Sayyid Hosseini, BabakTurek, StefanMöller, MatthiasPalmes, Christian2017-02-142017-02-142016-122190-1767http://hdl.handle.net/2003/3579710.17877/DE290R-17821In 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.enErgebnisberichte des Instituts für Angewandte Mathematik;551two-phase flowCahn-Hilliard phase field modelNavier-Stokes-Cahn-Hilliard equationisogeometric Analysisisogeometric finite elementsB-splinesrising bubbleNURBSRayleigh-Taylor instability610preprint