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1、EnvironmentalModelling&Software40(2013)109e127ContentslistsavailableatSciVerseScienceDirectEnvironmentalModelling&Softwarejournalhomepage:www.elsevier.com/locate/envsoftAhigh-resolutionmethodforthedepth-integratedsolutetransportequationbasedonanunstructuredmesha,b,*ccda,cJunKong,PeiXin,Che
2、ng-JiShen,Zhi-YaoSong,LingLiaStateKeyLaboratoryofHydrology-WaterResourcesandHydraulicEngineering,HohaiUniversity,Nanjing,ChinabNanjingHydraulicResearchInstitute,Nanjing,ChinacNationalCentreforGroundwaterResearchandTraining,SchoolofCivilEngineering,TheUniversityofQueensland,Queensland,Austr
3、aliadKeyLaboratoryofVirtualGeographicEnvironment,MinistryofEducation,NanjingNormalUniversity,Nanjing,ChinaarticleinfoabstractArticlehistory:Thispaperpresentsahigh-resolutionnumericalmethodforsolvingmasstransportproblemsinvolvingReceived18October2011advectionandanisotropicdiffusioninshallow
4、waterbasedonunstructuredmesh.AnalternatingReceivedinrevisedformoperator-splittingtechniqueisadoptedtoadvancethenumericalsolutionwithadvectionanddiffusion18August2012termssolvedseparatelyintwosteps.Byintroducinganewr-factorintotheTotalVariationDiminishingAccepted23August2012(TVD)limiter,ani
5、mprovedfinite-volumemethodisdevelopedtosolvetheadvectiontermwithAvailableonline12October2012significantreductionofnumericaldiffusionandoscillationerrors.Inaddition,acoordinatetrans-formationisintroducedtosimplifythediffusiontermwiththeGreen-GausstheoremusedtodealwithKeywords:theanisotropicef
6、fectbasedonunstructuredmesh.Thenewschemeisvalidatedagainstthreebench-ScalartransportAnisotropicdiffusionmarkcaseswithseparatedandcombinedadvectionanddiffusiontransportprocessesinvolved.ResultsTVDschemeshowthattheschemeperformsbetterthanexistingmethodsinpredictingtheadvectivetransport,Finit
7、evolumemethodparticularlywhenasharpconcentrationfrontisinpresence.ThemodelalsoprovidesasoundsolutionUnstructuredmeshfortheanisotropicdiffusionphenomenon.AnisotropicdiffusionhasbeenlargelyneglectedbyexistingShallowwaterflowmodelsbasedonunstructuredmesh,whichusua
