--- trunk/libf/phylmd/Orography/grid_noro_m.f90 2011/07/01 15:00:48 47 +++ trunk/phylmd/Orography/grid_noro_m.f 2018/03/20 09:35:59 265 @@ -1,7 +1,5 @@ module grid_noro_m - ! Clean: no C preprocessor directive, no include line - implicit none contains @@ -11,85 +9,76 @@ ! From dyn3d/grid_noro.F, version 1.1.1.1 2004/05/19 12:53:06 - ! Authors: F. Lott, Z. X. Li, A. Harzallah and L. Fairhead + ! Authors: Fran\c{}cois Lott, Laurent Li, A. Harzallah and Laurent + ! Fairhead + + ! Compute the parameters of the sub-grid scale orography scheme as + ! described in Lott and Miller (1997) and Lott (1999). - ! Compute the parameters of the SSO scheme as described in - ! Lott and Miller (1997) and Lott (1999). ! Target points are on a rectangular grid: - ! jjm+1 latitudes including North and South Poles; - ! iim+1 longitudes, with periodicity: longitude(iim+1)=longitude(1) - ! At the poles the field value is repeated iim+1 times. + ! jjm + 1 latitudes including North and South Poles; + ! iim + 1 longitudes, with periodicity: longitude(iim + 1) = longitude(1) + ! At the poles the field value is repeated iim + 1 times. ! The parameters a, b, c, d represent the limite of the target - ! gridpoint region. The means over this region are calculated - ! from USN data, ponderated by a weight proportional to the - ! surface occupied by the data inside the model gridpoint area. - ! In most circumstances, this weight is the ratio between the - ! surface of the USN gridpoint area and the surface of the - ! model gridpoint area. - - ! (c) - ! ----d----- - ! | . . . .| - ! | | - ! (b)a . * . .b(a) - ! | | - ! | . . . .| - ! ----c----- - ! (d) + ! gridpoint region. The means over this region are calculated from + ! US Navy data, ponderated by a weight proportional to the surface + ! occupied by the data inside the model gridpoint area. In most + ! circumstances, this weight is the ratio between the surface of + ! the US Navy gridpoint area and the surface of the model gridpoint + ! area. See "grid_noto.txt". - use dimens_m, only: iim, jjm - use nr_util, only: assert, pi + use dimensions, only: iim, jjm use mva9_m, only: mva9 + use nr_util, only: assert, pi - REAL, intent(in):: xdata(:), ydata(:) ! coordinates of input field - REAL, intent(in):: zdata(:, :) ! input field - REAL, intent(in):: x(:), y(:) ! ccordinates output field - - ! Correlations of USN orography gradients: - - REAL zphi(:, :) - real, intent(out):: zmea(:, :) ! Mean orography - real, intent(out):: zstd(:, :) ! Standard deviation - REAL zsig(:, :) ! Slope - real zgam(:, :) ! Anisotropy - real zthe(:, :) ! Orientation of the small axis - REAL, intent(out):: zpic(:, :) ! Maximum altitude - real, intent(out):: zval(:, :) ! Minimum altitude - - real, intent(out):: mask(:, :) ! fraction of land - - ! Variables local to the procedure: + ! Coordinates of input field: + REAL, intent(in):: xdata(:) ! (iusn) + REAL, intent(in):: ydata(:) ! (jusn) - ! In this version it is assumed that the input data come from - ! the US Navy dataset: - integer, parameter:: iusn=2160, jusn=1080 + REAL, intent(in):: zdata(:, :) ! (iusn, jusn) input field, in m + REAL, intent(in):: x(:), y(:) ! coordinates of output field - integer, parameter:: iext=216 - REAL xusn(iusn+2*iext), yusn(jusn+2) - REAL zusn(iusn+2*iext, jusn+2) + ! Correlations of US Navy orography gradients: - ! Intermediate fields (correlations of orography gradient) + REAL, intent(out):: zphi(:, :) ! (iim + 1, jjm + 1) + ! geoptential height of orography, not smoothed, in m + + real, intent(out):: zmea(:, :) ! (iim + 1, jjm + 1) smoothed orography + real, intent(out):: zstd(:, :) ! (iim + 1, jjm + 1) Standard deviation + REAL, intent(out):: zsig(:, :) ! (iim + 1, jjm + 1) Slope + real, intent(out):: zgam(:, :) ! (iim + 1, jjm + 1) Anisotropy - REAL ztz(iim+1, jjm+1), zxtzx(iim+1, jjm+1) - REAL zytzy(iim+1, jjm+1), zxtzy(iim+1, jjm+1) - REAL weight(iim+1, jjm+1) + real, intent(out):: zthe(:, :) ! (iim + 1, jjm + 1) + ! Orientation of the small axis - ! Correlations of USN orography gradients: + REAL, intent(out):: zpic(:, :) ! (iim + 1, jjm + 1) Maximum altitude + real, intent(out):: zval(:, :) ! (iim + 1, jjm + 1) Minimum altitude - REAL zxtzxusn(iusn+2*iext, jusn+2), zytzyusn(iusn+2*iext, jusn+2) - REAL zxtzyusn(iusn+2*iext, jusn+2) + real, intent(out):: mask(:, :) ! (iim + 1, jjm + 1) fraction of land - real mask_tmp(size(x), size(y)) - real num_tot(2200, 1100), num_lan(2200, 1100) + ! Local: - REAL a(2200), b(2200), c(1100), d(1100) - real rad, weighx, weighy, xincr, xk, xp, xm, xw, xq, xl + ! In this version it is assumed that the input data come from + ! the US Navy dataset: + integer, parameter:: iusn = 2160, jusn = 1080 + integer, parameter:: iext = 216 + REAL xusn(iusn + 2 * iext), yusn(jusn + 2) + REAL zusn(iusn + 2 * iext, jusn + 2) ! in m + + ! Intermediate fields (correlations of orography gradient) + REAL, dimension(iim + 1, jjm + 1):: ztz, zxtzx, zytzy, zxtzy, weight + + ! Correlations of US Navy orography gradients: + REAL, dimension(iusn + 2 * iext, jusn + 2):: zxtzxusn, zytzyusn, zxtzyusn + + real, dimension(iim + 1, jjm + 1):: mask_tmp, num_tot, num_lan + REAL a(iim + 1), b(iim + 1), c(jjm + 1), d(jjm + 1) + real weighx, weighy, xincr, xk, xp, xm, xw, xq, xl real zbordnor, zdeltax, zbordsud, zdeltay, zbordoue, zlenx, zleny, zmeasud - real zllmpic, zllmmea, zllmgam, zllmthe, zllmstd, zllmsig, zllmval - real zpicnor, zminthe, zsigsud, zstdnor, zstdsud, zvalsud, zvalnor - real zweinor, zweisud, zsignor, zpicsud, zmeanor, zbordest + real zweinor, zweisud, zmeanor, zbordest integer ii, i, jj, j + real, parameter:: rad = 6371229. !------------------------------- @@ -106,123 +95,119 @@ size(zsig, 2), size(zgam, 2), size(zthe, 2), size(zpic, 2), & size(zval, 2), size(mask, 2)/) == jjm + 1, "grid_noro jjm") - IF (iim > 2200 .OR. jjm > 1099) THEN - print *, "iim = ", iim, ", jjm = ", jjm - stop '"iim" or "jjm" is too big' - ENDIF - - print *, "Paramètres de l'orographie à l'échelle sous-maille" - rad = 6371229. + print *, "Parameters of subgrid-scale orography" zdeltay = 2. * pi / real(jusn) * rad - ! Extension of the USN database to POCEED computations at boundaries: + ! Extension of the US Navy database for computations at boundaries: - DO j=1, jusn - yusn(j+1)=ydata(j) - DO i=1, iusn - zusn(i+iext, j+1)=zdata(i, j) - xusn(i+iext)=xdata(i) + DO j = 1, jusn + yusn(j + 1) = ydata(j) + DO i = 1, iusn + zusn(i + iext, j + 1) = zdata(i, j) + xusn(i + iext) = xdata(i) ENDDO - DO i=1, iext - zusn(i, j+1)=zdata(iusn-iext+i, j) - xusn(i)=xdata(iusn-iext+i)-2.*pi - zusn(iusn+iext+i, j+1)=zdata(i, j) - xusn(iusn+iext+i)=xdata(i)+2.*pi + DO i = 1, iext + zusn(i, j + 1) = zdata(iusn - iext + i, j) + xusn(i) = xdata(iusn - iext + i) - 2. * pi + zusn(iusn + iext + i, j + 1) = zdata(i, j) + xusn(iusn + iext + i) = xdata(i) + 2. * pi ENDDO ENDDO - yusn(1)=ydata(1)+(ydata(1)-ydata(2)) - yusn(jusn+2)=ydata(jusn)+(ydata(jusn)-ydata(jusn-1)) - DO i=1, iusn/2+iext - zusn(i, 1)=zusn(i+iusn/2, 2) - zusn(i+iusn/2+iext, 1)=zusn(i, 2) - zusn(i, jusn+2)=zusn(i+iusn/2, jusn+1) - zusn(i+iusn/2+iext, jusn+2)=zusn(i, jusn+1) + yusn(1) = ydata(1) + (ydata(1) - ydata(2)) + yusn(jusn + 2) = ydata(jusn) + (ydata(jusn) - ydata(jusn - 1)) + DO i = 1, iusn / 2 + iext + zusn(i, 1) = zusn(i + iusn / 2, 2) + zusn(i + iusn / 2 + iext, 1) = zusn(i, 2) + zusn(i, jusn + 2) = zusn(i + iusn / 2, jusn + 1) + zusn(i + iusn / 2 + iext, jusn + 2) = zusn(i, jusn + 1) ENDDO - ! COMPUTE LIMITS OF MODEL GRIDPOINT AREA - ! ( REGULAR GRID) + ! Compute limits of model gridpoint area (regular grid) - a(1) = x(1) - (x(2)-x(1))/2.0 - b(1) = (x(1)+x(2))/2.0 + a(1) = x(1) - (x(2) - x(1)) / 2.0 + b(1) = (x(1) + x(2)) / 2.0 DO i = 2, iim - a(i) = b(i-1) - b(i) = (x(i)+x(i+1))/2.0 + a(i) = b(i - 1) + b(i) = (x(i) + x(i + 1)) / 2.0 ENDDO - a(iim+1) = b(iim) - b(iim+1) = x(iim+1) + (x(iim+1)-x(iim))/2.0 + a(iim + 1) = b(iim) + b(iim + 1) = x(iim + 1) + (x(iim + 1) - x(iim)) / 2.0 - c(1) = y(1) - (y(2)-y(1))/2.0 - d(1) = (y(1)+y(2))/2.0 + c(1) = y(1) - (y(2) - y(1)) / 2.0 + d(1) = (y(1) + y(2)) / 2.0 DO j = 2, jjm - c(j) = d(j-1) - d(j) = (y(j)+y(j+1))/2.0 + c(j) = d(j - 1) + d(j) = (y(j) + y(j + 1)) / 2.0 ENDDO c(jjm + 1) = d(jjm) - 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 ! Initialisations : - weight(:, :) = 0. - zxtzx(:, :) = 0. - zytzy(:, :) = 0. - zxtzy(:, :) = 0. - ztz(:, :) = 0. - zmea(:, :) = 0. - zpic(:, :) =-1.E+10 - zval(:, :) = 1.E+10 - - ! COMPUTE SLOPES CORRELATIONS ON USN GRID - - zytzyusn(:, :)=0. - zxtzxusn(:, :)=0. - zxtzyusn(:, :)=0. - - DO j = 2, jusn+1 - zdeltax=zdeltay*cos(yusn(j)) - DO i = 2, iusn+2*iext-1 - zytzyusn(i, j)=(zusn(i, j+1)-zusn(i, j-1))**2/zdeltay**2 - zxtzxusn(i, j)=(zusn(i+1, j)-zusn(i-1, j))**2/zdeltax**2 - zxtzyusn(i, j)=(zusn(i, j+1)-zusn(i, j-1))/zdeltay & - *(zusn(i+1, j)-zusn(i-1, j))/zdeltax + weight = 0. + zxtzx = 0. + zytzy = 0. + zxtzy = 0. + ztz = 0. + zmea = 0. + zpic = - 1E10 + zval = 1E10 + + ! Compute slopes correlations on US Navy grid + + zytzyusn = 0. + zxtzxusn = 0. + zxtzyusn = 0. + + DO j = 2, jusn + 1 + zdeltax = zdeltay * cos(yusn(j)) + DO i = 2, iusn + 2 * iext - 1 + zytzyusn(i, j) = (zusn(i, j + 1) - zusn(i, j - 1))**2 / zdeltay**2 + zxtzxusn(i, j) = (zusn(i + 1, j) - zusn(i - 1, j))**2 / zdeltax**2 + zxtzyusn(i, j) = (zusn(i, j + 1) - zusn(i, j - 1)) / zdeltay & + * (zusn(i + 1, j) - zusn(i - 1, j)) / zdeltax ENDDO ENDDO - ! SUMMATION OVER GRIDPOINT AREA + ! Summation over gridpoint area - zleny=pi/real(jusn)*rad - xincr=pi/2./real(jusn) - DO ii = 1, iim+1 + zleny = pi / real(jusn) * rad + xincr = pi / 2. / real(jusn) + DO ii = 1, iim + 1 DO jj = 1, jjm + 1 - num_tot(ii, jj)=0. - num_lan(ii, jj)=0. - DO j = 2, jusn+1 - zlenx=zleny*cos(yusn(j)) - zdeltax=zdeltay*cos(yusn(j)) - zbordnor=(c(jj)-yusn(j)+xincr)*rad - zbordsud=(yusn(j)-d(jj)+xincr)*rad - weighy=AMAX1(0., amin1(zbordnor, zbordsud, zleny)) + num_tot(ii, jj) = 0. + num_lan(ii, jj) = 0. + DO j = 2, jusn + 1 + zlenx = zleny * cos(yusn(j)) + zdeltax = zdeltay * cos(yusn(j)) + zbordnor = (c(jj) - yusn(j) + xincr) * rad + zbordsud = (yusn(j) - d(jj) + xincr) * rad + weighy = MAX(0., min(zbordnor, zbordsud, zleny)) IF (weighy /= 0) THEN - DO i = 2, iusn+2*iext-1 - zbordest=(xusn(i)-a(ii)+xincr)*rad*cos(yusn(j)) - zbordoue=(b(ii)+xincr-xusn(i))*rad*cos(yusn(j)) - weighx=AMAX1(0., amin1(zbordest, zbordoue, zlenx)) + DO i = 2, iusn + 2 * iext - 1 + zbordest = (xusn(i) - a(ii) + xincr) * rad * cos(yusn(j)) + zbordoue = (b(ii) + xincr - xusn(i)) * rad * cos(yusn(j)) + weighx = MAX(0., min(zbordest, zbordoue, zlenx)) IF (weighx /= 0) THEN num_tot(ii, jj) = num_tot(ii, jj) + 1. if (zusn(i, j) >= 1.) then num_lan(ii, jj) = num_lan(ii, jj) + 1. end if weight(ii, jj) = weight(ii, jj) + weighx * weighy - zxtzx(ii, jj)=zxtzx(ii, jj)+zxtzxusn(i, j)*weighx*weighy - zytzy(ii, jj)=zytzy(ii, jj)+zytzyusn(i, j)*weighx*weighy - zxtzy(ii, jj)=zxtzy(ii, jj)+zxtzyusn(i, j)*weighx*weighy + zxtzx(ii, jj) = zxtzx(ii, jj) & + + zxtzxusn(i, j) * weighx * weighy + zytzy(ii, jj) = zytzy(ii, jj) & + + zytzyusn(i, j) * weighx * weighy + zxtzy(ii, jj) = zxtzy(ii, jj) & + + zxtzyusn(i, j) * weighx * weighy ztz(ii, jj) = ztz(ii, jj) & + zusn(i, j) * zusn(i, j) * weighx * weighy ! mean - zmea(ii, jj) =zmea(ii, jj)+zusn(i, j)*weighx*weighy + zmea(ii, jj) = zmea(ii, jj) + zusn(i, j) * weighx * weighy ! peacks - zpic(ii, jj)=amax1(zpic(ii, jj), zusn(i, j)) + zpic(ii, jj) = max(zpic(ii, jj), zusn(i, j)) ! valleys - zval(ii, jj)=amin1(zval(ii, jj), zusn(i, j)) + zval(ii, jj) = min(zval(ii, jj), zusn(i, j)) ENDIF ENDDO ENDIF @@ -230,48 +215,50 @@ ENDDO ENDDO - if (any(weight == 0.)) stop "zero weight in grid_noro" + if (any(weight == 0.)) then + print *, "zero weight in grid_noro" + stop 1 + end if - ! COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND - ! LOTT (1999) SSO SCHEME. + ! Compute parameters needed by the Lott & Miller (1997) and Lott + ! (1999) subgrid-scale orographic scheme. - zllmmea=0. - zllmstd=0. - zllmsig=0. - zllmgam=0. - zllmpic=0. - zllmval=0. - zllmthe=0. - zminthe=0. - DO ii = 1, iim+1 + DO ii = 1, iim + 1 DO jj = 1, jjm + 1 - mask(ii, jj) = num_lan(ii, jj)/num_tot(ii, jj) - ! Mean Orography: - zmea (ii, jj)=zmea (ii, jj)/weight(ii, jj) - zxtzx(ii, jj)=zxtzx(ii, jj)/weight(ii, jj) - zytzy(ii, jj)=zytzy(ii, jj)/weight(ii, jj) - zxtzy(ii, jj)=zxtzy(ii, jj)/weight(ii, jj) - ztz(ii, jj) =ztz(ii, jj)/weight(ii, jj) - ! Standard deviation: - zstd(ii, jj)=sqrt(MAX(0., ztz(ii, jj) - zmea(ii, jj)**2)) + mask(ii, jj) = num_lan(ii, jj) / num_tot(ii, jj) + ! Mean orography: + zmea (ii, jj) = zmea (ii, jj) / weight(ii, jj) + zxtzx(ii, jj) = zxtzx(ii, jj) / weight(ii, jj) + zytzy(ii, jj) = zytzy(ii, jj) / weight(ii, jj) + zxtzy(ii, jj) = zxtzy(ii, jj) / weight(ii, jj) + ztz(ii, jj) = ztz(ii, jj) / weight(ii, jj) + ! Standard deviation: + zstd(ii, jj) = sqrt(MAX(0., ztz(ii, jj) - zmea(ii, jj)**2)) ENDDO ENDDO - ! CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: - - DO ii = 1, iim+1 - zxtzx(ii, 1)=zxtzx(ii, 2) - zxtzx(ii, jjm + 1)=zxtzx(ii, jjm) - zxtzy(ii, 1)=zxtzy(ii, 2) - zxtzy(ii, jjm + 1)=zxtzy(ii, jjm) - zytzy(ii, 1)=zytzy(ii, 2) - zytzy(ii, jjm + 1)=zytzy(ii, jjm) + ! Correct values of horizontal slope near the poles: + DO ii = 1, iim + 1 + zxtzx(ii, 1) = zxtzx(ii, 2) + zxtzx(ii, jjm + 1) = zxtzx(ii, jjm) + zxtzy(ii, 1) = zxtzy(ii, 2) + zxtzy(ii, jjm + 1) = zxtzy(ii, jjm) + zytzy(ii, 1) = zytzy(ii, 2) + zytzy(ii, jjm + 1) = zytzy(ii, jjm) ENDDO - ! FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME. + ! Masque prenant en compte maximum de terre. On met un seuil \`a 10 + ! % de terre car en dessous les param\`etres de surface n'ont pas de + ! sens. + mask_tmp = merge(1., 0., mask >= 0.1) + + zphi(:iim, :) = zmea(:iim, :) * mask_tmp(:iim, :) + ! (zmea is not yet smoothed) - ! FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. + ! Filters to smooth out fields for input into subgrid-scale + ! orographic scheme. + ! First filter, moving average over 9 points. CALL MVA9(zmea) CALL MVA9(zstd) CALL MVA9(zpic) @@ -280,117 +267,83 @@ CALL MVA9(zxtzy) CALL MVA9(zytzy) - ! Masque prenant en compte maximum de terre - ! On seuil a 10% de terre de terre car en dessous les parametres - ! de surface n'ont pas de sens (PB) - mask_tmp= 0. - WHERE (mask >= 0.1) mask_tmp = 1. - DO ii = 1, iim DO jj = 1, jjm + 1 - IF (weight(ii, jj) /= 0.) THEN - ! Coefficients K, L et M: - xk=(zxtzx(ii, jj)+zytzy(ii, jj))/2. - xl=(zxtzx(ii, jj)-zytzy(ii, jj))/2. - xm=zxtzy(ii, jj) - xp=xk-sqrt(xl**2+xm**2) - xq=xk+sqrt(xl**2+xm**2) - xw=1.e-8 - if(xp.le.xw) xp=0. - if(xq.le.xw) xq=xw - if(abs(xm).le.xw) xm=xw*sign(1., xm) - !$$* PB modif pour maque de terre fractionnaire - ! slope: - zsig(ii, jj)=sqrt(xq)*mask_tmp(ii, jj) - ! isotropy: - zgam(ii, jj)=xp/xq*mask_tmp(ii, jj) - ! angle theta: - zthe(ii, jj)=57.29577951*atan2(xm, xl)/2.*mask_tmp(ii, jj) - zphi(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) - zmea(ii, jj)=zmea(ii, jj)*mask_tmp(ii, jj) - zpic(ii, jj)=zpic(ii, jj)*mask_tmp(ii, jj) - zval(ii, jj)=zval(ii, jj)*mask_tmp(ii, jj) - zstd(ii, jj)=zstd(ii, jj)*mask_tmp(ii, jj) - ENDIF - zllmmea=AMAX1(zmea(ii, jj), zllmmea) - zllmstd=AMAX1(zstd(ii, jj), zllmstd) - zllmsig=AMAX1(zsig(ii, jj), zllmsig) - zllmgam=AMAX1(zgam(ii, jj), zllmgam) - zllmthe=AMAX1(zthe(ii, jj), zllmthe) - zminthe=amin1(zthe(ii, jj), zminthe) - zllmpic=AMAX1(zpic(ii, jj), zllmpic) - zllmval=AMAX1(zval(ii, jj), zllmval) + ! Coefficients K, L et M: + xk = (zxtzx(ii, jj) + zytzy(ii, jj)) / 2. + xl = (zxtzx(ii, jj) - zytzy(ii, jj)) / 2. + xm = zxtzy(ii, jj) + xp = xk - sqrt(xl**2 + xm**2) + xq = xk + sqrt(xl**2 + xm**2) + xw = 1e-8 + if (xp <= xw) xp = 0. + if (xq <= xw) xq = xw + if (abs(xm) <= xw) xm = xw * sign(1., xm) + ! modification pour masque de terre fractionnaire + ! slope: + zsig(ii, jj) = sqrt(xq) * mask_tmp(ii, jj) + ! isotropy: + zgam(ii, jj) = xp / xq * mask_tmp(ii, jj) + ! angle theta: + zthe(ii, jj) = 57.29577951 * atan2(xm, xl) / 2. * mask_tmp(ii, jj) ENDDO ENDDO - print *, 'MEAN ORO: ', zllmmea - print *, 'ST. DEV.: ', zllmstd - print *, 'PENTE: ', zllmsig - print *, 'ANISOTROP: ', zllmgam - print *, 'ANGLE: ', zminthe, zllmthe - print *, 'pic: ', zllmpic - print *, 'val: ', zllmval - - ! gamma and theta a 1. and 0. at poles - zmea(iim+1, :)=zmea(1, :) - zphi(iim+1, :)=zphi(1, :) - zpic(iim+1, :)=zpic(1, :) - zval(iim+1, :)=zval(1, :) - zstd(iim+1, :)=zstd(1, :) - zsig(iim+1, :)=zsig(1, :) - zgam(iim+1, :)=zgam(1, :) - zthe(iim+1, :)=zthe(1, :) - - zmeanor=0. - zmeasud=0. - zstdnor=0. - zstdsud=0. - zsignor=0. - zsigsud=0. - zweinor=0. - zweisud=0. - zpicnor=0. - zpicsud=0. - zvalnor=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 - - zval(:, 1)=zvalnor/zweinor - zval(:, jjm + 1)=zvalsud/zweisud - - zstd(:, 1)=zstdnor/zweinor - zstd(:, jjm + 1)=zstdsud/zweisud - zsig(:, 1)=zsignor/zweinor - zsig(:, jjm + 1)=zsigsud/zweisud + zmea(:iim, :) = zmea(:iim, :) * mask_tmp(:iim, :) + zpic(:iim, :) = zpic(:iim, :) * mask_tmp(:iim, :) + zval(:iim, :) = zval(:iim, :) * mask_tmp(:iim, :) + zstd(:iim, :) = zstd(:iim, :) * mask_tmp(:iim, :) + + print *, 'MEAN ORO: ', MAXVAL(zmea(:iim, :)) + print *, 'ST. DEV.: ', MAXVAL(zstd(:iim, :)) + print *, 'PENTE: ', MAXVAL(zsig(:iim, :)) + print *, 'ANISOTROP: ', MAXVAL(zgam(:iim, :)) + print *, 'ANGLE: ', minval(zthe(:iim, :)), MAXVAL(zthe(:iim, :)) + print *, 'pic: ', MAXVAL(zpic(:iim, :)) + print *, 'val: ', MAXVAL(zval(:iim, :)) + + ! gamma and theta at 1. and 0. at poles + zmea(iim + 1, :) = zmea(1, :) + zphi(iim + 1, :) = zphi(1, :) + zpic(iim + 1, :) = zpic(1, :) + zval(iim + 1, :) = zval(1, :) + zstd(iim + 1, :) = zstd(1, :) + zsig(iim + 1, :) = zsig(1, :) + zgam(iim + 1, :) = zgam(1, :) + zthe(iim + 1, :) = zthe(1, :) + + zweinor = sum(weight(:iim, 1)) + zweisud = sum(weight(:iim, jjm + 1)) + zmeanor = sum(zmea(:iim, 1) * weight(:iim, 1)) + zmeasud = sum(zmea(:iim, jjm + 1) * weight(:iim, jjm + 1)) + + zmea(:, 1) = zmeanor / zweinor + zmea(:, jjm + 1) = zmeasud / zweisud + + zphi(:, 1) = zmeanor / zweinor + zphi(:, jjm + 1) = zmeasud / zweisud + + zpic(:, 1) = sum(zpic(:iim, 1) * weight(:iim, 1)) / zweinor + zpic(:, jjm + 1) = sum(zpic(:iim, jjm + 1) * weight(:iim, jjm + 1)) & + / zweisud + + zval(:, 1) = sum(zval(:iim, 1) * weight(:iim, 1)) / zweinor + zval(:, jjm + 1) = sum(zval(:iim, jjm + 1) * weight(:iim, jjm + 1)) & + / zweisud + + zstd(:, 1) = sum(zstd(:iim, 1) * weight(:iim, 1)) / zweinor + zstd(:, jjm + 1) = sum(zstd(:iim, jjm + 1) * weight(:iim, jjm + 1)) & + / zweisud + + zsig(:, 1) = sum(zsig(:iim, 1) * weight(:iim, 1)) / zweinor + zsig(:, jjm + 1) = sum(zsig(:iim, jjm + 1) * weight(:iim, jjm + 1)) & + / zweisud - zgam(:, 1)=1. - zgam(:, jjm + 1)=1. + zgam(:, 1) = 1. + zgam(:, jjm + 1) = 1. - zthe(:, 1)=0. - zthe(:, jjm + 1)=0. + zthe(:, 1) = 0. + zthe(:, jjm + 1) = 0. END SUBROUTINE grid_noro