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10 |
! 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 |
11 |
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12 |
! 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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18 |
! Target points are on a rectangular grid: |
! Target points are on a rectangular grid: |
19 |
! jjm + 1 latitudes including North and South Poles; |
! jjm + 1 latitudes including North and South Poles; |
20 |
! iim + 1 longitudes, with periodicity: longitude(iim + 1) = longitude(1) |
! iim + 1 longitudes, with periodicity: longitude(iim + 1) = longitude(1) |
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23 |
! The parameters a, b, c, d represent the limite of the target |
! The parameters a, b, c, d represent the limite of the target |
24 |
! gridpoint region. The means over this region are calculated from |
! gridpoint region. The means over this region are calculated from |
25 |
! USN data, ponderated by a weight proportional to the surface |
! US Navy data, ponderated by a weight proportional to the surface |
26 |
! occupied by the data inside the model gridpoint area. In most |
! occupied by the data inside the model gridpoint area. In most |
27 |
! circumstances, this weight is the ratio between the surface of |
! circumstances, this weight is the ratio between the surface of |
28 |
! 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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31 |
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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32 |
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: |
36 |
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REAL, intent(in):: xdata(:) ! (iusn) |
37 |
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REAL, intent(in):: ydata(:) ! (jusn) |
38 |
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39 |
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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 |
41 |
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42 |
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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 |
44 |
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real, intent(out):: zmea(:, :) ! (iim + 1, jjm + 1) smoothed orography |
45 |
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real, intent(out):: zstd(:, :) ! (iim + 1, jjm + 1) Standard deviation |
46 |
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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 |
48 |
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49 |
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real, intent(out):: zthe(:, :) ! (iim + 1, jjm + 1) |
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! Orientation of the small axis |
51 |
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52 |
REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
REAL, intent(out):: zpic(:, :) ! (iim + 1, jjm + 1) Maximum altitude |
53 |
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, intent(out):: 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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55 |
real, intent(out):: mask(:, :) ! fraction of land |
real, intent(out):: mask(:, :) ! (iim + 1, jjm + 1) fraction of land |
56 |
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57 |
! Variables local to the procedure: |
! Variables local to the procedure: |
58 |
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64 |
REAL zusn(iusn + 2 * iext, jusn + 2) |
REAL zusn(iusn + 2 * iext, jusn + 2) |
65 |
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66 |
! Intermediate fields (correlations of orography gradient) |
! Intermediate fields (correlations of orography gradient) |
67 |
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REAL, dimension(iim + 1, jjm + 1):: ztz, zxtzx, zytzy, zxtzy, weight |
68 |
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69 |
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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70 |
REAL, dimension(iusn + 2 * iext, jusn + 2):: zxtzxusn, zytzyusn, zxtzyusn |
REAL, dimension(iusn + 2 * iext, jusn + 2):: zxtzxusn, zytzyusn, zxtzyusn |
71 |
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72 |
real mask_tmp(size(x), size(y)) |
real, dimension(iim + 1, jjm + 1):: mask_tmp, num_tot, num_lan |
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real num_tot(iim + 1, jjm + 1), num_lan(iim + 1, jjm + 1) |
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73 |
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) |
74 |
real rad, weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
real weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
75 |
real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud |
real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud |
76 |
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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77 |
integer ii, i, jj, j |
integer ii, i, jj, j |
78 |
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real, parameter:: rad = 6371229. |
79 |
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80 |
!------------------------------- |
!------------------------------- |
81 |
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92 |
size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & |
size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & |
93 |
size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") |
size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") |
94 |
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95 |
print *, "Paramètres de l'orographie à l'échelle sous-maille" |
print *, "Parameters of subgrid-scale orography" |
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rad = 6371229. |
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96 |
zdeltay = 2. * pi / real(jusn) * rad |
zdeltay = 2. * pi / real(jusn) * rad |
97 |
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98 |
! Extension of the USN database to POCEED computations at boundaries: |
! Extension of the US Navy database for computations at boundaries: |
99 |
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100 |
DO j = 1, jusn |
DO j = 1, jusn |
101 |
yusn(j + 1) = ydata(j) |
yusn(j + 1) = ydata(j) |
120 |
zusn(i + iusn / 2 + iext, jusn + 2) = zusn(i, jusn + 1) |
zusn(i + iusn / 2 + iext, jusn + 2) = zusn(i, jusn + 1) |
121 |
ENDDO |
ENDDO |
122 |
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123 |
! COMPUTE LIMITS OF MODEL GRIDPOINT AREA (REGULAR GRID) |
! Compute limits of model gridpoint area (regular grid) |
124 |
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125 |
a(1) = x(1) - (x(2) - x(1)) / 2.0 |
a(1) = x(1) - (x(2) - x(1)) / 2.0 |
126 |
b(1) = (x(1) + x(2)) / 2.0 |
b(1) = (x(1) + x(2)) / 2.0 |
150 |
zpic = - 1E10 |
zpic = - 1E10 |
151 |
zval = 1E10 |
zval = 1E10 |
152 |
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153 |
! COMPUTE SLOPES CORRELATIONS ON USN GRID |
! Compute slopes correlations on US Navy grid |
154 |
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155 |
zytzyusn = 0. |
zytzyusn = 0. |
156 |
zxtzxusn = 0. |
zxtzxusn = 0. |
166 |
ENDDO |
ENDDO |
167 |
ENDDO |
ENDDO |
168 |
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169 |
! SUMMATION OVER GRIDPOINT AREA |
! Summation over gridpoint area |
170 |
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171 |
zleny = pi / real(jusn) * rad |
zleny = pi / real(jusn) * rad |
172 |
xincr = pi / 2. / real(jusn) |
xincr = pi / 2. / real(jusn) |
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 |
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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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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223 |
DO ii = 1, iim + 1 |
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) |
234 |
ENDDO |
ENDDO |
235 |
ENDDO |
ENDDO |
236 |
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237 |
! CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: |
! Correct values of horizontal slope near the poles: |
238 |
DO ii = 1, iim + 1 |
DO ii = 1, iim + 1 |
239 |
zxtzx(ii, 1) = zxtzx(ii, 2) |
zxtzx(ii, 1) = zxtzx(ii, 2) |
240 |
zxtzx(ii, jjm + 1) = zxtzx(ii, jjm) |
zxtzx(ii, jjm + 1) = zxtzx(ii, jjm) |
244 |
zytzy(ii, jjm + 1) = zytzy(ii, jjm) |
zytzy(ii, jjm + 1) = zytzy(ii, jjm) |
245 |
ENDDO |
ENDDO |
246 |
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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 |
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! % de terre car en dessous les param\`etres de surface n'ont pas de |
249 |
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! sens. |
250 |
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mask_tmp = merge(1., 0., mask >= 0.1) |
251 |
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252 |
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zphi(:iim, :) = zmea(:iim, :) * mask_tmp(:iim, :) |
253 |
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! (zmea is not yet smoothed) |
254 |
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255 |
! FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. |
! Filters to smooth out fields for input into subgrid-scale |
256 |
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! orographic scheme. |
257 |
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258 |
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! 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 |
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! Masque prenant en compte maximum de terre. On seuille à 10 % de |
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! terre car en dessous les paramètres de surface n'ont pas de |
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! sens. |
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mask_tmp = 0. |
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WHERE (mask >= 0.1) mask_tmp = 1. |
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267 |
DO ii = 1, iim |
DO ii = 1, iim |
268 |
DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
269 |
! Coefficients K, L et M: |
! Coefficients K, L et M: |
273 |
xp = xk - sqrt(xl**2 + xm**2) |
xp = xk - sqrt(xl**2 + xm**2) |
274 |
xq = xk + sqrt(xl**2 + xm**2) |
xq = xk + sqrt(xl**2 + xm**2) |
275 |
xw = 1e-8 |
xw = 1e-8 |
276 |
if(xp.le.xw) xp = 0. |
if (xp <= xw) xp = 0. |
277 |
if(xq.le.xw) xq = xw |
if (xq <= xw) xq = xw |
278 |
if(abs(xm).le.xw) xm = xw * sign(1., xm) |
if (abs(xm) <= xw) xm = xw * sign(1., xm) |
279 |
! modification pour masque de terre fractionnaire |
! modification pour masque de terre fractionnaire |
280 |
! slope: |
! slope: |
281 |
zsig(ii, jj) = sqrt(xq) * mask_tmp(ii, jj) |
zsig(ii, jj) = sqrt(xq) * mask_tmp(ii, jj) |
283 |
zgam(ii, jj) = xp / xq * mask_tmp(ii, jj) |
zgam(ii, jj) = xp / xq * mask_tmp(ii, jj) |
284 |
! angle theta: |
! angle theta: |
285 |
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) |
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zmea(ii, jj) = zmea(ii, jj) * mask_tmp(ii, jj) |
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zpic(ii, jj) = zpic(ii, jj) * mask_tmp(ii, jj) |
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zval(ii, jj) = zval(ii, jj) * mask_tmp(ii, jj) |
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zstd(ii, jj) = zstd(ii, jj) * mask_tmp(ii, jj) |
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zllmmea = AMAX1(zmea(ii, jj), zllmmea) |
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zllmstd = AMAX1(zstd(ii, jj), zllmstd) |
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zllmsig = AMAX1(zsig(ii, jj), zllmsig) |
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zllmgam = AMAX1(zgam(ii, jj), zllmgam) |
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zllmthe = AMAX1(zthe(ii, jj), zllmthe) |
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zminthe = amin1(zthe(ii, jj), zminthe) |
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zllmpic = AMAX1(zpic(ii, jj), zllmpic) |
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zllmval = AMAX1(zval(ii, jj), zllmval) |
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286 |
ENDDO |
ENDDO |
287 |
ENDDO |
ENDDO |
288 |
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289 |
print *, 'MEAN ORO: ', zllmmea |
zmea(:iim, :) = zmea(:iim, :) * mask_tmp(:iim, :) |
290 |
print *, 'ST. DEV.: ', zllmstd |
zpic(:iim, :) = zpic(:iim, :) * mask_tmp(:iim, :) |
291 |
print *, 'PENTE: ', zllmsig |
zval(:iim, :) = zval(:iim, :) * mask_tmp(:iim, :) |
292 |
print *, 'ANISOTROP: ', zllmgam |
zstd(:iim, :) = zstd(:iim, :) * mask_tmp(:iim, :) |
293 |
print *, 'ANGLE: ', zminthe, zllmthe |
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294 |
print *, 'pic: ', zllmpic |
print *, 'MEAN ORO: ', MAXVAL(zmea(:iim, :)) |
295 |
print *, 'val: ', zllmval |
print *, 'ST. DEV.: ', MAXVAL(zstd(:iim, :)) |
296 |
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print *, 'PENTE: ', MAXVAL(zsig(:iim, :)) |
297 |
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print *, 'ANISOTROP: ', MAXVAL(zgam(:iim, :)) |
298 |
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print *, 'ANGLE: ', minval(zthe(:iim, :)), MAXVAL(zthe(:iim, :)) |
299 |
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print *, 'pic: ', MAXVAL(zpic(:iim, :)) |
300 |
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print *, 'val: ', MAXVAL(zval(:iim, :)) |
301 |
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302 |
! gamma and theta at 1. and 0. at poles |
! gamma and theta at 1. and 0. at poles |
303 |
zmea(iim + 1, :) = zmea(1, :) |
zmea(iim + 1, :) = zmea(1, :) |
309 |
zgam(iim + 1, :) = zgam(1, :) |
zgam(iim + 1, :) = zgam(1, :) |
310 |
zthe(iim + 1, :) = zthe(1, :) |
zthe(iim + 1, :) = zthe(1, :) |
311 |
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312 |
zmeanor = 0. |
zweinor = sum(weight(:iim, 1)) |
313 |
zmeasud = 0. |
zweisud = sum(weight(:iim, jjm + 1)) |
314 |
zstdnor = 0. |
zmeanor = sum(zmea(:iim, 1) * weight(:iim, 1)) |
315 |
zstdsud = 0. |
zmeasud = sum(zmea(:iim, jjm + 1) * weight(:iim, jjm + 1)) |
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zsignor = 0. |
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zsigsud = 0. |
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zweinor = 0. |
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zweisud = 0. |
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zpicnor = 0. |
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zpicsud = 0. |
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zvalnor = 0. |
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zvalsud = 0. |
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DO ii = 1, iim |
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zweinor = zweinor + weight(ii, 1) |
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zweisud = zweisud + weight(ii, jjm + 1) |
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zmeanor = zmeanor + zmea(ii, 1) * weight(ii, 1) |
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zmeasud = zmeasud + zmea(ii, jjm + 1) * weight(ii, jjm + 1) |
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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 |
|
316 |
|
|
317 |
zmea(:, 1) = zmeanor / zweinor |
zmea(:, 1) = zmeanor / zweinor |
318 |
zmea(:, jjm + 1) = zmeasud / zweisud |
zmea(:, jjm + 1) = zmeasud / zweisud |
320 |
zphi(:, 1) = zmeanor / zweinor |
zphi(:, 1) = zmeanor / zweinor |
321 |
zphi(:, jjm + 1) = zmeasud / zweisud |
zphi(:, jjm + 1) = zmeasud / zweisud |
322 |
|
|
323 |
zpic(:, 1) = zpicnor / zweinor |
zpic(:, 1) = sum(zpic(:iim, 1) * weight(:iim, 1)) / zweinor |
324 |
zpic(:, jjm + 1) = zpicsud / zweisud |
zpic(:, jjm + 1) = sum(zpic(:iim, jjm + 1) * weight(:iim, jjm + 1)) & |
325 |
|
/ zweisud |
326 |
zval(:, 1) = zvalnor / zweinor |
|
327 |
zval(:, jjm + 1) = zvalsud / zweisud |
zval(:, 1) = sum(zval(:iim, 1) * weight(:iim, 1)) / zweinor |
328 |
|
zval(:, jjm + 1) = sum(zval(:iim, jjm + 1) * weight(:iim, jjm + 1)) & |
329 |
zstd(:, 1) = zstdnor / zweinor |
/ zweisud |
330 |
zstd(:, jjm + 1) = zstdsud / zweisud |
|
331 |
|
zstd(:, 1) = sum(zstd(:iim, 1) * weight(:iim, 1)) / zweinor |
332 |
zsig(:, 1) = zsignor / zweinor |
zstd(:, jjm + 1) = sum(zstd(:iim, jjm + 1) * weight(:iim, jjm + 1)) & |
333 |
zsig(:, jjm + 1) = zsigsud / zweisud |
/ 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. |