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Adaptive Time Integration for Hyperbolic Conservation Equations

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • William J. Rider

    (Los Alamos National Laboratory)

  • Len G. Margolin

    (Los Alamos National Laboratory)

  • James R. Kamm

    (Los Alamos National Laboratory)

Abstract

We introduce a fundamentally new time integration method for hyperbolic conservation laws based on self-adaptivity of the temporal method itself. The adaptivity is based upon the smoothness of the solution measured locally in time. Our approach can be contrasted with the usual global selection of a time integration methods and error-based time step selection methodology. A challenge to this approach is maintaining the adaptivity and the conservation form. These methods are challenged with several standard problems as well as high-resolution experimental data of shock-driven mixing (Richtmyer-Meshkov).

Suggested Citation

  • William J. Rider & Len G. Margolin & James R. Kamm, 2003. "Adaptive Time Integration for Hyperbolic Conservation Equations," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 841-850, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_79
    DOI: 10.1007/978-3-642-55711-8_79
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