On numerical solution of compressible flow in time-dependent domains

0376408 - ÚT 2013 RIV CZ eng J - Journal Article
Feistauer, M. - Horáček, Jaromír - Kučera, V. - Prokopová, Jaroslava
On numerical solution of compressible flow in time-dependent domains.
Mathematica Bohemica. Roč. 137, č. 1 (2012), s. 1-16. ISSN 0862-7959
R&D Projects: GA MŠMT OC09019
Institutional research plan: CEZ:AV0Z20760514
Keywords : compressible Navier-Stokes equations * arbitrary Lagrangian-Eulerian method * discontinuous Galerkin finite element method * interior and boundary penalty
Subject RIV: BI - Acoustics

The paper deals with numerical simulation of a compressible flow in time-dependent 2D domains with a special interest in medical applications to airflow in the human vocal tract. The mathematical model of this process is described by the compressible Navier-Stokes equations. For the treatment of the time-dependent domain, the arbitrary Lagrangian-Eulerian (ALE) method is used. The discontinuous Galerkin finite element method (DGFEM) is used for the space semidicretization of the governing equations in the ALE formulation. The time dicretization is carried out with the aid of a linearized semi-implicit method with good stability properties. We present some computational results for the flow in a channel, representing a model of glottis and a part of the vocal tract, with a prescribed motion of the channel walls at the position of vocal folds.
Permanent Link: http://hdl.handle.net/11104/0208815