[MITgcm-support] Transport through a section

[Michael Schaferkotter]

transport will be velocity times area of face, presumably in this case \sum_{k=1}^km v(k)*dy(k)*dz(k).

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> On Mar 7, 2016, at 04:03, "lianzhan at fio.org.cn" <lianzhan at fio.org.cn> wrote:
> 
>>>>>> Dear MITgcm users,
> 
> 
> I am simulating the  barotropic gyre in an ideal rectangular basin, there is an island in this basin and there is a sill on the left side of the island (the sketch map is shown in attachment). I want to study the transports of water through section A and B (in the north and south of the strait with sill). There two sections , the western boundary of island and the weastern boundary of basin form the boundary of an closed region, therefore the transports through these two sections are suppose to be strictly equal. But they are not, as seen from the result of numerical model. Is it possibly and how could this be? Every suggestion would be greatly appreciated!
> 
> I calculate the transport <Catch5AB7.jpg>by: <Catch.jpg>, where the <Catch3834.jpg> is meridinal velocity and dz is the thickness of layers. The number of layers in this model is "km".  And here is my "data" file:
> 
> 
>  &PARM01
>  tRef=24*20.,
>  sRef=24*10.,
>  viscAz=1.E-4,
>  viscAh=2.E4,
>  diffKhT=1.E3,
>  diffKzT=1.E-4,
>  f0=0.2E-4,
>  beta=2.E-11,
>  tAlpha=2.E-4,
>  sBeta =0.,
>  gravity=9.81,
>  gBaro=9.81,
>  rigidLid=.FALSE.,
>  implicitFreeSurface=.TRUE.,
>  rhonil=1035.,
>  eosType='LINEAR',
>  readBinaryPrec=32,
>  no_slip_sides=.FALSE.,
>  no_slip_bottom=.FALSE.,
>  &
> 
> # Elliptic solver parameters
>  &PARM02
>  cg2dMaxIters=1000,
>  cg2dTargetResidual=1.E-7,
>  &
> 
> # Time stepping parameters
>  &PARM03
>  startTime=0,
>  endTime=311040000,
>  deltaTmom=200.0,
> # tauCD=172800.,
>  abEps=0.1,
>  pChkptFreq=311040000.0,
>  chkptFreq=311040000.0,
>  dumpFreq=31104000.0,
>  monitorFreq=311040000.,
>  &
> 
> # Gridding parameters
>  &PARM04
>  usingCartesianGrid=.TRUE.,
>  delX=500*20E3,
>  delY=250*20E3, 
>  delZ=5.,5.,5.,5.,10.,10.,10.,10.,20.,20.,20.,20.,50.,50.,50.,50.,100.,100.,100.,100.,100.,100.,100.,100.,
>  &
> 
> # Input datasets
>  &PARM05
>  bathyFile='dep_1i_sill_50.bin',
>  zonalWindFile='taux01.bin',
> 
> With my best regards
> 
> Lian Zhan
> 
> First Institute of Oceanography (FIO),State Oceanic Administration (SOA),P.R.China
> Add: No.6 Xianxialing Road,Qingdao,266061,P.R.China
> Tel: +86-532-88967320
> E-mail: lianzhan at fio.org.cn
> <dep.gif>
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