Discontinuous Galerkin Method for the Solution of Elasto-Dynamic and Fluid-Structure Interaction Problems

0466921 - ÚT 2017 RIV CH eng C - Conference Paper (international conference)
Feistauer, M. - Hadrava, M. - Kosík, M. - Horáček, Jaromír
Discontinuous Galerkin Method for the Solution of Elasto-Dynamic and Fluid-Structure Interaction Problems.
Numerical Mathematics and Advanced Applications ENUMATH 2015. Lausanne: SpringrLink, 2016 - (Karasözen, B.; Manguoğlu, M.; Göktepe, S.), s. 155-163. Lecture Notes in Computational Science and Engineering, 112. ISBN 978-3-319-39927-0.
[Numerical Mathematics and Advanced Applications ENUMATH 2015. Ankara (TR), 14.09.2015-18.09.2015]
R&D Projects: GA ČR GAP101/11/0207
Institutional support: RVO:61388998
Keywords : nonlinear elasticity * compressible Navier-Stokes equations * flow-induced vibrations of solid in a channel
Subject RIV: BI - Acoustics; BI - Acoustics (UT-L)

This paper is concerned with the numerical solution of dynamic elasticity by the discontinuous Galerkin (dG) method. We consider the linear and nonlinear St. Venant-Kirchhoff model. The dynamic elasticity problem is split into two sytems of first order in time. They are discretized by the discontinuous Galerkin method in space and backward difference formula in time. The developed method is tested by numerical experiments. The the method is combined with the space-time dG method for the solution of compressible flow in a time dependent domain and used for numerical simulation of fluid-structure interaction.
Permanent Link: http://hdl.handle.net/11104/0266651