Optimal control of salinity boundary condition in a tidal model using a variational inverse method. Estuarine

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1、Estuarine,CoastalandShelfScience62(2005)13–24www.elsevier.com/locate/ECSSOptimalcontrolofsalinityboundaryconditioninatidalmodelusingavariationalinversemethoda,*,JohnM.HamrickbZhaoqingYangaBattelleSeattleResearchCenter,1100DexterAvenue,North,Suite400,Seattle,WA98109,USAbTetraTech,Inc.,10306EatonPlac

2、e,Suite340,Fairfax,VA22030,USAReceived21November2003;accepted2August2004AbstractAvariationalinversedataassimilationschemeisdevelopedtoestimatethesalinityboundaryconditionsinathree-dimensionaltidalhydrodynamicandsalinitytransportmodel.Inthispaper,themaximumincomingsalinityvalueandtherecoverytimefrom

3、theoutflowsalinitytothemaximumincomingsalinityatmodelopenboundariesaretreatedaspoorlyknownmodelcontrolvariables,andestimatedusingavariationalinversedataassimilationscheme.Thevariationalinversemodelistestedinanidealizedestuaryusingidenticaltwinexperiments,inwhichobserveddataaregeneratedfromthesamemod

4、el.Modeltestswithdifferentinitialguessesofthemodelcontrolvariablesareconductedtoevaluatethecapabilityoftheinversemodel.Apenaltytechniqueisusedtoeliminateoscillationsinthesolutionduringtheminimizationprocess.Theeffectsofpreconditioningandpenaltytermsontheconvergencerateareinvestigated.Modelresultsdemo

5、nstratethatthevariationalinversemodelcanbeusedtoefficientlydeterminetheoptimalsalinityopenboundaryconditionsandimprovethemodelstatewhentherearenoobserveddataavailabletospecifythepropersalinityopenboundaryconditionsinatidalmodel.Ó2004ElsevierLtd.Allrightsreserved.Keywords:dataassimilation;hydrodynamic

6、modeling;tidalmodel;boundarycondition;estuarineprocesses;salinitytransport1.IntroductionamaximumincomingsalinityboundaryvalueandarecoverytimefromtheoutflowsalinitytothemaximumOneofthecriticalfactorsaffectingtheaccuracyofincomingsalinityatopenboundaries.Whensalinitycoastalandestuarinemodelingisthespec

7、ificationofobservationsattheopenboundaryarenotavailable,openboundaryconditions.Inaccuratespecificationestimationsforthemaximumincomingsalinityandtheofopenboundaryconditionsduetothelackofobservedrecoverytimemu