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Discontinuous Galerkin Method and Applications to Fluid-Structure Interaction Problems
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SYSNO ASEP 0439104 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Discontinuous Galerkin Method and Applications to Fluid-Structure Interaction Problems Author(s) Feistauer, M. (CZ)
Česenek, J. (CZ)
Hadrava, M. (CZ)
Horáček, Jaromír (UT-L) RID, ORCID
Kosík, A. (CZ)Source Title High Order Nonlinear Numerical Schemes for Evolutionary PDEs, 99. - Zurich : Springer International Publishing, 2014 / Abgrall R. ; Beaugendre H. - ISSN 1439-7358 - ISBN 978-3-319-05454-4 Pages s. 185-208 Number of pages 24 s. Publication form Print - P Action High Order Nonlinear Numerical Schemes for Evolutionary PDEs : HONOM 2013 Event date 18.03.2013-22.03.2013 VEvent location Bordeaux Country FR - France Event type WRD Language eng - English Country CH - Switzerland Keywords finite element method ; Navier-Stokes equations ; numerical simulation Subject RIV BI - Acoustics R&D Projects GAP101/11/0207 GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 DOI 10.1007/978-3-319-05455-1_11 Annotation The subject of the paper is the numerical simulation of viscous compressible flow in time dependent domains. The motion of the boundary of the domain occupied by the fluid is taken into account with the aid of the ALE (Arbitrary Lagrangian-Eulerian) formulation of the Navier-Stokes equations. The flow problem is coupled with the dynamical linear elasticity problem. Both problems are discretized in space by the discontinuous Galerkin (DG) finite element method using piecewise polynomial discontinuous approximations. The time discretization is carried out by the BDF scheme or the DG in time. The developed methods are tested by numerical experiments and applied to the solution of a fluid-structure interaction problem. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2015
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