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Flux-Vector Splitting for the Euler Equation

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Upwind and High-Resolution Schemes

Abstract

When approximating a hyperbolic system of conservation laws w t + {f(w)} t = 0 with so-called upwind differences, we must, in the first place, establish which way the wind blows. More precisely, we must determine in which direction each of a variety of signals moves through the computational grid. For this purpose, a physical model of the interaction between computational cells is needed; at present two such models are in use.

Research was supported under NASA Contract No. NAS1-15810 while the author was in residence at ICASE, NASA Langley Research Center, Hampton, VA 23665.

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References

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© 1997 Springer-Verlag Berlin Heidelberg

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van Leer, B. (1997). Flux-Vector Splitting for the Euler Equation. In: Hussaini, M.Y., van Leer, B., Van Rosendale, J. (eds) Upwind and High-Resolution Schemes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60543-7_5

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  • DOI: https://doi.org/10.1007/978-3-642-60543-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64452-8

  • Online ISBN: 978-3-642-60543-7

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