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

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • N. Villedieu

    (Von Karman Institute)

  • L. Koloszar

    (Von Karman Institute)

  • T. Quintino

    (Von Karman Institute)

  • H. Deconinck

    (Von Karman Institute)

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.

Suggested Citation

  • N. Villedieu & L. Koloszar & T. Quintino & H. Deconinck, 2010. "Unsteady High Order Residual Distribution Schemes with Applications to Linearised Euler Equations," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 911-919, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_98
    DOI: 10.1007/978-3-642-11795-4_98
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