A Local Level-Set Concept for Front Tracking on Arbitrary Grids

F. Völker (), R. Vilsmeier () and D. Hänel ()
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F. Völker: University of Duisburg, Institute of Combustion and Gasdynamics (IVG)
R. Vilsmeier: University of Duisburg, Institute of Combustion and Gasdynamics (IVG)
D. Hänel: University of Duisburg, Institute of Combustion and Gasdynamics (IVG)

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 909-918 from Springer

Abstract: Abstract This paper proposes a general multi-dimensional front tracking concept for arbitrary physical problems. The tracking method is based on the level-set approach with a restricted dynamic definition range in the vicinity of the fronts. Special attention is drawn to the problem of the classical level-set method, i.e. accuracy issues and topological restrictions. In this concern, a less sensitive time integration is introduced and the problem of interacting discontinuities is addressed. The concept is integrated in the basic modular Finite-Volume solution package MOUSE [1] for systems of conservation laws on arbitrary grids.

Keywords: Front Shock; Propagation Speed; Unstructured Grid; Inviscid Flow; Slope Condition (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-642-55711-8_86

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