Autor(en): | Sayyid Hosseini, Babak Turek, Stefan Möller, Matthias Palmes, Christian |
Titel: | Isogeometric Analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows |
Sprache (ISO): | en |
Zusammenfassung: | 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. |
Schlagwörter: | two-phase flow Cahn-Hilliard phase field model Navier-Stokes-Cahn-Hilliard equation isogeometric Analysis isogeometric finite elements B-splines rising bubble NURBS Rayleigh-Taylor instability |
URI: | http://hdl.handle.net/2003/35797 http://dx.doi.org/10.17877/DE290R-17821 |
Erscheinungsdatum: | 2016-12 |
Enthalten in den Sammlungen: | Ergebnisberichte des Instituts für Angewandte Mathematik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Ergebnisbericht Nr. 551.pdf | DNB | 3.09 MB | Adobe PDF | Öffnen/Anzeigen |
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