Unsteady High Order Residual Distribution Schemes with Applications to Linearised Euler Equations

N. Villedieu (), L. Koloszar (), T. Quintino () and H. Deconinck ()
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N. Villedieu: Von Karman Institute
L. Koloszar: Von Karman Institute
T. Quintino: Von Karman Institute
H. Deconinck: Von Karman Institute

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 911-919 from Springer

Abstract: Abstract This article is dedicated to the design of high order residual distributive schemes for unsteady problems. We use a space-time strategy, which means that the time is considered as a third dimension. To achieve high order both in space and in time, we use prismatic elements having (k+1) levels, each level being a P k element. The first section is dedicated to the deign of space-time schemes on such elements. The second section presents the performances on different type of problems. In particular, we look at a discontinuous problem on Euler equations and two problems of propagation of sound using Linearised Euler equations.

Keywords: Euler Equation; Gauss Pulse; Quadratic Element; Unsteady Problem; Prismatic Element (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_98

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DOI: 10.1007/978-3-642-11795-4_98

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