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module fxhyp_m |
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IMPLICIT NONE |
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|
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contains |
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SUBROUTINE fxhyp(xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025) |
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! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32 |
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! Author: P. Le Van, from formulas by R. Sadourny |
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|
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! Calcule les longitudes et dérivées dans la grille du GCM pour |
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! une fonction x_f(\tilde x) à dérivée tangente hyperbolique. |
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|
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! Il vaut mieux avoir : grossismx \times delta < pi |
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|
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! Le premier point scalaire pour une grille regulière (grossismx = |
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! 1) avec clon = 0 est à - 180 degrés. |
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|
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USE dimensions, ONLY: iim |
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use dynetat0_m, only: clon, grossismx, dzoomx, taux |
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use invert_zoom_x_m, only: invert_zoom_x, nmax |
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use nr_util, only: pi, pi_d, twopi, twopi_d, arth |
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use principal_cshift_m, only: principal_cshift |
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use tanh_cautious_m, only: tanh_cautious |
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|
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REAL, intent(out):: xprimm025(:) ! (iim + 1) |
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|
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REAL, intent(out):: rlonv(:) ! (iim + 1) |
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! longitudes of points of the "scalar" and "v" grid, in rad |
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|
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REAL, intent(out):: xprimv(:) ! (iim + 1) |
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! 2 pi / iim * (derivative of the longitudinal zoom function)(rlonv) |
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|
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real, intent(out):: rlonu(:) ! (iim + 1) |
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! longitudes of points of the "u" grid, in rad |
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|
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real, intent(out):: xprimu(:) ! (iim + 1) |
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! 2 pi / iim * (derivative of the longitudinal zoom function)(rlonu) |
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|
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real, intent(out):: xprimp025(:) ! (iim + 1) |
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|
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! Local: |
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real rlonm025(iim + 1), rlonp025(iim + 1), d_rlonv(iim) |
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REAL delta, h |
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DOUBLE PRECISION, dimension(0:nmax):: xtild, fhyp, G, Xf, ffdx |
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DOUBLE PRECISION beta |
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INTEGER i, is2 |
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DOUBLE PRECISION xmoy(nmax), fxm(nmax) |
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|
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!---------------------------------------------------------------------- |
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|
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print *, "Call sequence information: fxhyp" |
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|
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if (grossismx == 1.) then |
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h = twopi / iim |
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|
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xprimm025(:iim) = h |
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xprimp025(:iim) = h |
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xprimv(:iim) = h |
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xprimu(:iim) = h |
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|
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rlonv(:iim) = arth(- pi + clon, h, iim) |
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rlonm025(:iim) = rlonv(:iim) - 0.25 * h |
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rlonp025(:iim) = rlonv(:iim) + 0.25 * h |
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rlonu(:iim) = rlonv(:iim) + 0.5 * h |
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else |
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delta = dzoomx * twopi_d |
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xtild = arth(0d0, pi_d / nmax, nmax + 1) |
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forall (i = 1:nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i)) |
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|
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! Compute fhyp: |
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fhyp(1:nmax - 1) = tanh_cautious(taux * (delta / 2d0 & |
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- xtild(1:nmax - 1)), xtild(1:nmax - 1) & |
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* (pi_d - xtild(1:nmax - 1))) |
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fhyp(0) = 1d0 |
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fhyp(nmax) = -1d0 |
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|
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fxm = tanh_cautious(taux * (delta / 2d0 - xmoy), xmoy * (pi_d - xmoy)) |
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|
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! Compute \int_0 ^{\tilde x} F: |
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|
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ffdx(0) = 0d0 |
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|
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DO i = 1, nmax |
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ffdx(i) = ffdx(i - 1) + fxm(i) * (xtild(i) - xtild(i-1)) |
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END DO |
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|
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print *, "ffdx(nmax) = ", ffdx(nmax) |
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beta = (pi_d - grossismx * ffdx(nmax)) / (pi_d - ffdx(nmax)) |
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print *, "beta = ", beta |
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|
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IF (2d0 * beta - grossismx <= 0d0) THEN |
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print *, 'Bad choice of grossismx, taux, dzoomx.' |
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print *, 'Decrease dzoomx or grossismx.' |
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STOP 1 |
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END IF |
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|
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G = beta + (grossismx - beta) * fhyp |
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|
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Xf(:nmax - 1) = beta * xtild(:nmax - 1) + (grossismx - beta) & |
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* ffdx(:nmax - 1) |
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Xf(nmax) = pi_d |
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|
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call invert_zoom_x(beta, xf, xtild, G, rlonm025(:iim), xprimm025(:iim), & |
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xuv = - 0.25d0) |
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call invert_zoom_x(beta, xf, xtild, G, rlonv(:iim), xprimv(:iim), & |
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xuv = 0d0) |
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call invert_zoom_x(beta, xf, xtild, G, rlonu(:iim), xprimu(:iim), & |
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xuv = 0.5d0) |
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call invert_zoom_x(beta, xf, xtild, G, rlonp025(:iim), xprimp025(:iim), & |
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xuv = 0.25d0) |
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end if |
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|
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is2 = 0 |
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|
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IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
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.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
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IF (clon <= 0.) THEN |
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is2 = 1 |
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|
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do while (rlonm025(is2) < - pi .and. is2 < iim) |
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is2 = is2 + 1 |
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end do |
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|
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if (rlonm025(is2) < - pi) then |
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print *, 'Rlonm025 plus petit que - pi !' |
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STOP 1 |
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end if |
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ELSE |
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is2 = iim |
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|
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do while (rlonm025(is2) > pi .and. is2 > 1) |
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is2 = is2 - 1 |
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end do |
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if (rlonm025(is2) > pi) then |
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print *, 'Rlonm025 plus grand que pi !' |
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STOP 1 |
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end if |
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END IF |
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END IF |
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|
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call principal_cshift(is2, rlonm025, xprimm025) |
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call principal_cshift(is2, rlonv, xprimv) |
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call principal_cshift(is2, rlonu, xprimu) |
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call principal_cshift(is2, rlonp025, xprimp025) |
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|
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forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
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print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees" |
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print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees" |
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|
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! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu: |
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DO i = 1, iim + 1 |
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IF (rlonp025(i) < rlonv(i)) THEN |
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print *, 'rlonp025(', i, ') = ', rlonp025(i) |
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print *, "< rlonv(", i, ") = ", rlonv(i) |
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STOP 1 |
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END IF |
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|
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IF (rlonv(i) < rlonm025(i)) THEN |
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print *, 'rlonv(', i, ') = ', rlonv(i) |
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print *, "< rlonm025(", i, ") = ", rlonm025(i) |
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STOP 1 |
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END IF |
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IF (rlonp025(i) > rlonu(i)) THEN |
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print *, 'rlonp025(', i, ') = ', rlonp025(i) |
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print *, "> rlonu(", i, ") = ", rlonu(i) |
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STOP 1 |
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END IF |
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END DO |
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|
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END SUBROUTINE fxhyp |
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|
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end module fxhyp_m |
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