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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: François 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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! 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 from |
! gridpoint region. The means over this region are calculated from |
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! USN data, ponderated by a weight proportional to the surface |
! US Navy data, ponderated by a weight proportional to the surface |
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! occupied by the data inside the model gridpoint area. In most |
! occupied by the data inside the model gridpoint area. In most |
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! circumstances, this weight is the ratio between the surface of |
! circumstances, this weight is the ratio between the surface of |
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! the USN gridpoint area and the surface of the model gridpoint |
! the US Navy gridpoint area and the surface of the model gridpoint |
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! area. See "grid_noto.txt". |
! area. See "grid_noto.txt". |
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use dimens_m, only: iim, jjm |
use dimens_m, only: iim, jjm |
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REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
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REAL, intent(in):: zdata(:, :) ! input field |
REAL, intent(in):: zdata(:, :) ! input field |
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REAL, intent(in):: x(:), y(:) ! ccordinates output field |
REAL, intent(in):: x(:), y(:) ! coordinates of output field |
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! Correlations of USN orography gradients: |
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! Correlations of US Navy orography gradients: |
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REAL, intent(out):: zphi(:, :) |
REAL, intent(out):: zphi(:, :) |
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real, intent(out):: zmea(:, :) ! Mean orography |
real, intent(out):: zmea(:, :) ! Mean orography |
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real, intent(out):: zstd(:, :) ! Standard deviation |
real, intent(out):: zstd(:, :) ! Standard deviation |
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REAL zsig(:, :) ! Slope |
REAL, intent(out):: zsig(:, :) ! Slope |
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real zgam(:, :) ! Anisotropy |
real, intent(out):: zgam(:, :) ! Anisotropy |
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real zthe(:, :) ! Orientation of the small axis |
real, intent(out):: zthe(:, :) ! Orientation of the small axis |
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REAL, intent(out):: zpic(:, :) ! Maximum altitude |
REAL, intent(out):: zpic(:, :) ! Maximum altitude |
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real, intent(out):: zval(:, :) ! Minimum altitude |
real, intent(out):: zval(:, :) ! Minimum altitude |
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REAL zusn(iusn + 2 * iext, jusn + 2) |
REAL zusn(iusn + 2 * iext, jusn + 2) |
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! Intermediate fields (correlations of orography gradient) |
! Intermediate fields (correlations of orography gradient) |
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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) |
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REAL weight(iim + 1, jjm + 1) |
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! Correlations of USN orography gradients: |
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REAL, dimension(iusn + 2 * iext, jusn + 2):: zxtzxusn, zytzyusn, zxtzyusn |
REAL, dimension(iusn + 2 * iext, jusn + 2):: zxtzxusn, zytzyusn, zxtzyusn |
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real mask_tmp(size(x), size(y)) |
real, dimension(iim + 1, jjm + 1):: mask_tmp, num_tot, num_lan, zmea0 |
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real num_tot(iim + 1, jjm + 1), num_lan(iim + 1, jjm + 1) |
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REAL a(iim + 1), b(iim + 1), c(jjm + 1), d(jjm + 1) |
REAL a(iim + 1), b(iim + 1), c(jjm + 1), d(jjm + 1) |
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real rad, weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
real 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 zllmpic, zllmmea, zllmgam, zllmthe, zllmstd, zllmsig, zllmval |
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real zpicnor, zminthe, zsigsud, zstdnor, zstdsud, zvalsud, zvalnor |
real zpicnor, zminthe, zsigsud, zstdnor, zstdsud, zvalsud, zvalnor |
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real zweinor, zweisud, zsignor, zpicsud, zmeanor, zbordest |
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(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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print *, "Paramètres de l'orographie à l'échelle sous-maille" |
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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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 (REGULAR GRID) |
! Compute limits of model gridpoint area (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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zpic = - 1E10 |
zpic = - 1E10 |
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zval = 1E10 |
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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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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zdeltax = zdeltay * cos(yusn(j)) |
zdeltax = zdeltay * cos(yusn(j)) |
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zbordnor = (c(jj) - yusn(j) + xincr) * rad |
zbordnor = (c(jj) - yusn(j) + xincr) * rad |
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zbordsud = (yusn(j) - d(jj) + xincr) * rad |
zbordsud = (yusn(j) - d(jj) + xincr) * rad |
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weighy = AMAX1(0., amin1(zbordnor, zbordsud, zleny)) |
weighy = MAX(0., min(zbordnor, zbordsud, zleny)) |
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IF (weighy /= 0) THEN |
IF (weighy /= 0) THEN |
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DO i = 2, iusn + 2 * iext - 1 |
DO i = 2, iusn + 2 * iext - 1 |
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zbordest = (xusn(i) - a(ii) + xincr) * rad * cos(yusn(j)) |
zbordest = (xusn(i) - a(ii) + xincr) * rad * cos(yusn(j)) |
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zbordoue = (b(ii) + xincr - xusn(i)) * rad * cos(yusn(j)) |
zbordoue = (b(ii) + xincr - xusn(i)) * rad * cos(yusn(j)) |
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weighx = AMAX1(0., amin1(zbordest, zbordoue, zlenx)) |
weighx = MAX(0., min(zbordest, zbordoue, zlenx)) |
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IF (weighx /= 0) THEN |
IF (weighx /= 0) THEN |
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num_tot(ii, jj) = num_tot(ii, jj) + 1. |
num_tot(ii, jj) = num_tot(ii, jj) + 1. |
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if (zusn(i, j) >= 1.) then |
if (zusn(i, j) >= 1.) then |
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! mean |
! mean |
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zmea(ii, jj) = zmea(ii, jj) + zusn(i, j) * weighx * weighy |
zmea(ii, jj) = zmea(ii, jj) + zusn(i, j) * weighx * weighy |
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! peacks |
! peacks |
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zpic(ii, jj) = amax1(zpic(ii, jj), zusn(i, j)) |
zpic(ii, jj) = max(zpic(ii, jj), zusn(i, j)) |
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! valleys |
! valleys |
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zval(ii, jj) = amin1(zval(ii, jj), zusn(i, j)) |
zval(ii, jj) = min(zval(ii, jj), zusn(i, j)) |
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ENDIF |
ENDIF |
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ENDDO |
ENDDO |
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ENDIF |
ENDIF |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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if (any(weight == 0.)) stop "zero weight in grid_noro" |
if (any(weight == 0.)) then |
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print *, "zero weight in grid_noro" |
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stop 1 |
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end if |
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! COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND |
! Compute parameters needed by the Lott & Miller (1997) and Lott |
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! LOTT (1999) SSO SCHEME. |
! (1999) subgrid-scale orographic scheme. |
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zllmmea = 0. |
zllmmea = 0. |
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zllmstd = 0. |
zllmstd = 0. |
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DO ii = 1, iim + 1 |
DO ii = 1, iim + 1 |
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DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
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mask(ii, jj) = num_lan(ii, jj) / num_tot(ii, jj) |
mask(ii, jj) = num_lan(ii, jj) / num_tot(ii, jj) |
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! Mean Orography: |
! Mean orography: |
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zmea (ii, jj) = zmea (ii, jj) / weight(ii, jj) |
zmea (ii, jj) = zmea (ii, jj) / weight(ii, jj) |
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zxtzx(ii, jj) = zxtzx(ii, jj) / weight(ii, jj) |
zxtzx(ii, jj) = zxtzx(ii, jj) / weight(ii, jj) |
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zytzy(ii, jj) = zytzy(ii, jj) / weight(ii, jj) |
zytzy(ii, jj) = zytzy(ii, jj) / weight(ii, jj) |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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! CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: |
! Correct values of horizontal slope near the poles: |
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DO ii = 1, iim + 1 |
DO ii = 1, iim + 1 |
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zxtzx(ii, 1) = zxtzx(ii, 2) |
zxtzx(ii, 1) = zxtzx(ii, 2) |
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zxtzx(ii, jjm + 1) = zxtzx(ii, jjm) |
zxtzx(ii, jjm + 1) = zxtzx(ii, jjm) |
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zytzy(ii, jjm + 1) = zytzy(ii, jjm) |
zytzy(ii, jjm + 1) = zytzy(ii, jjm) |
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ENDDO |
ENDDO |
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! FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME. |
zmea0 = zmea ! not smoothed |
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! Filters to smooth out fields for input into subgrid-scale |
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! orographic scheme. |
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! FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. |
! First filter, moving average over 9 points. |
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CALL MVA9(zmea) |
CALL MVA9(zmea) |
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CALL MVA9(zstd) |
CALL MVA9(zstd) |
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CALL MVA9(zpic) |
CALL MVA9(zpic) |
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CALL MVA9(zxtzy) |
CALL MVA9(zxtzy) |
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CALL MVA9(zytzy) |
CALL MVA9(zytzy) |
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! Masque prenant en compte maximum de terre. On seuille à 10 % de |
! Masque prenant en compte maximum de terre. On met un seuil à 10 |
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! terre car en dessous les paramètres de surface n'ont pas de |
! % de terre car en dessous les paramètres de surface n'ont pas de |
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! sens. |
! sens. |
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mask_tmp = 0. |
mask_tmp = merge(1., 0., mask >= 0.1) |
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WHERE (mask >= 0.1) mask_tmp = 1. |
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DO ii = 1, iim |
DO ii = 1, iim |
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DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
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zgam(ii, jj) = xp / xq * mask_tmp(ii, jj) |
zgam(ii, jj) = xp / xq * mask_tmp(ii, jj) |
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! angle theta: |
! angle theta: |
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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) |
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zphi(ii, jj) = zmea(ii, jj) * mask_tmp(ii, jj) |
zphi(ii, jj) = zmea0(ii, jj) * mask_tmp(ii, jj) |
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zmea(ii, jj) = zmea(ii, jj) * mask_tmp(ii, jj) |
zmea(ii, jj) = zmea(ii, jj) * mask_tmp(ii, jj) |
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zpic(ii, jj) = zpic(ii, jj) * mask_tmp(ii, jj) |
zpic(ii, jj) = zpic(ii, jj) * mask_tmp(ii, jj) |
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zval(ii, jj) = zval(ii, jj) * mask_tmp(ii, jj) |
zval(ii, jj) = zval(ii, jj) * mask_tmp(ii, jj) |
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zstd(ii, jj) = zstd(ii, jj) * mask_tmp(ii, jj) |
zstd(ii, jj) = zstd(ii, jj) * mask_tmp(ii, jj) |
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zllmmea = AMAX1(zmea(ii, jj), zllmmea) |
zllmmea = MAX(zmea(ii, jj), zllmmea) |
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zllmstd = AMAX1(zstd(ii, jj), zllmstd) |
zllmstd = MAX(zstd(ii, jj), zllmstd) |
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zllmsig = AMAX1(zsig(ii, jj), zllmsig) |
zllmsig = MAX(zsig(ii, jj), zllmsig) |
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zllmgam = AMAX1(zgam(ii, jj), zllmgam) |
zllmgam = MAX(zgam(ii, jj), zllmgam) |
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zllmthe = AMAX1(zthe(ii, jj), zllmthe) |
zllmthe = MAX(zthe(ii, jj), zllmthe) |
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zminthe = amin1(zthe(ii, jj), zminthe) |
zminthe = min(zthe(ii, jj), zminthe) |
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zllmpic = AMAX1(zpic(ii, jj), zllmpic) |
zllmpic = MAX(zpic(ii, jj), zllmpic) |
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zllmval = AMAX1(zval(ii, jj), zllmval) |
zllmval = MAX(zval(ii, jj), zllmval) |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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