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

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • 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))

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.

Suggested Citation

  • F. Völker & R. Vilsmeier & D. Hänel, 2003. "A Local Level-Set Concept for Front Tracking on Arbitrary Grids," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 909-918, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-55711-8_86
    DOI: 10.1007/978-3-642-55711-8_86
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