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Communication Dans Un Congrès Année : 2016

An implicit high order discontinuous Galerkin level set method for two-phase flow problems

Résumé

An implicit high order time (BDF) and polynomial degree discontinuous Galerkin (DG) level set method is presented in this talk. The major advantage of this new approach is an accurate mass conservation during the convection of the level set function, thanks to the implicit method. Numerical experiments are presented for the Zalesak and the Leveque test cases. The convergence rates versus time and space are investigated for both BDF and DG high orders. The capture of the zero level set interface is then improved by using an auto-adaptive mesh procedure. The problem is approximated by using the discontinuous Galerkin method for both the level set function, the velocity and the pressure fields.
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Dates et versions

hal-01323548 , version 1 (30-05-2016)

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  • HAL Id : hal-01323548 , version 1

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Mai Ta, Franck Pigeonneau, Pierre Saramito. An implicit high order discontinuous Galerkin level set method for two-phase flow problems. ICMF-2016 – 9th International Conference on Multiphase Flow, May 2016, Florence, Italy. ⟨hal-01323548⟩
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