| 1 |
module grid_noro_m |
module grid_noro_m |
| 2 |
|
|
|
! Clean: no C preprocessor directive, no include line |
|
|
|
|
| 3 |
implicit none |
implicit none |
| 4 |
|
|
|
private mva9 |
|
|
|
|
| 5 |
contains |
contains |
| 6 |
|
|
| 7 |
SUBROUTINE grid_noro(xdata, ydata, zdata, x, y, zphi, zmea, zstd, zsig, & |
SUBROUTINE grid_noro(xdata, ydata, zdata, x, y, zphi, zmea, zstd, zsig, & |
| 9 |
|
|
| 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 |
|
|
| 12 |
! Authors: F. Lott, Z. X. Li, A. Harzallah and L. Fairhead |
! Authors: François Lott, Laurent Li, A. Harzallah and Laurent |
| 13 |
|
! Fairhead |
| 14 |
|
|
| 15 |
|
! Compute the parameters of the sub-grid scale orography scheme as |
| 16 |
|
! described in Lott and Miller (1997) and Lott (1999). |
| 17 |
|
|
|
! Compute the parameters of the SSO scheme as described in |
|
|
! Lott and Miller (1997) and Lott (1999). |
|
| 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) |
| 21 |
! At the poles the field value is repeated iim+1 times. |
! At the poles the field value is repeated iim + 1 times. |
| 22 |
|
|
| 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 |
! gridpoint region. The means over this region are calculated from |
| 25 |
! from USN data, ponderated by a weight proportional to the |
! US Navy data, ponderated by a weight proportional to the surface |
| 26 |
! surface occupied by the data inside the model gridpoint area. |
! occupied by the data inside the model gridpoint area. In most |
| 27 |
! In most circumstances, this weight is the ratio between the |
! circumstances, this weight is the ratio between the surface of |
| 28 |
! surface of the USN gridpoint area and the surface of the |
! the US Navy gridpoint area and the surface of the model gridpoint |
| 29 |
! model gridpoint area. |
! area. See "grid_noto.txt". |
|
|
|
|
! (c) |
|
|
! ----d----- |
|
|
! | . . . .| |
|
|
! | | |
|
|
! (b)a . * . .b(a) |
|
|
! | | |
|
|
! | . . . .| |
|
|
! ----c----- |
|
|
! (d) |
|
| 30 |
|
|
| 31 |
use dimens_m, only: iim, jjm |
use dimens_m, only: iim, jjm |
| 32 |
|
use mva9_m, only: mva9 |
| 33 |
use nr_util, only: assert, pi |
use nr_util, only: assert, pi |
| 34 |
|
|
| 35 |
REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field |
| 36 |
REAL, intent(in):: zdata(:, :) ! input field |
REAL, intent(in):: zdata(:, :) ! input field |
| 37 |
REAL, intent(in):: x(:), y(:) ! ccordinates output field |
REAL, intent(in):: x(:), y(:) ! coordinates of output field |
|
|
|
|
! Correlations of USN orography gradients: |
|
| 38 |
|
|
| 39 |
REAL zphi(:, :) |
! Correlations of US Navy orography gradients: |
| 40 |
real, intent(out):: zmea(:, :) ! Mean orography |
REAL, intent(out):: zphi(:, :) ! orography not smoothed |
| 41 |
|
real, intent(out):: zmea(:, :) ! smoothed orography |
| 42 |
real, intent(out):: zstd(:, :) ! Standard deviation |
real, intent(out):: zstd(:, :) ! Standard deviation |
| 43 |
REAL zsig(:, :) ! Slope |
REAL, intent(out):: zsig(:, :) ! Slope |
| 44 |
real zgam(:, :) ! Anisotropy |
real, intent(out):: zgam(:, :) ! Anisotropy |
| 45 |
real zthe(:, :) ! Orientation of the small axis |
real, intent(out):: zthe(:, :) ! Orientation of the small axis |
| 46 |
REAL, intent(out):: zpic(:, :) ! Maximum altitude |
REAL, intent(out):: zpic(:, :) ! Maximum altitude |
| 47 |
real, intent(out):: zval(:, :) ! Minimum altitude |
real, intent(out):: zval(:, :) ! Minimum altitude |
| 48 |
|
|
| 52 |
|
|
| 53 |
! In this version it is assumed that the input data come from |
! In this version it is assumed that the input data come from |
| 54 |
! the US Navy dataset: |
! the US Navy dataset: |
| 55 |
integer, parameter:: iusn=2160, jusn=1080 |
integer, parameter:: iusn = 2160, jusn = 1080 |
| 56 |
|
integer, parameter:: iext = 216 |
| 57 |
integer, parameter:: iext=216 |
REAL xusn(iusn + 2 * iext), yusn(jusn + 2) |
| 58 |
REAL xusn(iusn+2*iext), yusn(jusn+2) |
REAL zusn(iusn + 2 * iext, jusn + 2) |
| 59 |
REAL zusn(iusn+2*iext, jusn+2) |
|
| 60 |
|
! Intermediate fields (correlations of orography gradient) |
| 61 |
! Intermediate fields (correlations of orography gradient) |
REAL, dimension(iim + 1, jjm + 1):: ztz, zxtzx, zytzy, zxtzy, weight |
| 62 |
|
|
| 63 |
REAL ztz(iim+1, jjm+1), zxtzx(iim+1, jjm+1) |
! Correlations of US Navy orography gradients: |
| 64 |
REAL zytzy(iim+1, jjm+1), zxtzy(iim+1, jjm+1) |
REAL, dimension(iusn + 2 * iext, jusn + 2):: zxtzxusn, zytzyusn, zxtzyusn |
| 65 |
REAL weight(iim+1, jjm+1) |
|
| 66 |
|
real, dimension(iim + 1, jjm + 1):: mask_tmp, num_tot, num_lan, zmea0 |
| 67 |
! Correlations of USN orography gradients: |
REAL a(iim + 1), b(iim + 1), c(jjm + 1), d(jjm + 1) |
| 68 |
|
real weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
|
REAL zxtzxusn(iusn+2*iext, jusn+2), zytzyusn(iusn+2*iext, jusn+2) |
|
|
REAL zxtzyusn(iusn+2*iext, jusn+2) |
|
|
|
|
|
real mask_tmp(size(x), size(y)) |
|
|
real num_tot(2200, 1100), num_lan(2200, 1100) |
|
|
|
|
|
REAL a(2200), b(2200), c(1100), d(1100) |
|
|
real rad, weighx, weighy, xincr, xk, xp, xm, xw, xq, xl |
|
| 69 |
real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud |
real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud |
| 70 |
real zllmpic, zllmmea, zllmgam, zllmthe, zllmstd, zllmsig, zllmval |
real zllmpic, zllmmea, zllmgam, zllmthe, zllmstd, zllmsig, zllmval |
| 71 |
real zpicnor, zminthe, zsigsud, zstdnor, zstdsud, zvalsud, zvalnor |
real zpicnor, zminthe, zsigsud, zstdnor, zstdsud, zvalsud, zvalnor |
| 72 |
real zweinor, zweisud, zsignor, zpicsud, zmeanor, zbordest |
real zweinor, zweisud, zsignor, zpicsud, zmeanor, zbordest |
| 73 |
integer ii, i, jj, j |
integer ii, i, jj, j |
| 74 |
|
real, parameter:: rad = 6371229. |
| 75 |
|
|
| 76 |
!------------------------------- |
!------------------------------- |
| 77 |
|
|
| 88 |
size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & |
size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & |
| 89 |
size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") |
size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") |
| 90 |
|
|
|
IF (iim > 2200 .OR. jjm > 1099) THEN |
|
|
print *, "iim = ", iim, ", jjm = ", jjm |
|
|
stop '"iim" or "jjm" is too big' |
|
|
ENDIF |
|
|
|
|
| 91 |
print *, "Paramètres de l'orographie à l'échelle sous-maille" |
print *, "Paramètres de l'orographie à l'échelle sous-maille" |
|
rad = 6371229. |
|
| 92 |
zdeltay = 2. * pi / real(jusn) * rad |
zdeltay = 2. * pi / real(jusn) * rad |
| 93 |
|
|
| 94 |
! Extension of the USN database to POCEED computations at boundaries: |
! Extension of the US Navy database for computations at boundaries: |
| 95 |
|
|
| 96 |
DO j=1, jusn |
DO j = 1, jusn |
| 97 |
yusn(j+1)=ydata(j) |
yusn(j + 1) = ydata(j) |
| 98 |
DO i=1, iusn |
DO i = 1, iusn |
| 99 |
zusn(i+iext, j+1)=zdata(i, j) |
zusn(i + iext, j + 1) = zdata(i, j) |
| 100 |
xusn(i+iext)=xdata(i) |
xusn(i + iext) = xdata(i) |
| 101 |
ENDDO |
ENDDO |
| 102 |
DO i=1, iext |
DO i = 1, iext |
| 103 |
zusn(i, j+1)=zdata(iusn-iext+i, j) |
zusn(i, j + 1) = zdata(iusn - iext + i, j) |
| 104 |
xusn(i)=xdata(iusn-iext+i)-2.*pi |
xusn(i) = xdata(iusn - iext + i) - 2. * pi |
| 105 |
zusn(iusn+iext+i, j+1)=zdata(i, j) |
zusn(iusn + iext + i, j + 1) = zdata(i, j) |
| 106 |
xusn(iusn+iext+i)=xdata(i)+2.*pi |
xusn(iusn + iext + i) = xdata(i) + 2. * pi |
| 107 |
ENDDO |
ENDDO |
| 108 |
ENDDO |
ENDDO |
| 109 |
|
|
| 110 |
yusn(1)=ydata(1)+(ydata(1)-ydata(2)) |
yusn(1) = ydata(1) + (ydata(1) - ydata(2)) |
| 111 |
yusn(jusn+2)=ydata(jusn)+(ydata(jusn)-ydata(jusn-1)) |
yusn(jusn + 2) = ydata(jusn) + (ydata(jusn) - ydata(jusn - 1)) |
| 112 |
DO i=1, iusn/2+iext |
DO i = 1, iusn / 2 + iext |
| 113 |
zusn(i, 1)=zusn(i+iusn/2, 2) |
zusn(i, 1) = zusn(i + iusn / 2, 2) |
| 114 |
zusn(i+iusn/2+iext, 1)=zusn(i, 2) |
zusn(i + iusn / 2 + iext, 1) = zusn(i, 2) |
| 115 |
zusn(i, jusn+2)=zusn(i+iusn/2, jusn+1) |
zusn(i, jusn + 2) = zusn(i + iusn / 2, jusn + 1) |
| 116 |
zusn(i+iusn/2+iext, jusn+2)=zusn(i, jusn+1) |
zusn(i + iusn / 2 + iext, jusn + 2) = zusn(i, jusn + 1) |
| 117 |
ENDDO |
ENDDO |
| 118 |
|
|
| 119 |
! COMPUTE LIMITS OF MODEL GRIDPOINT AREA |
! Compute limits of model gridpoint area (regular grid) |
|
! ( REGULAR GRID) |
|
| 120 |
|
|
| 121 |
a(1) = x(1) - (x(2)-x(1))/2.0 |
a(1) = x(1) - (x(2) - x(1)) / 2.0 |
| 122 |
b(1) = (x(1)+x(2))/2.0 |
b(1) = (x(1) + x(2)) / 2.0 |
| 123 |
DO i = 2, iim |
DO i = 2, iim |
| 124 |
a(i) = b(i-1) |
a(i) = b(i - 1) |
| 125 |
b(i) = (x(i)+x(i+1))/2.0 |
b(i) = (x(i) + x(i + 1)) / 2.0 |
| 126 |
ENDDO |
ENDDO |
| 127 |
a(iim+1) = b(iim) |
a(iim + 1) = b(iim) |
| 128 |
b(iim+1) = x(iim+1) + (x(iim+1)-x(iim))/2.0 |
b(iim + 1) = x(iim + 1) + (x(iim + 1) - x(iim)) / 2.0 |
| 129 |
|
|
| 130 |
c(1) = y(1) - (y(2)-y(1))/2.0 |
c(1) = y(1) - (y(2) - y(1)) / 2.0 |
| 131 |
d(1) = (y(1)+y(2))/2.0 |
d(1) = (y(1) + y(2)) / 2.0 |
| 132 |
DO j = 2, jjm |
DO j = 2, jjm |
| 133 |
c(j) = d(j-1) |
c(j) = d(j - 1) |
| 134 |
d(j) = (y(j)+y(j+1))/2.0 |
d(j) = (y(j) + y(j + 1)) / 2.0 |
| 135 |
ENDDO |
ENDDO |
| 136 |
c(jjm + 1) = d(jjm) |
c(jjm + 1) = d(jjm) |
| 137 |
d(jjm + 1) = y(jjm + 1) + (y(jjm + 1)-y(jjm))/2.0 |
d(jjm + 1) = y(jjm + 1) + (y(jjm + 1) - y(jjm)) / 2.0 |
| 138 |
|
|
| 139 |
! Initialisations : |
! Initialisations : |
| 140 |
weight(:, :) = 0. |
weight = 0. |
| 141 |
zxtzx(:, :) = 0. |
zxtzx = 0. |
| 142 |
zytzy(:, :) = 0. |
zytzy = 0. |
| 143 |
zxtzy(:, :) = 0. |
zxtzy = 0. |
| 144 |
ztz(:, :) = 0. |
ztz = 0. |
| 145 |
zmea(:, :) = 0. |
zmea = 0. |
| 146 |
zpic(:, :) =-1.E+10 |
zpic = - 1E10 |
| 147 |
zval(:, :) = 1.E+10 |
zval = 1E10 |
| 148 |
|
|
| 149 |
! COMPUTE SLOPES CORRELATIONS ON USN GRID |
! Compute slopes correlations on US Navy grid |
| 150 |
|
|
| 151 |
zytzyusn(:, :)=0. |
zytzyusn = 0. |
| 152 |
zxtzxusn(:, :)=0. |
zxtzxusn = 0. |
| 153 |
zxtzyusn(:, :)=0. |
zxtzyusn = 0. |
| 154 |
|
|
| 155 |
DO j = 2, jusn+1 |
DO j = 2, jusn + 1 |
| 156 |
zdeltax=zdeltay*cos(yusn(j)) |
zdeltax = zdeltay * cos(yusn(j)) |
| 157 |
DO i = 2, iusn+2*iext-1 |
DO i = 2, iusn + 2 * iext - 1 |
| 158 |
zytzyusn(i, j)=(zusn(i, j+1)-zusn(i, j-1))**2/zdeltay**2 |
zytzyusn(i, j) = (zusn(i, j + 1) - zusn(i, j - 1))**2 / zdeltay**2 |
| 159 |
zxtzxusn(i, j)=(zusn(i+1, j)-zusn(i-1, j))**2/zdeltax**2 |
zxtzxusn(i, j) = (zusn(i + 1, j) - zusn(i - 1, j))**2 / zdeltax**2 |
| 160 |
zxtzyusn(i, j)=(zusn(i, j+1)-zusn(i, j-1))/zdeltay & |
zxtzyusn(i, j) = (zusn(i, j + 1) - zusn(i, j - 1)) / zdeltay & |
| 161 |
*(zusn(i+1, j)-zusn(i-1, j))/zdeltax |
* (zusn(i + 1, j) - zusn(i - 1, j)) / zdeltax |
| 162 |
ENDDO |
ENDDO |
| 163 |
ENDDO |
ENDDO |
| 164 |
|
|
| 165 |
! SUMMATION OVER GRIDPOINT AREA |
! Summation over gridpoint area |
| 166 |
|
|
| 167 |
zleny=pi/real(jusn)*rad |
zleny = pi / real(jusn) * rad |
| 168 |
xincr=pi/2./real(jusn) |
xincr = pi / 2. / real(jusn) |
| 169 |
DO ii = 1, iim+1 |
DO ii = 1, iim + 1 |
| 170 |
DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
| 171 |
num_tot(ii, jj)=0. |
num_tot(ii, jj) = 0. |
| 172 |
num_lan(ii, jj)=0. |
num_lan(ii, jj) = 0. |
| 173 |
DO j = 2, jusn+1 |
DO j = 2, jusn + 1 |
| 174 |
zlenx=zleny*cos(yusn(j)) |
zlenx = zleny * cos(yusn(j)) |
| 175 |
zdeltax=zdeltay*cos(yusn(j)) |
zdeltax = zdeltay * cos(yusn(j)) |
| 176 |
zbordnor=(c(jj)-yusn(j)+xincr)*rad |
zbordnor = (c(jj) - yusn(j) + xincr) * rad |
| 177 |
zbordsud=(yusn(j)-d(jj)+xincr)*rad |
zbordsud = (yusn(j) - d(jj) + xincr) * rad |
| 178 |
weighy=AMAX1(0., amin1(zbordnor, zbordsud, zleny)) |
weighy = MAX(0., min(zbordnor, zbordsud, zleny)) |
| 179 |
IF (weighy /= 0) THEN |
IF (weighy /= 0) THEN |
| 180 |
DO i = 2, iusn+2*iext-1 |
DO i = 2, iusn + 2 * iext - 1 |
| 181 |
zbordest=(xusn(i)-a(ii)+xincr)*rad*cos(yusn(j)) |
zbordest = (xusn(i) - a(ii) + xincr) * rad * cos(yusn(j)) |
| 182 |
zbordoue=(b(ii)+xincr-xusn(i))*rad*cos(yusn(j)) |
zbordoue = (b(ii) + xincr - xusn(i)) * rad * cos(yusn(j)) |
| 183 |
weighx=AMAX1(0., amin1(zbordest, zbordoue, zlenx)) |
weighx = MAX(0., min(zbordest, zbordoue, zlenx)) |
| 184 |
IF (weighx /= 0) THEN |
IF (weighx /= 0) THEN |
| 185 |
num_tot(ii, jj) = num_tot(ii, jj) + 1. |
num_tot(ii, jj) = num_tot(ii, jj) + 1. |
| 186 |
if (zusn(i, j) >= 1.) then |
if (zusn(i, j) >= 1.) then |
| 187 |
num_lan(ii, jj) = num_lan(ii, jj) + 1. |
num_lan(ii, jj) = num_lan(ii, jj) + 1. |
| 188 |
end if |
end if |
| 189 |
weight(ii, jj) = weight(ii, jj) + weighx * weighy |
weight(ii, jj) = weight(ii, jj) + weighx * weighy |
| 190 |
zxtzx(ii, jj)=zxtzx(ii, jj)+zxtzxusn(i, j)*weighx*weighy |
zxtzx(ii, jj) = zxtzx(ii, jj) & |
| 191 |
zytzy(ii, jj)=zytzy(ii, jj)+zytzyusn(i, j)*weighx*weighy |
+ zxtzxusn(i, j) * weighx * weighy |
| 192 |
zxtzy(ii, jj)=zxtzy(ii, jj)+zxtzyusn(i, j)*weighx*weighy |
zytzy(ii, jj) = zytzy(ii, jj) & |
| 193 |
|
+ zytzyusn(i, j) * weighx * weighy |
| 194 |
|
zxtzy(ii, jj) = zxtzy(ii, jj) & |
| 195 |
|
+ zxtzyusn(i, j) * weighx * weighy |
| 196 |
ztz(ii, jj) = ztz(ii, jj) & |
ztz(ii, jj) = ztz(ii, jj) & |
| 197 |
+ zusn(i, j) * zusn(i, j) * weighx * weighy |
+ zusn(i, j) * zusn(i, j) * weighx * weighy |
| 198 |
! mean |
! mean |
| 199 |
zmea(ii, jj) =zmea(ii, jj)+zusn(i, j)*weighx*weighy |
zmea(ii, jj) = zmea(ii, jj) + zusn(i, j) * weighx * weighy |
| 200 |
! peacks |
! peacks |
| 201 |
zpic(ii, jj)=amax1(zpic(ii, jj), zusn(i, j)) |
zpic(ii, jj) = max(zpic(ii, jj), zusn(i, j)) |
| 202 |
! valleys |
! valleys |
| 203 |
zval(ii, jj)=amin1(zval(ii, jj), zusn(i, j)) |
zval(ii, jj) = min(zval(ii, jj), zusn(i, j)) |
| 204 |
ENDIF |
ENDIF |
| 205 |
ENDDO |
ENDDO |
| 206 |
ENDIF |
ENDIF |
| 208 |
ENDDO |
ENDDO |
| 209 |
ENDDO |
ENDDO |
| 210 |
|
|
| 211 |
if (any(weight == 0.)) stop "zero weight in grid_noro" |
if (any(weight == 0.)) then |
| 212 |
|
print *, "zero weight in grid_noro" |
| 213 |
! COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND |
stop 1 |
| 214 |
! LOTT (1999) SSO SCHEME. |
end if |
| 215 |
|
|
| 216 |
zllmmea=0. |
! Compute parameters needed by the Lott & Miller (1997) and Lott |
| 217 |
zllmstd=0. |
! (1999) subgrid-scale orographic scheme. |
| 218 |
zllmsig=0. |
|
| 219 |
zllmgam=0. |
zllmmea = 0. |
| 220 |
zllmpic=0. |
zllmstd = 0. |
| 221 |
zllmval=0. |
zllmsig = 0. |
| 222 |
zllmthe=0. |
zllmgam = 0. |
| 223 |
zminthe=0. |
zllmpic = 0. |
| 224 |
DO ii = 1, iim+1 |
zllmval = 0. |
| 225 |
|
zllmthe = 0. |
| 226 |
|
zminthe = 0. |
| 227 |
|
DO ii = 1, iim + 1 |
| 228 |
DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
| 229 |
mask(ii, jj) = num_lan(ii, jj)/num_tot(ii, jj) |
mask(ii, jj) = num_lan(ii, jj) / num_tot(ii, jj) |
| 230 |
! Mean Orography: |
! Mean orography: |
| 231 |
zmea (ii, jj)=zmea (ii, jj)/weight(ii, jj) |
zmea (ii, jj) = zmea (ii, jj) / weight(ii, jj) |
| 232 |
zxtzx(ii, jj)=zxtzx(ii, jj)/weight(ii, jj) |
zxtzx(ii, jj) = zxtzx(ii, jj) / weight(ii, jj) |
| 233 |
zytzy(ii, jj)=zytzy(ii, jj)/weight(ii, jj) |
zytzy(ii, jj) = zytzy(ii, jj) / weight(ii, jj) |
| 234 |
zxtzy(ii, jj)=zxtzy(ii, jj)/weight(ii, jj) |
zxtzy(ii, jj) = zxtzy(ii, jj) / weight(ii, jj) |
| 235 |
ztz(ii, jj) =ztz(ii, jj)/weight(ii, jj) |
ztz(ii, jj) = ztz(ii, jj) / weight(ii, jj) |
| 236 |
! Standard deviation: |
! Standard deviation: |
| 237 |
zstd(ii, jj)=sqrt(MAX(0., ztz(ii, jj) - zmea(ii, jj)**2)) |
zstd(ii, jj) = sqrt(MAX(0., ztz(ii, jj) - zmea(ii, jj)**2)) |
| 238 |
ENDDO |
ENDDO |
| 239 |
ENDDO |
ENDDO |
| 240 |
|
|
| 241 |
! CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: |
! Correct values of horizontal slope near the poles: |
| 242 |
|
DO ii = 1, iim + 1 |
| 243 |
DO ii = 1, iim+1 |
zxtzx(ii, 1) = zxtzx(ii, 2) |
| 244 |
zxtzx(ii, 1)=zxtzx(ii, 2) |
zxtzx(ii, jjm + 1) = zxtzx(ii, jjm) |
| 245 |
zxtzx(ii, jjm + 1)=zxtzx(ii, jjm) |
zxtzy(ii, 1) = zxtzy(ii, 2) |
| 246 |
zxtzy(ii, 1)=zxtzy(ii, 2) |
zxtzy(ii, jjm + 1) = zxtzy(ii, jjm) |
| 247 |
zxtzy(ii, jjm + 1)=zxtzy(ii, jjm) |
zytzy(ii, 1) = zytzy(ii, 2) |
| 248 |
zytzy(ii, 1)=zytzy(ii, 2) |
zytzy(ii, jjm + 1) = zytzy(ii, jjm) |
| 249 |
zytzy(ii, jjm + 1)=zytzy(ii, jjm) |
ENDDO |
| 250 |
ENDDO |
|
| 251 |
|
zmea0 = zmea ! not smoothed |
| 252 |
! FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME. |
|
| 253 |
|
! Filters to smooth out fields for input into subgrid-scale |
| 254 |
! FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. |
! orographic scheme. |
| 255 |
|
|
| 256 |
CALL MVA9(zmea, iim+1, jjm+1) |
! First filter, moving average over 9 points. |
| 257 |
CALL MVA9(zstd, iim+1, jjm+1) |
CALL MVA9(zmea) |
| 258 |
CALL MVA9(zpic, iim+1, jjm+1) |
CALL MVA9(zstd) |
| 259 |
CALL MVA9(zval, iim+1, jjm+1) |
CALL MVA9(zpic) |
| 260 |
CALL MVA9(zxtzx, iim+1, jjm+1) |
CALL MVA9(zval) |
| 261 |
CALL MVA9(zxtzy, iim+1, jjm+1) |
CALL MVA9(zxtzx) |
| 262 |
CALL MVA9(zytzy, iim+1, jjm+1) |
CALL MVA9(zxtzy) |
| 263 |
|
CALL MVA9(zytzy) |
| 264 |
! Masque prenant en compte maximum de terre |
|
| 265 |
! On seuil a 10% de terre de terre car en dessous les parametres |
! Masque prenant en compte maximum de terre. On met un seuil à 10 |
| 266 |
! de surface n'ont pas de sens (PB) |
! % de terre car en dessous les paramètres de surface n'ont pas de |
| 267 |
mask_tmp= 0. |
! sens. |
| 268 |
WHERE (mask >= 0.1) mask_tmp = 1. |
mask_tmp = merge(1., 0., mask >= 0.1) |
| 269 |
|
|
| 270 |
DO ii = 1, iim |
DO ii = 1, iim |
| 271 |
DO jj = 1, jjm + 1 |
DO jj = 1, jjm + 1 |
| 272 |
IF (weight(ii, jj) /= 0.) THEN |
! Coefficients K, L et M: |
| 273 |
! Coefficients K, L et M: |
xk = (zxtzx(ii, jj) + zytzy(ii, jj)) / 2. |
| 274 |
xk=(zxtzx(ii, jj)+zytzy(ii, jj))/2. |
xl = (zxtzx(ii, jj) - zytzy(ii, jj)) / 2. |
| 275 |
xl=(zxtzx(ii, jj)-zytzy(ii, jj))/2. |
xm = zxtzy(ii, jj) |
| 276 |
xm=zxtzy(ii, jj) |
xp = xk - sqrt(xl**2 + xm**2) |
| 277 |
xp=xk-sqrt(xl**2+xm**2) |
xq = xk + sqrt(xl**2 + xm**2) |
| 278 |
xq=xk+sqrt(xl**2+xm**2) |
xw = 1e-8 |
| 279 |
xw=1.e-8 |
if(xp.le.xw) xp = 0. |
| 280 |
if(xp.le.xw) xp=0. |
if(xq.le.xw) xq = xw |
| 281 |
if(xq.le.xw) xq=xw |
if(abs(xm).le.xw) xm = xw * sign(1., xm) |
| 282 |
if(abs(xm).le.xw) xm=xw*sign(1., xm) |
! modification pour masque de terre fractionnaire |
| 283 |
!$$* PB modif pour maque de terre fractionnaire |
! slope: |
| 284 |
! slope: |
zsig(ii, jj) = sqrt(xq) * mask_tmp(ii, jj) |
| 285 |
zsig(ii, jj)=sqrt(xq)*mask_tmp(ii, jj) |
! isotropy: |
| 286 |
! isotropy: |
zgam(ii, jj) = xp / xq * mask_tmp(ii, jj) |
| 287 |
zgam(ii, jj)=xp/xq*mask_tmp(ii, jj) |
! angle theta: |
| 288 |
! angle theta: |
zthe(ii, jj) = 57.29577951 * atan2(xm, xl) / 2. * mask_tmp(ii, jj) |
| 289 |
zthe(ii, jj)=57.29577951*atan2(xm, xl)/2.*mask_tmp(ii, jj) |
zphi(ii, jj) = zmea0(ii, jj) * mask_tmp(ii, jj) |
| 290 |
zphi(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) |
zmea(ii, jj) = zmea(ii, jj) * mask_tmp(ii, jj) |
| 291 |
zmea(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) |
zpic(ii, jj) = zpic(ii, jj) * mask_tmp(ii, jj) |
| 292 |
zpic(ii, jj)=zpic(ii, jj)*mask_tmp(ii, jj) |
zval(ii, jj) = zval(ii, jj) * mask_tmp(ii, jj) |
| 293 |
zval(ii, jj)=zval(ii, jj)*mask_tmp(ii, jj) |
zstd(ii, jj) = zstd(ii, jj) * mask_tmp(ii, jj) |
| 294 |
zstd(ii, jj)=zstd(ii, jj)*mask_tmp(ii, jj) |
zllmmea = MAX(zmea(ii, jj), zllmmea) |
| 295 |
ENDIF |
zllmstd = MAX(zstd(ii, jj), zllmstd) |
| 296 |
zllmmea=AMAX1(zmea(ii, jj), zllmmea) |
zllmsig = MAX(zsig(ii, jj), zllmsig) |
| 297 |
zllmstd=AMAX1(zstd(ii, jj), zllmstd) |
zllmgam = MAX(zgam(ii, jj), zllmgam) |
| 298 |
zllmsig=AMAX1(zsig(ii, jj), zllmsig) |
zllmthe = MAX(zthe(ii, jj), zllmthe) |
| 299 |
zllmgam=AMAX1(zgam(ii, jj), zllmgam) |
zminthe = min(zthe(ii, jj), zminthe) |
| 300 |
zllmthe=AMAX1(zthe(ii, jj), zllmthe) |
zllmpic = MAX(zpic(ii, jj), zllmpic) |
| 301 |
zminthe=amin1(zthe(ii, jj), zminthe) |
zllmval = MAX(zval(ii, jj), zllmval) |
|
zllmpic=AMAX1(zpic(ii, jj), zllmpic) |
|
|
zllmval=AMAX1(zval(ii, jj), zllmval) |
|
| 302 |
ENDDO |
ENDDO |
| 303 |
ENDDO |
ENDDO |
| 304 |
|
|
| 305 |
print *, 'MEAN ORO: ', zllmmea |
print *, 'MEAN ORO: ', zllmmea |
| 306 |
print *, 'ST. DEV.: ', zllmstd |
print *, 'ST. DEV.: ', zllmstd |
| 307 |
print *, 'PENTE: ', zllmsig |
print *, 'PENTE: ', zllmsig |
| 310 |
print *, 'pic: ', zllmpic |
print *, 'pic: ', zllmpic |
| 311 |
print *, 'val: ', zllmval |
print *, 'val: ', zllmval |
| 312 |
|
|
| 313 |
! gamma and theta a 1. and 0. at poles |
! gamma and theta at 1. and 0. at poles |
| 314 |
zmea(iim+1, :)=zmea(1, :) |
zmea(iim + 1, :) = zmea(1, :) |
| 315 |
zphi(iim+1, :)=zphi(1, :) |
zphi(iim + 1, :) = zphi(1, :) |
| 316 |
zpic(iim+1, :)=zpic(1, :) |
zpic(iim + 1, :) = zpic(1, :) |
| 317 |
zval(iim+1, :)=zval(1, :) |
zval(iim + 1, :) = zval(1, :) |
| 318 |
zstd(iim+1, :)=zstd(1, :) |
zstd(iim + 1, :) = zstd(1, :) |
| 319 |
zsig(iim+1, :)=zsig(1, :) |
zsig(iim + 1, :) = zsig(1, :) |
| 320 |
zgam(iim+1, :)=zgam(1, :) |
zgam(iim + 1, :) = zgam(1, :) |
| 321 |
zthe(iim+1, :)=zthe(1, :) |
zthe(iim + 1, :) = zthe(1, :) |
| 322 |
|
|
| 323 |
zmeanor=0. |
zmeanor = 0. |
| 324 |
zmeasud=0. |
zmeasud = 0. |
| 325 |
zstdnor=0. |
zstdnor = 0. |
| 326 |
zstdsud=0. |
zstdsud = 0. |
| 327 |
zsignor=0. |
zsignor = 0. |
| 328 |
zsigsud=0. |
zsigsud = 0. |
| 329 |
zweinor=0. |
zweinor = 0. |
| 330 |
zweisud=0. |
zweisud = 0. |
| 331 |
zpicnor=0. |
zpicnor = 0. |
| 332 |
zpicsud=0. |
zpicsud = 0. |
| 333 |
zvalnor=0. |
zvalnor = 0. |
| 334 |
zvalsud=0. |
zvalsud = 0. |
|
|
|
|
DO ii=1, iim |
|
|
zweinor=zweinor+ weight(ii, 1) |
|
|
zweisud=zweisud+ weight(ii, jjm + 1) |
|
|
zmeanor=zmeanor+zmea(ii, 1)*weight(ii, 1) |
|
|
zmeasud=zmeasud+zmea(ii, jjm + 1)*weight(ii, jjm + 1) |
|
|
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 |
|
|
|
|
|
zmea(:, 1)=zmeanor/zweinor |
|
|
zmea(:, jjm + 1)=zmeasud/zweisud |
|
|
|
|
|
zphi(:, 1)=zmeanor/zweinor |
|
|
zphi(:, jjm + 1)=zmeasud/zweisud |
|
|
|
|
|
zpic(:, 1)=zpicnor/zweinor |
|
|
zpic(:, jjm + 1)=zpicsud/zweisud |
|
| 335 |
|
|
| 336 |
zval(:, 1)=zvalnor/zweinor |
DO ii = 1, iim |
| 337 |
zval(:, jjm + 1)=zvalsud/zweisud |
zweinor = zweinor + weight(ii, 1) |
| 338 |
|
zweisud = zweisud + weight(ii, jjm + 1) |
| 339 |
zstd(:, 1)=zstdnor/zweinor |
zmeanor = zmeanor + zmea(ii, 1) * weight(ii, 1) |
| 340 |
zstd(:, jjm + 1)=zstdsud/zweisud |
zmeasud = zmeasud + zmea(ii, jjm + 1) * weight(ii, jjm + 1) |
| 341 |
|
zstdnor = zstdnor + zstd(ii, 1) * weight(ii, 1) |
| 342 |
|
zstdsud = zstdsud + zstd(ii, jjm + 1) * weight(ii, jjm + 1) |
| 343 |
|
zsignor = zsignor + zsig(ii, 1) * weight(ii, 1) |
| 344 |
|
zsigsud = zsigsud + zsig(ii, jjm + 1) * weight(ii, jjm + 1) |
| 345 |
|
zpicnor = zpicnor + zpic(ii, 1) * weight(ii, 1) |
| 346 |
|
zpicsud = zpicsud + zpic(ii, jjm + 1) * weight(ii, jjm + 1) |
| 347 |
|
zvalnor = zvalnor + zval(ii, 1) * weight(ii, 1) |
| 348 |
|
zvalsud = zvalsud + zval(ii, jjm + 1) * weight(ii, jjm + 1) |
| 349 |
|
ENDDO |
| 350 |
|
|
| 351 |
|
zmea(:, 1) = zmeanor / zweinor |
| 352 |
|
zmea(:, jjm + 1) = zmeasud / zweisud |
| 353 |
|
|
| 354 |
|
zphi(:, 1) = zmeanor / zweinor |
| 355 |
|
zphi(:, jjm + 1) = zmeasud / zweisud |
| 356 |
|
|
| 357 |
|
zpic(:, 1) = zpicnor / zweinor |
| 358 |
|
zpic(:, jjm + 1) = zpicsud / zweisud |
| 359 |
|
|
| 360 |
|
zval(:, 1) = zvalnor / zweinor |
| 361 |
|
zval(:, jjm + 1) = zvalsud / zweisud |
| 362 |
|
|
| 363 |
|
zstd(:, 1) = zstdnor / zweinor |
| 364 |
|
zstd(:, jjm + 1) = zstdsud / zweisud |
| 365 |
|
|
| 366 |
zsig(:, 1)=zsignor/zweinor |
zsig(:, 1) = zsignor / zweinor |
| 367 |
zsig(:, jjm + 1)=zsigsud/zweisud |
zsig(:, jjm + 1) = zsigsud / zweisud |
| 368 |
|
|
| 369 |
zgam(:, 1)=1. |
zgam(:, 1) = 1. |
| 370 |
zgam(:, jjm + 1)=1. |
zgam(:, jjm + 1) = 1. |
| 371 |
|
|
| 372 |
zthe(:, 1)=0. |
zthe(:, 1) = 0. |
| 373 |
zthe(:, jjm + 1)=0. |
zthe(:, jjm + 1) = 0. |
| 374 |
|
|
| 375 |
END SUBROUTINE grid_noro |
END SUBROUTINE grid_noro |
| 376 |
|
|
|
!****************************************** |
|
|
|
|
|
SUBROUTINE MVA9(X, IMAR, JMAR) |
|
|
|
|
|
! From dyn3d/grid_noro.F, v 1.1.1.1 2004/05/19 12:53:06 |
|
|
|
|
|
! MAKE A MOVING AVERAGE OVER 9 GRIDPOINTS OF THE X FIELDS |
|
|
|
|
|
integer, intent(in):: imar, jmar |
|
|
REAL, intent(inout):: X(IMAR, JMAR) |
|
|
|
|
|
integer, PARAMETER:: ISMo=300, JSMo=200 |
|
|
real XF(ISMo, JSMo) |
|
|
real WEIGHTpb(-1:1, -1:1) |
|
|
real my_sum |
|
|
integer i, is, js, j |
|
|
|
|
|
if(imar>ismo) stop 'surdimensionner ismo dans mva9 (grid_noro)' |
|
|
if(jmar>jsmo) stop 'surdimensionner jsmo dans mva9 (grid_noro)' |
|
|
|
|
|
MY_SUM=0. |
|
|
DO IS=-1, 1 |
|
|
DO JS=-1, 1 |
|
|
WEIGHTpb(IS, JS)=1./FLOAT((1+IS**2)*(1+JS**2)) |
|
|
MY_SUM=MY_SUM+WEIGHTpb(IS, JS) |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
DO IS=-1, 1 |
|
|
DO JS=-1, 1 |
|
|
WEIGHTpb(IS, JS)=WEIGHTpb(IS, JS)/MY_SUM |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
DO J=2, JMAR-1 |
|
|
DO I=2, IMAR-1 |
|
|
XF(I, J)=0. |
|
|
DO IS=-1, 1 |
|
|
DO JS=-1, 1 |
|
|
XF(I, J)=XF(I, J)+X(I+IS, J+JS)*WEIGHTpb(IS, JS) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
DO J=2, JMAR-1 |
|
|
XF(1, J)=0. |
|
|
IS=IMAR-1 |
|
|
DO JS=-1, 1 |
|
|
XF(1, J)=XF(1, J)+X(IS, J+JS)*WEIGHTpb(-1, JS) |
|
|
ENDDO |
|
|
DO IS=0, 1 |
|
|
DO JS=-1, 1 |
|
|
XF(1, J)=XF(1, J)+X(1+IS, J+JS)*WEIGHTpb(IS, JS) |
|
|
ENDDO |
|
|
ENDDO |
|
|
XF(IMAR, J)=XF(1, J) |
|
|
ENDDO |
|
|
|
|
|
DO I=1, IMAR |
|
|
XF(I, 1)=XF(I, 2) |
|
|
XF(I, JMAR)=XF(I, JMAR-1) |
|
|
ENDDO |
|
|
|
|
|
DO I=1, IMAR |
|
|
DO J=1, JMAR |
|
|
X(I, J)=XF(I, J) |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
END SUBROUTINE MVA9 |
|
|
|
|
| 377 |
end module grid_noro_m |
end module grid_noro_m |
Parent Directory
| 
Revision Log
| 
Patch