| 1 | ! |
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| 2 | ! $Id: aaam_bud.F 1403 2010-07-01 09:02:53Z fairhead $ |
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| 3 | ! |
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| 4 | subroutine aaam_bud (iam,nlon,nlev,rjour,rsec, & |
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| 5 | & rea,rg,ome, & |
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| 6 | & plat,plon,phis, & |
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| 7 | & dragu,liftu,phyu, & |
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| 8 | & dragv,liftv,phyv, & |
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| 9 | & p, u, v, & |
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| 10 | & aam, torsfc) |
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| 11 | !c |
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| 12 | use dimphy |
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| 13 | implicit none |
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| 14 | !c====================================================================== |
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| 15 | !c Auteur(s): F.Lott (LMD/CNRS) date: 20031020 |
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| 16 | !c Object: Compute different terms of the axial AAAM Budget. |
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| 17 | !C No outputs, every AAM quantities are written on the IAM |
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| 18 | !C File. |
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| 19 | !c |
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| 20 | !c Modif : I.Musat (LMD/CNRS) date : 20041020 |
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| 21 | !c Outputs : axial components of wind AAM "aam" and total surface torque "torsfc", |
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| 22 | !c but no write in the iam file. |
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| 23 | !c |
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| 24 | !C WARNING: Only valid for regular rectangular grids. |
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| 25 | !C REMARK: CALL DANS PHYSIQ AFTER lift_noro: |
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| 26 | !C CALL aaam_bud (27,klon,klev,rjourvrai,gmtime, |
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| 27 | !C C ra,rg,romega, |
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| 28 | !C C rlat,rlon,pphis, |
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| 29 | !C C zustrdr,zustrli,zustrph, |
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| 30 | !C C zvstrdr,zvstrli,zvstrph, |
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| 31 | !C C paprs,u,v) |
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| 32 | !C |
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| 33 | !C====================================================================== |
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| 34 | !c Explicit Arguments: |
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| 35 | !c ================== |
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| 36 | !c iam-----input-I-File number where AAMs and torques are written |
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| 37 | !c It is a formatted file that has been opened |
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| 38 | !c in physiq.F |
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| 39 | !c nlon----input-I-Total number of horizontal points that get into physics |
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| 40 | !c nlev----input-I-Number of vertical levels |
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| 41 | !c rjour -R-Jour compte depuis le debut de la simu (run.def) |
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| 42 | !c rsec -R-Seconde de la journee |
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| 43 | !c rea -R-Earth radius |
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| 44 | !c rg -R-gravity constant |
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| 45 | !c ome -R-Earth rotation rate |
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| 46 | !c plat ---input-R-Latitude en degres |
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| 47 | !c plon ---input-R-Longitude en degres |
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| 48 | !c phis ---input-R-Geopotential at the ground |
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| 49 | !c dragu---input-R-orodrag stress (zonal) |
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| 50 | !c liftu---input-R-orolift stress (zonal) |
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| 51 | !c phyu----input-R-Stress total de la physique (zonal) |
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| 52 | !c dragv---input-R-orodrag stress (Meridional) |
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| 53 | !c liftv---input-R-orolift stress (Meridional) |
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| 54 | !c phyv----input-R-Stress total de la physique (Meridional) |
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| 55 | !c p-------input-R-Pressure (Pa) at model half levels |
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| 56 | !c u-------input-R-Horizontal wind (m/s) |
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| 57 | !c v-------input-R-Meridional wind (m/s) |
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| 58 | !c aam-----output-R-Axial Wind AAM (=raam(3)) |
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| 59 | !c torsfc--output-R-Total surface torque (=tmou(3)+tsso(3)+tbls(3)) |
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| 60 | !c |
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| 61 | !c Implicit Arguments: |
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| 62 | !c =================== |
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| 63 | !c |
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| 64 | !c iim--common-I: Number of longitude intervals |
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| 65 | !c jjm--common-I: Number of latitude intervals |
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| 66 | !c klon-common-I: Number of points seen by the physics |
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| 67 | !c iim*(jjm-1)+2 for instance |
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| 68 | !c klev-common-I: Number of vertical layers |
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| 69 | !c====================================================================== |
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| 70 | !c Local Variables: |
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| 71 | !c ================ |
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| 72 | !c dlat-----R: Latitude increment (Radians) |
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| 73 | !c dlon-----R: Longitude increment (Radians) |
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| 74 | !c raam ---R: Wind AAM (3 Components, 1 & 2 Equatoriales; 3 Axiale) |
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| 75 | !c oaam ---R: Mass AAM (3 Components, 1 & 2 Equatoriales; 3 Axiale) |
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| 76 | !c tmou-----R: Resolved Mountain torque (3 components) |
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| 77 | !c tsso-----R: Parameterised Moutain drag torque (3 components) |
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| 78 | !c tbls-----R: Parameterised Boundary layer torque (3 components) |
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| 79 | !c |
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| 80 | !c LOCAL ARRAY: |
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| 81 | !c =========== |
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| 82 | !c zs ---R: Topographic height |
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| 83 | !c ps ---R: Surface Pressure |
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| 84 | !c ub ---R: Barotropic wind zonal |
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| 85 | !c vb ---R: Barotropic wind meridional |
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| 86 | !c zlat ---R: Latitude in radians |
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| 87 | !c zlon ---R: Longitude in radians |
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| 88 | !c====================================================================== |
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| 89 | |
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| 90 | #include "dimensions.h" |
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| 91 | !ccc#include "dimphy.h" |
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| 92 | !c |
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| 93 | !c ARGUMENTS |
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| 94 | !c |
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| 95 | INTEGER iam,nlon,nlev |
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| 96 | REAL, intent(in):: rjour,rsec,rea,rg,ome |
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| 97 | REAL plat(nlon),plon(nlon),phis(nlon) |
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| 98 | REAL dragu(nlon),liftu(nlon),phyu(nlon) |
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| 99 | REAL dragv(nlon),liftv(nlon),phyv(nlon) |
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| 100 | REAL p(nlon,nlev+1), u(nlon,nlev), v(nlon,nlev) |
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| 101 | !c |
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| 102 | !c Variables locales: |
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| 103 | !c |
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| 104 | INTEGER i,j,k,l |
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| 105 | REAL xpi,hadley,hadday |
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| 106 | REAL dlat,dlon |
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| 107 | REAL raam(3),oaam(3),tmou(3),tsso(3),tbls(3) |
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| 108 | integer iax |
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| 109 | !IM ajout aam, torsfc |
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| 110 | !c aam = composante axiale du Wind AAM raam |
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| 111 | !c torsfc = composante axiale de (tmou+tsso+tbls) |
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| 112 | REAL aam, torsfc |
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| 113 | |
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| 114 | REAL ZS(801,401),PS(801,401) |
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| 115 | REAL UB(801,401),VB(801,401) |
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| 116 | REAL SSOU(801,401),SSOV(801,401) |
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| 117 | REAL BLSU(801,401),BLSV(801,401) |
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| 118 | REAL ZLON(801),ZLAT(401) |
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| 119 | |
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| 120 | CHARACTER (LEN=20) :: modname='aaam_bud' |
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| 121 | CHARACTER (LEN=80) :: abort_message |
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| 122 | |
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| 123 | |
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| 124 | !C |
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| 125 | !C PUT AAM QUANTITIES AT ZERO: |
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| 126 | !C |
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| 127 | if(iim+1.gt.801.or.jjm+1.gt.401)then |
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| 128 | abort_message = 'Pb de dimension dans aaam_bud' |
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| 129 | CALL abort_gcm (modname,abort_message,1) |
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| 130 | endif |
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| 131 | |
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| 132 | xpi=acos(-1.) |
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| 133 | hadley=1.e18 |
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| 134 | hadday=1.e18*24.*3600. |
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| 135 | dlat=xpi/REAL(jjm) |
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| 136 | dlon=2.*xpi/REAL(iim) |
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| 137 | |
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| 138 | do iax=1,3 |
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| 139 | oaam(iax)=0. |
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| 140 | raam(iax)=0. |
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| 141 | tmou(iax)=0. |
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| 142 | tsso(iax)=0. |
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| 143 | tbls(iax)=0. |
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| 144 | enddo |
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| 145 | |
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| 146 | !C MOUNTAIN HEIGHT, PRESSURE AND BAROTROPIC WIND: |
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| 147 | |
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| 148 | !C North pole values (j=1): |
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| 149 | |
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| 150 | l=1 |
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| 151 | |
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| 152 | ub(1,1)=0. |
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| 153 | vb(1,1)=0. |
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| 154 | do k=1,nlev |
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| 155 | ub(1,1)=ub(1,1)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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| 156 | vb(1,1)=vb(1,1)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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| 157 | enddo |
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| 158 | |
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| 159 | zlat(1)=plat(l)*xpi/180. |
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| 160 | |
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| 161 | do i=1,iim+1 |
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| 162 | |
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| 163 | zs(i,1)=phis(l)/rg |
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| 164 | ps(i,1)=p(l,1) |
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| 165 | ub(i,1)=ub(1,1) |
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| 166 | vb(i,1)=vb(1,1) |
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| 167 | ssou(i,1)=dragu(l)+liftu(l) |
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| 168 | ssov(i,1)=dragv(l)+liftv(l) |
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| 169 | blsu(i,1)=phyu(l)-dragu(l)-liftu(l) |
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| 170 | blsv(i,1)=phyv(l)-dragv(l)-liftv(l) |
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| 171 | |
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| 172 | enddo |
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| 173 | |
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| 174 | |
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| 175 | do j = 2,jjm |
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| 176 | |
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| 177 | !C Values at Greenwich (Periodicity) |
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| 178 | |
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| 179 | zs(iim+1,j)=phis(l+1)/rg |
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| 180 | ps(iim+1,j)=p(l+1,1) |
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| 181 | ssou(iim+1,j)=dragu(l+1)+liftu(l+1) |
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| 182 | ssov(iim+1,j)=dragv(l+1)+liftv(l+1) |
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| 183 | blsu(iim+1,j)=phyu(l+1)-dragu(l+1)-liftu(l+1) |
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| 184 | blsv(iim+1,j)=phyv(l+1)-dragv(l+1)-liftv(l+1) |
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| 185 | zlon(iim+1)=-plon(l+1)*xpi/180. |
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| 186 | zlat(j)=plat(l+1)*xpi/180. |
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| 187 | |
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| 188 | ub(iim+1,j)=0. |
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| 189 | vb(iim+1,j)=0. |
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| 190 | do k=1,nlev |
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| 191 | 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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| 192 | 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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| 193 | enddo |
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| 194 | |
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| 195 | |
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| 196 | do i=1,iim |
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| 197 | |
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| 198 | l=l+1 |
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| 199 | zs(i,j)=phis(l)/rg |
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| 200 | ps(i,j)=p(l,1) |
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| 201 | ssou(i,j)=dragu(l)+liftu(l) |
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| 202 | ssov(i,j)=dragv(l)+liftv(l) |
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| 203 | blsu(i,j)=phyu(l)-dragu(l)-liftu(l) |
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| 204 | blsv(i,j)=phyv(l)-dragv(l)-liftv(l) |
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| 205 | zlon(i)=plon(l)*xpi/180. |
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| 206 | |
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| 207 | ub(i,j)=0. |
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| 208 | vb(i,j)=0. |
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| 209 | do k=1,nlev |
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| 210 | ub(i,j)=ub(i,j)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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| 211 | vb(i,j)=vb(i,j)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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| 212 | enddo |
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| 213 | |
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| 214 | enddo |
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| 215 | |
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| 216 | enddo |
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| 217 | |
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| 218 | |
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| 219 | !C South Pole |
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| 220 | |
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| 221 | if (jjm.GT.1) then |
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| 222 | l=l+1 |
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| 223 | ub(1,jjm+1)=0. |
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| 224 | vb(1,jjm+1)=0. |
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| 225 | do k=1,nlev |
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| 226 | ub(1,jjm+1)=ub(1,jjm+1)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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| 227 | vb(1,jjm+1)=vb(1,jjm+1)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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| 228 | enddo |
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| 229 | zlat(jjm+1)=plat(l)*xpi/180. |
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| 230 | |
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| 231 | do i=1,iim+1 |
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| 232 | zs(i,jjm+1)=phis(l)/rg |
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| 233 | ps(i,jjm+1)=p(l,1) |
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| 234 | ssou(i,jjm+1)=dragu(l)+liftu(l) |
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| 235 | ssov(i,jjm+1)=dragv(l)+liftv(l) |
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| 236 | blsu(i,jjm+1)=phyu(l)-dragu(l)-liftu(l) |
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| 237 | blsv(i,jjm+1)=phyv(l)-dragv(l)-liftv(l) |
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| 238 | ub(i,jjm+1)=ub(1,jjm+1) |
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| 239 | vb(i,jjm+1)=vb(1,jjm+1) |
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| 240 | enddo |
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| 241 | endif |
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| 242 | |
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| 243 | !C |
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| 244 | !C MOMENT ANGULAIRE |
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| 245 | !C |
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| 246 | DO j=1,jjm |
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| 247 | DO i=1,iim |
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| 248 | |
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| 249 | raam(1)=raam(1)-rea**3*dlon*dlat*0.5* & |
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| 250 | & (cos(zlon(i ))*sin(zlat(j ))*cos(zlat(j ))*ub(i ,j ) & |
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| 251 | & +cos(zlon(i ))*sin(zlat(j+1))*cos(zlat(j+1))*ub(i ,j+1)) & |
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| 252 | & +rea**3*dlon*dlat*0.5* & |
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| 253 | & (sin(zlon(i ))*cos(zlat(j ))*vb(i ,j ) & |
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| 254 | & +sin(zlon(i ))*cos(zlat(j+1))*vb(i ,j+1)) |
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| 255 | |
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| 256 | oaam(1)=oaam(1)-ome*rea**4*dlon*dlat/rg*0.5* & |
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| 257 | & (cos(zlon(i ))*cos(zlat(j ))**2*sin(zlat(j ))*ps(i ,j ) & |
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| 258 | & +cos(zlon(i ))*cos(zlat(j+1))**2*sin(zlat(j+1))*ps(i ,j+1)) |
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| 259 | |
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| 260 | raam(2)=raam(2)-rea**3*dlon*dlat*0.5* & |
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| 261 | & (sin(zlon(i ))*sin(zlat(j ))*cos(zlat(j ))*ub(i ,j ) & |
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| 262 | & +sin(zlon(i ))*sin(zlat(j+1))*cos(zlat(j+1))*ub(i ,j+1)) & |
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| 263 | & -rea**3*dlon*dlat*0.5* & |
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| 264 | & (cos(zlon(i ))*cos(zlat(j ))*vb(i ,j ) & |
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| 265 | & +cos(zlon(i ))*cos(zlat(j+1))*vb(i ,j+1)) |
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| 266 | |
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| 267 | oaam(2)=oaam(2)-ome*rea**4*dlon*dlat/rg*0.5* & |
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| 268 | & (sin(zlon(i ))*cos(zlat(j ))**2*sin(zlat(j ))*ps(i ,j ) & |
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| 269 | & +sin(zlon(i ))*cos(zlat(j+1))**2*sin(zlat(j+1))*ps(i ,j+1)) |
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| 270 | |
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| 271 | raam(3)=raam(3)+rea**3*dlon*dlat*0.5* & |
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| 272 | & (cos(zlat(j))**2*ub(i,j)+cos(zlat(j+1))**2*ub(i,j+1)) |
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| 273 | |
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| 274 | oaam(3)=oaam(3)+ome*rea**4*dlon*dlat/rg*0.5* & |
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| 275 | & (cos(zlat(j))**3*ps(i,j)+cos(zlat(j+1))**3*ps(i,j+1)) |
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| 276 | |
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| 277 | ENDDO |
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| 278 | ENDDO |
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| 279 | |
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| 280 | !C |
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| 281 | !C COUPLE DES MONTAGNES: |
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| 282 | !C |
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| 283 | |
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| 284 | DO j=1,jjm |
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| 285 | DO i=1,iim |
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| 286 | tmou(1)=tmou(1)-rea**2*dlon*0.5*sin(zlon(i)) & |
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| 287 | & *(zs(i,j)-zs(i,j+1)) & |
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| 288 | & *(cos(zlat(j+1))*ps(i,j+1)+cos(zlat(j))*ps(i,j)) |
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| 289 | tmou(2)=tmou(2)+rea**2*dlon*0.5*cos(zlon(i)) & |
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| 290 | & *(zs(i,j)-zs(i,j+1)) & |
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| 291 | & *(cos(zlat(j+1))*ps(i,j+1)+cos(zlat(j))*ps(i,j)) |
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| 292 | ENDDO |
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| 293 | ENDDO |
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| 294 | |
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| 295 | DO j=2,jjm |
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| 296 | DO i=1,iim |
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| 297 | tmou(1)=tmou(1)+rea**2*dlat*0.5*sin(zlat(j)) & |
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| 298 | & *(zs(i+1,j)-zs(i,j)) & |
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| 299 | & *(cos(zlon(i+1))*ps(i+1,j)+cos(zlon(i))*ps(i,j)) |
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| 300 | tmou(2)=tmou(2)+rea**2*dlat*0.5*sin(zlat(j)) & |
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| 301 | & *(zs(i+1,j)-zs(i,j)) & |
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| 302 | & *(sin(zlon(i+1))*ps(i+1,j)+sin(zlon(i))*ps(i,j)) |
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| 303 | tmou(3)=tmou(3)-rea**2*dlat*0.5* & |
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| 304 | & cos(zlat(j))*(zs(i+1,j)-zs(i,j))*(ps(i+1,j)+ps(i,j)) |
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| 305 | ENDDO |
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| 306 | ENDDO |
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| 307 | |
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| 308 | !C |
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| 309 | !C COUPLES DES DIFFERENTES FRICTION AU SOL: |
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| 310 | !C |
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| 311 | l=1 |
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| 312 | DO j=2,jjm |
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| 313 | DO i=1,iim |
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| 314 | l=l+1 |
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| 315 | tsso(1)=tsso(1)-rea**3*cos(zlat(j))*dlon*dlat* & |
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| 316 | & ssou(i,j) *sin(zlat(j))*cos(zlon(i)) & |
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| 317 | & +rea**3*cos(zlat(j))*dlon*dlat* & |
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| 318 | & ssov(i,j) *sin(zlon(i)) |
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| 319 | |
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| 320 | tsso(2)=tsso(2)-rea**3*cos(zlat(j))*dlon*dlat* & |
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| 321 | & ssou(i,j) *sin(zlat(j))*sin(zlon(i)) & |
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| 322 | & -rea**3*cos(zlat(j))*dlon*dlat* & |
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| 323 | & ssov(i,j) *cos(zlon(i)) |
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| 324 | |
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| 325 | tsso(3)=tsso(3)+rea**3*cos(zlat(j))*dlon*dlat* & |
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| 326 | & ssou(i,j) *cos(zlat(j)) |
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| 327 | |
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| 328 | tbls(1)=tbls(1)-rea**3*cos(zlat(j))*dlon*dlat* & |
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| 329 | & blsu(i,j) *sin(zlat(j))*cos(zlon(i)) & |
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| 330 | & +rea**3*cos(zlat(j))*dlon*dlat* & |
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| 331 | & blsv(i,j) *sin(zlon(i)) |
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| 332 | |
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| 333 | tbls(2)=tbls(2)-rea**3*cos(zlat(j))*dlon*dlat* & |
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| 334 | & blsu(i,j) *sin(zlat(j))*sin(zlon(i)) & |
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| 335 | & -rea**3*cos(zlat(j))*dlon*dlat* & |
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| 336 | & blsv(i,j) *cos(zlon(i)) |
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| 337 | |
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| 338 | tbls(3)=tbls(3)+rea**3*cos(zlat(j))*dlon*dlat* & |
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| 339 | & blsu(i,j) *cos(zlat(j)) |
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| 340 | |
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| 341 | ENDDO |
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| 342 | ENDDO |
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| 343 | |
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| 344 | |
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| 345 | !c write(*,*) 'AAM',rsec, |
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| 346 | !c write(*,*) 'AAM',rjour+rsec/86400., |
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| 347 | !c c raam(3)/hadday,oaam(3)/hadday, |
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| 348 | !c c tmou(3)/hadley,tsso(3)/hadley,tbls(3)/hadley |
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| 349 | |
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| 350 | !c write(iam,100)rjour+rsec/86400., |
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| 351 | !c c raam(1)/hadday,oaam(1)/hadday, |
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| 352 | !c c tmou(1)/hadley,tsso(1)/hadley,tbls(1)/hadley, |
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| 353 | !c c raam(2)/hadday,oaam(2)/hadday, |
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| 354 | !c c tmou(2)/hadley,tsso(2)/hadley,tbls(2)/hadley, |
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| 355 | !c c raam(3)/hadday,oaam(3)/hadday, |
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| 356 | !c c tmou(3)/hadley,tsso(3)/hadley,tbls(3)/hadley |
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| 357 | 100 format(F12.5,15(1x,F12.5)) |
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| 358 | |
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| 359 | !c write(iam+1,*)((zs(i,j),i=1,iim),j=1,jjm+1) |
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| 360 | !c write(iam+1,*)((ps(i,j),i=1,iim),j=1,jjm+1) |
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| 361 | !c write(iam+1,*)((ub(i,j),i=1,iim),j=1,jjm+1) |
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| 362 | !c write(iam+1,*)((vb(i,j),i=1,iim),j=1,jjm+1) |
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| 363 | !c write(iam+1,*)((ssou(i,j),i=1,iim),j=1,jjm+1) |
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| 364 | !c write(iam+1,*)((ssov(i,j),i=1,iim),j=1,jjm+1) |
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| 365 | !c write(iam+1,*)((blsu(i,j),i=1,iim),j=1,jjm+1) |
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| 366 | !c write(iam+1,*)((blsv(i,j),i=1,iim),j=1,jjm+1) |
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| 367 | !c |
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| 368 | aam=raam(3) |
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| 369 | torsfc= tmou(3)+tsso(3)+tbls(3) |
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| 370 | !c |
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| 371 | RETURN |
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| 372 | END |
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