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Dear MITgcm community,</div>
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I have been running a simple 2D, homogeneous model to test the sensitivity of tidal forcing on boundary conditions. The model setup is quite simple and idealized: it has a flat bottom, a closed inshore boundary (vertical side wall) and an open offshore boundary
where a sinusoidal barotropic tide is prescribed (panel a in the attached figure). A negligible linear drag coefficient (1e-12) is employed at the bottom all the time. We ran four simulations with different combinations of the bottom boundary condition (free-slip
vs no-slip) and free surface setup (linear vs nonlinear). According to the manual, two of the runs with free-slip have negligible bottom drag, while the other two with no-slip have bottom drag generated from the interior viscosity.</div>
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The simulation results differ dramatically across these cases which is quite confusing. Specifically, we observed very different sea surface height (SSH) tilt in the direction of the tidal flow during equilibrium (panel c). Furthermore, the SSH tilt cannot
be explained by the divergence/convergence of the depth-integrated volume transport in the same direction (panel b). I was curious if anyone has seen similar behaviors before or can comment on whether the result is physical or not. An example data file for
one of the cases is also attached below. Thanks very much for your time!</div>
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Best,</div>
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Chunyu</div>
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<img size="169253" contenttype="image/png" style="max-width: 1759px;" data-outlook-trace="F:1|T:1" src="cid:8133117c-2f2a-4183-a2ac-468f84c8e65e"></div>
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<i>Data File for Case 1:</i></div>
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<i># Model parameters</i></div>
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<i># Continuous equation parameters</i></div>
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<i> &PARM01</i></div>
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<i># Viscosity</i></div>
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<i> viscAh=3,</i></div>
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<i> viscAr=3.E-3,</i></div>
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<i> implicitViscosity=.TRUE.,</i></div>
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<i># Diffusivity and convection</i></div>
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<i> diffKhT=3,</i></div>
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<i> diffKrT=3.E-5,</i></div>
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<i> ivdc_kappa=0.,</i></div>
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<i> implicitDiffusion=.TRUE.,</i></div>
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<i># Coriolis parameter</i></div>
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<i> f0=1.e-4,</i></div>
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<i> beta=0.,</i></div>
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<i> selectCoriScheme=0,</i></div>
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<i># Density and equation of state</i></div>
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<i>#Momentum</i></div>
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<i> momTidalForcing=.FALSE.,</i></div>
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<i># Bottom Conditions</i></div>
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<i> no_slip_sides=.TRUE.,</i></div>
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<i> no_slip_bottom=.TRUE.,</i></div>
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<i> bottomDragLinear=5.E-12,</i></div>
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<i>#bottomDragQuadratic=0.0025,</i></div>
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<i># Temp only active tracer, no salinity</i></div>
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<i> rhoConst=1000.,</i></div>
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<i> rhoNil=1000.,</i></div>
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<i> eosType='LINEAR',</i></div>
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<i> tAlpha=2.E-4,</i></div>
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<i> sBeta =0.E-4,</i></div>
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<i>#tRef= 99*0.,</i></div>
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<i> tRefFile='TRef.bin',</i></div>
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<i> saltStepping=.FALSE.,</i></div>
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<i># activate partial cells</i></div>
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<i> hFacMinDr=0.2,</i></div>
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<i> hFacMin=0.2,</i></div>
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<i># free surface parameters</i></div>
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<i> rigidLid=.FALSE.,</i></div>
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<i> implicitFreeSurface=.TRUE.,</i></div>
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<i> exactConserv=.TRUE.,</i></div>
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<i> nonlinFreeSurf=4,</i></div>
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<i> select_rStar=2,</i></div>
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<i> hFacInf=0.2,</i></div>
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<i> hFacSup=2.0,</i></div>
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<i># advection scheme</i></div>
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<i> tempAdvScheme=3,</i></div>
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<i> staggerTimeStep=.TRUE.,</i></div>
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<i> useSingleCpuIO = .TRUE.,</i></div>
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<i> &</i></div>
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<i># Elliptic solver parameters</i></div>
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<i> &PARM02</i></div>
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<i> cg2dTargetResidual=1.E-7,</i></div>
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<i> cg2dMaxIters=1000,</i></div>
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<i> &</i></div>
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<i><br>
</i></div>
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<i># Time stepping parameters</i></div>
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<i> &PARM03</i></div>
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<i> nIter0=0,</i></div>
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<i> nTimeSteps=108000,</i></div>
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<i> deltaT=30.0,</i></div>
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<i> pChkptFreq=0.0,</i></div>
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<i> chkptFreq=0.0,</i></div>
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<i> dumpFreq=3720.,</i></div>
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<i> monitorFreq=0.,</i></div>
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<i> monitorSelect=2,</i></div>
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<i> tauThetaClimRelax=0.,</i></div>
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<i> momDissip_In_AB=.TRUE.,</i></div>
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<i>#Forcing for boundary condition files</i></div>
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<i> periodicExternalForcing=.TRUE.,</i></div>
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<i># 1/12th M2 tidal period...</i></div>
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<i> externForcingPeriod = 310.,</i></div>
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<i> externForcingCycle = 44640.,</i></div>
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<i> &</i></div>
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<i># Gridding parameters</i></div>
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<i> &PARM04</i></div>
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<i> usingCartesianGrid=.TRUE.,</i></div>
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<i> delX=1000*150.,</i></div>
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<i> delY=1*1.E3,</i></div>
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<i> delR=200*1.,</i></div>
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<i> &</i></div>
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<i># Input datasets</i></div>
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<i> &PARM05</i></div>
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<i> bathyFile='bathy.50km.bin',</i></div>
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<i> zonalWindFile=,</i></div>
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<i> uVelInitFile='uvelocity.bin',</i></div>
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<i> meridWindFile=,</i></div>
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<i> hydrogThetaFile='temperature.50km.bin',</i></div>
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<i> &</i></div>
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