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subroutine aaam_bud (iam,nlon,nlev,rsec, |
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i rea,rg,ome, |
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i plat,plon,phis, |
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i dragu,liftu,phyu, |
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i dragv,liftv,phyv, |
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i p, u, v, |
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o aam, torsfc) |
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c |
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use dimens_m |
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use dimphy |
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implicit none |
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c====================================================================== |
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c Auteur(s): F.Lott (LMD/CNRS) date: 20031020 |
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c Object: Compute different terms of the axial AAAM Budget. |
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C No outputs, every AAM quantities are written on the IAM |
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C File. |
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c |
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c Modif : I.Musat (LMD/CNRS) date : 20041020 |
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c Outputs : axial components of wind AAM "aam" and total surface torque |
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C "torsfc", |
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c but no write in the iam file. |
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c |
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C WARNING: Only valid for regular rectangular grids. |
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C REMARK: CALL DANS PHYSIQ AFTER lift_noro: |
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C CALL aaam_bud (27,klon,klev, gmtime, |
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C C ra,rg,romega, |
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C C rlat,rlon,pphis, |
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C C zustrdr,zustrli,zustrph, |
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C C zvstrdr,zvstrli,zvstrph, |
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C C paprs,u,v) |
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C |
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C====================================================================== |
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c Explicit Arguments: |
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c ================== |
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c iam-----input-I-File number where AAMs and torques are written |
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c It is a formatted file that has been opened |
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c in physiq.F |
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c nlon----input-I-Total number of horizontal points that get into physics |
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c nlev----input-I-Number of vertical levels |
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c rsec----input-R-Seconde de la journee |
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c rea-----input-R-Earth radius |
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c rg------input-R-gravity constant |
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c ome-----input-R-Earth rotation rate |
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c plat ---input-R-Latitude en degres |
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c plon ---input-R-Longitude en degres |
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c phis ---input-R-Geopotential at the ground |
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c dragu---input-R-orodrag stress (zonal) |
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c liftu---input-R-orolift stress (zonal) |
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c phyu----input-R-Stress total de la physique (zonal) |
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c dragv---input-R-orodrag stress (Meridional) |
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c liftv---input-R-orolift stress (Meridional) |
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c phyv----input-R-Stress total de la physique (Meridional) |
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c p-------input-R-Pressure (Pa) at model half levels |
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c u-------input-R-Horizontal wind (m/s) |
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c v-------input-R-Meridional wind (m/s) |
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c aam-----output-R-Axial Wind AAM (=raam(3)) |
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c torsfc--output-R-Total surface torque (=tmou(3)+tsso(3)+tbls(3)) |
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c |
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c Implicit Arguments: |
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c =================== |
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c |
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c iim--common-I: Number of longitude intervals |
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c jjm--common-I: Number of latitude intervals |
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c klon-common-I: Number of points seen by the physics |
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c iim*(jjm-1)+2 for instance |
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c klev-common-I: Number of vertical layers |
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c====================================================================== |
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c Local Variables: |
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c ================ |
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c dlat-----R: Latitude increment (Radians) |
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c dlon-----R: Longitude increment (Radians) |
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c raam ---R: Wind AAM (3 Components, 1 & 2 Equatoriales; 3 Axiale) |
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c oaam ---R: Mass AAM (3 Components, 1 & 2 Equatoriales; 3 Axiale) |
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c tmou-----R: Resolved Mountain torque (3 components) |
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c tsso-----R: Parameterised Moutain drag torque (3 components) |
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c tbls-----R: Parameterised Boundary layer torque (3 components) |
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c |
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c LOCAL ARRAY: |
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c =========== |
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c zs ---R: Topographic height |
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c ps ---R: Surface Pressure |
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c ub ---R: Barotropic wind zonal |
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c vb ---R: Barotropic wind meridional |
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c zlat ---R: Latitude in radians |
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c zlon ---R: Longitude in radians |
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c====================================================================== |
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|
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c |
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c ARGUMENTS |
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c |
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INTEGER iam,nlon,nlev |
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real, intent(in):: rsec |
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real rea |
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real, intent(in):: rg |
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real ome |
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REAL, intent(in):: plat(nlon),plon(nlon) |
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real phis(nlon) |
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REAL dragu(nlon),liftu(nlon),phyu(nlon) |
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REAL dragv(nlon),liftv(nlon),phyv(nlon) |
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REAL, intent(in):: p(nlon,nlev+1) |
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real u(nlon,nlev), v(nlon,nlev) |
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c |
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c Variables locales: |
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c |
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INTEGER i,j,k,l |
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REAL xpi,hadley,hadday |
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REAL dlat,dlon |
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REAL raam(3),oaam(3),tmou(3),tsso(3),tbls(3) |
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integer iax |
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cIM ajout aam, torsfc |
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c aam = composante axiale du Wind AAM raam |
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c torsfc = composante axiale de (tmou+tsso+tbls) |
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REAL aam, torsfc |
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|
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REAL ZS(801,401),PS(801,401) |
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REAL UB(801,401),VB(801,401) |
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REAL SSOU(801,401),SSOV(801,401) |
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REAL BLSU(801,401),BLSV(801,401) |
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REAL ZLON(801),ZLAT(401) |
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C |
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C PUT AAM QUANTITIES AT ZERO: |
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C |
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if(iim+1.gt.801.or.jjm+1.gt.401)then |
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print *,' Pb de dimension dans aaam_bud' |
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stop |
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endif |
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|
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xpi=acos(-1.) |
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hadley=1.e18 |
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hadday=1.e18*24.*3600. |
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dlat=xpi/float(jjm) |
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dlon=2.*xpi/float(iim) |
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|
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do iax=1,3 |
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oaam(iax)=0. |
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raam(iax)=0. |
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tmou(iax)=0. |
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tsso(iax)=0. |
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tbls(iax)=0. |
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enddo |
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|
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C MOUNTAIN HEIGHT, PRESSURE AND BAROTROPIC WIND: |
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|
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C North pole values (j=1): |
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|
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l=1 |
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|
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ub(1,1)=0. |
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vb(1,1)=0. |
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do k=1,nlev |
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ub(1,1)=ub(1,1)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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vb(1,1)=vb(1,1)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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enddo |
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|
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zlat(1)=plat(l)*xpi/180. |
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|
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do i=1,iim+1 |
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|
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zs(i,1)=phis(l)/rg |
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ps(i,1)=p(l,1) |
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ub(i,1)=ub(1,1) |
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vb(i,1)=vb(1,1) |
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ssou(i,1)=dragu(l)+liftu(l) |
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ssov(i,1)=dragv(l)+liftv(l) |
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blsu(i,1)=phyu(l)-dragu(l)-liftu(l) |
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blsv(i,1)=phyv(l)-dragv(l)-liftv(l) |
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|
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enddo |
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|
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|
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do j = 2,jjm |
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|
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C Values at Greenwich (Periodicity) |
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|
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zs(iim+1,j)=phis(l+1)/rg |
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ps(iim+1,j)=p(l+1,1) |
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ssou(iim+1,j)=dragu(l+1)+liftu(l+1) |
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ssov(iim+1,j)=dragv(l+1)+liftv(l+1) |
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blsu(iim+1,j)=phyu(l+1)-dragu(l+1)-liftu(l+1) |
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blsv(iim+1,j)=phyv(l+1)-dragv(l+1)-liftv(l+1) |
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zlon(iim+1)=-plon(l+1)*xpi/180. |
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zlat(j)=plat(l+1)*xpi/180. |
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|
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ub(iim+1,j)=0. |
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vb(iim+1,j)=0. |
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do k=1,nlev |
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ub(iim+1,j)=ub(iim+1,j)+u(l+1,k)*(p(l+1,k)-p(l+1,k+1))/rg |
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vb(iim+1,j)=vb(iim+1,j)+v(l+1,k)*(p(l+1,k)-p(l+1,k+1))/rg |
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enddo |
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|
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|
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do i=1,iim |
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|
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l=l+1 |
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zs(i,j)=phis(l)/rg |
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ps(i,j)=p(l,1) |
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ssou(i,j)=dragu(l)+liftu(l) |
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ssov(i,j)=dragv(l)+liftv(l) |
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blsu(i,j)=phyu(l)-dragu(l)-liftu(l) |
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blsv(i,j)=phyv(l)-dragv(l)-liftv(l) |
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zlon(i)=plon(l)*xpi/180. |
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|
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ub(i,j)=0. |
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vb(i,j)=0. |
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do k=1,nlev |
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ub(i,j)=ub(i,j)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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vb(i,j)=vb(i,j)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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enddo |
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|
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enddo |
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|
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enddo |
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|
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|
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C South Pole |
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|
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l=l+1 |
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ub(1,jjm+1)=0. |
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vb(1,jjm+1)=0. |
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do k=1,nlev |
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ub(1,jjm+1)=ub(1,jjm+1)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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vb(1,jjm+1)=vb(1,jjm+1)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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enddo |
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zlat(jjm+1)=plat(l)*xpi/180. |
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|
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do i=1,iim+1 |
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zs(i,jjm+1)=phis(l)/rg |
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ps(i,jjm+1)=p(l,1) |
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ssou(i,jjm+1)=dragu(l)+liftu(l) |
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ssov(i,jjm+1)=dragv(l)+liftv(l) |
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blsu(i,jjm+1)=phyu(l)-dragu(l)-liftu(l) |
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blsv(i,jjm+1)=phyv(l)-dragv(l)-liftv(l) |
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ub(i,jjm+1)=ub(1,jjm+1) |
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vb(i,jjm+1)=vb(1,jjm+1) |
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enddo |
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|
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C |
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C MOMENT ANGULAIRE |
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C |
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DO j=1,jjm |
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DO i=1,iim |
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|
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raam(1)=raam(1)-rea**3*dlon*dlat*0.5* |
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c (cos(zlon(i ))*sin(zlat(j ))*cos(zlat(j ))*ub(i ,j ) |
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c +cos(zlon(i ))*sin(zlat(j+1))*cos(zlat(j+1))*ub(i ,j+1)) |
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c +rea**3*dlon*dlat*0.5* |
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c (sin(zlon(i ))*cos(zlat(j ))*vb(i ,j ) |
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c +sin(zlon(i ))*cos(zlat(j+1))*vb(i ,j+1)) |
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|
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oaam(1)=oaam(1)-ome*rea**4*dlon*dlat/rg*0.5* |
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c (cos(zlon(i ))*cos(zlat(j ))**2*sin(zlat(j ))*ps(i ,j ) |
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c +cos(zlon(i ))*cos(zlat(j+1))**2*sin(zlat(j+1))*ps(i ,j+1)) |
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|
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raam(2)=raam(2)-rea**3*dlon*dlat*0.5* |
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c (sin(zlon(i ))*sin(zlat(j ))*cos(zlat(j ))*ub(i ,j ) |
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c +sin(zlon(i ))*sin(zlat(j+1))*cos(zlat(j+1))*ub(i ,j+1)) |
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c -rea**3*dlon*dlat*0.5* |
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c (cos(zlon(i ))*cos(zlat(j ))*vb(i ,j ) |
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c +cos(zlon(i ))*cos(zlat(j+1))*vb(i ,j+1)) |
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|
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oaam(2)=oaam(2)-ome*rea**4*dlon*dlat/rg*0.5* |
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c (sin(zlon(i ))*cos(zlat(j ))**2*sin(zlat(j ))*ps(i ,j ) |
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c +sin(zlon(i ))*cos(zlat(j+1))**2*sin(zlat(j+1))*ps(i ,j+1)) |
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|
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raam(3)=raam(3)+rea**3*dlon*dlat*0.5* |
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c (cos(zlat(j))**2*ub(i,j)+cos(zlat(j+1))**2*ub(i,j+1)) |
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|
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oaam(3)=oaam(3)+ome*rea**4*dlon*dlat/rg*0.5* |
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c (cos(zlat(j))**3*ps(i,j)+cos(zlat(j+1))**3*ps(i,j+1)) |
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|
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ENDDO |
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ENDDO |
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|
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C |
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C COUPLE DES MONTAGNES: |
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C |
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|
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DO j=1,jjm |
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DO i=1,iim |
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tmou(1)=tmou(1)-rea**2*dlon*0.5*sin(zlon(i)) |
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c *(zs(i,j)-zs(i,j+1)) |
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c *(cos(zlat(j+1))*ps(i,j+1)+cos(zlat(j))*ps(i,j)) |
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tmou(2)=tmou(2)+rea**2*dlon*0.5*cos(zlon(i)) |
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c *(zs(i,j)-zs(i,j+1)) |
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c *(cos(zlat(j+1))*ps(i,j+1)+cos(zlat(j))*ps(i,j)) |
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ENDDO |
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ENDDO |
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|
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DO j=2,jjm |
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DO i=1,iim |
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tmou(1)=tmou(1)+rea**2*dlat*0.5*sin(zlat(j)) |
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c *(zs(i+1,j)-zs(i,j)) |
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c *(cos(zlon(i+1))*ps(i+1,j)+cos(zlon(i))*ps(i,j)) |
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tmou(2)=tmou(2)+rea**2*dlat*0.5*sin(zlat(j)) |
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c *(zs(i+1,j)-zs(i,j)) |
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c *(sin(zlon(i+1))*ps(i+1,j)+sin(zlon(i))*ps(i,j)) |
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tmou(3)=tmou(3)-rea**2*dlat*0.5* |
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c cos(zlat(j))*(zs(i+1,j)-zs(i,j))*(ps(i+1,j)+ps(i,j)) |
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ENDDO |
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ENDDO |
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|
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C |
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C COUPLES DES DIFFERENTES FRICTION AU SOL: |
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C |
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l=1 |
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DO j=2,jjm |
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DO i=1,iim |
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l=l+1 |
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tsso(1)=tsso(1)-rea**3*cos(zlat(j))*dlon*dlat* |
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c ssou(i,j) *sin(zlat(j))*cos(zlon(i)) |
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c +rea**3*cos(zlat(j))*dlon*dlat* |
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c ssov(i,j) *sin(zlon(i)) |
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|
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tsso(2)=tsso(2)-rea**3*cos(zlat(j))*dlon*dlat* |
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c ssou(i,j) *sin(zlat(j))*sin(zlon(i)) |
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c -rea**3*cos(zlat(j))*dlon*dlat* |
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c ssov(i,j) *cos(zlon(i)) |
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|
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tsso(3)=tsso(3)+rea**3*cos(zlat(j))*dlon*dlat* |
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c ssou(i,j) *cos(zlat(j)) |
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|
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tbls(1)=tbls(1)-rea**3*cos(zlat(j))*dlon*dlat* |
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c blsu(i,j) *sin(zlat(j))*cos(zlon(i)) |
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c +rea**3*cos(zlat(j))*dlon*dlat* |
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c blsv(i,j) *sin(zlon(i)) |
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|
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tbls(2)=tbls(2)-rea**3*cos(zlat(j))*dlon*dlat* |
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c blsu(i,j) *sin(zlat(j))*sin(zlon(i)) |
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c -rea**3*cos(zlat(j))*dlon*dlat* |
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c blsv(i,j) *cos(zlon(i)) |
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|
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tbls(3)=tbls(3)+rea**3*cos(zlat(j))*dlon*dlat* |
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c blsu(i,j) *cos(zlat(j)) |
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|
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ENDDO |
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ENDDO |
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|
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|
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100 format(F12.5,15(1x,F12.5)) |
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|
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aam=raam(3) |
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torsfc= tmou(3)+tsso(3)+tbls(3) |
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c |
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RETURN |
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END |