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Article

Kučera, Václav ; Česenek, Jan
The numerical solution of compressible flows in time dependent domains. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 118-129
MSC: 76-xx | Zbl 05802251
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.
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