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Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 29))

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Abstract

In this paper we shall discuss some problems which may arise in the context of dimensional splitting for conservation laws. We shall study a directionally adapted scheme which has better stability properties at least for anisotropic scalar equations in 2-D. This algorithm can be generalized to the non-linear unsteady Euler equations in 2-D and can be used to reduce the system locally to a scalar equation in 2-D.

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Pieter Wesseling

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© 1990 Springer Fachmedien Wiesbaden

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Kröner, D. (1990). About splitting and non-splitting schemes for conservation laws in 2-D. In: Wesseling, P. (eds) Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 29. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13975-1_27

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  • DOI: https://doi.org/10.1007/978-3-663-13975-1_27

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07629-0

  • Online ISBN: 978-3-663-13975-1

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