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module grid_noro_m |
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|
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! Clean: no C preprocessor directive, no include line |
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|
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implicit none |
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|
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private mva9 |
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|
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contains |
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|
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SUBROUTINE grid_noro(xdata, ydata, zdata, x, y, zphi, zmea, zstd, zsig, & |
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zgam, zthe, zpic, zval, mask) |
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|
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! From dyn3d/grid_noro.F, version 1.1.1.1 2004/05/19 12:53:06 |
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|
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! Authors: F. Lott, Z. X. Li, A. Harzallah and L. Fairhead |
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|
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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: |
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! jjm+1 latitudes including North and South Poles; |
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! 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. |
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|
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! 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 |
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! from USN data, ponderated by a weight proportional to the |
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! surface occupied by the data inside the model gridpoint area. |
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! In most circumstances, this weight is the ratio between the |
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! surface of the USN gridpoint area and the surface of the |
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! model gridpoint area. |
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|
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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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|
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use dimens_m, only: iim, jjm |
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use comconst, only: pi |
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use numer_rec, only: assert |
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|
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REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
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REAL, intent(in):: zdata(:, :) ! input field |
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REAL, intent(in):: x(:), y(:) ! ccordinates output field |
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|
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! Correlations of USN orography gradients: |
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|
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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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|
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real, intent(out):: mask(:, :) ! fraction of land |
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|
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! Variables local to the procedure: |
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|
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! In this version it is assumed that the input data come from |
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! the US Navy dataset: |
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integer, parameter:: iusn=2160, jusn=1080 |
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|
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integer, parameter:: iext=216 |
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REAL xusn(iusn+2*iext), yusn(jusn+2) |
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REAL zusn(iusn+2*iext, jusn+2) |
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|
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! Intermediate fields (correlations of orography gradient) |
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|
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REAL ztz(iim+1, jjm+1), zxtzx(iim+1, jjm+1) |
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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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|
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! Correlations of USN orography gradients: |
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|
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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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|
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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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|
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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 |
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real zllmpic, zllmmea, zllmgam, zllmthe, zllmstd, zllmsig, zllmval |
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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 |
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|
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!------------------------------- |
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|
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print *, "Call sequence information: grid_noro" |
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|
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call assert((/size(xdata), size(zdata, 1)/) == iusn, "grid_noro iusn") |
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call assert((/size(ydata), size(zdata, 2)/) == jusn, "grid_noro jusn") |
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|
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call assert((/size(x), size(zphi, 1), size(zmea, 1), size(zstd, 1), & |
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size(zsig, 1), size(zgam, 1), size(zthe, 1), size(zpic, 1), & |
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size(zval, 1), size(mask, 1)/) == iim + 1, "grid_noro iim") |
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|
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call assert((/size(y), size(zphi, 2), size(zmea, 2), size(zstd, 2), & |
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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") |
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|
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IF (iim > 2200 .OR. jjm > 1099) THEN |
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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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|
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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 |
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|
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! Extension of the USN database to POCEED computations at boundaries: |
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|
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DO j=1, jusn |
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yusn(j+1)=ydata(j) |
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DO i=1, iusn |
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zusn(i+iext, j+1)=zdata(i, j) |
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xusn(i+iext)=xdata(i) |
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ENDDO |
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DO i=1, iext |
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zusn(i, j+1)=zdata(iusn-iext+i, j) |
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xusn(i)=xdata(iusn-iext+i)-2.*pi |
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zusn(iusn+iext+i, j+1)=zdata(i, j) |
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xusn(iusn+iext+i)=xdata(i)+2.*pi |
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ENDDO |
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ENDDO |
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|
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yusn(1)=ydata(1)+(ydata(1)-ydata(2)) |
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yusn(jusn+2)=ydata(jusn)+(ydata(jusn)-ydata(jusn-1)) |
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DO i=1, iusn/2+iext |
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zusn(i, 1)=zusn(i+iusn/2, 2) |
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zusn(i+iusn/2+iext, 1)=zusn(i, 2) |
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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) |
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ENDDO |
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|
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! COMPUTE LIMITS OF MODEL GRIDPOINT AREA |
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! ( REGULAR GRID) |
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|
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a(1) = x(1) - (x(2)-x(1))/2.0 |
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b(1) = (x(1)+x(2))/2.0 |
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DO i = 2, iim |
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a(i) = b(i-1) |
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b(i) = (x(i)+x(i+1))/2.0 |
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ENDDO |
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a(iim+1) = b(iim) |
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b(iim+1) = x(iim+1) + (x(iim+1)-x(iim))/2.0 |
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|
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c(1) = y(1) - (y(2)-y(1))/2.0 |
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d(1) = (y(1)+y(2))/2.0 |
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DO j = 2, jjm |
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c(j) = d(j-1) |
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d(j) = (y(j)+y(j+1))/2.0 |
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ENDDO |
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c(jjm + 1) = d(jjm) |
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d(jjm + 1) = y(jjm + 1) + (y(jjm + 1)-y(jjm))/2.0 |
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|
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! Initialisations : |
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weight(:, :) = 0. |
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zxtzx(:, :) = 0. |
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zytzy(:, :) = 0. |
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zxtzy(:, :) = 0. |
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ztz(:, :) = 0. |
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zmea(:, :) = 0. |
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zpic(:, :) =-1.E+10 |
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zval(:, :) = 1.E+10 |
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|
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! COMPUTE SLOPES CORRELATIONS ON USN GRID |
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|
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zytzyusn(:, :)=0. |
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zxtzxusn(:, :)=0. |
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zxtzyusn(:, :)=0. |
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|
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DO j = 2, jusn+1 |
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zdeltax=zdeltay*cos(yusn(j)) |
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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 |
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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 & |
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*(zusn(i+1, j)-zusn(i-1, j))/zdeltax |
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ENDDO |
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ENDDO |
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|
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! SUMMATION OVER GRIDPOINT AREA |
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|
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zleny=pi/real(jusn)*rad |
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xincr=pi/2./real(jusn) |
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DO ii = 1, iim+1 |
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DO jj = 1, jjm + 1 |
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num_tot(ii, jj)=0. |
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num_lan(ii, jj)=0. |
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DO j = 2, jusn+1 |
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zlenx=zleny*cos(yusn(j)) |
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zdeltax=zdeltay*cos(yusn(j)) |
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zbordnor=(c(jj)-yusn(j)+xincr)*rad |
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zbordsud=(yusn(j)-d(jj)+xincr)*rad |
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weighy=AMAX1(0., amin1(zbordnor, zbordsud, zleny)) |
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IF (weighy /= 0) THEN |
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DO i = 2, iusn+2*iext-1 |
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zbordest=(xusn(i)-a(ii)+xincr)*rad*cos(yusn(j)) |
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zbordoue=(b(ii)+xincr-xusn(i))*rad*cos(yusn(j)) |
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weighx=AMAX1(0., amin1(zbordest, zbordoue, zlenx)) |
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IF (weighx /= 0) THEN |
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num_tot(ii, jj) = num_tot(ii, jj) + 1. |
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if (zusn(i, j) >= 1.) then |
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num_lan(ii, jj) = num_lan(ii, jj) + 1. |
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end if |
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weight(ii, jj) = weight(ii, jj) + weighx * weighy |
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zxtzx(ii, jj)=zxtzx(ii, jj)+zxtzxusn(i, j)*weighx*weighy |
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zytzy(ii, jj)=zytzy(ii, jj)+zytzyusn(i, j)*weighx*weighy |
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zxtzy(ii, jj)=zxtzy(ii, jj)+zxtzyusn(i, j)*weighx*weighy |
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ztz(ii, jj) = ztz(ii, jj) & |
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+ zusn(i, j) * zusn(i, j) * weighx * weighy |
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! mean |
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zmea(ii, jj) =zmea(ii, jj)+zusn(i, j)*weighx*weighy |
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! peacks |
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zpic(ii, jj)=amax1(zpic(ii, jj), zusn(i, j)) |
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! valleys |
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zval(ii, jj)=amin1(zval(ii, jj), zusn(i, j)) |
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ENDIF |
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ENDDO |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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if (any(weight == 0.)) stop "zero weight in grid_noro" |
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|
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! COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND |
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! LOTT (1999) SSO SCHEME. |
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|
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zllmmea=0. |
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zllmstd=0. |
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zllmsig=0. |
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zllmgam=0. |
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zllmpic=0. |
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zllmval=0. |
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zllmthe=0. |
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zminthe=0. |
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DO ii = 1, iim+1 |
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DO jj = 1, jjm + 1 |
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mask(ii, jj) = num_lan(ii, jj)/num_tot(ii, jj) |
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! Mean Orography: |
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zmea (ii, jj)=zmea (ii, jj)/weight(ii, jj) |
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zxtzx(ii, jj)=zxtzx(ii, jj)/weight(ii, jj) |
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zytzy(ii, jj)=zytzy(ii, jj)/weight(ii, jj) |
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zxtzy(ii, jj)=zxtzy(ii, jj)/weight(ii, jj) |
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ztz(ii, jj) =ztz(ii, jj)/weight(ii, jj) |
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! Standard deviation: |
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zstd(ii, jj)=sqrt(AMAX1(0., ztz(ii, jj)-zmea(ii, jj)**2)) |
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ENDDO |
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ENDDO |
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|
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! CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: |
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|
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DO ii = 1, iim+1 |
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zxtzx(ii, 1)=zxtzx(ii, 2) |
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zxtzx(ii, jjm + 1)=zxtzx(ii, jjm) |
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zxtzy(ii, 1)=zxtzy(ii, 2) |
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zxtzy(ii, jjm + 1)=zxtzy(ii, jjm) |
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zytzy(ii, 1)=zytzy(ii, 2) |
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zytzy(ii, jjm + 1)=zytzy(ii, jjm) |
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ENDDO |
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|
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! FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME. |
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|
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! FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. |
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|
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CALL MVA9(zmea, iim+1, jjm+1) |
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CALL MVA9(zstd, iim+1, jjm+1) |
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CALL MVA9(zpic, iim+1, jjm+1) |
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CALL MVA9(zval, iim+1, jjm+1) |
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CALL MVA9(zxtzx, iim+1, jjm+1) |
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CALL MVA9(zxtzy, iim+1, jjm+1) |
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CALL MVA9(zytzy, iim+1, jjm+1) |
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|
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! Masque prenant en compte maximum de terre |
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! On seuil a 10% de terre de terre car en dessous les parametres |
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! de surface n'ont pas de sens (PB) |
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mask_tmp= 0. |
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WHERE (mask >= 0.1) mask_tmp = 1. |
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|
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DO ii = 1, iim |
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DO jj = 1, jjm + 1 |
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IF (weight(ii, jj) /= 0.) THEN |
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! Coefficients K, L et M: |
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xk=(zxtzx(ii, jj)+zytzy(ii, jj))/2. |
| 296 |
xl=(zxtzx(ii, jj)-zytzy(ii, jj))/2. |
| 297 |
xm=zxtzy(ii, jj) |
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xp=xk-sqrt(xl**2+xm**2) |
| 299 |
xq=xk+sqrt(xl**2+xm**2) |
| 300 |
xw=1.e-8 |
| 301 |
if(xp.le.xw) xp=0. |
| 302 |
if(xq.le.xw) xq=xw |
| 303 |
if(abs(xm).le.xw) xm=xw*sign(1., xm) |
| 304 |
!$$* PB modif pour maque de terre fractionnaire |
| 305 |
! slope: |
| 306 |
zsig(ii, jj)=sqrt(xq)*mask_tmp(ii, jj) |
| 307 |
! isotropy: |
| 308 |
zgam(ii, jj)=xp/xq*mask_tmp(ii, jj) |
| 309 |
! angle theta: |
| 310 |
zthe(ii, jj)=57.29577951*atan2(xm, xl)/2.*mask_tmp(ii, jj) |
| 311 |
zphi(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) |
| 312 |
zmea(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) |
| 313 |
zpic(ii, jj)=zpic(ii, jj)*mask_tmp(ii, jj) |
| 314 |
zval(ii, jj)=zval(ii, jj)*mask_tmp(ii, jj) |
| 315 |
zstd(ii, jj)=zstd(ii, jj)*mask_tmp(ii, jj) |
| 316 |
ENDIF |
| 317 |
zllmmea=AMAX1(zmea(ii, jj), zllmmea) |
| 318 |
zllmstd=AMAX1(zstd(ii, jj), zllmstd) |
| 319 |
zllmsig=AMAX1(zsig(ii, jj), zllmsig) |
| 320 |
zllmgam=AMAX1(zgam(ii, jj), zllmgam) |
| 321 |
zllmthe=AMAX1(zthe(ii, jj), zllmthe) |
| 322 |
zminthe=amin1(zthe(ii, jj), zminthe) |
| 323 |
zllmpic=AMAX1(zpic(ii, jj), zllmpic) |
| 324 |
zllmval=AMAX1(zval(ii, jj), zllmval) |
| 325 |
ENDDO |
| 326 |
ENDDO |
| 327 |
print *, 'MEAN ORO: ', zllmmea |
| 328 |
print *, 'ST. DEV.: ', zllmstd |
| 329 |
print *, 'PENTE: ', zllmsig |
| 330 |
print *, 'ANISOTROP: ', zllmgam |
| 331 |
print *, 'ANGLE: ', zminthe, zllmthe |
| 332 |
print *, 'pic: ', zllmpic |
| 333 |
print *, 'val: ', zllmval |
| 334 |
|
| 335 |
! gamma and theta a 1. and 0. at poles |
| 336 |
zmea(iim+1, :)=zmea(1, :) |
| 337 |
zphi(iim+1, :)=zphi(1, :) |
| 338 |
zpic(iim+1, :)=zpic(1, :) |
| 339 |
zval(iim+1, :)=zval(1, :) |
| 340 |
zstd(iim+1, :)=zstd(1, :) |
| 341 |
zsig(iim+1, :)=zsig(1, :) |
| 342 |
zgam(iim+1, :)=zgam(1, :) |
| 343 |
zthe(iim+1, :)=zthe(1, :) |
| 344 |
|
| 345 |
zmeanor=0. |
| 346 |
zmeasud=0. |
| 347 |
zstdnor=0. |
| 348 |
zstdsud=0. |
| 349 |
zsignor=0. |
| 350 |
zsigsud=0. |
| 351 |
zweinor=0. |
| 352 |
zweisud=0. |
| 353 |
zpicnor=0. |
| 354 |
zpicsud=0. |
| 355 |
zvalnor=0. |
| 356 |
zvalsud=0. |
| 357 |
|
| 358 |
DO ii=1, iim |
| 359 |
zweinor=zweinor+ weight(ii, 1) |
| 360 |
zweisud=zweisud+ weight(ii, jjm + 1) |
| 361 |
zmeanor=zmeanor+zmea(ii, 1)*weight(ii, 1) |
| 362 |
zmeasud=zmeasud+zmea(ii, jjm + 1)*weight(ii, jjm + 1) |
| 363 |
zstdnor=zstdnor+zstd(ii, 1)*weight(ii, 1) |
| 364 |
zstdsud=zstdsud+zstd(ii, jjm + 1)*weight(ii, jjm + 1) |
| 365 |
zsignor=zsignor+zsig(ii, 1)*weight(ii, 1) |
| 366 |
zsigsud=zsigsud+zsig(ii, jjm + 1)*weight(ii, jjm + 1) |
| 367 |
zpicnor=zpicnor+zpic(ii, 1)*weight(ii, 1) |
| 368 |
zpicsud=zpicsud+zpic(ii, jjm + 1)*weight(ii, jjm + 1) |
| 369 |
zvalnor=zvalnor+zval(ii, 1)*weight(ii, 1) |
| 370 |
zvalsud=zvalsud+zval(ii, jjm + 1)*weight(ii, jjm + 1) |
| 371 |
ENDDO |
| 372 |
|
| 373 |
zmea(:, 1)=zmeanor/zweinor |
| 374 |
zmea(:, jjm + 1)=zmeasud/zweisud |
| 375 |
|
| 376 |
zphi(:, 1)=zmeanor/zweinor |
| 377 |
zphi(:, jjm + 1)=zmeasud/zweisud |
| 378 |
|
| 379 |
zpic(:, 1)=zpicnor/zweinor |
| 380 |
zpic(:, jjm + 1)=zpicsud/zweisud |
| 381 |
|
| 382 |
zval(:, 1)=zvalnor/zweinor |
| 383 |
zval(:, jjm + 1)=zvalsud/zweisud |
| 384 |
|
| 385 |
zstd(:, 1)=zstdnor/zweinor |
| 386 |
zstd(:, jjm + 1)=zstdsud/zweisud |
| 387 |
|
| 388 |
zsig(:, 1)=zsignor/zweinor |
| 389 |
zsig(:, jjm + 1)=zsigsud/zweisud |
| 390 |
|
| 391 |
zgam(:, 1)=1. |
| 392 |
zgam(:, jjm + 1)=1. |
| 393 |
|
| 394 |
zthe(:, 1)=0. |
| 395 |
zthe(:, jjm + 1)=0. |
| 396 |
|
| 397 |
END SUBROUTINE grid_noro |
| 398 |
|
| 399 |
!****************************************** |
| 400 |
|
| 401 |
SUBROUTINE MVA9(X, IMAR, JMAR) |
| 402 |
|
| 403 |
! From dyn3d/grid_noro.F, v 1.1.1.1 2004/05/19 12:53:06 |
| 404 |
|
| 405 |
! MAKE A MOVING AVERAGE OVER 9 GRIDPOINTS OF THE X FIELDS |
| 406 |
|
| 407 |
integer, intent(in):: imar, jmar |
| 408 |
REAL, intent(inout):: X(IMAR, JMAR) |
| 409 |
|
| 410 |
integer, PARAMETER:: ISMo=300, JSMo=200 |
| 411 |
real XF(ISMo, JSMo) |
| 412 |
real WEIGHTpb(-1:1, -1:1) |
| 413 |
real sum |
| 414 |
integer i, is, js, j |
| 415 |
|
| 416 |
if(imar>ismo) stop 'surdimensionner ismo dans mva9 (grid_noro)' |
| 417 |
if(jmar>jsmo) stop 'surdimensionner jsmo dans mva9 (grid_noro)' |
| 418 |
|
| 419 |
SUM=0. |
| 420 |
DO IS=-1, 1 |
| 421 |
DO JS=-1, 1 |
| 422 |
WEIGHTpb(IS, JS)=1./FLOAT((1+IS**2)*(1+JS**2)) |
| 423 |
SUM=SUM+WEIGHTpb(IS, JS) |
| 424 |
ENDDO |
| 425 |
ENDDO |
| 426 |
|
| 427 |
DO IS=-1, 1 |
| 428 |
DO JS=-1, 1 |
| 429 |
WEIGHTpb(IS, JS)=WEIGHTpb(IS, JS)/SUM |
| 430 |
ENDDO |
| 431 |
ENDDO |
| 432 |
|
| 433 |
DO J=2, JMAR-1 |
| 434 |
DO I=2, IMAR-1 |
| 435 |
XF(I, J)=0. |
| 436 |
DO IS=-1, 1 |
| 437 |
DO JS=-1, 1 |
| 438 |
XF(I, J)=XF(I, J)+X(I+IS, J+JS)*WEIGHTpb(IS, JS) |
| 439 |
ENDDO |
| 440 |
ENDDO |
| 441 |
ENDDO |
| 442 |
ENDDO |
| 443 |
|
| 444 |
DO J=2, JMAR-1 |
| 445 |
XF(1, J)=0. |
| 446 |
IS=IMAR-1 |
| 447 |
DO JS=-1, 1 |
| 448 |
XF(1, J)=XF(1, J)+X(IS, J+JS)*WEIGHTpb(-1, JS) |
| 449 |
ENDDO |
| 450 |
DO IS=0, 1 |
| 451 |
DO JS=-1, 1 |
| 452 |
XF(1, J)=XF(1, J)+X(1+IS, J+JS)*WEIGHTpb(IS, JS) |
| 453 |
ENDDO |
| 454 |
ENDDO |
| 455 |
XF(IMAR, J)=XF(1, J) |
| 456 |
ENDDO |
| 457 |
|
| 458 |
DO I=1, IMAR |
| 459 |
XF(I, 1)=XF(I, 2) |
| 460 |
XF(I, JMAR)=XF(I, JMAR-1) |
| 461 |
ENDDO |
| 462 |
|
| 463 |
DO I=1, IMAR |
| 464 |
DO J=1, JMAR |
| 465 |
X(I, J)=XF(I, J) |
| 466 |
ENDDO |
| 467 |
ENDDO |
| 468 |
|
| 469 |
END SUBROUTINE MVA9 |
| 470 |
|
| 471 |
end module grid_noro_m |
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