简介:Thefinitevolumemethod(FVM)hasmanyadvantagesin2-Dshallowwaternumericalsimulation.Inthisstudy,thefinitevolumemethodisusedwithunstructuredtriangulargridstosimulatethetidalcurrents.TheRoeschemeisappliedinthecalculationoftheintercellnumericalflux,andtheMUSCLmethodisintroducedtoimproveitsaccuracy.Thetimeintegralisatwo-stepschemeofforecastandrevision.Fortheverificationofthepresentmethod,theStoker'sproblemiscalculatedandtheresultiscomparedwiththemathematicallyanalyticsolutions.Thecomparisonindicatesthatthemethodisfeasible.Aseaareaofaportisusedasanexampletotestthemethodestablishedhere.Theresultshowsthatthepresentcomputationalmethodissatisfactory,anditcouldbeappliedtotheengineeringfields.
简介:AnovelVOF-typevolume-trackingmethodfortwo-dimensionalfree-surfaceflowsbasedontheunstructuredtriangularmeshispresented.Owingtotheinherentmeritoftheunstructuredtriangularmeshinfittingcurvedboundaries,thismethodcanhandlethefree-surfaceproblemswithcomplexgeometriesaccuratelyanddirectly,withoutintroducinganycomplicatedboundarytreatmentorartificialdiffusion.ThemethodsolvesthevolumetransportequationgeometricallythroughtheModifiedLagrangian-EulerianRe-map(MLER)method,whichisappliedtoadvectivefluidvolumes.Moreover,thePLICmethodisadoptedtogiveasecond-orderreconstructedinterfaceapproximation.Tovalidatethismethod,twoadvectiontestswereperformedfortheestablishmentoftheaccuracyandconvergencerateofthesolutions.Numericalresultsforthesecomplextestsprovideconvincingevidencefortheexcellentsolutionqualityandfidelityofthemethod.