| 1 |
module grid_noro_m |
| 2 |
|
| 3 |
implicit none |
| 4 |
|
| 5 |
contains |
| 6 |
|
| 7 |
SUBROUTINE grid_noro(xdata, ydata, zdata, x, y, zphi, zmea, zstd, zsig, & |
| 8 |
zgam, zthe, zpic, zval, mask) |
| 9 |
|
| 10 |
! From dyn3d/grid_noro.F, version 1.1.1.1 2004/05/19 12:53:06 |
| 11 |
|
| 12 |
! Authors: F. Lott, Z. X. Li, A. Harzallah and L. Fairhead |
| 13 |
|
| 14 |
! Compute the parameters of the SSO scheme as described in |
| 15 |
! Lott and Miller (1997) and Lott (1999). |
| 16 |
! Target points are on a rectangular grid: |
| 17 |
! jjm + 1 latitudes including North and South Poles; |
| 18 |
! iim + 1 longitudes, with periodicity: longitude(iim + 1) = longitude(1) |
| 19 |
! At the poles the field value is repeated iim + 1 times. |
| 20 |
|
| 21 |
! The parameters a, b, c, d represent the limite of the target |
| 22 |
! gridpoint region. The means over this region are calculated from |
| 23 |
! USN data, ponderated by a weight proportional to the surface |
| 24 |
! occupied by the data inside the model gridpoint area. In most |
| 25 |
! circumstances, this weight is the ratio between the surface of |
| 26 |
! the USN gridpoint area and the surface of the model gridpoint |
| 27 |
! area. See "grid_noto.txt". |
| 28 |
|
| 29 |
use dimens_m, only: iim, jjm |
| 30 |
use nr_util, only: assert, pi |
| 31 |
use mva9_m, only: mva9 |
| 32 |
|
| 33 |
REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
| 34 |
REAL, intent(in):: zdata(:, :) ! input field |
| 35 |
REAL, intent(in):: x(:), y(:) ! ccordinates output field |
| 36 |
|
| 37 |
! Correlations of USN orography gradients: |
| 38 |
|
| 39 |
REAL, intent(out):: zphi(:, :) |
| 40 |
real, intent(out):: zmea(:, :) ! Mean orography |
| 41 |
real, intent(out):: zstd(:, :) ! Standard deviation |
| 42 |
REAL zsig(:, :) ! Slope |
| 43 |
real zgam(:, :) ! Anisotropy |
| 44 |
real zthe(:, :) ! Orientation of the small axis |
| 45 |
REAL, intent(out):: zpic(:, :) ! Maximum altitude |
| 46 |
real, intent(out):: zval(:, :) ! Minimum altitude |
| 47 |
|
| 48 |
real, intent(out):: mask(:, :) ! fraction of land |
| 49 |
|
| 50 |
! Variables local to the procedure: |
| 51 |
|
| 52 |
! In this version it is assumed that the input data come from |
| 53 |
! the US Navy dataset: |
| 54 |
integer, parameter:: iusn = 2160, jusn = 1080 |
| 55 |
integer, parameter:: iext = 216 |
| 56 |
REAL xusn(iusn + 2 * iext), yusn(jusn + 2) |
| 57 |
REAL zusn(iusn + 2 * iext, jusn + 2) |
| 58 |
|
| 59 |
! Intermediate fields (correlations of orography gradient) |
| 60 |
|
| 61 |
REAL ztz(iim + 1, jjm + 1), zxtzx(iim + 1, jjm + 1) |
| 62 |
REAL zytzy(iim + 1, jjm + 1), zxtzy(iim + 1, jjm + 1) |
| 63 |
REAL weight(iim + 1, jjm + 1) |
| 64 |
|
| 65 |
! Correlations of USN orography gradients: |
| 66 |
REAL, dimension(iusn + 2 * iext, jusn + 2):: zxtzxusn, zytzyusn, zxtzyusn |
| 67 |
|
| 68 |
real mask_tmp(size(x), size(y)) |
| 69 |
real num_tot(iim + 1, jjm + 1), num_lan(iim + 1, jjm + 1) |
| 70 |
|
| 71 |
REAL a(iim + 1), b(iim + 1), c(jjm + 1), d(jjm + 1) |
| 72 |
real rad, weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
| 73 |
real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud |
| 74 |
real zllmpic, zllmmea, zllmgam, zllmthe, zllmstd, zllmsig, zllmval |
| 75 |
real zpicnor, zminthe, zsigsud, zstdnor, zstdsud, zvalsud, zvalnor |
| 76 |
real zweinor, zweisud, zsignor, zpicsud, zmeanor, zbordest |
| 77 |
integer ii, i, jj, j |
| 78 |
|
| 79 |
!------------------------------- |
| 80 |
|
| 81 |
print *, "Call sequence information: grid_noro" |
| 82 |
|
| 83 |
call assert((/size(xdata), size(zdata, 1)/) == iusn, "grid_noro iusn") |
| 84 |
call assert((/size(ydata), size(zdata, 2)/) == jusn, "grid_noro jusn") |
| 85 |
|
| 86 |
call assert((/size(x), size(zphi, 1), size(zmea, 1), size(zstd, 1), & |
| 87 |
size(zsig, 1), size(zgam, 1), size(zthe, 1), size(zpic, 1), & |
| 88 |
size(zval, 1), size(mask, 1)/) == iim + 1, "grid_noro iim") |
| 89 |
|
| 90 |
call assert((/size(y), size(zphi, 2), size(zmea, 2), size(zstd, 2), & |
| 91 |
size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & |
| 92 |
size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") |
| 93 |
|
| 94 |
print *, "Paramètres de l'orographie à l'échelle sous-maille" |
| 95 |
rad = 6371229. |
| 96 |
zdeltay = 2. * pi / real(jusn) * rad |
| 97 |
|
| 98 |
! Extension of the USN database to POCEED computations at boundaries: |
| 99 |
|
| 100 |
DO j = 1, jusn |
| 101 |
yusn(j + 1) = ydata(j) |
| 102 |
DO i = 1, iusn |
| 103 |
zusn(i + iext, j + 1) = zdata(i, j) |
| 104 |
xusn(i + iext) = xdata(i) |
| 105 |
ENDDO |
| 106 |
DO i = 1, iext |
| 107 |
zusn(i, j + 1) = zdata(iusn - iext + i, j) |
| 108 |
xusn(i) = xdata(iusn - iext + i) - 2. * pi |
| 109 |
zusn(iusn + iext + i, j + 1) = zdata(i, j) |
| 110 |
xusn(iusn + iext + i) = xdata(i) + 2. * pi |
| 111 |
ENDDO |
| 112 |
ENDDO |
| 113 |
|
| 114 |
yusn(1) = ydata(1) + (ydata(1) - ydata(2)) |
| 115 |
yusn(jusn + 2) = ydata(jusn) + (ydata(jusn) - ydata(jusn - 1)) |
| 116 |
DO i = 1, iusn / 2 + iext |
| 117 |
zusn(i, 1) = zusn(i + iusn / 2, 2) |
| 118 |
zusn(i + iusn / 2 + iext, 1) = zusn(i, 2) |
| 119 |
zusn(i, jusn + 2) = zusn(i + iusn / 2, jusn + 1) |
| 120 |
zusn(i + iusn / 2 + iext, jusn + 2) = zusn(i, jusn + 1) |
| 121 |
ENDDO |
| 122 |
|
| 123 |
! COMPUTE LIMITS OF MODEL GRIDPOINT AREA (REGULAR GRID) |
| 124 |
|
| 125 |
a(1) = x(1) - (x(2) - x(1)) / 2.0 |
| 126 |
b(1) = (x(1) + x(2)) / 2.0 |
| 127 |
DO i = 2, iim |
| 128 |
a(i) = b(i - 1) |
| 129 |
b(i) = (x(i) + x(i + 1)) / 2.0 |
| 130 |
ENDDO |
| 131 |
a(iim + 1) = b(iim) |
| 132 |
b(iim + 1) = x(iim + 1) + (x(iim + 1) - x(iim)) / 2.0 |
| 133 |
|
| 134 |
c(1) = y(1) - (y(2) - y(1)) / 2.0 |
| 135 |
d(1) = (y(1) + y(2)) / 2.0 |
| 136 |
DO j = 2, jjm |
| 137 |
c(j) = d(j - 1) |
| 138 |
d(j) = (y(j) + y(j + 1)) / 2.0 |
| 139 |
ENDDO |
| 140 |
c(jjm + 1) = d(jjm) |
| 141 |
d(jjm + 1) = y(jjm + 1) + (y(jjm + 1) - y(jjm)) / 2.0 |
| 142 |
|
| 143 |
! Initialisations : |
| 144 |
weight = 0. |
| 145 |
zxtzx = 0. |
| 146 |
zytzy = 0. |
| 147 |
zxtzy = 0. |
| 148 |
ztz = 0. |
| 149 |
zmea = 0. |
| 150 |
zpic = - 1E10 |
| 151 |
zval = 1E10 |
| 152 |
|
| 153 |
! COMPUTE SLOPES CORRELATIONS ON USN GRID |
| 154 |
|
| 155 |
zytzyusn = 0. |
| 156 |
zxtzxusn = 0. |
| 157 |
zxtzyusn = 0. |
| 158 |
|
| 159 |
DO j = 2, jusn + 1 |
| 160 |
zdeltax = zdeltay * cos(yusn(j)) |
| 161 |
DO i = 2, iusn + 2 * iext - 1 |
| 162 |
zytzyusn(i, j) = (zusn(i, j + 1) - zusn(i, j - 1))**2 / zdeltay**2 |
| 163 |
zxtzxusn(i, j) = (zusn(i + 1, j) - zusn(i - 1, j))**2 / zdeltax**2 |
| 164 |
zxtzyusn(i, j) = (zusn(i, j + 1) - zusn(i, j - 1)) / zdeltay & |
| 165 |
* (zusn(i + 1, j) - zusn(i - 1, j)) / zdeltax |
| 166 |
ENDDO |
| 167 |
ENDDO |
| 168 |
|
| 169 |
! SUMMATION OVER GRIDPOINT AREA |
| 170 |
|
| 171 |
zleny = pi / real(jusn) * rad |
| 172 |
xincr = pi / 2. / real(jusn) |
| 173 |
DO ii = 1, iim + 1 |
| 174 |
DO jj = 1, jjm + 1 |
| 175 |
num_tot(ii, jj) = 0. |
| 176 |
num_lan(ii, jj) = 0. |
| 177 |
DO j = 2, jusn + 1 |
| 178 |
zlenx = zleny * cos(yusn(j)) |
| 179 |
zdeltax = zdeltay * cos(yusn(j)) |
| 180 |
zbordnor = (c(jj) - yusn(j) + xincr) * rad |
| 181 |
zbordsud = (yusn(j) - d(jj) + xincr) * rad |
| 182 |
weighy = AMAX1(0., amin1(zbordnor, zbordsud, zleny)) |
| 183 |
IF (weighy /= 0) THEN |
| 184 |
DO i = 2, iusn + 2 * iext - 1 |
| 185 |
zbordest = (xusn(i) - a(ii) + xincr) * rad * cos(yusn(j)) |
| 186 |
zbordoue = (b(ii) + xincr - xusn(i)) * rad * cos(yusn(j)) |
| 187 |
weighx = AMAX1(0., amin1(zbordest, zbordoue, zlenx)) |
| 188 |
IF (weighx /= 0) THEN |
| 189 |
num_tot(ii, jj) = num_tot(ii, jj) + 1. |
| 190 |
if (zusn(i, j) >= 1.) then |
| 191 |
num_lan(ii, jj) = num_lan(ii, jj) + 1. |
| 192 |
end if |
| 193 |
weight(ii, jj) = weight(ii, jj) + weighx * weighy |
| 194 |
zxtzx(ii, jj) = zxtzx(ii, jj) & |
| 195 |
+ zxtzxusn(i, j) * weighx * weighy |
| 196 |
zytzy(ii, jj) = zytzy(ii, jj) & |
| 197 |
+ zytzyusn(i, j) * weighx * weighy |
| 198 |
zxtzy(ii, jj) = zxtzy(ii, jj) & |
| 199 |
+ zxtzyusn(i, j) * weighx * weighy |
| 200 |
ztz(ii, jj) = ztz(ii, jj) & |
| 201 |
+ zusn(i, j) * zusn(i, j) * weighx * weighy |
| 202 |
! mean |
| 203 |
zmea(ii, jj) = zmea(ii, jj) + zusn(i, j) * weighx * weighy |
| 204 |
! peacks |
| 205 |
zpic(ii, jj) = amax1(zpic(ii, jj), zusn(i, j)) |
| 206 |
! valleys |
| 207 |
zval(ii, jj) = amin1(zval(ii, jj), zusn(i, j)) |
| 208 |
ENDIF |
| 209 |
ENDDO |
| 210 |
ENDIF |
| 211 |
ENDDO |
| 212 |
ENDDO |
| 213 |
ENDDO |
| 214 |
|
| 215 |
if (any(weight == 0.)) stop "zero weight in grid_noro" |
| 216 |
|
| 217 |
! COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND |
| 218 |
! LOTT (1999) SSO SCHEME. |
| 219 |
|
| 220 |
zllmmea = 0. |
| 221 |
zllmstd = 0. |
| 222 |
zllmsig = 0. |
| 223 |
zllmgam = 0. |
| 224 |
zllmpic = 0. |
| 225 |
zllmval = 0. |
| 226 |
zllmthe = 0. |
| 227 |
zminthe = 0. |
| 228 |
DO ii = 1, iim + 1 |
| 229 |
DO jj = 1, jjm + 1 |
| 230 |
mask(ii, jj) = num_lan(ii, jj) / num_tot(ii, jj) |
| 231 |
! Mean Orography: |
| 232 |
zmea (ii, jj) = zmea (ii, jj) / weight(ii, jj) |
| 233 |
zxtzx(ii, jj) = zxtzx(ii, jj) / weight(ii, jj) |
| 234 |
zytzy(ii, jj) = zytzy(ii, jj) / weight(ii, jj) |
| 235 |
zxtzy(ii, jj) = zxtzy(ii, jj) / weight(ii, jj) |
| 236 |
ztz(ii, jj) = ztz(ii, jj) / weight(ii, jj) |
| 237 |
! Standard deviation: |
| 238 |
zstd(ii, jj) = sqrt(MAX(0., ztz(ii, jj) - zmea(ii, jj)**2)) |
| 239 |
ENDDO |
| 240 |
ENDDO |
| 241 |
|
| 242 |
! CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: |
| 243 |
DO ii = 1, iim + 1 |
| 244 |
zxtzx(ii, 1) = zxtzx(ii, 2) |
| 245 |
zxtzx(ii, jjm + 1) = zxtzx(ii, jjm) |
| 246 |
zxtzy(ii, 1) = zxtzy(ii, 2) |
| 247 |
zxtzy(ii, jjm + 1) = zxtzy(ii, jjm) |
| 248 |
zytzy(ii, 1) = zytzy(ii, 2) |
| 249 |
zytzy(ii, jjm + 1) = zytzy(ii, jjm) |
| 250 |
ENDDO |
| 251 |
|
| 252 |
! FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME. |
| 253 |
|
| 254 |
! FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. |
| 255 |
CALL MVA9(zmea) |
| 256 |
CALL MVA9(zstd) |
| 257 |
CALL MVA9(zpic) |
| 258 |
CALL MVA9(zval) |
| 259 |
CALL MVA9(zxtzx) |
| 260 |
CALL MVA9(zxtzy) |
| 261 |
CALL MVA9(zytzy) |
| 262 |
|
| 263 |
! Masque prenant en compte maximum de terre. On seuille à 10 % de |
| 264 |
! terre car en dessous les paramètres de surface n'ont pas de |
| 265 |
! sens. |
| 266 |
mask_tmp = 0. |
| 267 |
WHERE (mask >= 0.1) mask_tmp = 1. |
| 268 |
|
| 269 |
DO ii = 1, iim |
| 270 |
DO jj = 1, jjm + 1 |
| 271 |
! Coefficients K, L et M: |
| 272 |
xk = (zxtzx(ii, jj) + zytzy(ii, jj)) / 2. |
| 273 |
xl = (zxtzx(ii, jj) - zytzy(ii, jj)) / 2. |
| 274 |
xm = zxtzy(ii, jj) |
| 275 |
xp = xk - sqrt(xl**2 + xm**2) |
| 276 |
xq = xk + sqrt(xl**2 + xm**2) |
| 277 |
xw = 1e-8 |
| 278 |
if(xp.le.xw) xp = 0. |
| 279 |
if(xq.le.xw) xq = xw |
| 280 |
if(abs(xm).le.xw) xm = xw * sign(1., xm) |
| 281 |
! modification pour masque de terre fractionnaire |
| 282 |
! slope: |
| 283 |
zsig(ii, jj) = sqrt(xq) * mask_tmp(ii, jj) |
| 284 |
! isotropy: |
| 285 |
zgam(ii, jj) = xp / xq * mask_tmp(ii, jj) |
| 286 |
! angle theta: |
| 287 |
zthe(ii, jj) = 57.29577951 * atan2(xm, xl) / 2. * mask_tmp(ii, jj) |
| 288 |
zphi(ii, jj) = zmea(ii, jj) * mask_tmp(ii, jj) |
| 289 |
zmea(ii, jj) = zmea(ii, jj) * mask_tmp(ii, jj) |
| 290 |
zpic(ii, jj) = zpic(ii, jj) * mask_tmp(ii, jj) |
| 291 |
zval(ii, jj) = zval(ii, jj) * mask_tmp(ii, jj) |
| 292 |
zstd(ii, jj) = zstd(ii, jj) * mask_tmp(ii, jj) |
| 293 |
zllmmea = AMAX1(zmea(ii, jj), zllmmea) |
| 294 |
zllmstd = AMAX1(zstd(ii, jj), zllmstd) |
| 295 |
zllmsig = AMAX1(zsig(ii, jj), zllmsig) |
| 296 |
zllmgam = AMAX1(zgam(ii, jj), zllmgam) |
| 297 |
zllmthe = AMAX1(zthe(ii, jj), zllmthe) |
| 298 |
zminthe = amin1(zthe(ii, jj), zminthe) |
| 299 |
zllmpic = AMAX1(zpic(ii, jj), zllmpic) |
| 300 |
zllmval = AMAX1(zval(ii, jj), zllmval) |
| 301 |
ENDDO |
| 302 |
ENDDO |
| 303 |
|
| 304 |
print *, 'MEAN ORO: ', zllmmea |
| 305 |
print *, 'ST. DEV.: ', zllmstd |
| 306 |
print *, 'PENTE: ', zllmsig |
| 307 |
print *, 'ANISOTROP: ', zllmgam |
| 308 |
print *, 'ANGLE: ', zminthe, zllmthe |
| 309 |
print *, 'pic: ', zllmpic |
| 310 |
print *, 'val: ', zllmval |
| 311 |
|
| 312 |
! gamma and theta at 1. and 0. at poles |
| 313 |
zmea(iim + 1, :) = zmea(1, :) |
| 314 |
zphi(iim + 1, :) = zphi(1, :) |
| 315 |
zpic(iim + 1, :) = zpic(1, :) |
| 316 |
zval(iim + 1, :) = zval(1, :) |
| 317 |
zstd(iim + 1, :) = zstd(1, :) |
| 318 |
zsig(iim + 1, :) = zsig(1, :) |
| 319 |
zgam(iim + 1, :) = zgam(1, :) |
| 320 |
zthe(iim + 1, :) = zthe(1, :) |
| 321 |
|
| 322 |
zmeanor = 0. |
| 323 |
zmeasud = 0. |
| 324 |
zstdnor = 0. |
| 325 |
zstdsud = 0. |
| 326 |
zsignor = 0. |
| 327 |
zsigsud = 0. |
| 328 |
zweinor = 0. |
| 329 |
zweisud = 0. |
| 330 |
zpicnor = 0. |
| 331 |
zpicsud = 0. |
| 332 |
zvalnor = 0. |
| 333 |
zvalsud = 0. |
| 334 |
|
| 335 |
DO ii = 1, iim |
| 336 |
zweinor = zweinor + weight(ii, 1) |
| 337 |
zweisud = zweisud + weight(ii, jjm + 1) |
| 338 |
zmeanor = zmeanor + zmea(ii, 1) * weight(ii, 1) |
| 339 |
zmeasud = zmeasud + zmea(ii, jjm + 1) * weight(ii, jjm + 1) |
| 340 |
zstdnor = zstdnor + zstd(ii, 1) * weight(ii, 1) |
| 341 |
zstdsud = zstdsud + zstd(ii, jjm + 1) * weight(ii, jjm + 1) |
| 342 |
zsignor = zsignor + zsig(ii, 1) * weight(ii, 1) |
| 343 |
zsigsud = zsigsud + zsig(ii, jjm + 1) * weight(ii, jjm + 1) |
| 344 |
zpicnor = zpicnor + zpic(ii, 1) * weight(ii, 1) |
| 345 |
zpicsud = zpicsud + zpic(ii, jjm + 1) * weight(ii, jjm + 1) |
| 346 |
zvalnor = zvalnor + zval(ii, 1) * weight(ii, 1) |
| 347 |
zvalsud = zvalsud + zval(ii, jjm + 1) * weight(ii, jjm + 1) |
| 348 |
ENDDO |
| 349 |
|
| 350 |
zmea(:, 1) = zmeanor / zweinor |
| 351 |
zmea(:, jjm + 1) = zmeasud / zweisud |
| 352 |
|
| 353 |
zphi(:, 1) = zmeanor / zweinor |
| 354 |
zphi(:, jjm + 1) = zmeasud / zweisud |
| 355 |
|
| 356 |
zpic(:, 1) = zpicnor / zweinor |
| 357 |
zpic(:, jjm + 1) = zpicsud / zweisud |
| 358 |
|
| 359 |
zval(:, 1) = zvalnor / zweinor |
| 360 |
zval(:, jjm + 1) = zvalsud / zweisud |
| 361 |
|
| 362 |
zstd(:, 1) = zstdnor / zweinor |
| 363 |
zstd(:, jjm + 1) = zstdsud / zweisud |
| 364 |
|
| 365 |
zsig(:, 1) = zsignor / zweinor |
| 366 |
zsig(:, jjm + 1) = zsigsud / zweisud |
| 367 |
|
| 368 |
zgam(:, 1) = 1. |
| 369 |
zgam(:, jjm + 1) = 1. |
| 370 |
|
| 371 |
zthe(:, 1) = 0. |
| 372 |
zthe(:, jjm + 1) = 0. |
| 373 |
|
| 374 |
END SUBROUTINE grid_noro |
| 375 |
|
| 376 |
end module grid_noro_m |
Parent Directory
| 
Revision Log