Sources/dyn3d/comgeom.f

module comgeom

  use dimens_m, only: iim, jjm

  implicit none

  private iim, jjm

  real cu_2d(iim + 1, jjm + 1), cv_2d(iim + 1, jjm) ! in m
  real cu((iim + 1) * (jjm + 1)), cv((iim + 1) * jjm) ! in m
  equivalence (cu, cu_2d), (cv, cv_2d)

  real unscu2_2d(iim + 1, jjm + 1) ! in m-2
  real unscu2((iim + 1) * (jjm + 1)) ! in m-2
  equivalence (unscu2, unscu2_2d)

  real unscv2_2d(iim + 1, jjm) ! in m-2
  real unscv2((iim + 1) * jjm) ! in m-2
  equivalence (unscv2, unscv2_2d)

  real aire((iim + 1) * (jjm + 1)), aire_2d(iim + 1, jjm + 1) ! in m2
  real airesurg_2d(iim + 1, jjm + 1), airesurg((iim + 1) * (jjm + 1))
  equivalence (aire, aire_2d), (airesurg, airesurg_2d)

  real aireu_2d(iim + 1, jjm + 1) ! in m2
  real aireu((iim + 1) * (jjm + 1)) ! in m2
  equivalence (aireu, aireu_2d)

  real airev((iim + 1) * jjm), airev_2d(iim + 1, jjm) ! in m2
  real unsaire((iim + 1) * (jjm + 1)), unsaire_2d(iim + 1, jjm + 1) ! in m-2
  equivalence (airev, airev_2d), (unsaire, unsaire_2d)

  real apoln, apols ! in m2

  real unsairez_2d(iim + 1, jjm)
  real unsairez((iim + 1) * jjm)
  equivalence (unsairez, unsairez_2d)

  real alpha1_2d(iim + 1, jjm + 1)
  real alpha1((iim + 1) * (jjm + 1))
  equivalence (alpha1, alpha1_2d)

  real alpha2_2d(iim + 1, jjm + 1)         
  real alpha2((iim + 1) * (jjm + 1))
  equivalence (alpha2, alpha2_2d)

  real alpha3_2d(iim + 1, jjm + 1), alpha4_2d(iim + 1, jjm + 1)
  real alpha3((iim + 1) * (jjm + 1)), alpha4((iim + 1) * (jjm + 1))
  equivalence (alpha3, alpha3_2d), (alpha4, alpha4_2d)

  real alpha1p2_2d(iim + 1, jjm + 1)        
  real alpha1p2((iim + 1) * (jjm + 1))
  equivalence (alpha1p2, alpha1p2_2d)

  real alpha1p4_2d(iim + 1, jjm + 1), alpha2p3_2d(iim + 1, jjm + 1)
  real alpha1p4((iim + 1) * (jjm + 1)), alpha2p3((iim + 1) * (jjm + 1))
  equivalence (alpha1p4, alpha1p4_2d), (alpha2p3, alpha2p3_2d)

  real alpha3p4((iim + 1) * (jjm + 1))
  real alpha3p4_2d(iim + 1, jjm + 1)    
  equivalence (alpha3p4, alpha3p4_2d)

  real fext_2d(iim + 1, jjm), constang_2d(iim + 1, jjm + 1)
  real fext((iim + 1) * jjm), constang((iim + 1) * (jjm + 1))
  equivalence (fext, fext_2d), (constang, constang_2d)

  real cuvsurcv_2d(iim + 1, jjm), cvsurcuv_2d(iim + 1, jjm) ! no dimension
  real cuvsurcv((iim + 1) * jjm), cvsurcuv((iim + 1) * jjm) ! no dimension
  equivalence (cuvsurcv, cuvsurcv_2d), (cvsurcuv, cvsurcuv_2d)

  real cvusurcu_2d(iim + 1, jjm + 1), cusurcvu_2d(iim + 1, jjm + 1)
  ! no dimension
  real cvusurcu((iim + 1) * (jjm + 1)), cusurcvu((iim + 1) * (jjm + 1))
  ! no dimension
  equivalence (cvusurcu, cvusurcu_2d), (cusurcvu, cusurcvu_2d)

  real cuvscvgam1_2d(iim + 1, jjm)
  real cuvscvgam1((iim + 1) * jjm)
  equivalence (cuvscvgam1, cuvscvgam1_2d)

  real cuvscvgam2_2d(iim + 1, jjm), cvuscugam1_2d(iim + 1, jjm + 1)
  real cuvscvgam2((iim + 1) * jjm), cvuscugam1((iim + 1) * (jjm + 1))
  equivalence (cuvscvgam2, cuvscvgam2_2d), (cvuscugam1, cvuscugam1_2d)

  real cvuscugam2_2d(iim + 1, jjm + 1), cvscuvgam_2d(iim + 1, jjm)
  real cvuscugam2((iim + 1) * (jjm + 1)), cvscuvgam((iim + 1) * jjm)
  equivalence (cvuscugam2, cvuscugam2_2d), (cvscuvgam, cvscuvgam_2d)

  real cuscvugam((iim + 1) * (jjm + 1))
  real cuscvugam_2d(iim + 1, jjm + 1) 
  equivalence (cuscvugam, cuscvugam_2d)

  real unsapolnga1, unsapolnga2, unsapolsga1, unsapolsga2                

  real unsair_gam1_2d(iim + 1, jjm + 1), unsair_gam2_2d(iim + 1, jjm + 1)
  real unsair_gam1((iim + 1) * (jjm + 1)), unsair_gam2((iim + 1) * (jjm + 1))
  equivalence (unsair_gam1, unsair_gam1_2d), (unsair_gam2, unsair_gam2_2d)

  real unsairz_gam_2d(iim + 1, jjm)
  real unsairz_gam((iim + 1) * jjm)
  equivalence (unsairz_gam, unsairz_gam_2d)

  save

contains

  SUBROUTINE inigeom

    ! Auteur : P. Le Van

    ! Calcul des élongations cuij1, ..., cuij4, cvij1, ..., cvij4 aux mêmes
    ! endroits que les aires aireij1_2d, ..., aireij4_2d.

    ! Calcul des coefficients cu_2d, cv_2d, 1. / cu_2d**2, 1. /
    ! cv_2d**2. Les coefficients cu_2d et cv_2d permettent de passer
    ! des vitesses naturelles aux vitesses covariantes et
    ! contravariantes, ou vice-versa.

    ! On a :
    ! u(covariant) = cu_2d * u(naturel), u(contravariant) = u(naturel) / cu_2d
    ! v(covariant) = cv_2d * v(naturel), v(contravariant) = v(naturel) / cv_2d

    ! On en tire : 
    ! u(covariant) = cu_2d * cu_2d * u(contravariant)
    ! v(covariant) = cv_2d * cv_2d * v(contravariant)

    ! x est la longitude du point en radians.
    ! y est la latitude du point en radians.
    ! 
    ! On a : cu_2d(i, j) = rad * cos(y) * dx / dX
    ! cv(j) = rad * dy / dY
    ! aire_2d(i, j) = cu_2d(i, j) * cv(j)
    ! 
    ! y, dx / dX, dy / dY calculés aux points concernés. cv, bien que
    ! dépendant de j uniquement, sera ici indicé aussi en i pour un
    ! adressage plus facile en ij.

    ! cv_2d est aux points v. cu_2d est aux points u. Cf. "inigeom.txt".

    USE comconst, ONLY : g, omeg, rad
    USE comdissnew, ONLY : coefdis, nitergdiv, nitergrot, niterh
    use dynetat0_m, only: xprimp025, xprimm025, rlatu1, rlatu2, rlatu, rlatv, &
         yprimu1, yprimu2
    USE paramet_m, ONLY : iip1, jjp1

    ! Local:
    INTEGER i, j
    REAL ai14, ai23, airez, un4rad2
    REAL coslatm, coslatp, radclatm, radclatp
    REAL, dimension(iip1, jjp1):: cuij1, cuij2, cuij3, cuij4 ! in m
    REAL, dimension(iip1, jjp1):: cvij1, cvij2, cvij3, cvij4 ! in m
    REAL gamdi_gdiv, gamdi_grot, gamdi_h
    real, dimension(iim + 1, jjm + 1):: aireij1_2d, aireij2_2d, aireij3_2d, &
         aireij4_2d ! in m2

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

    PRINT *, 'Call sequence information: inigeom'

    IF (nitergdiv /= 2) THEN
       gamdi_gdiv = coefdis / (nitergdiv - 2)
    ELSE
       gamdi_gdiv = 0.
    END IF

    IF (nitergrot /= 2) THEN
       gamdi_grot = coefdis / (nitergrot - 2)
    ELSE
       gamdi_grot = 0.
    END IF

    IF (niterh /= 2) THEN
       gamdi_h = coefdis / (niterh - 2)
    ELSE
       gamdi_h = 0.
    END IF

    print *, 'gamdi_gdiv = ', gamdi_gdiv
    print *, "gamdi_grot = ", gamdi_grot
    print *, "gamdi_h = ", gamdi_h

    un4rad2 = 0.25 * rad * rad

    ! Cf. "inigeom.txt". Calcul des quatre aires élémentaires
    ! aireij1_2d, aireij2_2d, aireij3_2d, aireij4_2d qui entourent
    ! chaque aire_2d(i, j), ainsi que les quatre élongations
    ! élémentaires cuij et les quatre élongations cvij qui sont
    ! calculées aux mêmes endroits que les aireij.

    coslatm = cos(rlatu1(1))
    radclatm = 0.5 * rad * coslatm

    aireij1_2d(:iim, 1) = 0.
    aireij2_2d(:iim, 1) = un4rad2 * coslatm * xprimp025(:iim) * yprimu1(1)
    aireij3_2d(:iim, 1) = un4rad2 * coslatm * xprimm025(:iim) * yprimu1(1)
    aireij4_2d(:iim, 1) = 0.

    cuij1(:iim, 1) = 0.
    cuij2(:iim, 1) = radclatm * xprimp025(:iim)
    cuij3(:iim, 1) = radclatm * xprimm025(:iim)
    cuij4(:iim, 1) = 0.

    cvij1(:iim, 1) = 0.
    cvij2(:iim, 1) = 0.5 * rad * yprimu1(1)
    cvij3(:iim, 1) = cvij2(:iim, 1)
    cvij4(:iim, 1) = 0.

    do j = 2, jjm
       coslatm = cos(rlatu1(j))
       coslatp = cos(rlatu2(j-1))
       radclatp = 0.5 * rad * coslatp
       radclatm = 0.5 * rad * coslatm
       ai14 = un4rad2 * coslatp * yprimu2(j-1)
       ai23 = un4rad2 * coslatm * yprimu1(j)

       aireij1_2d(:iim, j) = ai14 * xprimp025(:iim)
       aireij2_2d(:iim, j) = ai23 * xprimp025(:iim)
       aireij3_2d(:iim, j) = ai23 * xprimm025(:iim)
       aireij4_2d(:iim, j) = ai14 * xprimm025(:iim)
       cuij1(:iim, j) = radclatp * xprimp025(:iim)
       cuij2(:iim, j) = radclatm * xprimp025(:iim)
       cuij3(:iim, j) = radclatm * xprimm025(:iim)
       cuij4(:iim, j) = radclatp * xprimm025(:iim)
       cvij1(:iim, j) = 0.5 * rad * yprimu2(j-1)
       cvij2(:iim, j) = 0.5 * rad * yprimu1(j)
       cvij3(:iim, j) = cvij2(:iim, j)
       cvij4(:iim, j) = cvij1(:iim, j)
    end do

    coslatp = cos(rlatu2(jjm))
    radclatp = 0.5 * rad * coslatp

    aireij1_2d(:iim, jjp1) = un4rad2 * coslatp * xprimp025(:iim) * yprimu2(jjm)
    aireij2_2d(:iim, jjp1) = 0.
    aireij3_2d(:iim, jjp1) = 0.
    aireij4_2d(:iim, jjp1) = un4rad2 * coslatp * xprimm025(:iim) * yprimu2(jjm)

    cuij1(:iim, jjp1) = radclatp * xprimp025(:iim)
    cuij2(:iim, jjp1) = 0.
    cuij3(:iim, jjp1) = 0.
    cuij4(:iim, jjp1) = radclatp * xprimm025(:iim)

    cvij1(:iim, jjp1) = 0.5 * rad * yprimu2(jjm)
    cvij2(:iim, jjp1) = 0.
    cvij3(:iim, jjp1) = 0.
    cvij4(:iim, jjp1) = cvij1(:iim, jjp1)

    ! Périodicité :

    cvij1(iip1, :) = cvij1(1, :)
    cvij2(iip1, :) = cvij2(1, :)
    cvij3(iip1, :) = cvij3(1, :)
    cvij4(iip1, :) = cvij4(1, :)

    cuij1(iip1, :) = cuij1(1, :)
    cuij2(iip1, :) = cuij2(1, :)
    cuij3(iip1, :) = cuij3(1, :)
    cuij4(iip1, :) = cuij4(1, :)

    aireij1_2d(iip1, :) = aireij1_2d(1, :)
    aireij2_2d(iip1, :) = aireij2_2d(1, :)
    aireij3_2d(iip1, :) = aireij3_2d(1, :)
    aireij4_2d(iip1, :) = aireij4_2d(1, :)

    DO j = 1, jjp1
       DO i = 1, iim
          aire_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) &
               + aireij3_2d(i, j) + aireij4_2d(i, j)
          alpha1_2d(i, j) = aireij1_2d(i, j) / aire_2d(i, j)
          alpha2_2d(i, j) = aireij2_2d(i, j) / aire_2d(i, j)
          alpha3_2d(i, j) = aireij3_2d(i, j) / aire_2d(i, j)
          alpha4_2d(i, j) = aireij4_2d(i, j) / aire_2d(i, j)
          alpha1p2_2d(i, j) = alpha1_2d(i, j) + alpha2_2d(i, j)
          alpha1p4_2d(i, j) = alpha1_2d(i, j) + alpha4_2d(i, j)
          alpha2p3_2d(i, j) = alpha2_2d(i, j) + alpha3_2d(i, j)
          alpha3p4_2d(i, j) = alpha3_2d(i, j) + alpha4_2d(i, j)
       END DO

       aire_2d(iip1, j) = aire_2d(1, j)
       alpha1_2d(iip1, j) = alpha1_2d(1, j)
       alpha2_2d(iip1, j) = alpha2_2d(1, j)
       alpha3_2d(iip1, j) = alpha3_2d(1, j)
       alpha4_2d(iip1, j) = alpha4_2d(1, j)
       alpha1p2_2d(iip1, j) = alpha1p2_2d(1, j)
       alpha1p4_2d(iip1, j) = alpha1p4_2d(1, j)
       alpha2p3_2d(iip1, j) = alpha2p3_2d(1, j)
       alpha3p4_2d(iip1, j) = alpha3p4_2d(1, j)
    END DO

    DO j = 1, jjp1
       DO i = 1, iim
          aireu_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) + &
               aireij4_2d(i + 1, j) + aireij3_2d(i + 1, j)
          unsaire_2d(i, j) = 1. / aire_2d(i, j)
          unsair_gam1_2d(i, j) = unsaire_2d(i, j)**(-gamdi_gdiv)
          unsair_gam2_2d(i, j) = unsaire_2d(i, j)**(-gamdi_h)
          airesurg_2d(i, j) = aire_2d(i, j) / g
       END DO
       aireu_2d(iip1, j) = aireu_2d(1, j)
       unsaire_2d(iip1, j) = unsaire_2d(1, j)
       unsair_gam1_2d(iip1, j) = unsair_gam1_2d(1, j)
       unsair_gam2_2d(iip1, j) = unsair_gam2_2d(1, j)
       airesurg_2d(iip1, j) = airesurg_2d(1, j)
    END DO

    DO j = 1, jjm
       DO i = 1, iim
          airev_2d(i, j) = aireij2_2d(i, j) + aireij3_2d(i, j) + &
               aireij1_2d(i, j + 1) + aireij4_2d(i, j + 1)
       END DO
       DO i = 1, iim
          airez = aireij2_2d(i, j) + aireij1_2d(i, j + 1) &
               + aireij3_2d(i + 1, j) + aireij4_2d(i + 1, j + 1)
          unsairez_2d(i, j) = 1. / airez
          unsairz_gam_2d(i, j) = unsairez_2d(i, j)**(-gamdi_grot)
          fext_2d(i, j) = airez * sin(rlatv(j)) * 2. * omeg
       END DO
       airev_2d(iip1, j) = airev_2d(1, j)
       unsairez_2d(iip1, j) = unsairez_2d(1, j)
       fext_2d(iip1, j) = fext_2d(1, j)
       unsairz_gam_2d(iip1, j) = unsairz_gam_2d(1, j)
    END DO

    ! Calcul des élongations cu_2d, cv_2d

    DO j = 1, jjm
       DO i = 1, iim
          cv_2d(i, j) = 0.5 * &
               (cvij2(i, j) + cvij3(i, j) + cvij1(i, j + 1) + cvij4(i, j + 1))
          unscv2_2d(i, j) = 1. / cv_2d(i, j)**2
       END DO
       DO i = 1, iim
          cuvsurcv_2d(i, j) = airev_2d(i, j) * unscv2_2d(i, j)
          cvsurcuv_2d(i, j) = 1. / cuvsurcv_2d(i, j)
          cuvscvgam1_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_gdiv)
          cuvscvgam2_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_h)
          cvscuvgam_2d(i, j) = cvsurcuv_2d(i, j)**(-gamdi_grot)
       END DO
       cv_2d(iip1, j) = cv_2d(1, j)
       unscv2_2d(iip1, j) = unscv2_2d(1, j)
       cuvsurcv_2d(iip1, j) = cuvsurcv_2d(1, j)
       cvsurcuv_2d(iip1, j) = cvsurcuv_2d(1, j)
       cuvscvgam1_2d(iip1, j) = cuvscvgam1_2d(1, j)
       cuvscvgam2_2d(iip1, j) = cuvscvgam2_2d(1, j)
       cvscuvgam_2d(iip1, j) = cvscuvgam_2d(1, j)
    END DO

    DO j = 2, jjm
       DO i = 1, iim
          cu_2d(i, j) = 0.5 * (cuij1(i, j) + cuij4(i + 1, j) + cuij2(i, j) &
               + cuij3(i + 1, j))
          unscu2_2d(i, j) = 1. / cu_2d(i, j)**2
          cvusurcu_2d(i, j) = aireu_2d(i, j) * unscu2_2d(i, j)
          cusurcvu_2d(i, j) = 1. / cvusurcu_2d(i, j)
          cvuscugam1_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_gdiv)
          cvuscugam2_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_h)
          cuscvugam_2d(i, j) = cusurcvu_2d(i, j)**(-gamdi_grot)
       END DO
       cu_2d(iip1, j) = cu_2d(1, j)
       unscu2_2d(iip1, j) = unscu2_2d(1, j)
       cvusurcu_2d(iip1, j) = cvusurcu_2d(1, j)
       cusurcvu_2d(iip1, j) = cusurcvu_2d(1, j)
       cvuscugam1_2d(iip1, j) = cvuscugam1_2d(1, j)
       cvuscugam2_2d(iip1, j) = cvuscugam2_2d(1, j)
       cuscvugam_2d(iip1, j) = cuscvugam_2d(1, j)
    END DO

    ! Calcul aux pôles 

    cu_2d(:, 1) = 0.
    unscu2_2d(:, 1) = 0.

    cu_2d(:, jjp1) = 0.
    unscu2_2d(:, jjp1) = 0.

    ! Calcul des aires aux pôles :

    apoln = sum(aire_2d(:iim, 1))
    apols = sum(aire_2d(:iim, jjp1))
    unsapolnga1 = 1. / (apoln**(-gamdi_gdiv))
    unsapolsga1 = 1. / (apols**(-gamdi_gdiv))
    unsapolnga2 = 1. / (apoln**(-gamdi_h))
    unsapolsga2 = 1. / (apols**(-gamdi_h))

    ! Changement F. Hourdin calcul conservatif pour fext_2d
    ! constang_2d contient le produit a * cos (latitude) * omega

    DO i = 1, iim
       constang_2d(i, 1) = 0.
    END DO
    DO j = 1, jjm - 1
       DO i = 1, iim
          constang_2d(i, j + 1) = rad * omeg * cu_2d(i, j + 1) &
               * cos(rlatu(j + 1))
       END DO
    END DO
    DO i = 1, iim
       constang_2d(i, jjp1) = 0.
    END DO

    ! Périodicité en longitude
    DO j = 1, jjp1
       constang_2d(iip1, j) = constang_2d(1, j)
    END DO

  END SUBROUTINE inigeom

end module comgeom
1	guez	3	module comgeom
2
3			use dimens_m, only: iim, jjm
4
5			implicit none
6
7	guez	79	private iim, jjm
8	guez	3
9	guez	60	real cu_2d(iim + 1, jjm + 1), cv_2d(iim + 1, jjm) ! in m
10	guez	79	real cu((iim + 1) * (jjm + 1)), cv((iim + 1) * jjm) ! in m
11	guez	3	equivalence (cu, cu_2d), (cv, cv_2d)
12
13	guez	60	real unscu2_2d(iim + 1, jjm + 1) ! in m-2
14	guez	79	real unscu2((iim + 1) * (jjm + 1)) ! in m-2
15	guez	3	equivalence (unscu2, unscu2_2d)
16
17	guez	60	real unscv2_2d(iim + 1, jjm) ! in m-2
18	guez	79	real unscv2((iim + 1) * jjm) ! in m-2
19	guez	3	equivalence (unscv2, unscv2_2d)
20
21	guez	79	real aire((iim + 1) * (jjm + 1)), aire_2d(iim + 1, jjm + 1) ! in m2
22			real airesurg_2d(iim + 1, jjm + 1), airesurg((iim + 1) * (jjm + 1))
23	guez	3	equivalence (aire, aire_2d), (airesurg, airesurg_2d)
24
25	guez	57	real aireu_2d(iim + 1, jjm + 1) ! in m2
26	guez	79	real aireu((iim + 1) * (jjm + 1)) ! in m2
27	guez	3	equivalence (aireu, aireu_2d)
28
29	guez	79	real airev((iim + 1) * jjm), airev_2d(iim + 1, jjm) ! in m2
30			real unsaire((iim + 1) * (jjm + 1)), unsaire_2d(iim + 1, jjm + 1) ! in m-2
31	guez	3	equivalence (airev, airev_2d), (unsaire, unsaire_2d)
32
33	guez	60	real apoln, apols ! in m2
34	guez	3
35	guez	46	real unsairez_2d(iim + 1, jjm)
36	guez	79	real unsairez((iim + 1) * jjm)
37	guez	25	equivalence (unsairez, unsairez_2d)
38	guez	3
39	guez	46	real alpha1_2d(iim + 1, jjm + 1)
40	guez	79	real alpha1((iim + 1) * (jjm + 1))
41	guez	25	equivalence (alpha1, alpha1_2d)
42	guez	3
43	guez	46	real alpha2_2d(iim + 1, jjm + 1)
44	guez	79	real alpha2((iim + 1) * (jjm + 1))
45	guez	3	equivalence (alpha2, alpha2_2d)
46
47	guez	46	real alpha3_2d(iim + 1, jjm + 1), alpha4_2d(iim + 1, jjm + 1)
48	guez	79	real alpha3((iim + 1) * (jjm + 1)), alpha4((iim + 1) * (jjm + 1))
49	guez	3	equivalence (alpha3, alpha3_2d), (alpha4, alpha4_2d)
50
51	guez	46	real alpha1p2_2d(iim + 1, jjm + 1)
52	guez	79	real alpha1p2((iim + 1) * (jjm + 1))
53	guez	3	equivalence (alpha1p2, alpha1p2_2d)
54
55	guez	46	real alpha1p4_2d(iim + 1, jjm + 1), alpha2p3_2d(iim + 1, jjm + 1)
56	guez	79	real alpha1p4((iim + 1) * (jjm + 1)), alpha2p3((iim + 1) * (jjm + 1))
57	guez	3	equivalence (alpha1p4, alpha1p4_2d), (alpha2p3, alpha2p3_2d)
58
59	guez	79	real alpha3p4((iim + 1) * (jjm + 1))
60	guez	46	real alpha3p4_2d(iim + 1, jjm + 1)
61	guez	3	equivalence (alpha3p4, alpha3p4_2d)
62
63	guez	46	real fext_2d(iim + 1, jjm), constang_2d(iim + 1, jjm + 1)
64	guez	79	real fext((iim + 1) * jjm), constang((iim + 1) * (jjm + 1))
65	guez	3	equivalence (fext, fext_2d), (constang, constang_2d)
66
67	guez	60	real cuvsurcv_2d(iim + 1, jjm), cvsurcuv_2d(iim + 1, jjm) ! no dimension
68	guez	79	real cuvsurcv((iim + 1) * jjm), cvsurcuv((iim + 1) * jjm) ! no dimension
69	guez	3	equivalence (cuvsurcv, cuvsurcv_2d), (cvsurcuv, cvsurcuv_2d)
70
71	guez	46	real cvusurcu_2d(iim + 1, jjm + 1), cusurcvu_2d(iim + 1, jjm + 1)
72	guez	60	! no dimension
73	guez	79	real cvusurcu((iim + 1) * (jjm + 1)), cusurcvu((iim + 1) * (jjm + 1))
74			! no dimension
75	guez	3	equivalence (cvusurcu, cvusurcu_2d), (cusurcvu, cusurcvu_2d)
76
77	guez	46	real cuvscvgam1_2d(iim + 1, jjm)
78	guez	79	real cuvscvgam1((iim + 1) * jjm)
79	guez	3	equivalence (cuvscvgam1, cuvscvgam1_2d)
80
81	guez	46	real cuvscvgam2_2d(iim + 1, jjm), cvuscugam1_2d(iim + 1, jjm + 1)
82	guez	79	real cuvscvgam2((iim + 1) * jjm), cvuscugam1((iim + 1) * (jjm + 1))
83	guez	3	equivalence (cuvscvgam2, cuvscvgam2_2d), (cvuscugam1, cvuscugam1_2d)
84
85	guez	46	real cvuscugam2_2d(iim + 1, jjm + 1), cvscuvgam_2d(iim + 1, jjm)
86	guez	79	real cvuscugam2((iim + 1) * (jjm + 1)), cvscuvgam((iim + 1) * jjm)
87	guez	3	equivalence (cvuscugam2, cvuscugam2_2d), (cvscuvgam, cvscuvgam_2d)
88
89	guez	79	real cuscvugam((iim + 1) * (jjm + 1))
90	guez	46	real cuscvugam_2d(iim + 1, jjm + 1)
91	guez	3	equivalence (cuscvugam, cuscvugam_2d)
92
93	guez	46	real unsapolnga1, unsapolnga2, unsapolsga1, unsapolsga2
94	guez	3
95	guez	46	real unsair_gam1_2d(iim + 1, jjm + 1), unsair_gam2_2d(iim + 1, jjm + 1)
96	guez	79	real unsair_gam1((iim + 1) * (jjm + 1)), unsair_gam2((iim + 1) * (jjm + 1))
97	guez	3	equivalence (unsair_gam1, unsair_gam1_2d), (unsair_gam2, unsair_gam2_2d)
98
99	guez	46	real unsairz_gam_2d(iim + 1, jjm)
100	guez	79	real unsairz_gam((iim + 1) * jjm)
101	guez	3	equivalence (unsairz_gam, unsairz_gam_2d)
102
103			save
104
105	guez	78	contains
106
107			SUBROUTINE inigeom
108
109			! Auteur : P. Le Van
110
111			! Calcul des élongations cuij1, ..., cuij4, cvij1, ..., cvij4 aux mêmes
112			! endroits que les aires aireij1_2d, ..., aireij4_2d.
113
114	guez	161	! Calcul des coefficients cu_2d, cv_2d, 1. / cu_2d**2, 1. /
115			! cv_2d**2. Les coefficients cu_2d et cv_2d permettent de passer
116			! des vitesses naturelles aux vitesses covariantes et
117			! contravariantes, ou vice-versa.
118	guez	78
119			! On a :
120			! u(covariant) = cu_2d * u(naturel), u(contravariant) = u(naturel) / cu_2d
121			! v(covariant) = cv_2d * v(naturel), v(contravariant) = v(naturel) / cv_2d
122
123			! On en tire :
124			! u(covariant) = cu_2d * cu_2d * u(contravariant)
125			! v(covariant) = cv_2d * cv_2d * v(contravariant)
126
127			! x est la longitude du point en radians.
128			! y est la latitude du point en radians.
129			!
130			! On a : cu_2d(i, j) = rad * cos(y) * dx / dX
131			! cv(j) = rad * dy / dY
132			! aire_2d(i, j) = cu_2d(i, j) * cv(j)
133			!
134			! y, dx / dX, dy / dY calculés aux points concernés. cv, bien que
135			! dépendant de j uniquement, sera ici indicé aussi en i pour un
136			! adressage plus facile en ij.
137
138	guez	161	! cv_2d est aux points v. cu_2d est aux points u. Cf. "inigeom.txt".
139	guez	78
140			USE comconst, ONLY : g, omeg, rad
141			USE comdissnew, ONLY : coefdis, nitergdiv, nitergrot, niterh
142	guez	139	use dynetat0_m, only: xprimp025, xprimm025, rlatu1, rlatu2, rlatu, rlatv, &
143	guez	161	yprimu1, yprimu2
144	guez	78	USE paramet_m, ONLY : iip1, jjp1
145
146	guez	96	! Local:
147	guez	161	INTEGER i, j
148	guez	78	REAL ai14, ai23, airez, un4rad2
149			REAL coslatm, coslatp, radclatm, radclatp
150			REAL, dimension(iip1, jjp1):: cuij1, cuij2, cuij3, cuij4 ! in m
151			REAL, dimension(iip1, jjp1):: cvij1, cvij2, cvij3, cvij4 ! in m
152			REAL gamdi_gdiv, gamdi_grot, gamdi_h
153			real, dimension(iim + 1, jjm + 1):: aireij1_2d, aireij2_2d, aireij3_2d, &
154			aireij4_2d ! in m2
155
156			!------------------------------------------------------------------
157
158			PRINT *, 'Call sequence information: inigeom'
159
160	guez	125	IF (nitergdiv /= 2) THEN
161			gamdi_gdiv = coefdis / (nitergdiv - 2)
162	guez	78	ELSE
163			gamdi_gdiv = 0.
164			END IF
165	guez	121
166	guez	125	IF (nitergrot /= 2) THEN
167			gamdi_grot = coefdis / (nitergrot - 2)
168	guez	78	ELSE
169			gamdi_grot = 0.
170			END IF
171	guez	121
172	guez	125	IF (niterh /= 2) THEN
173			gamdi_h = coefdis / (niterh - 2)
174	guez	78	ELSE
175			gamdi_h = 0.
176			END IF
177
178			print *, 'gamdi_gdiv = ', gamdi_gdiv
179			print *, "gamdi_grot = ", gamdi_grot
180			print *, "gamdi_h = ", gamdi_h
181
182			un4rad2 = 0.25 * rad * rad
183
184			! Cf. "inigeom.txt". Calcul des quatre aires élémentaires
185			! aireij1_2d, aireij2_2d, aireij3_2d, aireij4_2d qui entourent
186			! chaque aire_2d(i, j), ainsi que les quatre élongations
187			! élémentaires cuij et les quatre élongations cvij qui sont
188			! calculées aux mêmes endroits que les aireij.
189
190			coslatm = cos(rlatu1(1))
191			radclatm = 0.5 * rad * coslatm
192
193			aireij1_2d(:iim, 1) = 0.
194			aireij2_2d(:iim, 1) = un4rad2 * coslatm * xprimp025(:iim) * yprimu1(1)
195			aireij3_2d(:iim, 1) = un4rad2 * coslatm * xprimm025(:iim) * yprimu1(1)
196			aireij4_2d(:iim, 1) = 0.
197
198			cuij1(:iim, 1) = 0.
199			cuij2(:iim, 1) = radclatm * xprimp025(:iim)
200			cuij3(:iim, 1) = radclatm * xprimm025(:iim)
201			cuij4(:iim, 1) = 0.
202
203			cvij1(:iim, 1) = 0.
204			cvij2(:iim, 1) = 0.5 * rad * yprimu1(1)
205			cvij3(:iim, 1) = cvij2(:iim, 1)
206			cvij4(:iim, 1) = 0.
207
208			do j = 2, jjm
209			coslatm = cos(rlatu1(j))
210			coslatp = cos(rlatu2(j-1))
211			radclatp = 0.5 * rad * coslatp
212			radclatm = 0.5 * rad * coslatm
213			ai14 = un4rad2 * coslatp * yprimu2(j-1)
214			ai23 = un4rad2 * coslatm * yprimu1(j)
215
216			aireij1_2d(:iim, j) = ai14 * xprimp025(:iim)
217			aireij2_2d(:iim, j) = ai23 * xprimp025(:iim)
218			aireij3_2d(:iim, j) = ai23 * xprimm025(:iim)
219			aireij4_2d(:iim, j) = ai14 * xprimm025(:iim)
220			cuij1(:iim, j) = radclatp * xprimp025(:iim)
221			cuij2(:iim, j) = radclatm * xprimp025(:iim)
222			cuij3(:iim, j) = radclatm * xprimm025(:iim)
223			cuij4(:iim, j) = radclatp * xprimm025(:iim)
224			cvij1(:iim, j) = 0.5 * rad * yprimu2(j-1)
225			cvij2(:iim, j) = 0.5 * rad * yprimu1(j)
226			cvij3(:iim, j) = cvij2(:iim, j)
227			cvij4(:iim, j) = cvij1(:iim, j)
228			end do
229
230			coslatp = cos(rlatu2(jjm))
231			radclatp = 0.5 * rad * coslatp
232
233			aireij1_2d(:iim, jjp1) = un4rad2 * coslatp * xprimp025(:iim) * yprimu2(jjm)
234			aireij2_2d(:iim, jjp1) = 0.
235			aireij3_2d(:iim, jjp1) = 0.
236			aireij4_2d(:iim, jjp1) = un4rad2 * coslatp * xprimm025(:iim) * yprimu2(jjm)
237
238			cuij1(:iim, jjp1) = radclatp * xprimp025(:iim)
239			cuij2(:iim, jjp1) = 0.
240			cuij3(:iim, jjp1) = 0.
241			cuij4(:iim, jjp1) = radclatp * xprimm025(:iim)
242
243			cvij1(:iim, jjp1) = 0.5 * rad * yprimu2(jjm)
244			cvij2(:iim, jjp1) = 0.
245			cvij3(:iim, jjp1) = 0.
246			cvij4(:iim, jjp1) = cvij1(:iim, jjp1)
247
248			! Périodicité :
249
250			cvij1(iip1, :) = cvij1(1, :)
251			cvij2(iip1, :) = cvij2(1, :)
252			cvij3(iip1, :) = cvij3(1, :)
253			cvij4(iip1, :) = cvij4(1, :)
254
255			cuij1(iip1, :) = cuij1(1, :)
256			cuij2(iip1, :) = cuij2(1, :)
257			cuij3(iip1, :) = cuij3(1, :)
258			cuij4(iip1, :) = cuij4(1, :)
259
260			aireij1_2d(iip1, :) = aireij1_2d(1, :)
261			aireij2_2d(iip1, :) = aireij2_2d(1, :)
262			aireij3_2d(iip1, :) = aireij3_2d(1, :)
263			aireij4_2d(iip1, :) = aireij4_2d(1, :)
264
265			DO j = 1, jjp1
266			DO i = 1, iim
267			aire_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) &
268			+ aireij3_2d(i, j) + aireij4_2d(i, j)
269			alpha1_2d(i, j) = aireij1_2d(i, j) / aire_2d(i, j)
270			alpha2_2d(i, j) = aireij2_2d(i, j) / aire_2d(i, j)
271			alpha3_2d(i, j) = aireij3_2d(i, j) / aire_2d(i, j)
272			alpha4_2d(i, j) = aireij4_2d(i, j) / aire_2d(i, j)
273			alpha1p2_2d(i, j) = alpha1_2d(i, j) + alpha2_2d(i, j)
274			alpha1p4_2d(i, j) = alpha1_2d(i, j) + alpha4_2d(i, j)
275			alpha2p3_2d(i, j) = alpha2_2d(i, j) + alpha3_2d(i, j)
276			alpha3p4_2d(i, j) = alpha3_2d(i, j) + alpha4_2d(i, j)
277			END DO
278
279			aire_2d(iip1, j) = aire_2d(1, j)
280			alpha1_2d(iip1, j) = alpha1_2d(1, j)
281			alpha2_2d(iip1, j) = alpha2_2d(1, j)
282			alpha3_2d(iip1, j) = alpha3_2d(1, j)
283			alpha4_2d(iip1, j) = alpha4_2d(1, j)
284			alpha1p2_2d(iip1, j) = alpha1p2_2d(1, j)
285			alpha1p4_2d(iip1, j) = alpha1p4_2d(1, j)
286			alpha2p3_2d(iip1, j) = alpha2p3_2d(1, j)
287			alpha3p4_2d(iip1, j) = alpha3p4_2d(1, j)
288			END DO
289
290			DO j = 1, jjp1
291			DO i = 1, iim
292			aireu_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) + &
293			aireij4_2d(i + 1, j) + aireij3_2d(i + 1, j)
294			unsaire_2d(i, j) = 1. / aire_2d(i, j)
295			unsair_gam1_2d(i, j) = unsaire_2d(i, j)**(-gamdi_gdiv)
296			unsair_gam2_2d(i, j) = unsaire_2d(i, j)**(-gamdi_h)
297			airesurg_2d(i, j) = aire_2d(i, j) / g
298			END DO
299			aireu_2d(iip1, j) = aireu_2d(1, j)
300			unsaire_2d(iip1, j) = unsaire_2d(1, j)
301			unsair_gam1_2d(iip1, j) = unsair_gam1_2d(1, j)
302			unsair_gam2_2d(iip1, j) = unsair_gam2_2d(1, j)
303			airesurg_2d(iip1, j) = airesurg_2d(1, j)
304			END DO
305
306			DO j = 1, jjm
307			DO i = 1, iim
308			airev_2d(i, j) = aireij2_2d(i, j) + aireij3_2d(i, j) + &
309			aireij1_2d(i, j + 1) + aireij4_2d(i, j + 1)
310			END DO
311			DO i = 1, iim
312			airez = aireij2_2d(i, j) + aireij1_2d(i, j + 1) &
313			+ aireij3_2d(i + 1, j) + aireij4_2d(i + 1, j + 1)
314			unsairez_2d(i, j) = 1. / airez
315			unsairz_gam_2d(i, j) = unsairez_2d(i, j)**(-gamdi_grot)
316			fext_2d(i, j) = airez * sin(rlatv(j)) * 2. * omeg
317			END DO
318			airev_2d(iip1, j) = airev_2d(1, j)
319			unsairez_2d(iip1, j) = unsairez_2d(1, j)
320			fext_2d(iip1, j) = fext_2d(1, j)
321			unsairz_gam_2d(iip1, j) = unsairz_gam_2d(1, j)
322			END DO
323
324	guez	140	! Calcul des élongations cu_2d, cv_2d
325	guez	78
326			DO j = 1, jjm
327			DO i = 1, iim
328			cv_2d(i, j) = 0.5 * &
329			(cvij2(i, j) + cvij3(i, j) + cvij1(i, j + 1) + cvij4(i, j + 1))
330			unscv2_2d(i, j) = 1. / cv_2d(i, j)**2
331			END DO
332			DO i = 1, iim
333			cuvsurcv_2d(i, j) = airev_2d(i, j) * unscv2_2d(i, j)
334			cvsurcuv_2d(i, j) = 1. / cuvsurcv_2d(i, j)
335			cuvscvgam1_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_gdiv)
336			cuvscvgam2_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_h)
337			cvscuvgam_2d(i, j) = cvsurcuv_2d(i, j)**(-gamdi_grot)
338			END DO
339			cv_2d(iip1, j) = cv_2d(1, j)
340			unscv2_2d(iip1, j) = unscv2_2d(1, j)
341			cuvsurcv_2d(iip1, j) = cuvsurcv_2d(1, j)
342			cvsurcuv_2d(iip1, j) = cvsurcuv_2d(1, j)
343			cuvscvgam1_2d(iip1, j) = cuvscvgam1_2d(1, j)
344			cuvscvgam2_2d(iip1, j) = cuvscvgam2_2d(1, j)
345			cvscuvgam_2d(iip1, j) = cvscuvgam_2d(1, j)
346			END DO
347
348			DO j = 2, jjm
349			DO i = 1, iim
350			cu_2d(i, j) = 0.5 * (cuij1(i, j) + cuij4(i + 1, j) + cuij2(i, j) &
351			+ cuij3(i + 1, j))
352			unscu2_2d(i, j) = 1. / cu_2d(i, j)**2
353			cvusurcu_2d(i, j) = aireu_2d(i, j) * unscu2_2d(i, j)
354			cusurcvu_2d(i, j) = 1. / cvusurcu_2d(i, j)
355			cvuscugam1_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_gdiv)
356			cvuscugam2_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_h)
357			cuscvugam_2d(i, j) = cusurcvu_2d(i, j)**(-gamdi_grot)
358			END DO
359			cu_2d(iip1, j) = cu_2d(1, j)
360			unscu2_2d(iip1, j) = unscu2_2d(1, j)
361			cvusurcu_2d(iip1, j) = cvusurcu_2d(1, j)
362			cusurcvu_2d(iip1, j) = cusurcvu_2d(1, j)
363			cvuscugam1_2d(iip1, j) = cvuscugam1_2d(1, j)
364			cvuscugam2_2d(iip1, j) = cvuscugam2_2d(1, j)
365			cuscvugam_2d(iip1, j) = cuscvugam_2d(1, j)
366			END DO
367
368			! Calcul aux pôles
369
370			cu_2d(:, 1) = 0.
371			unscu2_2d(:, 1) = 0.
372
373			cu_2d(:, jjp1) = 0.
374			unscu2_2d(:, jjp1) = 0.
375
376			! Calcul des aires aux pôles :
377
378			apoln = sum(aire_2d(:iim, 1))
379			apols = sum(aire_2d(:iim, jjp1))
380			unsapolnga1 = 1. / (apoln**(-gamdi_gdiv))
381			unsapolsga1 = 1. / (apols**(-gamdi_gdiv))
382			unsapolnga2 = 1. / (apoln**(-gamdi_h))
383			unsapolsga2 = 1. / (apols**(-gamdi_h))
384
385			! Changement F. Hourdin calcul conservatif pour fext_2d
386			! constang_2d contient le produit a * cos (latitude) * omega
387
388			DO i = 1, iim
389			constang_2d(i, 1) = 0.
390			END DO
391			DO j = 1, jjm - 1
392			DO i = 1, iim
393			constang_2d(i, j + 1) = rad * omeg * cu_2d(i, j + 1) &
394			* cos(rlatu(j + 1))
395			END DO
396			END DO
397			DO i = 1, iim
398			constang_2d(i, jjp1) = 0.
399			END DO
400
401			! Périodicité en longitude
402			DO j = 1, jjp1
403			constang_2d(iip1, j) = constang_2d(1, j)
404			END DO
405
406			END SUBROUTINE inigeom
407
408	guez	3	end module comgeom