LUDDENS, Francky; BERGMANN, Michel; WEYNANS, Lisl

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LUDDENS, Francky
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

BERGMANN, Michel
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

WEYNANS, Lisl
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

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Ce document a été publié dans

2014-11

Résumé en anglais

In the context of numerical simulations of multiphysics flows, accurate tracking of an interface and consistent computation of its geometric properties are crucial. In this paper, we investigate a level set technique that satisfies these requirements, even for long times computations. The method is developed in a finite differences framework on cartesian grids. As in usual level set strategies, reinitialization steps are involved. Several reinitialization algorithms are reviewed and mixed to design an accurate and fast reinitialization procedure. When coupled with a time evolution of the interface, the reinitialization procedure is performed only when there are too large deformations of the isocontours. This strategy limits the number of reinitialization steps and shows a good balance between accuracy and computational cost. Numerical results compare well with usual level set strategies and confirm the necessity of the reinitialization procedure, together with a limited number of reinitialization steps.< Réduire

Mots clés en anglais

level set

redistanciation

Eikonal equation

finite differences

two-phase flows

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Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251