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Stability of compact upwind-biased finite-difference schemes forfeedback-coupled advection equations

  1. A. Jocksch1,*,
  2. N. A. Adams2,
  3. L. Kleiser1

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410244

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PAMM

PAMM

Volume 4, Issue 1, pages 526–527, December 2004

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How to Cite

Jocksch, A., Adams, N. A. and Kleiser, L. (2004), Stability of compact upwind-biased finite-difference schemes forfeedback-coupled advection equations. Proc. Appl. Math. Mech., 4: 526–527. doi: 10.1002/pamm.200410244

Author Information

  1. 1

    Institute of Fluid Dynamics, ETH Zürich

  2. 2

    Institut für Strömungsmechanik, Technische Universität Dresden

*Phone: +41 1 632 5273, Fax: +41 1 632 1147

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

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Abstract

A fifth-order compact upwind-biased finite-difference scheme has been developed which is asymptotically stable when applied to linear 2 × 2 systems. This scheme was optimised with respect to wave propagation through the boundaries. In order to achieve asymptotic stability for such systems a sufficient stability condition, based on the Nyquist criterion of linear system theory, was included in the optimisation as additional constraint. The evaluation of the stability condition was done numerically. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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