On numerical solution of compressible flow in time-dependent domains

Miloslav Feistauer; Jaromír Horáček; Václav Kučera; Jaroslava Prokopová

Mathematica Bohemica (2012)

  • Volume: 137, Issue: 1, page 1-16
  • ISSN: 0862-7959

Abstract

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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 semidiscretization of the governing equations in the ALE formulation. The time discretization 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.

How to cite

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Feistauer, Miloslav, et al. "On numerical solution of compressible flow in time-dependent domains." Mathematica Bohemica 137.1 (2012): 1-16. <http://eudml.org/doc/246681>.

@article{Feistauer2012,
abstract = {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 semidiscretization of the governing equations in the ALE formulation. The time discretization 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.},
author = {Feistauer, Miloslav, Horáček, Jaromír, Kučera, Václav, Prokopová, Jaroslava},
journal = {Mathematica Bohemica},
keywords = {compressible Navier-Stokes equations; arbitrary Lagrangian-Eulerian method; discontinuous Galerkin finite element method; interior and boundary penalty; semi-implicit time discretization; biomechanics of voice; compressible Navier-Stokes equations; interior and boundary penalty; semi-implicit time discretization; biomechanics of voice},
language = {eng},
number = {1},
pages = {1-16},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On numerical solution of compressible flow in time-dependent domains},
url = {http://eudml.org/doc/246681},
volume = {137},
year = {2012},
}

TY - JOUR
AU - Feistauer, Miloslav
AU - Horáček, Jaromír
AU - Kučera, Václav
AU - Prokopová, Jaroslava
TI - On numerical solution of compressible flow in time-dependent domains
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 1
SP - 1
EP - 16
AB - 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 semidiscretization of the governing equations in the ALE formulation. The time discretization 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.
LA - eng
KW - compressible Navier-Stokes equations; arbitrary Lagrangian-Eulerian method; discontinuous Galerkin finite element method; interior and boundary penalty; semi-implicit time discretization; biomechanics of voice; compressible Navier-Stokes equations; interior and boundary penalty; semi-implicit time discretization; biomechanics of voice
UR - http://eudml.org/doc/246681
ER -

References

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