Počet záznamů: 1  

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

  1. 1. 0448613 - UT-L 2016 RIV US eng J - Článek v odborném periodiku
    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
    Grant CEP: GA ČR(CZ) GAP101/11/0207
    Institucionální podpora: RVO:61388998
    Klíčová slova: discontinuous Galerkin method * nonlinear elasticity * compressible viscous flow * fluid–structure interaction
    Kód oboru RIV: BI - Akustika a kmity
    Impakt faktor: 1.345, rok: 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.
    Trvalý link: http://hdl.handle.net/11104/0251415