An unsteady numerical solution of viscous compressible flows in a channel for low Mach numbers

Punčochářová, Petra and Kozel, Karel and Horáček, Jaromír and Fürst, Jiří (2007) An unsteady numerical solution of viscous compressible flows in a channel for low Mach numbers. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 8 (2). pp. 175-191. ISSN 1586-2070

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Abstract

The work deals with numerical solution of unsteady flow with low Mach numbers in a two-dimensional channel. The flow is described by the unsteady Navier-Stokes equations (laminar) for the compressible fluid. The unsteady flow is caused by a prescribed time periodical motion of a part of the channel wall, which is changing the shape. The numerical solution is realized by finite volume method and the explicit predictor-corrector MacCormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. The moved grid of quadrilateral cells is considered in the form of conservation laws using Arbitrary Lagrangian-Eulerian method. Some numerical results of the unsteady flows in the symmetric channel are presented for inlet Mach number M at infinity = 0.02, Reynolds number Re approximately 10^3 and for frequency of the wall motion 20 Hz. The numerical results were obtained using special software developed by the authors.

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