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A “box-scheme” for the euler equations

  • Numerical Analysis
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Nonlinear Hyperbolic Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1270))

Abstract

For the solution of first order partial differential equations with boundary conditions a box scheme is introduced based on a compact discretization in space and the use of the characteristic directions for the integration in time. The scheme is first developped for a non-linear scalar conservation law. Then it is presented for the equations of gas dynamics in a domain of varying area. Applications to the shock tube and to a steady flow in a nozzle exhibit the major features of the scheme. Preliminary results in two-dimensions seem to indicate that the extension is worthy of interest.

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Author information

Authors and Affiliations

  1. MATRA, 37 avenue Louis Bréguet, 78140, Velizy

    Jean-Jacques Chattot

  2. Université Pierre et Marie Curie (Paris 6), 4 Place Jussieu, 75230, Paris Cedex 05

    Sylvie Malet

Authors
  1. Jean-Jacques Chattot
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  2. Sylvie Malet
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Editor information

Claude Carasso Denis Serre Pierre-Arnaud Raviart

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© 1987 Springer-Verlag

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Chattot, JJ., Malet, S. (1987). A “box-scheme” for the euler equations. In: Carasso, C., Serre, D., Raviart, PA. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078319

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  • DOI: https://doi.org/10.1007/BFb0078319

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18200-9

  • Online ISBN: 978-3-540-47805-8

  • eBook Packages: Springer Book Archive

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