Discontinuous Galerkin solution of compressible flow in time-dependent domains

M. Feistauer, V. Kučera and J. Prokopová

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 8, 1612-1623

Abstract: This work is concerned with the simulation of inviscid compressible flow in time-dependent domains. We present an arbitrary Lagrangian–Eulerian (ALE) formulation of the Euler equations describing compressible flow, discretize them in space by the discontinous Galerkin method and introduce a semi-implicit linearized time stepping for the numerical solution of the complete problem. Special attention is paid to the treatment of boundary conditions and the limiting procedure avoiding the Gibbs phenomenon in the vicinity of discontinuities. The presented computational results show the applicability of the developed method.

Keywords: Compressible flow; Time-dependent domain; Fluid–structure interaction; ALE method; Discontinuous Galerkin method; Shock capturing; Flow in channels with moving walls (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:8:p:1612-1623

DOI: 10.1016/j.matcom.2009.01.020

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