Discontinuous Galerkin Method and Applications to Fluid-Structure Interaction Problems

0439104 - ÚT 2015 RIV CH eng C - Conference Paper (international conference)
Feistauer, M. - Česenek, J. - Hadrava, M. - Horáček, Jaromír - Kosík, A.
Discontinuous Galerkin Method and Applications to Fluid-Structure Interaction Problems.
High Order Nonlinear Numerical Schemes for Evolutionary PDEs. Vol. 99. Zurich: Springer International Publishing, 2014 - (Abgrall, R.; Beaugendre, H.), s. 185-208. ISBN 978-3-319-05454-4. ISSN 1439-7358.
[High Order Nonlinear Numerical Schemes for Evolutionary PDEs : HONOM 2013. Bordeaux (FR), 18.03.2013-22.03.2013]
R&D Projects: GA ČR(CZ) GAP101/11/0207
Institutional support: RVO:61388998
Keywords : finite element method * Navier-Stokes equations * numerical simulation
Subject RIV: BI - Acoustics

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.
Permanent Link: http://hdl.handle.net/11104/0242633