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Title: The numerical solution of compressible flows in time dependent domains (English)
Author: Kučera, Václav
Author: Česenek, Jan
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 1-6, 2008
Issue: 2008
Pages: 118-129
Category: math
Summary: This work is concerned with the numerical solution of inviscid compressible fluid flow in moving domains. Specifically, we assume that the boundary part of the domain (impermeable walls) are time dependent. We consider the Euler equations, which describe the movement of inviscid compressible fluids. We present two formulations of the Euler equations in the ALE (Arbitrary Lagrangian-Eulerian) form. These two formulations are discretized in space by the discontinuous Galerkin method. We apply a semi-implicit linearization with respect to time to obtain a numerical scheme requiring the solution of only one linear system on each time level. We apply the method to the compressible flow around a moving (vibrating) profile. ()
MSC: 76-xx
idZBL: Zbl 05802251
Date available: 2015-09-08T11:35:28Z
Last updated: 2023-06-05
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