Abstract
In this paper we formulate a high order algorithm for hyperbolic conservation laws using a combination of Fourier expansions and unstructured spectral/ hp elements. The unstructured part of the algorithm is formulated using a discontinuous Galerkin approximation. The conservation properties of the unstructured algorithm using a variable polynomial order are examined and an orthogonal projection for the normal flux is constructed to ensure conservation. Examples of Euler flow over a circular bump and unsteady Navier-Stokes flow in a triangular duct are examined.
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© 1999 Springer Basel AG
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Sherwin, S. (1999). A High Order Fourier/Unstructured Discontinuous Galerkin Method for Hyperbolic Conservation Laws. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_38
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DOI: https://doi.org/10.1007/978-3-0348-8724-3_38
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9744-0
Online ISBN: 978-3-0348-8724-3
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