Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Incompressible and Compressible Viscous Flow with Low Mach Numbers
M. Balázsová, M. Feistauer, P. Sváček, J. Horáček
Abstract:
In this paper we compare incompressible flow and low Mach number compressible viscous flow. Incompressible Navier Stokes equations were solved by the classical finite element method and compressible Navier-Stokes equations were treated with the aid of discontinuous Galerkin method in space and backward difference method in time. We present numerical results for a flow in a channel which represents a simplified model of the human vocal tract. Presented numerical results give a good correspondence between the the incompressible flow and the compressible flow with low Mach numbers.
Keywords:
compressible Navier-Stokes equations, incompressible Navier-Stokes equations, discontinuous Galerkin method, finite element method,low Mach number flow

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2017.002

In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 7-16 ISBN 978-80-87012-61-1 (Print) ISSN 2336-5781 (Print)