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1、SolvingtheThree-DimensionalSolute-TransportEquationUsingaFinite-VolumeEulerian-LagrangianLocalizedAdjointMethod(FVELLAM)T.F.Russell1,C.I.Heberton1,L.F.Konikow2,G.Z.Hornberger21UniversityofColorado,trussell@carbon.ucdenver.edu,cheber@math.ucdenver.edu,Denver,CO,USA2U.S.GeologicalSurvey,lkonikow@us
2、gs.gov,gzhornbe@usgs.gov,Reston,VA,USAABSTRACTAthree-dimensionalfinite-volumeELLAMmethodhasbeendeveloped,tested,andsuccessfullyimplementedaspartoftheU.S.GeologicalSurvey(USGS)MODFLOW-2000ground-watermodelingpackage.ItisincludedasasolveroptionfortheGround-WaterTransportprocess.TheFVELLAMusesspace-
3、timefinitevolumesorientedalongthestreamlinesoftheflowfieldtosolveanintegralformofthesolute-transportequation,thuscombininglocalandglobalmassconservationwiththeadvantagesofEulerian-Lagrangiancharacteristicmethods.TheUSGSFVELLAMcodesimulatessolutetransportinflowinggroundwaterforasingledissolvedsolu
4、teconstituentandrepresentstheprocessesofadvectivetransport,hydrodynamicdispersion,mixingfromfluidsources,andsimplechemicalreactions.Implicittimediscretizationofthedispersiveandsource/sinktermsiscombinedwithaLagrangiantreatmentofadvection,inwhichforwardtrackingmovesmasstothenewtimelevel,distributi
5、ngmassamongdestinationcellsusingapproximateindicatorfunctions.Thisallowstheuseoflargetransporttimeincrements(largeCourantnumbers)withaccurateresults,evenforadvection-dominatedsystems(largePecletnumbers).Numeroustestcases,includingcomparisonswithanalyticalsolutionsandbenchmarkingagainstothernumeri
6、calcodes,indicatethattheFVELLAMcanusuallyyieldexcellentresults,evenifrelativelyfewtransporttimestepsareused,althoughthequalityoftheresultsisproblem-dependent.Thecodeanddocumentation(Hebertonetal.,2000)canbedownloadedfromthewebsitehttp://water.usgs.gov/nrp/gwsoftware/asVersion3.5ofMOC3DorasMF2K_GW
7、T.INTRODUCTIONThemodularfinite-differenceground-waterflowmodel(MODFLOW)developedbytheU.S.GeologicalSurvey(USGS)isawidelyusedandflexiblecomputerprogramforsimulatingthree-dimensionalground-watersystems(McDonald&Harbaugh,
