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1、验证了改进方案以及所编程序的可靠性和计算结果的准确性。尖键词：自由表面流动，光滑粒子流体动力学，溃坝，液滴溅落InvestigationsofsmoothedparticlehydrodynamicsanditsapplicationstofreesurfaceflowproblemsMaLiqiangSupervisor:Prof.ChangJianzhongAbstractFreesurfaceflowsinhydrodynamicswidelyexistinreallifeandengineeringapp
2、lications,andareassociatedwithstrongnonlinearphysics.Thefreesurfaceschangewiththeflowandcanleadtosplashing,spreading,breakingandadhesion.Howtoefficientlyandaccuratelymodelfreesurfaceflowsinhydrodynamicsisoftheoreticalandpracticalsignificance.SmoothedParticleH
3、ydrodynamics(SPH),aLagrangian,meshfreeandparticlemethod,hasbeendevelopedrapidlyandhasalreadybeenappliedsuccessfullyinbio-andnano・engineering,environmentalengineering,nationaldefeusescienceandtechnologyandsoon.Ithasgreatadvantagesindealingwithproblemswithlarge
4、deformation,deformableboundary,freesurfaces,movementinterfaces,andsoon.SPHhasspecialadvantagesoverconventionalgrid-basednumericalmethodsindealingwithcomplexgrid,adaptivegridandmulti-scaleproblems.Thispaperpresentedacomprehensivedescriptionofthebasicequationsa
5、ndprinciplesofSPHanditsrealizationontheNavier-Stokesequation.Innumericalaspects,thispaperdiscussesre-initializationapproachtoimprovedensityestimation,laminarviscosityandsub-particle-scale(SPS)model,artificialviscosity,manualcompression,boundarytreatment,varia
6、blesmoothinglengthandnearestneighborparticlesearchmethod,etc.AsurfacetensionmodelisalsoaddedintotheSPHprogram.ThispaperfocusesontheapplicationofSPHinfreesurfaceflowsinhydrodynamic.includingthedambreakingproblemanddropletsplashing.Differentnumericalschemesare,
7、comparativelystudiedwithsomerevealingresults.Fourseenariosweremodeledwhichinclude1)dambreakingwithsolidobstacles,2)dambreakingwithoutsolidobstacles,3)dropletsplashingonasolidwall,and4)dropletsplashingontobulkliquid・Thedifferencesofthenumericalresultsduetodiff
8、erentmodificationtermsareanalyzed.Forthedambreakingproblem,itisshownthateachsimulationsetupadoptedinthispapercanwellcapturetheflowphysicsindambreaking,especiallyintheinteractionbetweenwat
