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Erschienen in:
2000 | OriginalPaper | Buchkapitel
A Discontinuous Galerkin Method in Moving Domains
verfasst von : I. Lomtev, R. M. Kirby, G. E. Karniadakis
Erschienen in: Discontinuous Galerkin Methods
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We present a matrix-free discontinuous Galerkin method for simulating compressible viscous flows in two- and three-dimensional moving domains in an Arbitrary Lagrangian Eulerian (ALE) framework. Spatial discretization is based on standard structured and unstructured grids but using an orthogonal spectral hierarchical basis. The method is third-order accurate in time, and converges exponentially fast in space for smooth solutions. We also report on open issues related to quadrature crimes and over-integration.