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High Resolution Conjugate Filters for Hyperbolic Conservation Laws

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

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  • Y. C. Zhou

    (Michigan State University, Department of Mathematics)

  • G. W. Wei

    (Michigan State University, Department of Mathematics)

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.

Suggested Citation

  • Y. C. Zhou & G. W. Wei, 2003. "High Resolution Conjugate Filters for Hyperbolic Conservation Laws," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 951-957, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_90
    DOI: 10.1007/978-3-642-55711-8_90
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