subroutine aaam_bud (iam,nlon,nlev,rjour,rsec, i rea,rg,ome, i plat,plon,phis, i dragu,liftu,phyu, i dragv,liftv,phyv, i p, u, v, o aam, torsfc) c implicit none c====================================================================== c Auteur(s): F.Lott (LMD/CNRS) date: 20031020 c Object: Compute different terms of the axial AAAM Budget. C No outputs, every AAM quantities are written on the IAM C File. c c Modif : I.Musat (LMD/CNRS) date : 20041020 c Outputs : axial components of wind AAM "aam" and total surface torque "torsfc", c but no write in the iam file. c C WARNING: Only valid for regular rectangular grids. C REMARK: CALL DANS PHYSIQ AFTER lift_noro: C CALL aaam_bud (27,klon,klev,rjourvrai,gmtime, C C ra,rg,romega, C C rlat,rlon,pphis, C C zustrdr,zustrli,zustrph, C C zvstrdr,zvstrli,zvstrph, C C paprs,u,v) C C====================================================================== c Explicit Arguments: c ================== c iam-----input-I-File number where AAMs and torques are written c It is a formatted file that has been opened c in physiq.F c nlon----input-I-Total number of horizontal points that get into physics c nlev----input-I-Number of vertical levels c rjour---input-R-Jour compte depuis le debut de la simu (run.def) c rsec----input-R-Seconde de la journee c rea-----input-R-Earth radius c rg------input-R-gravity constant c ome-----input-R-Earth rotation rate c plat ---input-R-Latitude en degres c plon ---input-R-Longitude en degres c phis ---input-R-Geopotential at the ground c dragu---input-R-orodrag stress (zonal) c liftu---input-R-orolift stress (zonal) c phyu----input-R-Stress total de la physique (zonal) c dragv---input-R-orodrag stress (Meridional) c liftv---input-R-orolift stress (Meridional) c phyv----input-R-Stress total de la physique (Meridional) c p-------input-R-Pressure (Pa) at model half levels c u-------input-R-Horizontal wind (m/s) c v-------input-R-Meridional wind (m/s) c aam-----output-R-Axial Wind AAM (=raam(3)) c torsfc--output-R-Total surface torque (=tmou(3)+tsso(3)+tbls(3)) c c Implicit Arguments: c =================== c c iim--common-I: Number of longitude intervals c jjm--common-I: Number of latitude intervals c klon-common-I: Number of points seen by the physics c iim*(jjm-1)+2 for instance c klev-common-I: Number of vertical layers c====================================================================== c Local Variables: c ================ c dlat-----R: Latitude increment (Radians) c dlon-----R: Longitude increment (Radians) c raam ---R: Wind AAM (3 Components, 1 & 2 Equatoriales; 3 Axiale) c oaam ---R: Mass AAM (3 Components, 1 & 2 Equatoriales; 3 Axiale) c tmou-----R: Resolved Mountain torque (3 components) c tsso-----R: Parameterised Moutain drag torque (3 components) c tbls-----R: Parameterised Boundary layer torque (3 components) c c LOCAL ARRAY: c =========== c zs ---R: Topographic height c ps ---R: Surface Pressure c ub ---R: Barotropic wind zonal c vb ---R: Barotropic wind meridional c zlat ---R: Latitude in radians c zlon ---R: Longitude in radians c====================================================================== #include "dimensions.h" #include "dimphy.h" c c ARGUMENTS c INTEGER iam,nlon,nlev REAL rjour,rsec,rea,rg,ome REAL plat(nlon),plon(nlon),phis(nlon) REAL dragu(nlon),liftu(nlon),phyu(nlon) REAL dragv(nlon),liftv(nlon),phyv(nlon) REAL p(nlon,nlev+1), u(nlon,nlev), v(nlon,nlev) c c Variables locales: c INTEGER i,j,k,l REAL xpi,hadley,hadday REAL dlat,dlon REAL raam(3),oaam(3),tmou(3),tsso(3),tbls(3) integer iax cIM ajout aam, torsfc c aam = composante axiale du Wind AAM raam c torsfc = composante axiale de (tmou+tsso+tbls) REAL aam, torsfc REAL ZS(801,401),PS(801,401) REAL UB(801,401),VB(801,401) REAL SSOU(801,401),SSOV(801,401) REAL BLSU(801,401),BLSV(801,401) REAL ZLON(801),ZLAT(401) C C PUT AAM QUANTITIES AT ZERO: C if(iim+1.gt.801.or.jjm+1.gt.401)then print *,' Pb de dimension dans aaam_bud' stop endif xpi=acos(-1.) hadley=1.e18 hadday=1.e18*24.*3600. dlat=xpi/float(jjm) dlon=2.*xpi/float(iim) do iax=1,3 oaam(iax)=0. raam(iax)=0. tmou(iax)=0. tsso(iax)=0. tbls(iax)=0. enddo C MOUNTAIN HEIGHT, PRESSURE AND BAROTROPIC WIND: C North pole values (j=1): l=1 ub(1,1)=0. vb(1,1)=0. do k=1,nlev ub(1,1)=ub(1,1)+u(l,k)*(p(l,k)-p(l,k+1))/rg vb(1,1)=vb(1,1)+v(l,k)*(p(l,k)-p(l,k+1))/rg enddo zlat(1)=plat(l)*xpi/180. do i=1,iim+1 zs(i,1)=phis(l)/rg ps(i,1)=p(l,1) ub(i,1)=ub(1,1) vb(i,1)=vb(1,1) ssou(i,1)=dragu(l)+liftu(l) ssov(i,1)=dragv(l)+liftv(l) blsu(i,1)=phyu(l)-dragu(l)-liftu(l) blsv(i,1)=phyv(l)-dragv(l)-liftv(l) enddo do j = 2,jjm C Values at Greenwich (Periodicity) zs(iim+1,j)=phis(l+1)/rg ps(iim+1,j)=p(l+1,1) ssou(iim+1,j)=dragu(l+1)+liftu(l+1) ssov(iim+1,j)=dragv(l+1)+liftv(l+1) blsu(iim+1,j)=phyu(l+1)-dragu(l+1)-liftu(l+1) blsv(iim+1,j)=phyv(l+1)-dragv(l+1)-liftv(l+1) zlon(iim+1)=-plon(l+1)*xpi/180. zlat(j)=plat(l+1)*xpi/180. ub(iim+1,j)=0. vb(iim+1,j)=0. do k=1,nlev ub(iim+1,j)=ub(iim+1,j)+u(l+1,k)*(p(l+1,k)-p(l+1,k+1))/rg vb(iim+1,j)=vb(iim+1,j)+v(l+1,k)*(p(l+1,k)-p(l+1,k+1))/rg enddo do i=1,iim l=l+1 zs(i,j)=phis(l)/rg ps(i,j)=p(l,1) ssou(i,j)=dragu(l)+liftu(l) ssov(i,j)=dragv(l)+liftv(l) blsu(i,j)=phyu(l)-dragu(l)-liftu(l) blsv(i,j)=phyv(l)-dragv(l)-liftv(l) zlon(i)=plon(l)*xpi/180. ub(i,j)=0. vb(i,j)=0. do k=1,nlev ub(i,j)=ub(i,j)+u(l,k)*(p(l,k)-p(l,k+1))/rg vb(i,j)=vb(i,j)+v(l,k)*(p(l,k)-p(l,k+1))/rg enddo enddo enddo C South Pole l=l+1 ub(1,jjm+1)=0. vb(1,jjm+1)=0. do k=1,nlev ub(1,jjm+1)=ub(1,jjm+1)+u(l,k)*(p(l,k)-p(l,k+1))/rg vb(1,jjm+1)=vb(1,jjm+1)+v(l,k)*(p(l,k)-p(l,k+1))/rg enddo zlat(jjm+1)=plat(l)*xpi/180. do i=1,iim+1 zs(i,jjm+1)=phis(l)/rg ps(i,jjm+1)=p(l,1) ssou(i,jjm+1)=dragu(l)+liftu(l) ssov(i,jjm+1)=dragv(l)+liftv(l) blsu(i,jjm+1)=phyu(l)-dragu(l)-liftu(l) blsv(i,jjm+1)=phyv(l)-dragv(l)-liftv(l) ub(i,jjm+1)=ub(1,jjm+1) vb(i,jjm+1)=vb(1,jjm+1) enddo C C MOMENT ANGULAIRE C DO j=1,jjm DO i=1,iim raam(1)=raam(1)-rea**3*dlon*dlat*0.5* c (cos(zlon(i ))*sin(zlat(j ))*cos(zlat(j ))*ub(i ,j ) c +cos(zlon(i ))*sin(zlat(j+1))*cos(zlat(j+1))*ub(i ,j+1)) c +rea**3*dlon*dlat*0.5* c (sin(zlon(i ))*cos(zlat(j ))*vb(i ,j ) c +sin(zlon(i ))*cos(zlat(j+1))*vb(i ,j+1)) oaam(1)=oaam(1)-ome*rea**4*dlon*dlat/rg*0.5* c (cos(zlon(i ))*cos(zlat(j ))**2*sin(zlat(j ))*ps(i ,j ) c +cos(zlon(i ))*cos(zlat(j+1))**2*sin(zlat(j+1))*ps(i ,j+1)) raam(2)=raam(2)-rea**3*dlon*dlat*0.5* c (sin(zlon(i ))*sin(zlat(j ))*cos(zlat(j ))*ub(i ,j ) c +sin(zlon(i ))*sin(zlat(j+1))*cos(zlat(j+1))*ub(i ,j+1)) c -rea**3*dlon*dlat*0.5* c (cos(zlon(i ))*cos(zlat(j ))*vb(i ,j ) c +cos(zlon(i ))*cos(zlat(j+1))*vb(i ,j+1)) oaam(2)=oaam(2)-ome*rea**4*dlon*dlat/rg*0.5* c (sin(zlon(i ))*cos(zlat(j ))**2*sin(zlat(j ))*ps(i ,j ) c +sin(zlon(i ))*cos(zlat(j+1))**2*sin(zlat(j+1))*ps(i ,j+1)) raam(3)=raam(3)+rea**3*dlon*dlat*0.5* c (cos(zlat(j))**2*ub(i,j)+cos(zlat(j+1))**2*ub(i,j+1)) oaam(3)=oaam(3)+ome*rea**4*dlon*dlat/rg*0.5* c (cos(zlat(j))**3*ps(i,j)+cos(zlat(j+1))**3*ps(i,j+1)) ENDDO ENDDO C C COUPLE DES MONTAGNES: C DO j=1,jjm DO i=1,iim tmou(1)=tmou(1)-rea**2*dlon*0.5*sin(zlon(i)) c *(zs(i,j)-zs(i,j+1)) c *(cos(zlat(j+1))*ps(i,j+1)+cos(zlat(j))*ps(i,j)) tmou(2)=tmou(2)+rea**2*dlon*0.5*cos(zlon(i)) c *(zs(i,j)-zs(i,j+1)) c *(cos(zlat(j+1))*ps(i,j+1)+cos(zlat(j))*ps(i,j)) ENDDO ENDDO DO j=2,jjm DO i=1,iim tmou(1)=tmou(1)+rea**2*dlat*0.5*sin(zlat(j)) c *(zs(i+1,j)-zs(i,j)) c *(cos(zlon(i+1))*ps(i+1,j)+cos(zlon(i))*ps(i,j)) tmou(2)=tmou(2)+rea**2*dlat*0.5*sin(zlat(j)) c *(zs(i+1,j)-zs(i,j)) c *(sin(zlon(i+1))*ps(i+1,j)+sin(zlon(i))*ps(i,j)) tmou(3)=tmou(3)-rea**2*dlat*0.5* c cos(zlat(j))*(zs(i+1,j)-zs(i,j))*(ps(i+1,j)+ps(i,j)) ENDDO ENDDO C C COUPLES DES DIFFERENTES FRICTION AU SOL: C l=1 DO j=2,jjm DO i=1,iim l=l+1 tsso(1)=tsso(1)-rea**3*cos(zlat(j))*dlon*dlat* c ssou(i,j) *sin(zlat(j))*cos(zlon(i)) c +rea**3*cos(zlat(j))*dlon*dlat* c ssov(i,j) *sin(zlon(i)) tsso(2)=tsso(2)-rea**3*cos(zlat(j))*dlon*dlat* c ssou(i,j) *sin(zlat(j))*sin(zlon(i)) c -rea**3*cos(zlat(j))*dlon*dlat* c ssov(i,j) *cos(zlon(i)) tsso(3)=tsso(3)+rea**3*cos(zlat(j))*dlon*dlat* c ssou(i,j) *cos(zlat(j)) tbls(1)=tbls(1)-rea**3*cos(zlat(j))*dlon*dlat* c blsu(i,j) *sin(zlat(j))*cos(zlon(i)) c +rea**3*cos(zlat(j))*dlon*dlat* c blsv(i,j) *sin(zlon(i)) tbls(2)=tbls(2)-rea**3*cos(zlat(j))*dlon*dlat* c blsu(i,j) *sin(zlat(j))*sin(zlon(i)) c -rea**3*cos(zlat(j))*dlon*dlat* c blsv(i,j) *cos(zlon(i)) tbls(3)=tbls(3)+rea**3*cos(zlat(j))*dlon*dlat* c blsu(i,j) *cos(zlat(j)) ENDDO ENDDO c write(*,*) 'AAM',rsec, c write(*,*) 'AAM',rjour+rsec/86400., c c raam(3)/hadday,oaam(3)/hadday, c c tmou(3)/hadley,tsso(3)/hadley,tbls(3)/hadley c write(iam,100)rjour+rsec/86400., c c raam(1)/hadday,oaam(1)/hadday, c c tmou(1)/hadley,tsso(1)/hadley,tbls(1)/hadley, c c raam(2)/hadday,oaam(2)/hadday, c c tmou(2)/hadley,tsso(2)/hadley,tbls(2)/hadley, c c raam(3)/hadday,oaam(3)/hadday, c c tmou(3)/hadley,tsso(3)/hadley,tbls(3)/hadley 100 format(F12.5,15(1x,F12.5)) c write(iam+1,*)((zs(i,j),i=1,iim),j=1,jjm+1) c write(iam+1,*)((ps(i,j),i=1,iim),j=1,jjm+1) c write(iam+1,*)((ub(i,j),i=1,iim),j=1,jjm+1) c write(iam+1,*)((vb(i,j),i=1,iim),j=1,jjm+1) c write(iam+1,*)((ssou(i,j),i=1,iim),j=1,jjm+1) c write(iam+1,*)((ssov(i,j),i=1,iim),j=1,jjm+1) c write(iam+1,*)((blsu(i,j),i=1,iim),j=1,jjm+1) c write(iam+1,*)((blsv(i,j),i=1,iim),j=1,jjm+1) c aam=raam(3) torsfc= tmou(3)+tsso(3)+tbls(3) c RETURN END