Compact Third-Order Logarithmic Limiting for Nonlinear Hyperbolic Conservation Laws

M. Čada (), M. Torrilhon () and R. Jeltsch ()
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M. Čada: ETH-Zürich HG, Seminar for Applied Mathematics
M. Torrilhon: Princeton University, Applied and Computational Mathematics
R. Jeltsch: ETH-Zurich, Seminar for Applied Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 347-354 from Springer

Abstract: To achieve high order accurate numerical approximation to nonlinear smooth functions, we employ and generalize the idea of double-logarithmic reconstruction for the numerical solution of hyperbolic equations. The result is a class of efficient third-order schemes with a compact stencil. These methods handle discontinuities as well as local extrema within the standard semi-discrete MUSCL algorithm using only a single limiter function.

Keywords: Limiter Function; Local Extremum; Point Stencil; Linear Advection Equation; Triangle Wave (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_30

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DOI: 10.1007/978-3-540-75712-2_30

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