dyn3d/Dissipation/gradiv2.f

module gradiv2_m

  IMPLICIT NONE

contains

  SUBROUTINE gradiv2(xcov, ycov, ld, gdx, gdy, cdivu)

    ! From LMDZ4/libf/dyn3d/gradiv2.F, version 1.1.1.1 2004/05/19 12:53:07
    ! P. Le Van
    ! Calcul de grad div du vecteur v.

    USE dimens_m, ONLY : iim, jjm, llm
    use divergf_m, only: divergf
    USE comgeom, ONLY : cuvscvgam1, cvuscugam1, unsair_gam1, unsapolnga1, &
         unsapolsga1
    USE filtreg_m, ONLY : filtreg
    use nr_util, only: assert_eq, assert

    ! Composantes covariantes de v :
    REAL, intent(in):: xcov(:, :, :) ! (iim + 1, jjm + 1, klevel)
    REAL, intent(in):: ycov(:, :, :) ! (iim + 1, jjm, klevel)

    integer, intent(in):: ld
    REAL, intent(out):: gdx(:, :, :) ! (iim + 1, jjm + 1, klevel)
    REAL, intent(out):: gdy(:, :, :) ! (iim + 1, jjm, klevel)
    real, intent(in):: cdivu

    ! Variables locales :
    REAL nugrads, div(iim + 1, jjm + 1, llm)
    INTEGER iter, klevel

    !--------------------------------------------------------------

    call assert((/size(xcov, 1), size(ycov, 1), size(gdx, 1), size(gdy, 1)/) &
         == iim + 1, "gradiv2 iim")
    call assert((/size(xcov, 2) - 1, size(ycov, 2), size(gdx, 2) - 1, &
         size(gdy, 2)/) == jjm, "gradiv2 iim")
    klevel = assert_eq(size(xcov, 3), size(ycov, 3), size(gdx, 3), &
         size(gdy, 3), "gradiv2 klevel")

    gdx = xcov
    gdy = ycov

    CALL divergf(klevel, gdx, gdy, div)

    IF (ld > 1) THEN
       CALL laplacien(klevel, div, div)

       ! Itération de l'opérateur laplacien_gam
       DO iter = 1, ld -2
          CALL laplacien_gam(klevel, cuvscvgam1, cvuscugam1, unsair_gam1, &
               unsapolnga1, unsapolsga1, div, div)
       END DO
    ENDIF

    CALL filtreg(div, jjm + 1, klevel, 2, 1, .TRUE., 1)
    CALL grad(klevel, div, gdx, gdy)
    nugrads = (-1.)**ld * cdivu

    gdx = gdx * nugrads
    gdy = gdy * nugrads

  END SUBROUTINE gradiv2

end module gradiv2_m
1	module gradiv2_m
2
3	IMPLICIT NONE
4
5	contains
6
7	SUBROUTINE gradiv2(xcov, ycov, ld, gdx, gdy, cdivu)
8
9	! From LMDZ4/libf/dyn3d/gradiv2.F, version 1.1.1.1 2004/05/19 12:53:07
10	! P. Le Van
11	! Calcul de grad div du vecteur v.
12
13	USE dimens_m, ONLY : iim, jjm, llm
14	use divergf_m, only: divergf
15	USE comgeom, ONLY : cuvscvgam1, cvuscugam1, unsair_gam1, unsapolnga1, &
16	unsapolsga1
17	USE filtreg_m, ONLY : filtreg
18	use nr_util, only: assert_eq, assert
19
20	! Composantes covariantes de v :
21	REAL, intent(in):: xcov(:, :, :) ! (iim + 1, jjm + 1, klevel)
22	REAL, intent(in):: ycov(:, :, :) ! (iim + 1, jjm, klevel)
23
24	integer, intent(in):: ld
25	REAL, intent(out):: gdx(:, :, :) ! (iim + 1, jjm + 1, klevel)
26	REAL, intent(out):: gdy(:, :, :) ! (iim + 1, jjm, klevel)
27	real, intent(in):: cdivu
28
29	! Variables locales :
30	REAL nugrads, div(iim + 1, jjm + 1, llm)
31	INTEGER iter, klevel
32
33	!--------------------------------------------------------------
34
35	call assert((/size(xcov, 1), size(ycov, 1), size(gdx, 1), size(gdy, 1)/) &
36	== iim + 1, "gradiv2 iim")
37	call assert((/size(xcov, 2) - 1, size(ycov, 2), size(gdx, 2) - 1, &
38	size(gdy, 2)/) == jjm, "gradiv2 iim")
39	klevel = assert_eq(size(xcov, 3), size(ycov, 3), size(gdx, 3), &
40	size(gdy, 3), "gradiv2 klevel")
41
42	gdx = xcov
43	gdy = ycov
44
45	CALL divergf(klevel, gdx, gdy, div)
46
47	IF (ld > 1) THEN
48	CALL laplacien(klevel, div, div)
49
50	! Itération de l'opérateur laplacien_gam
51	DO iter = 1, ld -2
52	CALL laplacien_gam(klevel, cuvscvgam1, cvuscugam1, unsair_gam1, &
53	unsapolnga1, unsapolsga1, div, div)
54	END DO
55	ENDIF
56
57	CALL filtreg(div, jjm + 1, klevel, 2, 1, .TRUE., 1)
58	CALL grad(klevel, div, gdx, gdy)
59	nugrads = (-1.)*ld cdivu
60
61	gdx = gdx * nugrads
62	gdy = gdy * nugrads
63
64	END SUBROUTINE gradiv2
65
66	end module gradiv2_m