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Sequential Flux-Corrected Remapping for ALE Methods

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Pavel Váchal

    (Czech Technical University in Prague)

  • Richard Liska

    (Czech Technical University in Prague)

Abstract

A new FCT-based algorithm is presented for conservative, local bounds preserving interpolations, necessary in the remapping step of Arbitrary Lagrangian- Eulerian (ALE) simulations. To avoid overrestriction of high-order fluxes, caused by separate processing of variables, the method incorporates particular conservation laws incrementally. Contrary to popular a posteriori correction methods, it utilizes physical information about the modeled process already during the remapping step. Moreover, extension to multiple dimensions is trivial.

Suggested Citation

  • Pavel Váchal & Richard Liska, 2006. "Sequential Flux-Corrected Remapping for ALE Methods," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 671-679, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_65
    DOI: 10.1007/978-3-540-34288-5_65
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