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Journal Articles Journal of Computational Physics Year : 2014

A low diffusive Lagrange-remap scheme for the simulation of violent air–water free-surface flows

Abstract

In 2002, Després and Lagoutière [17] proposed a low-diffusive advection scheme for pure transport equation problems, which is particularly accurate for step-shaped solutions, and thus suited for interface tracking procedure by a color function. This has been extended by Kokh and Lagoutière [28] in the context of compressible multifluid flows using a five-equation model. In this paper, we explore a simplified variant approach for gas–liquid three-equation models. The Eulerian numerical scheme has two ingredients: a robust remapped Lagrange solver for the solution of the volume-averaged equations, and a low diffusive compressive scheme for the advection of the gas mass fraction. Numerical experiments show the performance of the computational approach on various flow reference problems: dam break, sloshing of a tank filled with water, water–water impact and finally a case of Rayleigh–Taylor instability. One of the advantages of the present interface capturing solver is its natural implementation on parallel processors or computers.
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Dates and versions

hal-01958912 , version 1 (18-12-2018)

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Aude Bernard-Champmartin, Florian de Vuyst. A low diffusive Lagrange-remap scheme for the simulation of violent air–water free-surface flows. Journal of Computational Physics, 2014, 274, pp.19-49. ⟨10.1016/j.jcp.2014.05.032⟩. ⟨hal-01958912⟩
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