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module inifgn_m |
module inifgn_m |
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use dimens_m, only: iim |
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IMPLICIT NONE |
IMPLICIT NONE |
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private iim |
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real sddu(iim), sddv(iim) ! SQRT(dx / di) |
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real unsddu(iim), unsddv(iim) |
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real eignfnu(iim, iim), eignfnv(iim, iim) |
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! eigenfunctions of the discrete laplacian |
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contains |
contains |
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SUBROUTINE inifgn(dv) |
SUBROUTINE inifgn(dv) |
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! 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 |
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! H.Upadyaya, O.Sharma |
! H. Upadyaya, O. Sharma |
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use acc_m, only: acc |
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USE dimens_m, ONLY: iim |
USE dimens_m, ONLY: iim |
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USE comgeom, ONLY: xprimu, xprimv |
USE dynetat0_m, ONLY: xprimu, xprimv |
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USE coefils, ONLY: eignfnu, eignfnv, sddu, sddv, unsddu, unsddv |
use numer_rec_95, only: jacobi, eigsrt |
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real dv(iim) |
real, intent(out):: dv(:) ! (iim) eigenvalues sorted in descending order |
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! Local: |
! Local: |
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REAL vec(iim, iim), vec1(iim, iim) |
REAL, dimension(iim, iim):: a, b, c |
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REAL dlonu(iim), dlonv(iim) |
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REAL du(iim) |
REAL du(iim) |
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real d(iim) |
INTEGER i |
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REAL pi |
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INTEGER i, j, k, imm1, nrot |
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EXTERNAL acc, jacobi |
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!---------------------------------------------------------------- |
!---------------------------------------------------------------- |
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imm1 = iim - 1 |
print *, "Call sequence information: inifgn" |
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pi = 2.*asin(1.) |
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DO i = 1, iim |
sddv = sqrt(xprimv(:iim)) |
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dlonu(i) = xprimu(i) |
sddu = sqrt(xprimu(:iim)) |
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dlonv(i) = xprimv(i) |
unsddu = 1. / sddu |
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END DO |
unsddv = 1. / sddv |
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DO i = 1, iim |
b = 0. |
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sddv(i) = sqrt(dlonv(i)) |
b(iim, 1) = 1. / (sddu(iim) * sddv(1)) |
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sddu(i) = sqrt(dlonu(i)) |
forall (i = 1:iim) b(i, i) = - 1./ (sddu(i) * sddv(i)) |
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unsddu(i) = 1./sddu(i) |
forall (i = 1:iim - 1) b(i, i + 1) = 1. / (sddu(i) * sddv(i + 1)) |
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unsddv(i) = 1./sddv(i) |
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END DO |
c = - transpose(b) |
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DO j = 1, iim |
a = matmul(c, b) |
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DO i = 1, iim |
CALL jacobi(a, dv, eignfnv) |
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vec(i, j) = 0. |
CALL acc(eignfnv) |
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vec1(i, j) = 0. |
CALL eigsrt(dv, eignfnv) |
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eignfnv(i, j) = 0. |
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eignfnu(i, j) = 0. |
a = matmul(b, c) |
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END DO |
CALL jacobi(a, du, eignfnu) |
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END DO |
CALL acc(eignfnu) |
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CALL eigsrt(du, eignfnu) |
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eignfnv(1, 1) = -1. |
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eignfnv(iim, 1) = 1. |
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DO i = 1, imm1 |
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eignfnv(i+1, i+1) = -1. |
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eignfnv(i, i+1) = 1. |
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END DO |
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DO j = 1, iim |
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DO i = 1, iim |
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eignfnv(i, j) = eignfnv(i, j)/(sddu(i)*sddv(j)) |
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END DO |
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END DO |
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DO j = 1, iim |
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DO i = 1, iim |
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eignfnu(i, j) = -eignfnv(j, i) |
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END DO |
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END DO |
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DO j = 1, iim |
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DO i = 1, iim |
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vec(i, j) = 0.0 |
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vec1(i, j) = 0.0 |
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DO k = 1, iim |
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vec(i, j) = vec(i, j) + eignfnu(i, k)*eignfnv(k, j) |
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vec1(i, j) = vec1(i, j) + eignfnv(i, k)*eignfnu(k, j) |
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END DO |
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END DO |
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END DO |
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CALL jacobi(vec, iim, iim, dv, eignfnv, nrot) |
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CALL acc(eignfnv, d, iim) |
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CALL eigen_sort(dv, eignfnv, iim, iim) |
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CALL jacobi(vec1, iim, iim, du, eignfnu, nrot) |
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CALL acc(eignfnu, d, iim) |
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CALL eigen_sort(du, eignfnu, iim, iim) |
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END SUBROUTINE inifgn |
END SUBROUTINE inifgn |
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