Riemann-Solver Free Schemes

Tim Kröger and Sebastian Noelle ()
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Tim Kröger: RWTH Aachen, Institut für Geometrie und Praktische Mathematik
Sebastian Noelle: RWTH Aachen, Institut für Geometrie und Praktische Mathematik

A chapter in Analysis and Numerics for Conservation Laws, 2005, pp 429-451 from Springer

Abstract: Summary In this article, we use the recently developed framework of state and flux decompositions to point out some interesting connections and differences between several Riemann-solver free numerical approaches for systems of hyperbolic conservation laws. We include a numerical comparison of Fey's Method of Transport with a second order version of the HLL scheme and prove an interesting property of the former scheme for linear waves contained in the equations of ideal gas dynamics.

Keywords: systems of conservation laws; Fey's Method of Transport; Euler equations; kinetic schemes; bicharacteristic theory; state decompositions; flux decompositions; exact and approximate evolution operators; quadrature rules; numerical comparison; HLL scheme (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27907-5_19

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DOI: 10.1007/3-540-27907-5_19

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