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Second order accurate upwind solutions of the 2D steady Euler equations by the use of a defect correction method

Part of the Lecture Notes in Mathematics book series (LNM,volume 1228)

Abstract

In this paper a description is given of first and second order finite volume upwind schemes for the 2D steady Euler equations in generalized coordinates. These discretizations are obtained by projection-evolution stages, as suggested by Van Leer. The first order schemes can be solved efficiently by multigrid methods. Second order approximations are obtained by a defect correction method. In order to maintain monotone solutions, a limiter is introduced for the defect correction method.

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© 1986 Springer-Verlag

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Spekreijse, S.P. (1986). Second order accurate upwind solutions of the 2D steady Euler equations by the use of a defect correction method. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods II. Lecture Notes in Mathematics, vol 1228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072653

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  • DOI: https://doi.org/10.1007/BFb0072653

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17198-0

  • Online ISBN: 978-3-540-47372-5

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