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1、SmoothedParticleHydrodynamicsContentsApplicationsTheadvantagesofSPHBasicideasofSPHBackgroundContentsApplicationsTheadvantagesofSPHBasicideasofSPHBackgroundBackgroundNumericalsimulationisaveryimportantapproach.Grid-basednumericalmethodssufferfromdifficultiesinsomeaspects.Themajordifficultie
2、sareinheritedfromtheuseofgridormesh.BackgroundMeshfreemethodMeshfreeparticlemethods(MPMs)SmoothedparticlehydrodynamicDPD,MD,SPHetc.MeshfreemethodcandealwiththeaboveproblemsSPHOneoftheoldestmeshfreeparticlemethodsContentsApplicationsTheadvantagesofSPHBasicideasofSPHBackgroundBasicIdeasofSPH
3、Insmoothparticlemethodthefluidisrepresentedasasetofparticlesthatcarrythepropertiesofthefluidandinteractaccordingtoequationofmotion.Theequationarederivedinaclearandconsistentwayfromthecontinuumequationandconsitutiverelationforthesystem.BasicIdeasofSPH2.SPHisaintegralrepresentation.kernelapp
4、roximationBasicIdeasofSPH3.Thekernelapproximationisthenfurtherapproximatedusingparticle.ParticleapproximationTheparticleapproximationisperformedateverytimestepTheuseoftheparticledependsonthedistributionoftheparticlesBasicIdeasofSPH4.Theparticleapproximationsareperformedtoalltermsrelatedtof
5、ieldfunctions.OrdinarydiffertialequationsParticledifferentialequationsTheODEsaresolvedateverytimestep,andtoabtainthetimehistoryofallvariablesforallparticles.5.becomegetBasicIdeasofSPHThefluidispresentedbyparticlewhichfollowthefluidmotion.Eachparticlecarriesmass,velocityandotherqualiticle.S
6、PHformulationisdirectlybasedontheresolutionofmacroscopicgoverningequationoffluidflow.6.SummaryContentsApplicationsTheadvantagesofSPHBasicideasofSPHBackgroundTheAdvantagesofSPHSPHisaLagrangianmeshfreeparticlemethod.Theaccuracy,stabilityandadaptivelyareacceptable.Applicationareverywide.SPHis
7、suitabletofollowlargesurfacedeformationinvolvingfreesurfaceandinterfacial.DiscretesystemContinuumsystemsMicro-scaleMacro-scaleContentsApplicationsTheadvantagesofSPHBasicideasofSPHBackgroundApplicationsCaseone----dropletimpactingliquidsurface1.surfacetension---
