Adaptive Time Integration for Hyperbolic Conservation Equations

William J. Rider (), Len G. Margolin () and James R. Kamm ()
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William J. Rider: Los Alamos National Laboratory
Len G. Margolin: Los Alamos National Laboratory
James R. Kamm: Los Alamos National Laboratory

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 841-850 from Springer

Abstract: 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).

Keywords: Alamos National Laboratory; Time Integration Method; Scalar Wave Equation; Approximate Inertial Manifold; Post Shock Oscillation (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_79

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DOI: 10.1007/978-3-642-55711-8_79

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