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module grid_noro_m |
module grid_noro_m |
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! Clean: no C preprocessor directive, no include line |
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implicit none |
implicit none |
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contains |
contains |
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! From dyn3d/grid_noro.F, version 1.1.1.1 2004/05/19 12:53:06 |
! From dyn3d/grid_noro.F, version 1.1.1.1 2004/05/19 12:53:06 |
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! Authors: F. Lott, Z. X. Li, A. Harzallah and L. Fairhead |
! Authors: Fran\c{}cois Lott, Laurent Li, A. Harzallah and Laurent |
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! Fairhead |
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! Compute the parameters of the sub-grid scale orography scheme as |
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! described in Lott and Miller (1997) and Lott (1999). |
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! Compute the parameters of the SSO scheme as described in |
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! Lott and Miller (1997) and Lott (1999). |
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! Target points are on a rectangular grid: |
! Target points are on a rectangular grid: |
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! jjm+1 latitudes including North and South Poles; |
! jjm + 1 latitudes including North and South Poles; |
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! iim+1 longitudes, with periodicity: longitude(iim+1)=longitude(1) |
! iim + 1 longitudes, with periodicity: longitude(iim + 1) = longitude(1) |
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! At the poles the field value is repeated iim+1 times. |
! At the poles the field value is repeated iim + 1 times. |
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! The parameters a, b, c, d represent the limite of the target |
! The parameters a, b, c, d represent the limite of the target |
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! gridpoint region. The means over this region are calculated |
! gridpoint region. The means over this region are calculated from |
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! from USN data, ponderated by a weight proportional to the |
! US Navy data, ponderated by a weight proportional to the surface |
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! surface occupied by the data inside the model gridpoint area. |
! occupied by the data inside the model gridpoint area. In most |
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! In most circumstances, this weight is the ratio between the |
! circumstances, this weight is the ratio between the surface of |
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! surface of the USN gridpoint area and the surface of the |
! the US Navy gridpoint area and the surface of the model gridpoint |
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! model gridpoint area. |
! area. See "grid_noto.txt". |
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! (c) |
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! ----d----- |
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! | . . . .| |
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! | | |
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! (b)a . * . .b(a) |
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! | | |
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! | . . . .| |
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! ----c----- |
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! (d) |
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use dimens_m, only: iim, jjm |
use dimens_m, only: iim, jjm |
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use nr_util, only: assert, pi |
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use mva9_m, only: mva9 |
use mva9_m, only: mva9 |
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use nr_util, only: assert, pi |
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! Coordinates of input field: |
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REAL, intent(in):: xdata(:) ! (iusn) |
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REAL, intent(in):: ydata(:) ! (jusn) |
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REAL, intent(in):: zdata(:, :) ! (iusn, jusn) input field |
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REAL, intent(in):: x(:), y(:) ! coordinates of output field |
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! Correlations of US Navy orography gradients: |
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REAL, intent(out):: zphi(:, :) ! (iim + 1, jjm + 1) orography not smoothed |
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real, intent(out):: zmea(:, :) ! (iim + 1, jjm + 1) smoothed orography |
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real, intent(out):: zstd(:, :) ! (iim + 1, jjm + 1) Standard deviation |
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REAL, intent(out):: zsig(:, :) ! (iim + 1, jjm + 1) Slope |
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real, intent(out):: zgam(:, :) ! (iim + 1, jjm + 1) Anisotropy |
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real, intent(out):: zthe(:, :) ! (iim + 1, jjm + 1) |
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! Orientation of the small axis |
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REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
REAL, intent(out):: zpic(:, :) ! (iim + 1, jjm + 1) Maximum altitude |
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REAL, intent(in):: zdata(:, :) ! input field |
real, intent(out):: zval(:, :) ! (iim + 1, jjm + 1) Minimum altitude |
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REAL, intent(in):: x(:), y(:) ! ccordinates output field |
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! Correlations of USN orography gradients: |
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REAL zphi(:, :) |
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real, intent(out):: zmea(:, :) ! Mean orography |
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real, intent(out):: zstd(:, :) ! Standard deviation |
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REAL zsig(:, :) ! Slope |
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real zgam(:, :) ! Anisotropy |
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real zthe(:, :) ! Orientation of the small axis |
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REAL, intent(out):: zpic(:, :) ! Maximum altitude |
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real, intent(out):: zval(:, :) ! Minimum altitude |
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real, intent(out):: mask(:, :) ! fraction of land |
real, intent(out):: mask(:, :) ! (iim + 1, jjm + 1) fraction of land |
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! Variables local to the procedure: |
! Variables local to the procedure: |
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! In this version it is assumed that the input data come from |
! In this version it is assumed that the input data come from |
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! the US Navy dataset: |
! the US Navy dataset: |
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integer, parameter:: iusn=2160, jusn=1080 |
integer, parameter:: iusn = 2160, jusn = 1080 |
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integer, parameter:: iext = 216 |
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integer, parameter:: iext=216 |
REAL xusn(iusn + 2 * iext), yusn(jusn + 2) |
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REAL xusn(iusn+2*iext), yusn(jusn+2) |
REAL zusn(iusn + 2 * iext, jusn + 2) |
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REAL zusn(iusn+2*iext, jusn+2) |
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! Intermediate fields (correlations of orography gradient) |
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! Intermediate fields (correlations of orography gradient) |
REAL, dimension(iim + 1, jjm + 1):: ztz, zxtzx, zytzy, zxtzy, weight |
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REAL ztz(iim+1, jjm+1), zxtzx(iim+1, jjm+1) |
! Correlations of US Navy orography gradients: |
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REAL zytzy(iim+1, jjm+1), zxtzy(iim+1, jjm+1) |
REAL, dimension(iusn + 2 * iext, jusn + 2):: zxtzxusn, zytzyusn, zxtzyusn |
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REAL weight(iim+1, jjm+1) |
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real, dimension(iim + 1, jjm + 1):: mask_tmp, num_tot, num_lan |
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! Correlations of USN orography gradients: |
REAL a(iim + 1), b(iim + 1), c(jjm + 1), d(jjm + 1) |
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real weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
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REAL zxtzxusn(iusn+2*iext, jusn+2), zytzyusn(iusn+2*iext, jusn+2) |
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REAL zxtzyusn(iusn+2*iext, jusn+2) |
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real mask_tmp(size(x), size(y)) |
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real num_tot(2200, 1100), num_lan(2200, 1100) |
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REAL a(2200), b(2200), c(1100), d(1100) |
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real rad, weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
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real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud |
real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud |
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real zllmpic, zllmmea, zllmgam, zllmthe, zllmstd, zllmsig, zllmval |
real zweinor, zweisud, zmeanor, zbordest |
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real zpicnor, zminthe, zsigsud, zstdnor, zstdsud, zvalsud, zvalnor |
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real zweinor, zweisud, zsignor, zpicsud, zmeanor, zbordest |
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integer ii, i, jj, j |
integer ii, i, jj, j |
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real, parameter:: rad = 6371229. |
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!------------------------------- |
!------------------------------- |
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size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & |
size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & |
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size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") |
size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") |
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IF (iim > 2200 .OR. jjm > 1099) THEN |
print *, "Parameters of subgrid-scale orography" |
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print *, "iim = ", iim, ", jjm = ", jjm |
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stop '"iim" or "jjm" is too big' |
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ENDIF |
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print *, "Paramètres de l'orographie à l'échelle sous-maille" |
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rad = 6371229. |
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zdeltay = 2. * pi / real(jusn) * rad |
zdeltay = 2. * pi / real(jusn) * rad |
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! Extension of the USN database to POCEED computations at boundaries: |
! Extension of the US Navy database for computations at boundaries: |
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DO j=1, jusn |
DO j = 1, jusn |
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yusn(j+1)=ydata(j) |
yusn(j + 1) = ydata(j) |
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DO i=1, iusn |
DO i = 1, iusn |
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zusn(i+iext, j+1)=zdata(i, j) |
zusn(i + iext, j + 1) = zdata(i, j) |
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xusn(i+iext)=xdata(i) |
xusn(i + iext) = xdata(i) |
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ENDDO |
ENDDO |
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DO i=1, iext |
DO i = 1, iext |
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zusn(i, j+1)=zdata(iusn-iext+i, j) |
zusn(i, j + 1) = zdata(iusn - iext + i, j) |
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xusn(i)=xdata(iusn-iext+i)-2.*pi |
xusn(i) = xdata(iusn - iext + i) - 2. * pi |
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zusn(iusn+iext+i, j+1)=zdata(i, j) |
zusn(iusn + iext + i, j + 1) = zdata(i, j) |
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xusn(iusn+iext+i)=xdata(i)+2.*pi |
xusn(iusn + iext + i) = xdata(i) + 2. * pi |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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yusn(1)=ydata(1)+(ydata(1)-ydata(2)) |
yusn(1) = ydata(1) + (ydata(1) - ydata(2)) |
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yusn(jusn+2)=ydata(jusn)+(ydata(jusn)-ydata(jusn-1)) |
yusn(jusn + 2) = ydata(jusn) + (ydata(jusn) - ydata(jusn - 1)) |
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DO i=1, iusn/2+iext |
DO i = 1, iusn / 2 + iext |
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zusn(i, 1)=zusn(i+iusn/2, 2) |
zusn(i, 1) = zusn(i + iusn / 2, 2) |
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zusn(i+iusn/2+iext, 1)=zusn(i, 2) |
zusn(i + iusn / 2 + iext, 1) = zusn(i, 2) |
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zusn(i, jusn+2)=zusn(i+iusn/2, jusn+1) |
zusn(i, jusn + 2) = zusn(i + iusn / 2, jusn + 1) |
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zusn(i+iusn/2+iext, jusn+2)=zusn(i, jusn+1) |
zusn(i + iusn / 2 + iext, jusn + 2) = zusn(i, jusn + 1) |
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ENDDO |
ENDDO |
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! COMPUTE LIMITS OF MODEL GRIDPOINT AREA |
! Compute limits of model gridpoint area (regular grid) |
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! ( REGULAR GRID) |
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a(1) = x(1) - (x(2)-x(1))/2.0 |
a(1) = x(1) - (x(2) - x(1)) / 2.0 |
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b(1) = (x(1)+x(2))/2.0 |
b(1) = (x(1) + x(2)) / 2.0 |
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DO i = 2, iim |
DO i = 2, iim |
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a(i) = b(i-1) |
a(i) = b(i - 1) |
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b(i) = (x(i)+x(i+1))/2.0 |
b(i) = (x(i) + x(i + 1)) / 2.0 |
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ENDDO |
ENDDO |
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a(iim+1) = b(iim) |
a(iim + 1) = b(iim) |
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b(iim+1) = x(iim+1) + (x(iim+1)-x(iim))/2.0 |
b(iim + 1) = x(iim + 1) + (x(iim + 1) - x(iim)) / 2.0 |
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c(1) = y(1) - (y(2)-y(1))/2.0 |
c(1) = y(1) - (y(2) - y(1)) / 2.0 |
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d(1) = (y(1)+y(2))/2.0 |
d(1) = (y(1) + y(2)) / 2.0 |
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DO j = 2, jjm |
DO j = 2, jjm |
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c(j) = d(j-1) |
c(j) = d(j - 1) |
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d(j) = (y(j)+y(j+1))/2.0 |
d(j) = (y(j) + y(j + 1)) / 2.0 |
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ENDDO |
ENDDO |
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c(jjm + 1) = d(jjm) |
c(jjm + 1) = d(jjm) |
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d(jjm + 1) = y(jjm + 1) + (y(jjm + 1)-y(jjm))/2.0 |
d(jjm + 1) = y(jjm + 1) + (y(jjm + 1) - y(jjm)) / 2.0 |
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! Initialisations : |
! Initialisations : |
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weight(:, :) = 0. |
weight = 0. |
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zxtzx(:, :) = 0. |
zxtzx = 0. |
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zytzy(:, :) = 0. |
zytzy = 0. |
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zxtzy(:, :) = 0. |
zxtzy = 0. |
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ztz(:, :) = 0. |
ztz = 0. |
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zmea(:, :) = 0. |
zmea = 0. |
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zpic(:, :) =-1.E+10 |
zpic = - 1E10 |
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zval(:, :) = 1.E+10 |
zval = 1E10 |
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! COMPUTE SLOPES CORRELATIONS ON USN GRID |
! Compute slopes correlations on US Navy grid |
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zytzyusn(:, :)=0. |
zytzyusn = 0. |
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zxtzxusn(:, :)=0. |
zxtzxusn = 0. |
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zxtzyusn(:, :)=0. |
zxtzyusn = 0. |
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DO j = 2, jusn+1 |
DO j = 2, jusn + 1 |
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zdeltax=zdeltay*cos(yusn(j)) |
zdeltax = zdeltay * cos(yusn(j)) |
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DO i = 2, iusn+2*iext-1 |
DO i = 2, iusn + 2 * iext - 1 |
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zytzyusn(i, j)=(zusn(i, j+1)-zusn(i, j-1))**2/zdeltay**2 |
zytzyusn(i, j) = (zusn(i, j + 1) - zusn(i, j - 1))**2 / zdeltay**2 |
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zxtzxusn(i, j)=(zusn(i+1, j)-zusn(i-1, j))**2/zdeltax**2 |
zxtzxusn(i, j) = (zusn(i + 1, j) - zusn(i - 1, j))**2 / zdeltax**2 |
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zxtzyusn(i, j)=(zusn(i, j+1)-zusn(i, j-1))/zdeltay & |
zxtzyusn(i, j) = (zusn(i, j + 1) - zusn(i, j - 1)) / zdeltay & |
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*(zusn(i+1, j)-zusn(i-1, j))/zdeltax |
* (zusn(i + 1, j) - zusn(i - 1, j)) / zdeltax |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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! SUMMATION OVER GRIDPOINT AREA |
! Summation over gridpoint area |
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zleny=pi/real(jusn)*rad |
zleny = pi / real(jusn) * rad |
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xincr=pi/2./real(jusn) |
xincr = pi / 2. / real(jusn) |
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DO ii = 1, iim+1 |
DO ii = 1, iim + 1 |
| 174 |
DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
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num_tot(ii, jj)=0. |
num_tot(ii, jj) = 0. |
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num_lan(ii, jj)=0. |
num_lan(ii, jj) = 0. |
| 177 |
DO j = 2, jusn+1 |
DO j = 2, jusn + 1 |
| 178 |
zlenx=zleny*cos(yusn(j)) |
zlenx = zleny * cos(yusn(j)) |
| 179 |
zdeltax=zdeltay*cos(yusn(j)) |
zdeltax = zdeltay * cos(yusn(j)) |
| 180 |
zbordnor=(c(jj)-yusn(j)+xincr)*rad |
zbordnor = (c(jj) - yusn(j) + xincr) * rad |
| 181 |
zbordsud=(yusn(j)-d(jj)+xincr)*rad |
zbordsud = (yusn(j) - d(jj) + xincr) * rad |
| 182 |
weighy=AMAX1(0., amin1(zbordnor, zbordsud, zleny)) |
weighy = MAX(0., min(zbordnor, zbordsud, zleny)) |
| 183 |
IF (weighy /= 0) THEN |
IF (weighy /= 0) THEN |
| 184 |
DO i = 2, iusn+2*iext-1 |
DO i = 2, iusn + 2 * iext - 1 |
| 185 |
zbordest=(xusn(i)-a(ii)+xincr)*rad*cos(yusn(j)) |
zbordest = (xusn(i) - a(ii) + xincr) * rad * cos(yusn(j)) |
| 186 |
zbordoue=(b(ii)+xincr-xusn(i))*rad*cos(yusn(j)) |
zbordoue = (b(ii) + xincr - xusn(i)) * rad * cos(yusn(j)) |
| 187 |
weighx=AMAX1(0., amin1(zbordest, zbordoue, zlenx)) |
weighx = MAX(0., min(zbordest, zbordoue, zlenx)) |
| 188 |
IF (weighx /= 0) THEN |
IF (weighx /= 0) THEN |
| 189 |
num_tot(ii, jj) = num_tot(ii, jj) + 1. |
num_tot(ii, jj) = num_tot(ii, jj) + 1. |
| 190 |
if (zusn(i, j) >= 1.) then |
if (zusn(i, j) >= 1.) then |
| 191 |
num_lan(ii, jj) = num_lan(ii, jj) + 1. |
num_lan(ii, jj) = num_lan(ii, jj) + 1. |
| 192 |
end if |
end if |
| 193 |
weight(ii, jj) = weight(ii, jj) + weighx * weighy |
weight(ii, jj) = weight(ii, jj) + weighx * weighy |
| 194 |
zxtzx(ii, jj)=zxtzx(ii, jj)+zxtzxusn(i, j)*weighx*weighy |
zxtzx(ii, jj) = zxtzx(ii, jj) & |
| 195 |
zytzy(ii, jj)=zytzy(ii, jj)+zytzyusn(i, j)*weighx*weighy |
+ zxtzxusn(i, j) * weighx * weighy |
| 196 |
zxtzy(ii, jj)=zxtzy(ii, jj)+zxtzyusn(i, j)*weighx*weighy |
zytzy(ii, jj) = zytzy(ii, jj) & |
| 197 |
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+ zytzyusn(i, j) * weighx * weighy |
| 198 |
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zxtzy(ii, jj) = zxtzy(ii, jj) & |
| 199 |
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+ zxtzyusn(i, j) * weighx * weighy |
| 200 |
ztz(ii, jj) = ztz(ii, jj) & |
ztz(ii, jj) = ztz(ii, jj) & |
| 201 |
+ zusn(i, j) * zusn(i, j) * weighx * weighy |
+ zusn(i, j) * zusn(i, j) * weighx * weighy |
| 202 |
! mean |
! mean |
| 203 |
zmea(ii, jj) =zmea(ii, jj)+zusn(i, j)*weighx*weighy |
zmea(ii, jj) = zmea(ii, jj) + zusn(i, j) * weighx * weighy |
| 204 |
! peacks |
! peacks |
| 205 |
zpic(ii, jj)=amax1(zpic(ii, jj), zusn(i, j)) |
zpic(ii, jj) = max(zpic(ii, jj), zusn(i, j)) |
| 206 |
! valleys |
! valleys |
| 207 |
zval(ii, jj)=amin1(zval(ii, jj), zusn(i, j)) |
zval(ii, jj) = min(zval(ii, jj), zusn(i, j)) |
| 208 |
ENDIF |
ENDIF |
| 209 |
ENDDO |
ENDDO |
| 210 |
ENDIF |
ENDIF |
| 212 |
ENDDO |
ENDDO |
| 213 |
ENDDO |
ENDDO |
| 214 |
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| 215 |
if (any(weight == 0.)) stop "zero weight in grid_noro" |
if (any(weight == 0.)) then |
| 216 |
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print *, "zero weight in grid_noro" |
| 217 |
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stop 1 |
| 218 |
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end if |
| 219 |
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| 220 |
! COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND |
! Compute parameters needed by the Lott & Miller (1997) and Lott |
| 221 |
! LOTT (1999) SSO SCHEME. |
! (1999) subgrid-scale orographic scheme. |
| 222 |
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| 223 |
zllmmea=0. |
DO ii = 1, iim + 1 |
|
zllmstd=0. |
|
|
zllmsig=0. |
|
|
zllmgam=0. |
|
|
zllmpic=0. |
|
|
zllmval=0. |
|
|
zllmthe=0. |
|
|
zminthe=0. |
|
|
DO ii = 1, iim+1 |
|
| 224 |
DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
| 225 |
mask(ii, jj) = num_lan(ii, jj)/num_tot(ii, jj) |
mask(ii, jj) = num_lan(ii, jj) / num_tot(ii, jj) |
| 226 |
! Mean Orography: |
! Mean orography: |
| 227 |
zmea (ii, jj)=zmea (ii, jj)/weight(ii, jj) |
zmea (ii, jj) = zmea (ii, jj) / weight(ii, jj) |
| 228 |
zxtzx(ii, jj)=zxtzx(ii, jj)/weight(ii, jj) |
zxtzx(ii, jj) = zxtzx(ii, jj) / weight(ii, jj) |
| 229 |
zytzy(ii, jj)=zytzy(ii, jj)/weight(ii, jj) |
zytzy(ii, jj) = zytzy(ii, jj) / weight(ii, jj) |
| 230 |
zxtzy(ii, jj)=zxtzy(ii, jj)/weight(ii, jj) |
zxtzy(ii, jj) = zxtzy(ii, jj) / weight(ii, jj) |
| 231 |
ztz(ii, jj) =ztz(ii, jj)/weight(ii, jj) |
ztz(ii, jj) = ztz(ii, jj) / weight(ii, jj) |
| 232 |
! Standard deviation: |
! Standard deviation: |
| 233 |
zstd(ii, jj)=sqrt(MAX(0., ztz(ii, jj) - zmea(ii, jj)**2)) |
zstd(ii, jj) = sqrt(MAX(0., ztz(ii, jj) - zmea(ii, jj)**2)) |
| 234 |
ENDDO |
ENDDO |
| 235 |
ENDDO |
ENDDO |
| 236 |
|
|
| 237 |
! CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: |
! Correct values of horizontal slope near the poles: |
| 238 |
|
DO ii = 1, iim + 1 |
| 239 |
DO ii = 1, iim+1 |
zxtzx(ii, 1) = zxtzx(ii, 2) |
| 240 |
zxtzx(ii, 1)=zxtzx(ii, 2) |
zxtzx(ii, jjm + 1) = zxtzx(ii, jjm) |
| 241 |
zxtzx(ii, jjm + 1)=zxtzx(ii, jjm) |
zxtzy(ii, 1) = zxtzy(ii, 2) |
| 242 |
zxtzy(ii, 1)=zxtzy(ii, 2) |
zxtzy(ii, jjm + 1) = zxtzy(ii, jjm) |
| 243 |
zxtzy(ii, jjm + 1)=zxtzy(ii, jjm) |
zytzy(ii, 1) = zytzy(ii, 2) |
| 244 |
zytzy(ii, 1)=zytzy(ii, 2) |
zytzy(ii, jjm + 1) = zytzy(ii, jjm) |
|
zytzy(ii, jjm + 1)=zytzy(ii, jjm) |
|
| 245 |
ENDDO |
ENDDO |
| 246 |
|
|
| 247 |
! FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME. |
! Masque prenant en compte maximum de terre. On met un seuil \`a 10 |
| 248 |
|
! % de terre car en dessous les param\`etres de surface n'ont pas de |
| 249 |
|
! sens. |
| 250 |
|
mask_tmp = merge(1., 0., mask >= 0.1) |
| 251 |
|
|
| 252 |
! FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. |
zphi(:iim, :) = zmea(:iim, :) * mask_tmp(:iim, :) |
| 253 |
|
! (zmea is not yet smoothed) |
| 254 |
|
|
| 255 |
|
! Filters to smooth out fields for input into subgrid-scale |
| 256 |
|
! orographic scheme. |
| 257 |
|
|
| 258 |
|
! First filter, moving average over 9 points. |
| 259 |
CALL MVA9(zmea) |
CALL MVA9(zmea) |
| 260 |
CALL MVA9(zstd) |
CALL MVA9(zstd) |
| 261 |
CALL MVA9(zpic) |
CALL MVA9(zpic) |
| 264 |
CALL MVA9(zxtzy) |
CALL MVA9(zxtzy) |
| 265 |
CALL MVA9(zytzy) |
CALL MVA9(zytzy) |
| 266 |
|
|
|
! Masque prenant en compte maximum de terre |
|
|
! On seuil a 10% de terre de terre car en dessous les parametres |
|
|
! de surface n'ont pas de sens (PB) |
|
|
mask_tmp= 0. |
|
|
WHERE (mask >= 0.1) mask_tmp = 1. |
|
|
|
|
| 267 |
DO ii = 1, iim |
DO ii = 1, iim |
| 268 |
DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
| 269 |
IF (weight(ii, jj) /= 0.) THEN |
! Coefficients K, L et M: |
| 270 |
! Coefficients K, L et M: |
xk = (zxtzx(ii, jj) + zytzy(ii, jj)) / 2. |
| 271 |
xk=(zxtzx(ii, jj)+zytzy(ii, jj))/2. |
xl = (zxtzx(ii, jj) - zytzy(ii, jj)) / 2. |
| 272 |
xl=(zxtzx(ii, jj)-zytzy(ii, jj))/2. |
xm = zxtzy(ii, jj) |
| 273 |
xm=zxtzy(ii, jj) |
xp = xk - sqrt(xl**2 + xm**2) |
| 274 |
xp=xk-sqrt(xl**2+xm**2) |
xq = xk + sqrt(xl**2 + xm**2) |
| 275 |
xq=xk+sqrt(xl**2+xm**2) |
xw = 1e-8 |
| 276 |
xw=1.e-8 |
if (xp <= xw) xp = 0. |
| 277 |
if(xp.le.xw) xp=0. |
if (xq <= xw) xq = xw |
| 278 |
if(xq.le.xw) xq=xw |
if (abs(xm) <= xw) xm = xw * sign(1., xm) |
| 279 |
if(abs(xm).le.xw) xm=xw*sign(1., xm) |
! modification pour masque de terre fractionnaire |
| 280 |
!$$* PB modif pour maque de terre fractionnaire |
! slope: |
| 281 |
! slope: |
zsig(ii, jj) = sqrt(xq) * mask_tmp(ii, jj) |
| 282 |
zsig(ii, jj)=sqrt(xq)*mask_tmp(ii, jj) |
! isotropy: |
| 283 |
! isotropy: |
zgam(ii, jj) = xp / xq * mask_tmp(ii, jj) |
| 284 |
zgam(ii, jj)=xp/xq*mask_tmp(ii, jj) |
! angle theta: |
| 285 |
! angle theta: |
zthe(ii, jj) = 57.29577951 * atan2(xm, xl) / 2. * mask_tmp(ii, jj) |
|
zthe(ii, jj)=57.29577951*atan2(xm, xl)/2.*mask_tmp(ii, jj) |
|
|
zphi(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) |
|
|
zmea(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) |
|
|
zpic(ii, jj)=zpic(ii, jj)*mask_tmp(ii, jj) |
|
|
zval(ii, jj)=zval(ii, jj)*mask_tmp(ii, jj) |
|
|
zstd(ii, jj)=zstd(ii, jj)*mask_tmp(ii, jj) |
|
|
ENDIF |
|
|
zllmmea=AMAX1(zmea(ii, jj), zllmmea) |
|
|
zllmstd=AMAX1(zstd(ii, jj), zllmstd) |
|
|
zllmsig=AMAX1(zsig(ii, jj), zllmsig) |
|
|
zllmgam=AMAX1(zgam(ii, jj), zllmgam) |
|
|
zllmthe=AMAX1(zthe(ii, jj), zllmthe) |
|
|
zminthe=amin1(zthe(ii, jj), zminthe) |
|
|
zllmpic=AMAX1(zpic(ii, jj), zllmpic) |
|
|
zllmval=AMAX1(zval(ii, jj), zllmval) |
|
| 286 |
ENDDO |
ENDDO |
| 287 |
ENDDO |
ENDDO |
|
print *, 'MEAN ORO: ', zllmmea |
|
|
print *, 'ST. DEV.: ', zllmstd |
|
|
print *, 'PENTE: ', zllmsig |
|
|
print *, 'ANISOTROP: ', zllmgam |
|
|
print *, 'ANGLE: ', zminthe, zllmthe |
|
|
print *, 'pic: ', zllmpic |
|
|
print *, 'val: ', zllmval |
|
|
|
|
|
! gamma and theta a 1. and 0. at poles |
|
|
zmea(iim+1, :)=zmea(1, :) |
|
|
zphi(iim+1, :)=zphi(1, :) |
|
|
zpic(iim+1, :)=zpic(1, :) |
|
|
zval(iim+1, :)=zval(1, :) |
|
|
zstd(iim+1, :)=zstd(1, :) |
|
|
zsig(iim+1, :)=zsig(1, :) |
|
|
zgam(iim+1, :)=zgam(1, :) |
|
|
zthe(iim+1, :)=zthe(1, :) |
|
|
|
|
|
zmeanor=0. |
|
|
zmeasud=0. |
|
|
zstdnor=0. |
|
|
zstdsud=0. |
|
|
zsignor=0. |
|
|
zsigsud=0. |
|
|
zweinor=0. |
|
|
zweisud=0. |
|
|
zpicnor=0. |
|
|
zpicsud=0. |
|
|
zvalnor=0. |
|
|
zvalsud=0. |
|
|
|
|
|
DO ii=1, iim |
|
|
zweinor=zweinor+ weight(ii, 1) |
|
|
zweisud=zweisud+ weight(ii, jjm + 1) |
|
|
zmeanor=zmeanor+zmea(ii, 1)*weight(ii, 1) |
|
|
zmeasud=zmeasud+zmea(ii, jjm + 1)*weight(ii, jjm + 1) |
|
|
zstdnor=zstdnor+zstd(ii, 1)*weight(ii, 1) |
|
|
zstdsud=zstdsud+zstd(ii, jjm + 1)*weight(ii, jjm + 1) |
|
|
zsignor=zsignor+zsig(ii, 1)*weight(ii, 1) |
|
|
zsigsud=zsigsud+zsig(ii, jjm + 1)*weight(ii, jjm + 1) |
|
|
zpicnor=zpicnor+zpic(ii, 1)*weight(ii, 1) |
|
|
zpicsud=zpicsud+zpic(ii, jjm + 1)*weight(ii, jjm + 1) |
|
|
zvalnor=zvalnor+zval(ii, 1)*weight(ii, 1) |
|
|
zvalsud=zvalsud+zval(ii, jjm + 1)*weight(ii, jjm + 1) |
|
|
ENDDO |
|
|
|
|
|
zmea(:, 1)=zmeanor/zweinor |
|
|
zmea(:, jjm + 1)=zmeasud/zweisud |
|
|
|
|
|
zphi(:, 1)=zmeanor/zweinor |
|
|
zphi(:, jjm + 1)=zmeasud/zweisud |
|
|
|
|
|
zpic(:, 1)=zpicnor/zweinor |
|
|
zpic(:, jjm + 1)=zpicsud/zweisud |
|
|
|
|
|
zval(:, 1)=zvalnor/zweinor |
|
|
zval(:, jjm + 1)=zvalsud/zweisud |
|
|
|
|
|
zstd(:, 1)=zstdnor/zweinor |
|
|
zstd(:, jjm + 1)=zstdsud/zweisud |
|
| 288 |
|
|
| 289 |
zsig(:, 1)=zsignor/zweinor |
zmea(:iim, :) = zmea(:iim, :) * mask_tmp(:iim, :) |
| 290 |
zsig(:, jjm + 1)=zsigsud/zweisud |
zpic(:iim, :) = zpic(:iim, :) * mask_tmp(:iim, :) |
| 291 |
|
zval(:iim, :) = zval(:iim, :) * mask_tmp(:iim, :) |
| 292 |
|
zstd(:iim, :) = zstd(:iim, :) * mask_tmp(:iim, :) |
| 293 |
|
|
| 294 |
|
print *, 'MEAN ORO: ', MAXVAL(zmea(:iim, :)) |
| 295 |
|
print *, 'ST. DEV.: ', MAXVAL(zstd(:iim, :)) |
| 296 |
|
print *, 'PENTE: ', MAXVAL(zsig(:iim, :)) |
| 297 |
|
print *, 'ANISOTROP: ', MAXVAL(zgam(:iim, :)) |
| 298 |
|
print *, 'ANGLE: ', minval(zthe(:iim, :)), MAXVAL(zthe(:iim, :)) |
| 299 |
|
print *, 'pic: ', MAXVAL(zpic(:iim, :)) |
| 300 |
|
print *, 'val: ', MAXVAL(zval(:iim, :)) |
| 301 |
|
|
| 302 |
|
! gamma and theta at 1. and 0. at poles |
| 303 |
|
zmea(iim + 1, :) = zmea(1, :) |
| 304 |
|
zphi(iim + 1, :) = zphi(1, :) |
| 305 |
|
zpic(iim + 1, :) = zpic(1, :) |
| 306 |
|
zval(iim + 1, :) = zval(1, :) |
| 307 |
|
zstd(iim + 1, :) = zstd(1, :) |
| 308 |
|
zsig(iim + 1, :) = zsig(1, :) |
| 309 |
|
zgam(iim + 1, :) = zgam(1, :) |
| 310 |
|
zthe(iim + 1, :) = zthe(1, :) |
| 311 |
|
|
| 312 |
|
zweinor = sum(weight(:iim, 1)) |
| 313 |
|
zweisud = sum(weight(:iim, jjm + 1)) |
| 314 |
|
zmeanor = sum(zmea(:iim, 1) * weight(:iim, 1)) |
| 315 |
|
zmeasud = sum(zmea(:iim, jjm + 1) * weight(:iim, jjm + 1)) |
| 316 |
|
|
| 317 |
|
zmea(:, 1) = zmeanor / zweinor |
| 318 |
|
zmea(:, jjm + 1) = zmeasud / zweisud |
| 319 |
|
|
| 320 |
|
zphi(:, 1) = zmeanor / zweinor |
| 321 |
|
zphi(:, jjm + 1) = zmeasud / zweisud |
| 322 |
|
|
| 323 |
|
zpic(:, 1) = sum(zpic(:iim, 1) * weight(:iim, 1)) / zweinor |
| 324 |
|
zpic(:, jjm + 1) = sum(zpic(:iim, jjm + 1) * weight(:iim, jjm + 1)) & |
| 325 |
|
/ zweisud |
| 326 |
|
|
| 327 |
|
zval(:, 1) = sum(zval(:iim, 1) * weight(:iim, 1)) / zweinor |
| 328 |
|
zval(:, jjm + 1) = sum(zval(:iim, jjm + 1) * weight(:iim, jjm + 1)) & |
| 329 |
|
/ zweisud |
| 330 |
|
|
| 331 |
|
zstd(:, 1) = sum(zstd(:iim, 1) * weight(:iim, 1)) / zweinor |
| 332 |
|
zstd(:, jjm + 1) = sum(zstd(:iim, jjm + 1) * weight(:iim, jjm + 1)) & |
| 333 |
|
/ zweisud |
| 334 |
|
|
| 335 |
|
zsig(:, 1) = sum(zsig(:iim, 1) * weight(:iim, 1)) / zweinor |
| 336 |
|
zsig(:, jjm + 1) = sum(zsig(:iim, jjm + 1) * weight(:iim, jjm + 1)) & |
| 337 |
|
/ zweisud |
| 338 |
|
|
| 339 |
zgam(:, 1)=1. |
zgam(:, 1) = 1. |
| 340 |
zgam(:, jjm + 1)=1. |
zgam(:, jjm + 1) = 1. |
| 341 |
|
|
| 342 |
zthe(:, 1)=0. |
zthe(:, 1) = 0. |
| 343 |
zthe(:, jjm + 1)=0. |
zthe(:, jjm + 1) = 0. |
| 344 |
|
|
| 345 |
END SUBROUTINE grid_noro |
END SUBROUTINE grid_noro |
| 346 |
|
|
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