Thefinitevolumemethod(FVM)hasmanyadvantagesin2-Dshallowwaternumericalsimulation.Inthisstudy,thefinitevolumemethodisusedwithunstructuredtriangulargridstosimulatethetidalcurrents.TheRoeschemeisappliedinthecalculationoftheintercellnumericalflux,andtheMUSCLmethodisintroducedtoimproveitsaccuracy.Thetimeintegralisatwo-stepschemeofforecastandrevision.Fortheverificationofthepresentmethod,theStoker'sproblemiscalculatedandtheresultiscomparedwiththemathematicallyanalyticsolutions.Thecomparisonindicatesthatthemethodisfeasible.Aseaareaofaportisusedasanexampletotestthemethodestablishedhere.Theresultshowsthatthepresentcomputationalmethodissatisfactory,anditcouldbeappliedtotheengineeringfields.