/[lmdze]/trunk/filtrez/inifgn.f
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revision 140 by guez, Fri Jun 5 18:58:06 2015 UTC revision 152 by guez, Tue Jun 23 18:18:12 2015 UTC
# Line 6  module inifgn_m Line 6  module inifgn_m
6    
7    private iim    private iim
8    
9    real sddu(iim), sddv(iim) ! SQRT(dx)    real sddu(iim), sddv(iim) ! SQRT(dx / di)
10    real unsddu(iim), unsddv(iim)    real unsddu(iim), unsddv(iim)
11    
12    real eignfnu(iim, iim), eignfnv(iim, iim)    real eignfnu(iim, iim), eignfnv(iim, iim)
13    ! eignfn eigenfunctions of the discrete laplacian    ! eigenfunctions of the discrete laplacian
14    
15  contains  contains
16    
# Line 18  contains Line 18  contains
18    
19      ! From LMDZ4/libf/filtrez/inifgn.F, v 1.1.1.1 2004/05/19 12:53:09      ! From LMDZ4/libf/filtrez/inifgn.F, v 1.1.1.1 2004/05/19 12:53:09
20    
21      ! H.Upadyaya, O.Sharma      ! H. Upadyaya, O. Sharma
22    
23        use acc_m, only: acc
24      USE dimens_m, ONLY: iim      USE dimens_m, ONLY: iim
25      USE dynetat0_m, ONLY: xprimu, xprimv      USE dynetat0_m, ONLY: xprimu, xprimv
26      use nr_util, only: pi      use numer_rec_95, only: jacobi, eigsrt
     use numer_rec_95, only: jacobi  
27    
28      real, intent(out):: dv(iim)      real, intent(out):: dv(:) ! (iim) eigenvalues sorted in descending order
29    
30      ! Local:      ! Local:
31      REAL vec(iim, iim), vec1(iim, iim)      REAL, dimension(iim, iim):: a, b, c
32      REAL du(iim)      REAL du(iim)
33      real d(iim)      INTEGER i
     INTEGER i, j, k, nrot  
   
     EXTERNAL acc  
34    
35      !----------------------------------------------------------------      !----------------------------------------------------------------
36    
37        print *, "Call sequence information: inifgn"
38    
39      sddv = sqrt(xprimv(:iim))      sddv = sqrt(xprimv(:iim))
40      sddu = sqrt(xprimu(:iim))      sddu = sqrt(xprimu(:iim))
41      unsddu = 1. / sddu      unsddu = 1. / sddu
42      unsddv = 1. / sddv      unsddv = 1. / sddv
43    
44      DO j = 1, iim      b = 0.
45         DO i = 1, iim      b(iim, 1) = 1. / (sddu(iim) * sddv(1))
46            vec(i, j) = 0.      forall (i = 1:iim) b(i, i) = - 1./ (sddu(i) * sddv(i))
47            vec1(i, j) = 0.      forall (i = 1:iim - 1) b(i, i + 1) = 1. / (sddu(i) * sddv(i + 1))
48            eignfnv(i, j) = 0.  
49            eignfnu(i, j) = 0.      c = - transpose(b)
50         END DO  
51      END DO      a = matmul(c, b)
52        CALL jacobi(a, dv, eignfnv)
53      eignfnv(1, 1) = - 1.      CALL acc(eignfnv)
54      eignfnv(iim, 1) = 1.      CALL eigsrt(dv, eignfnv)
55      DO i = 1, iim - 1  
56         eignfnv(i+1, i+1) = - 1.      a = matmul(b, c)
57         eignfnv(i, i+1) = 1.      CALL jacobi(a, du, eignfnu)
58      END DO      CALL acc(eignfnu)
59        CALL eigsrt(du, eignfnu)
     DO j = 1, iim  
        DO i = 1, iim  
           eignfnv(i, j) = eignfnv(i, j) / (sddu(i) * sddv(j))  
        END DO  
     END DO  
   
     DO j = 1, iim  
        DO i = 1, iim  
           eignfnu(i, j) = - eignfnv(j, i)  
        END DO  
     END DO  
   
     DO j = 1, iim  
        DO i = 1, iim  
           vec(i, j) = 0.0  
           vec1(i, j) = 0.0  
           DO k = 1, iim  
              vec(i, j) = vec(i, j) + eignfnu(i, k) * eignfnv(k, j)  
              vec1(i, j) = vec1(i, j) + eignfnv(i, k) * eignfnu(k, j)  
           END DO  
        END DO  
     END DO  
   
     CALL jacobi(vec, dv, eignfnv, nrot)  
     CALL acc(eignfnv, d, iim)  
     CALL eigen_sort(dv, eignfnv, iim, iim)  
   
     CALL jacobi(vec1, du, eignfnu, nrot)  
     CALL acc(eignfnu, d, iim)  
     CALL eigen_sort(du, eignfnu, iim, iim)  
60    
61    END SUBROUTINE inifgn    END SUBROUTINE inifgn
62    
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