|
END DO |
50 |
END DO |
END DO |
|
END DO |
|
51 |
|
|
52 |
|
eignfnv(1, 1) = - 1. |
53 |
|
eignfnv(iim, 1) = 1. |
54 |
|
DO i = 1, iim - 1 |
55 |
|
eignfnv(i+1, i+1) = - 1. |
56 |
|
eignfnv(i, i+1) = 1. |
57 |
|
END DO |
58 |
|
|
59 |
CALL jacobi(vec, iim, iim, dv, eignfnv, nrot) |
DO j = 1, iim |
60 |
CALL acc(eignfnv, d, iim) |
DO i = 1, iim |
61 |
CALL eigen_sort(dv, eignfnv, iim, iim) |
eignfnv(i, j) = eignfnv(i, j) / (sddu(i) * sddv(j)) |
62 |
|
END DO |
63 |
|
END DO |
64 |
|
|
65 |
CALL jacobi(vec1, iim, iim, du, eignfnu, nrot) |
DO j = 1, iim |
66 |
CALL acc(eignfnu, d, iim) |
DO i = 1, iim |
67 |
CALL eigen_sort(du, eignfnu, iim, iim) |
eignfnu(i, j) = - eignfnv(j, i) |
68 |
|
END DO |
69 |
|
END DO |
70 |
|
|
71 |
! c ancienne version avec appels IMSL |
DO j = 1, iim |
72 |
|
DO i = 1, iim |
73 |
|
vec(i, j) = 0.0 |
74 |
|
vec1(i, j) = 0.0 |
75 |
|
DO k = 1, iim |
76 |
|
vec(i, j) = vec(i, j) + eignfnu(i, k) * eignfnv(k, j) |
77 |
|
vec1(i, j) = vec1(i, j) + eignfnv(i, k) * eignfnu(k, j) |
78 |
|
END DO |
79 |
|
END DO |
80 |
|
END DO |
81 |
|
|
82 |
! CALL MXM(eignfnu,iim,eignfnv,iim,vec,iim) |
CALL jacobi(vec, dv, eignfnv, nrot) |
83 |
! CALL MXM(eignfnv,iim,eignfnu,iim,vec1,iim) |
CALL acc(eignfnv) |
84 |
! CALL EVCSF(iim,vec,iim,dv,eignfnv,iim) |
CALL eigsrt(dv, eignfnv) |
|
! CALL acc(eignfnv,d,iim) |
|
|
! CALL eigen(eignfnv,dv) |
|
85 |
|
|
86 |
! CALL EVCSF(iim,vec1,iim,du,eignfnu,iim) |
CALL jacobi(vec1, du, eignfnu, nrot) |
87 |
! CALL acc(eignfnu,d,iim) |
CALL acc(eignfnu) |
88 |
! CALL eigen(eignfnu,du) |
CALL eigsrt(du, eignfnu) |
89 |
|
|
90 |
RETURN |
END SUBROUTINE inifgn |
|
END SUBROUTINE inifgn |
|
91 |
|
|
92 |
|
end module inifgn_m |