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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:274

Article

Bernard-Champmartin, Aude^1,2  De Vuyst, Florian¹ 

[1] CMLA ENS Cachan, Cachan, France

[2] ENS CACHAN, LRC MESO, F-94235 Cachan, France

关键词: Numerical method;    Multiphase flow;    Air-water flow;    Free boundary;    Interface capturing;    Compressible fluid;    Finite volume;    Lagrange-remap solver;    Solver for parallel computing;    Wave breaking;    Sloshing;    Impact problem;   

DOI  :  10.1016/j.jcp.2014.05.032

来源: Elsevier

【 摘 要 】

In 2002, Despres and Lagoutiere [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 Lagoutiere [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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free