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用LEVELSET方法计算溃坝波的传播过程.docx

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用LEVELSET方法计算溃坝波的传播过程 Title:LevelSetMethodforComputationalModelingofDamBreakWavePropagation Abstract: Themodelingandanalysisofdambreakwavepropagationplaysavitalroleinassessingthepotentialhazardsanddesigningsafetymeasuresfordaminfrastructures.ThispaperpresentsacomprehensivestudyontheapplicationoftheLevelSetMethod(LSM)forsimulatingtheprocessofdambreakwavepropagation.TheLevelSetMethodoffersanefficientandaccurateapproachtocapturetheevolvingfreesurface,aswellasaccuratelytrackingthedynamicsandbehavioroffluidflowduringdambreakevents. 1.Introduction Damfailuresandresultingdambreakwavescancausecatastrophicconsequencessuchaslossoflife,severepropertydamage,andenvironmentalimpacts.Computationalmodelingtechniquesplayasignificantroleinunderstandingandpredictingthebehaviorofdambreakwavestominimizethesepotentialrisks.Inrecentyears,theLevelSetMethodhasgainedsignificantpopularityduetoitsrobustnessandaccuracyincapturingcomplexinterfaces,suchastheevolvingfreesurfaceduringdambreakevents. 2.OverviewoftheLevelSetMethod TheLevelSetMethodisamathematicalapproachusedtomodeltheevolutionofinterfacesandboundariesovertime.Itrepresentstheinterfaceasalevelsetfunction,whichisasigned,scalarfunctiondefinedoveracomputationaldomain.TheadvantagesoftheLevelSetMethodincludeitsabilitytohandletopologicalchanges,easilyincorporatevariousboundaryconditions,andaccuratelycapturetheevolvingfreesurfaceduringdambreakwavepropagation. 3.GoverningEquationsforDamBreakWavePropagation TheequationsgoverningthefluidflowduringdambreakeventsincludetheNavier-Stokesequationswithappropriateinitialandboundaryconditions.Inourcase,theemphasisisonthewaterflowfollowingthedambreak,neglectinganyairentrapment,andassumingincompressible,viscousfluidflow. 4.NumericalImplementationofLevelSetMethod TheimplementationoftheLevelSetMethodinvolvesdiscretizingthegoverningequationsusingappropriatenumericalschemesandtechniques.ThepaperwilldiscussthenumericalalgorithmsandtechniquesusedintheLevelSetMethodfordambreakwavepropagationsimulations,including