Isogeometric Analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows

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dc.contributor.authorSayyid Hosseini, Babak
dc.contributor.authorTurek, Stefan
dc.contributor.authorMöller, Matthias
dc.contributor.authorPalmes, Christian
dc.date.accessioned2017-02-14T09:33:57Z
dc.date.available2017-02-14T09:33:57Z
dc.date.issued2016-12
dc.description.abstractIn this work, we present our numerical results of the application of Galerkin-based Isogeometric Analysis (IGA) to incompressible Navier-Stokes-Cahn-Hilliard (NSCH) equations in velocity-pressure-phase field-chemical potential formulation. For the approximation of the velocity and pressure fields, LBB compatible non-uniform rational B-spline spaces are used which can be regarded as smooth generalizations of Taylor-Hood pairs of finite element spaces. The one-step \theta-scheme is used for the discretization in time. The static and rising bubble, in addition to the nonlinear Rayleigh-Taylor instability flow problems, are considered in two dimensions as model problems in order to investigate the numerical properties of the scheme.en
dc.identifier.issn2190-1767
dc.identifier.urihttp://hdl.handle.net/2003/35797
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-17821
dc.language.isoen
dc.relation.ispartofseriesErgebnisberichte des Instituts für Angewandte Mathematik;551de
dc.subjecttwo-phase flowen
dc.subjectCahn-Hilliard phase field modelen
dc.subjectNavier-Stokes-Cahn-Hilliard equationen
dc.subjectisogeometric Analysisen
dc.subjectisogeometric finite elementsen
dc.subjectB-splinesen
dc.subjectrising bubbleen
dc.subjectNURBSen
dc.subjectRayleigh-Taylor instabilityen
dc.subject.ddc610
dc.titleIsogeometric Analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flowsen
dc.typeText
dc.type.publicationtypepreprint
dcterms.accessRightsopen access

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