High Resolution Conjugate Filters for Hyperbolic Conservation Laws

Y. C. Zhou () and G. W. Wei ()
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Y. C. Zhou: Michigan State University, Department of Mathematics
G. W. Wei: Michigan State University, Department of Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 951-957 from Springer

Abstract: Abstract A new realization of the conjugate filter oscillation (CFOR) scheme based on the Hermite kernel is proposed for hyperbolic conservation laws. Such a realization is found to give a nearly optimal resolution and a better approximation to the low-pass fitter than the previous kernels. Typical one- and two-dimensional numerical examples, with or without shocks, are employed to explore the utility, test the resolution and examine the stability of the present CFOR-Hermite scheme. Small ratio of point-per-wavelength (PPW) is achieved in advancing a wavepacket and in resolving the interaction of shock/entropy wave. The present results for the advection of an isotropic vortex compare very favorably to those in the literature.

Keywords: High Frequency Oscillation; Spurious Oscillation; High Frequency Wave; Entropy Wave; Compact Finite Difference Scheme (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_90

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DOI: 10.1007/978-3-642-55711-8_90

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