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, Volume 95, Supplement 1, pp 343–361 | Cite as

Numerical simulation of fluid–structure interaction of compressible flow and elastic structure

  • Jaroslava Hasnedlová
  • Miloslav Feistauer
  • Jaromír Horáček
  • Adam Kosík
  • Václav Kučera
Article

Abstract

The paper is concerned with fluid–structure interaction problem of compressible flow and elastic structure in 2D domains with a special interest in medical applications to airflow in human vocal folds. The viscous flow in a time dependent domain is described by the Navier–Stokes equations written with the aid of the Arbitrary Lagrangian–Eulerian (ALE) method. The equations of motion for elastic deformations of the human vocal folds are coupled with the equations for the fluid flow using either loose or strong coupling. The space discretization of the flow problem is carried out by the discontinuous Galerkin finite element method. For the time discretization we use a semi-implicit scheme. In order to derive the space-time discretization of the elastic body problem, we apply the finite element method using continuous piecewise linear elements. For the time discretization we use the Newmark scheme. Results of numerical experiments are presented.

Keywords

Fluid–structure interaction Compressible flow ALE method Discontinuous Galerkin finite element method Coupling algorithms 

Mathematics Subject Classification (2000)

74F10 65M60 65M12 

Notes

Acknowledgments

This work was supported by the grants No. P101/11/0207 (J. Horáček) and 201/08/0012 (M. Feistauer, V. Kučera) of the Czech Science Foundation, and by the grants SVV-2012-265316 and GAChU 549912 financed by the Charles University in Prague (J. Hasnedlová-Prokopová and A. Kosík).

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Copyright information

© Springer-Verlag Wien 2012

Authors and Affiliations

  • Jaroslava Hasnedlová
    • 1
  • Miloslav Feistauer
    • 1
  • Jaromír Horáček
    • 2
  • Adam Kosík
    • 1
  • Václav Kučera
    • 1
  1. 1.Department of Numerical Mathematics, Faculty of Mathematics and PhysicsCharles UniversityPraha 8Czech Republic
  2. 2.Institute of ThermomechanicsThe Academy of Sciences of the Czech RepublicPraha 8Czech Republic

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