A low diffusive Lagrange-Remap scheme for the simulation of violent air-water free-surface flows
Pré-print du CMLA 2013-03 - version du 11 mars 2013
Documents à télécharger :
- CMLA2013-03.pdf (2749 Ko)
Auteurs : Aude Bernard-Champmartin, Florian De Vuyst
Abstract :
In 2002, Desprès and Lagoutière [Desprès and Lagoutière (2002)] 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 [Kokh and Lagoutière (2010)] 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 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.
Keywords :
numerical method, multiphase flow, air-water flow, free boundary, interface capturing,
compressible fluid, finite volume, Lagrange-remap solver, advection scheme, parallel computing, many-core, GPU, numerical analysis, wave breaking, sloshing, impact problem
In 2002, Desprès and Lagoutière [Desprès and Lagoutière (2002)] 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 [Kokh and Lagoutière (2010)] 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 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 advantage of the present interface capturing solver is its natural implementation on parallel processors or computers. In particular, we are confident on its implementation on Graphics Processing Units (GPU) with high speedups.
One of the advantage of the present interface capturing solver is its natural implementation on parallel processors or computers. In particular, we are confident on its implementation on Graphics Processing Units (GPU) with high speedups.
Keywords :
numerical method, multiphase flow, air-water flow, free boundary, interface capturing,
compressible fluid, finite volume, Lagrange-remap solver, advection scheme, parallel computing, many-core, GPU, numerical analysis, wave breaking, sloshing, impact problem
- Type :
- Publication