Numerical simulation of the interaction between a nonlinear elastic structure and compressible flow by the discontinuous Galerkin method

0448613 - ÚT 2016 RIV US eng J - Journal Article
Kosík, Adam - Feistauer, M. - Hadrava, Martin - Horáček, Jaromír
Numerical simulation of the interaction between a nonlinear elastic structure and compressible flow by the discontinuous Galerkin method.
Applied Mathematics and Computation. Roč. 267, September (2015), s. 382-396. ISSN 0096-3003. E-ISSN 1873-5649
R&D Projects: GA ČR(CZ) GAP101/11/0207
Institutional support: RVO:61388998
Keywords : discontinuous Galerkin method * nonlinear elasticity * compressible viscous flow * fluid–structure interaction
Subject RIV: BI - Acoustics
Impact factor: 1.345, year: 2015
http://www.sciencedirect.com/science/article/pii/S0096300315002453/pdfft?md5=02d46bc730e3a7fb8a5008aaab1da786&pid=1-s2.0-S0096300315002453-main.pdf

This paper is concerned with the numerical simulation of the interaction of compressible viscous flow with a nonlinear elastic structure. The flow is described by the compressible Navier–Stokes equations written in the arbitrary Lagrangian–Eulerian (ALE) form. For the elastic deformation the St. Venant–Kirchhoff model is used. In the space discretization the discontinuous Galerkin finite element method (DGM) is applied both for the flow problem in a time-dependent domain and for the dynamic nonlinear elasticity system. We show that the DGM is applicable to the discretization of both problems. As a new result we particularly present the application of the DGM to the discretization of the dynamic nonlinear elasticity problem and the DGM solution of the fluid–structure interaction (FSI). The applicability of the developed technique is demonstrated by several numerical experiments. The main novelty of the paper is the application of the DGM to the FSI problem using the model of compressible flow coupled with nonlinear elasto-dynamic system.
Permanent Link: http://hdl.handle.net/11104/0251415