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Communication dans un congrès

The convected Level Set method with anisotropic mesh adaptation for interface calculation in multiphase flow and fluid structure interaction

Abstract : Coupled problem involving several domains required to describe accurately the interfaces while preserving a certain flexibility. The object of this paper is to focus on the exhaustive usage of the Level Set method combined with anisotropic mesh adaptation to represent various surfaces and interfaces within a general monolithic approach for coupling. We introduce first the convected Level Set method using a convective time derivative with the redistancing Hamilton Jacobi equation. Then, the anisotropic mesh adaptation framework will be introduced in the context of a local mesh generation method based on mesh topology modification and a minimal volume principle. In this case one needs to account for a metric field when length and volume evaluations are required. Convincing results have been already obtained in the past years by deriving the metric field from a posteriori interpolation error analysis. We propose here a different route to get a metric field directly at the node of the mesh, by introducing the length distribution tensor and an edge based error analysis. Applications combine a stabilized Finite Element flow solver with the Level Set for multiphase flow calculation within a monolithic approach. The a posteriori error estimation is applied to a modification of the Level Set scalar field, giving automatically the anisotropic mesh refinement in the interface region. The potential of this approach will be shown on several examples including free surface calculation, fluid buckling simulation, fluid structure interaction and moving interface problems.
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Communication dans un congrès
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00676611
Contributeur : Magalie Prudon <>
Soumis le : lundi 5 mars 2012 - 16:54:07
Dernière modification le : jeudi 24 septembre 2020 - 17:22:55

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  • HAL Id : hal-00676611, version 1

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Thierry Coupez. The convected Level Set method with anisotropic mesh adaptation for interface calculation in multiphase flow and fluid structure interaction. The fourth conference on Computational Methods for Coupled Problems in Science and Engineering (Coupled 2011), Jun 2011, Island of Kos, Greece. ⟨hal-00676611⟩

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