资源描述：
《a hybrid method for moving interface problems with applicationto the hele-shaw flow》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、JOURNALOFCOMPUTATIONALPHYSICS134,236–252(1997)ARTICLENO.CP975689AHybridMethodforMovingInterfaceProblemswithApplicationtotheHele–ShawFlow1ThomasY.Hou,*,2ZhilinLi,†,3StanleyOsher,†,4andHongkaiZhao†,5*AppliedMathematics,CaliforniaInstituteofTechnology,Pasadena,California91125;†DepartmentofMath
2、ematics,UniversityofCaliforniaatLosAngeles,LosAngeles,CA90095.ReceivedApril11,1996;revisedJanuary10,1997areexamplesofthistype;see,e.g.,therecentreviewpaperInthispaper,ahybridapproachwhichcombinestheimmersed[12]forreferences.Thedisadvantageoffronttrackinginterfacemethodwiththelevelsetapproac
3、hispresented.Thefastmethodsisthatitrequiresexplicittrackingofthefront.versionoftheimmersedinterfacemethodisusedtosolvetheThisis,ingeneral,difficultforinterfaceswithcomplicateddifferentialequationswhosesolutionsandtheirderivativesmaybegeometryandtopologicalchangeandparticularsointhreedisconti
4、nuousacrosstheinterfacesduetothediscontinuityofthecoefficientsor/andsingularsourcesalongtheinterfaces.Themov-dimensions.Frontcapturing,inparticular,thelevelsetinginterfacesthenareupdatedusingthenewlydevelopedfastlevelmethodasderivedbyOsherandSethianin[26],onthesetformulationwhichinvolvescomp
5、utationonlyinsidesomesmallotherhand,avoidstheexplicittrackingofthefront.Thetubescontainingtheinterfaces.Thismethodcombinestheadvan-movingfrontisimplicitlycapturedonanEuleriangrid.tageofthetwoapproachesandgivesasecond-orderEuleriandis-Asaconsequence,complexinterfacestructuresandtopo-cretizat
6、ionforinterfaceproblems.Severalkeystepsintheimple-mentationareaddressedindetail.ThisnewapproachisthenappliedlogicalchangescanbecapturedquitenaturallyintwoandtoHele–Shawflow,anunstableflowinvolvingtwofluidswithverythreedimensions;see,e.g.,[4,26,32,33].Onedifficultydifferentviscosity.Q1997Academi
7、cPressassociatedwiththeconventionalfrontcapturingapproachisthepossiblelossofhighorderaccuracyatthemovingfront.Thisisespeciallythecaseforincompressiblefluid1.INTRODUCTIONinterfaceswithsurfacetension[3,4,33],butalsoexistsinnumericalmethodsusingfronttracking
