Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5012084 | Computers & Fluids | 2016 | 13 Pages |
Abstract
We design a novel provably stable discontinuous Galerkin spectral element (DGSEM) approximation to solve systems of conservation laws on moving domains. To incorporate the motion of the domain, we use an arbitrary Lagrangian-Eulerian formulation to map the governing equations to a fixed reference domain. The approximation is made stable by a discretization of a skew-symmetric formulation of the problem. We prove that the discrete approximation is stable, conservative and, for constant coefficient problems, maintains the free-stream preservation property. We also provide details on how to add the new skew-symmetric ALE approximation to an existing discontinuous Galerkin spectral element code. Lastly, we provide numerical support of the theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
David A. Kopriva, Andrew R. Winters, Marvin Bohm, Gregor J. Gassner,