Authors: Sayyid Hosseini, Babak
Turek, Stefan
Möller, Matthias
Palmes, Christian
Title: Isogeometric Analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows
Language (ISO): en
Abstract: In 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.
Subject Headings: two-phase flow
Cahn-Hilliard phase field model
Navier-Stokes-Cahn-Hilliard equation
isogeometric Analysis
isogeometric finite elements
rising bubble
Rayleigh-Taylor instability
Issue Date: 2016-12
Appears in Collections:Ergebnisberichte des Instituts für Angewandte Mathematik

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