| 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 |
| 23 |
! from USN data, ponderated by a weight proportional to the |
| 24 |
! surface occupied by the data inside the model gridpoint area. |
| 25 |
! In most circumstances, this weight is the ratio between the |
| 26 |
! surface of the USN gridpoint area and the surface of the |
| 27 |
! model gridpoint area. |
| 28 |
|
| 29 |
! (c) |
| 30 |
! ----d----- |
| 31 |
! | . . . .| |
| 32 |
! | | |
| 33 |
! (b)a . * . .b(a) |
| 34 |
! | | |
| 35 |
! | . . . .| |
| 36 |
! ----c----- |
| 37 |
! (d) |
| 38 |
|
| 39 |
use dimens_m, only: iim, jjm |
| 40 |
use nr_util, only: assert, pi |
| 41 |
use mva9_m, only: mva9 |
| 42 |
|
| 43 |
REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
| 44 |
REAL, intent(in):: zdata(:, :) ! input field |
| 45 |
REAL, intent(in):: x(:), y(:) ! ccordinates output field |
| 46 |
|
| 47 |
! Correlations of USN orography gradients: |
| 48 |
|
| 49 |
REAL zphi(:, :) |
| 50 |
real, intent(out):: zmea(:, :) ! Mean orography |
| 51 |
real, intent(out):: zstd(:, :) ! Standard deviation |
| 52 |
REAL zsig(:, :) ! Slope |
| 53 |
real zgam(:, :) ! Anisotropy |
| 54 |
real zthe(:, :) ! Orientation of the small axis |
| 55 |
REAL, intent(out):: zpic(:, :) ! Maximum altitude |
| 56 |
real, intent(out):: zval(:, :) ! Minimum altitude |
| 57 |
|
| 58 |
real, intent(out):: mask(:, :) ! fraction of land |
| 59 |
|
| 60 |
! Variables local to the procedure: |
| 61 |
|
| 62 |
! In this version it is assumed that the input data come from |
| 63 |
! the US Navy dataset: |
| 64 |
integer, parameter:: iusn=2160, jusn=1080 |
| 65 |
|
| 66 |
integer, parameter:: iext=216 |
| 67 |
REAL xusn(iusn+2*iext), yusn(jusn+2) |
| 68 |
REAL zusn(iusn+2*iext, jusn+2) |
| 69 |
|
| 70 |
! Intermediate fields (correlations of orography gradient) |
| 71 |
|
| 72 |
REAL ztz(iim+1, jjm+1), zxtzx(iim+1, jjm+1) |
| 73 |
REAL zytzy(iim+1, jjm+1), zxtzy(iim+1, jjm+1) |
| 74 |
REAL weight(iim+1, jjm+1) |
| 75 |
|
| 76 |
! Correlations of USN orography gradients: |
| 77 |
|
| 78 |
REAL zxtzxusn(iusn+2*iext, jusn+2), zytzyusn(iusn+2*iext, jusn+2) |
| 79 |
REAL zxtzyusn(iusn+2*iext, jusn+2) |
| 80 |
|
| 81 |
real mask_tmp(size(x), size(y)) |
| 82 |
real num_tot(2200, 1100), num_lan(2200, 1100) |
| 83 |
|
| 84 |
REAL a(2200), b(2200), c(1100), d(1100) |
| 85 |
real rad, weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
| 86 |
real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud |
| 87 |
real zllmpic, zllmmea, zllmgam, zllmthe, zllmstd, zllmsig, zllmval |
| 88 |
real zpicnor, zminthe, zsigsud, zstdnor, zstdsud, zvalsud, zvalnor |
| 89 |
real zweinor, zweisud, zsignor, zpicsud, zmeanor, zbordest |
| 90 |
integer ii, i, jj, j |
| 91 |
|
| 92 |
!------------------------------- |
| 93 |
|
| 94 |
print *, "Call sequence information: grid_noro" |
| 95 |
|
| 96 |
call assert((/size(xdata), size(zdata, 1)/) == iusn, "grid_noro iusn") |
| 97 |
call assert((/size(ydata), size(zdata, 2)/) == jusn, "grid_noro jusn") |
| 98 |
|
| 99 |
call assert((/size(x), size(zphi, 1), size(zmea, 1), size(zstd, 1), & |
| 100 |
size(zsig, 1), size(zgam, 1), size(zthe, 1), size(zpic, 1), & |
| 101 |
size(zval, 1), size(mask, 1)/) == iim + 1, "grid_noro iim") |
| 102 |
|
| 103 |
call assert((/size(y), size(zphi, 2), size(zmea, 2), size(zstd, 2), & |
| 104 |
size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & |
| 105 |
size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") |
| 106 |
|
| 107 |
IF (iim > 2200 .OR. jjm > 1099) THEN |
| 108 |
print *, "iim = ", iim, ", jjm = ", jjm |
| 109 |
stop '"iim" or "jjm" is too big' |
| 110 |
ENDIF |
| 111 |
|
| 112 |
print *, "Paramètres de l'orographie à l'échelle sous-maille" |
| 113 |
rad = 6371229. |
| 114 |
zdeltay = 2. * pi / real(jusn) * rad |
| 115 |
|
| 116 |
! Extension of the USN database to POCEED computations at boundaries: |
| 117 |
|
| 118 |
DO j=1, jusn |
| 119 |
yusn(j+1)=ydata(j) |
| 120 |
DO i=1, iusn |
| 121 |
zusn(i+iext, j+1)=zdata(i, j) |
| 122 |
xusn(i+iext)=xdata(i) |
| 123 |
ENDDO |
| 124 |
DO i=1, iext |
| 125 |
zusn(i, j+1)=zdata(iusn-iext+i, j) |
| 126 |
xusn(i)=xdata(iusn-iext+i)-2.*pi |
| 127 |
zusn(iusn+iext+i, j+1)=zdata(i, j) |
| 128 |
xusn(iusn+iext+i)=xdata(i)+2.*pi |
| 129 |
ENDDO |
| 130 |
ENDDO |
| 131 |
|
| 132 |
yusn(1)=ydata(1)+(ydata(1)-ydata(2)) |
| 133 |
yusn(jusn+2)=ydata(jusn)+(ydata(jusn)-ydata(jusn-1)) |
| 134 |
DO i=1, iusn/2+iext |
| 135 |
zusn(i, 1)=zusn(i+iusn/2, 2) |
| 136 |
zusn(i+iusn/2+iext, 1)=zusn(i, 2) |
| 137 |
zusn(i, jusn+2)=zusn(i+iusn/2, jusn+1) |
| 138 |
zusn(i+iusn/2+iext, jusn+2)=zusn(i, jusn+1) |
| 139 |
ENDDO |
| 140 |
|
| 141 |
! COMPUTE LIMITS OF MODEL GRIDPOINT AREA |
| 142 |
! ( REGULAR GRID) |
| 143 |
|
| 144 |
a(1) = x(1) - (x(2)-x(1))/2.0 |
| 145 |
b(1) = (x(1)+x(2))/2.0 |
| 146 |
DO i = 2, iim |
| 147 |
a(i) = b(i-1) |
| 148 |
b(i) = (x(i)+x(i+1))/2.0 |
| 149 |
ENDDO |
| 150 |
a(iim+1) = b(iim) |
| 151 |
b(iim+1) = x(iim+1) + (x(iim+1)-x(iim))/2.0 |
| 152 |
|
| 153 |
c(1) = y(1) - (y(2)-y(1))/2.0 |
| 154 |
d(1) = (y(1)+y(2))/2.0 |
| 155 |
DO j = 2, jjm |
| 156 |
c(j) = d(j-1) |
| 157 |
d(j) = (y(j)+y(j+1))/2.0 |
| 158 |
ENDDO |
| 159 |
c(jjm + 1) = d(jjm) |
| 160 |
d(jjm + 1) = y(jjm + 1) + (y(jjm + 1)-y(jjm))/2.0 |
| 161 |
|
| 162 |
! Initialisations : |
| 163 |
weight(:, :) = 0. |
| 164 |
zxtzx(:, :) = 0. |
| 165 |
zytzy(:, :) = 0. |
| 166 |
zxtzy(:, :) = 0. |
| 167 |
ztz(:, :) = 0. |
| 168 |
zmea(:, :) = 0. |
| 169 |
zpic(:, :) =-1.E+10 |
| 170 |
zval(:, :) = 1.E+10 |
| 171 |
|
| 172 |
! COMPUTE SLOPES CORRELATIONS ON USN GRID |
| 173 |
|
| 174 |
zytzyusn(:, :)=0. |
| 175 |
zxtzxusn(:, :)=0. |
| 176 |
zxtzyusn(:, :)=0. |
| 177 |
|
| 178 |
DO j = 2, jusn+1 |
| 179 |
zdeltax=zdeltay*cos(yusn(j)) |
| 180 |
DO i = 2, iusn+2*iext-1 |
| 181 |
zytzyusn(i, j)=(zusn(i, j+1)-zusn(i, j-1))**2/zdeltay**2 |
| 182 |
zxtzxusn(i, j)=(zusn(i+1, j)-zusn(i-1, j))**2/zdeltax**2 |
| 183 |
zxtzyusn(i, j)=(zusn(i, j+1)-zusn(i, j-1))/zdeltay & |
| 184 |
*(zusn(i+1, j)-zusn(i-1, j))/zdeltax |
| 185 |
ENDDO |
| 186 |
ENDDO |
| 187 |
|
| 188 |
! SUMMATION OVER GRIDPOINT AREA |
| 189 |
|
| 190 |
zleny=pi/real(jusn)*rad |
| 191 |
xincr=pi/2./real(jusn) |
| 192 |
DO ii = 1, iim+1 |
| 193 |
DO jj = 1, jjm + 1 |
| 194 |
num_tot(ii, jj)=0. |
| 195 |
num_lan(ii, jj)=0. |
| 196 |
DO j = 2, jusn+1 |
| 197 |
zlenx=zleny*cos(yusn(j)) |
| 198 |
zdeltax=zdeltay*cos(yusn(j)) |
| 199 |
zbordnor=(c(jj)-yusn(j)+xincr)*rad |
| 200 |
zbordsud=(yusn(j)-d(jj)+xincr)*rad |
| 201 |
weighy=AMAX1(0., amin1(zbordnor, zbordsud, zleny)) |
| 202 |
IF (weighy /= 0) THEN |
| 203 |
DO i = 2, iusn+2*iext-1 |
| 204 |
zbordest=(xusn(i)-a(ii)+xincr)*rad*cos(yusn(j)) |
| 205 |
zbordoue=(b(ii)+xincr-xusn(i))*rad*cos(yusn(j)) |
| 206 |
weighx=AMAX1(0., amin1(zbordest, zbordoue, zlenx)) |
| 207 |
IF (weighx /= 0) THEN |
| 208 |
num_tot(ii, jj) = num_tot(ii, jj) + 1. |
| 209 |
if (zusn(i, j) >= 1.) then |
| 210 |
num_lan(ii, jj) = num_lan(ii, jj) + 1. |
| 211 |
end if |
| 212 |
weight(ii, jj) = weight(ii, jj) + weighx * weighy |
| 213 |
zxtzx(ii, jj)=zxtzx(ii, jj)+zxtzxusn(i, j)*weighx*weighy |
| 214 |
zytzy(ii, jj)=zytzy(ii, jj)+zytzyusn(i, j)*weighx*weighy |
| 215 |
zxtzy(ii, jj)=zxtzy(ii, jj)+zxtzyusn(i, j)*weighx*weighy |
| 216 |
ztz(ii, jj) = ztz(ii, jj) & |
| 217 |
+ zusn(i, j) * zusn(i, j) * weighx * weighy |
| 218 |
! mean |
| 219 |
zmea(ii, jj) =zmea(ii, jj)+zusn(i, j)*weighx*weighy |
| 220 |
! peacks |
| 221 |
zpic(ii, jj)=amax1(zpic(ii, jj), zusn(i, j)) |
| 222 |
! valleys |
| 223 |
zval(ii, jj)=amin1(zval(ii, jj), zusn(i, j)) |
| 224 |
ENDIF |
| 225 |
ENDDO |
| 226 |
ENDIF |
| 227 |
ENDDO |
| 228 |
ENDDO |
| 229 |
ENDDO |
| 230 |
|
| 231 |
if (any(weight == 0.)) stop "zero weight in grid_noro" |
| 232 |
|
| 233 |
! COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND |
| 234 |
! LOTT (1999) SSO SCHEME. |
| 235 |
|
| 236 |
zllmmea=0. |
| 237 |
zllmstd=0. |
| 238 |
zllmsig=0. |
| 239 |
zllmgam=0. |
| 240 |
zllmpic=0. |
| 241 |
zllmval=0. |
| 242 |
zllmthe=0. |
| 243 |
zminthe=0. |
| 244 |
DO ii = 1, iim+1 |
| 245 |
DO jj = 1, jjm + 1 |
| 246 |
mask(ii, jj) = num_lan(ii, jj)/num_tot(ii, jj) |
| 247 |
! Mean Orography: |
| 248 |
zmea (ii, jj)=zmea (ii, jj)/weight(ii, jj) |
| 249 |
zxtzx(ii, jj)=zxtzx(ii, jj)/weight(ii, jj) |
| 250 |
zytzy(ii, jj)=zytzy(ii, jj)/weight(ii, jj) |
| 251 |
zxtzy(ii, jj)=zxtzy(ii, jj)/weight(ii, jj) |
| 252 |
ztz(ii, jj) =ztz(ii, jj)/weight(ii, jj) |
| 253 |
! Standard deviation: |
| 254 |
zstd(ii, jj)=sqrt(MAX(0., ztz(ii, jj) - zmea(ii, jj)**2)) |
| 255 |
ENDDO |
| 256 |
ENDDO |
| 257 |
|
| 258 |
! CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: |
| 259 |
|
| 260 |
DO ii = 1, iim+1 |
| 261 |
zxtzx(ii, 1)=zxtzx(ii, 2) |
| 262 |
zxtzx(ii, jjm + 1)=zxtzx(ii, jjm) |
| 263 |
zxtzy(ii, 1)=zxtzy(ii, 2) |
| 264 |
zxtzy(ii, jjm + 1)=zxtzy(ii, jjm) |
| 265 |
zytzy(ii, 1)=zytzy(ii, 2) |
| 266 |
zytzy(ii, jjm + 1)=zytzy(ii, jjm) |
| 267 |
ENDDO |
| 268 |
|
| 269 |
! FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME. |
| 270 |
|
| 271 |
! FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. |
| 272 |
|
| 273 |
CALL MVA9(zmea) |
| 274 |
CALL MVA9(zstd) |
| 275 |
CALL MVA9(zpic) |
| 276 |
CALL MVA9(zval) |
| 277 |
CALL MVA9(zxtzx) |
| 278 |
CALL MVA9(zxtzy) |
| 279 |
CALL MVA9(zytzy) |
| 280 |
|
| 281 |
! Masque prenant en compte maximum de terre |
| 282 |
! On seuil a 10% de terre de terre car en dessous les parametres |
| 283 |
! de surface n'ont pas de sens (PB) |
| 284 |
mask_tmp= 0. |
| 285 |
WHERE (mask >= 0.1) mask_tmp = 1. |
| 286 |
|
| 287 |
DO ii = 1, iim |
| 288 |
DO jj = 1, jjm + 1 |
| 289 |
IF (weight(ii, jj) /= 0.) THEN |
| 290 |
! Coefficients K, L et M: |
| 291 |
xk=(zxtzx(ii, jj)+zytzy(ii, jj))/2. |
| 292 |
xl=(zxtzx(ii, jj)-zytzy(ii, jj))/2. |
| 293 |
xm=zxtzy(ii, jj) |
| 294 |
xp=xk-sqrt(xl**2+xm**2) |
| 295 |
xq=xk+sqrt(xl**2+xm**2) |
| 296 |
xw=1.e-8 |
| 297 |
if(xp.le.xw) xp=0. |
| 298 |
if(xq.le.xw) xq=xw |
| 299 |
if(abs(xm).le.xw) xm=xw*sign(1., xm) |
| 300 |
!$$* PB modif pour maque de terre fractionnaire |
| 301 |
! slope: |
| 302 |
zsig(ii, jj)=sqrt(xq)*mask_tmp(ii, jj) |
| 303 |
! isotropy: |
| 304 |
zgam(ii, jj)=xp/xq*mask_tmp(ii, jj) |
| 305 |
! angle theta: |
| 306 |
zthe(ii, jj)=57.29577951*atan2(xm, xl)/2.*mask_tmp(ii, jj) |
| 307 |
zphi(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) |
| 308 |
zmea(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) |
| 309 |
zpic(ii, jj)=zpic(ii, jj)*mask_tmp(ii, jj) |
| 310 |
zval(ii, jj)=zval(ii, jj)*mask_tmp(ii, jj) |
| 311 |
zstd(ii, jj)=zstd(ii, jj)*mask_tmp(ii, jj) |
| 312 |
ENDIF |
| 313 |
zllmmea=AMAX1(zmea(ii, jj), zllmmea) |
| 314 |
zllmstd=AMAX1(zstd(ii, jj), zllmstd) |
| 315 |
zllmsig=AMAX1(zsig(ii, jj), zllmsig) |
| 316 |
zllmgam=AMAX1(zgam(ii, jj), zllmgam) |
| 317 |
zllmthe=AMAX1(zthe(ii, jj), zllmthe) |
| 318 |
zminthe=amin1(zthe(ii, jj), zminthe) |
| 319 |
zllmpic=AMAX1(zpic(ii, jj), zllmpic) |
| 320 |
zllmval=AMAX1(zval(ii, jj), zllmval) |
| 321 |
ENDDO |
| 322 |
ENDDO |
| 323 |
print *, 'MEAN ORO: ', zllmmea |
| 324 |
print *, 'ST. DEV.: ', zllmstd |
| 325 |
print *, 'PENTE: ', zllmsig |
| 326 |
print *, 'ANISOTROP: ', zllmgam |
| 327 |
print *, 'ANGLE: ', zminthe, zllmthe |
| 328 |
print *, 'pic: ', zllmpic |
| 329 |
print *, 'val: ', zllmval |
| 330 |
|
| 331 |
! gamma and theta a 1. and 0. at poles |
| 332 |
zmea(iim+1, :)=zmea(1, :) |
| 333 |
zphi(iim+1, :)=zphi(1, :) |
| 334 |
zpic(iim+1, :)=zpic(1, :) |
| 335 |
zval(iim+1, :)=zval(1, :) |
| 336 |
zstd(iim+1, :)=zstd(1, :) |
| 337 |
zsig(iim+1, :)=zsig(1, :) |
| 338 |
zgam(iim+1, :)=zgam(1, :) |
| 339 |
zthe(iim+1, :)=zthe(1, :) |
| 340 |
|
| 341 |
zmeanor=0. |
| 342 |
zmeasud=0. |
| 343 |
zstdnor=0. |
| 344 |
zstdsud=0. |
| 345 |
zsignor=0. |
| 346 |
zsigsud=0. |
| 347 |
zweinor=0. |
| 348 |
zweisud=0. |
| 349 |
zpicnor=0. |
| 350 |
zpicsud=0. |
| 351 |
zvalnor=0. |
| 352 |
zvalsud=0. |
| 353 |
|
| 354 |
DO ii=1, iim |
| 355 |
zweinor=zweinor+ weight(ii, 1) |
| 356 |
zweisud=zweisud+ weight(ii, jjm + 1) |
| 357 |
zmeanor=zmeanor+zmea(ii, 1)*weight(ii, 1) |
| 358 |
zmeasud=zmeasud+zmea(ii, jjm + 1)*weight(ii, jjm + 1) |
| 359 |
zstdnor=zstdnor+zstd(ii, 1)*weight(ii, 1) |
| 360 |
zstdsud=zstdsud+zstd(ii, jjm + 1)*weight(ii, jjm + 1) |
| 361 |
zsignor=zsignor+zsig(ii, 1)*weight(ii, 1) |
| 362 |
zsigsud=zsigsud+zsig(ii, jjm + 1)*weight(ii, jjm + 1) |
| 363 |
zpicnor=zpicnor+zpic(ii, 1)*weight(ii, 1) |
| 364 |
zpicsud=zpicsud+zpic(ii, jjm + 1)*weight(ii, jjm + 1) |
| 365 |
zvalnor=zvalnor+zval(ii, 1)*weight(ii, 1) |
| 366 |
zvalsud=zvalsud+zval(ii, jjm + 1)*weight(ii, jjm + 1) |
| 367 |
ENDDO |
| 368 |
|
| 369 |
zmea(:, 1)=zmeanor/zweinor |
| 370 |
zmea(:, jjm + 1)=zmeasud/zweisud |
| 371 |
|
| 372 |
zphi(:, 1)=zmeanor/zweinor |
| 373 |
zphi(:, jjm + 1)=zmeasud/zweisud |
| 374 |
|
| 375 |
zpic(:, 1)=zpicnor/zweinor |
| 376 |
zpic(:, jjm + 1)=zpicsud/zweisud |
| 377 |
|
| 378 |
zval(:, 1)=zvalnor/zweinor |
| 379 |
zval(:, jjm + 1)=zvalsud/zweisud |
| 380 |
|
| 381 |
zstd(:, 1)=zstdnor/zweinor |
| 382 |
zstd(:, jjm + 1)=zstdsud/zweisud |
| 383 |
|
| 384 |
zsig(:, 1)=zsignor/zweinor |
| 385 |
zsig(:, jjm + 1)=zsigsud/zweisud |
| 386 |
|
| 387 |
zgam(:, 1)=1. |
| 388 |
zgam(:, jjm + 1)=1. |
| 389 |
|
| 390 |
zthe(:, 1)=0. |
| 391 |
zthe(:, jjm + 1)=0. |
| 392 |
|
| 393 |
END SUBROUTINE grid_noro |
| 394 |
|
| 395 |
end module grid_noro_m |
Parent Directory
| 
Revision Log