Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 274, Issue -, Pages 19-49Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2014.05.032
Keywords
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
Funding
- LRC MESO
- CBDif-Fr [ANR-08-BLAN-0333-01]
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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.
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