An accurate multi-regime SPH scheme for barotropic flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:388

Article

Colle, A.^1,2  Limido, J.¹  Vila, J-R² 

[1] IMPETUS AFEA, 6 Rue Cers, F-31330 Grenade Sur Garonne, France

[2] Inst Natl Sci Appl Toulouse, Inst Math Toulouse, 135 Ave Rangueil, F-31400 Toulouse, France

关键词: Particle methods;    Smoothed particle hydrodynamics;    Arbitrary Lagrangian Eulerian;    Non-linear stability;    Consistency;    Tensile instability;   

DOI  :  10.1016/j.jcp.2019.03.028

来源: Elsevier

【 摘 要 】

This paper focuses on the use of a mesh-less numerical method to solve barotropic fluid flows: Smooth Particle Hydrodynamics (SPH). Such methods suffer from a severe lack of accuracy when evaluating state variables as the pressure field. SPH-ALE methods based on Riemann solvers significantly improve this evaluation but increase the scheme complexity and low-Mach issues are difficult to prevent. We propose an alternative scheme called gamma - SPH - ALE relying on the combination of the SPH-ALE formalism and a finite volume stabilizing low-Mach scheme. Applied to Monophasic Barotropic Euler Equations, its characteristics are detailed and evaluated through a nonlinear stability analysis highlighting CFL-like conditions on the scheme parameters. As far as we know, it is the first time such nonlinear analysis is performed on a SPH-ALE scheme. Finally, its implementation on several academic test cases reveals that the proposed scheme actually increases both stability and accuracy, in reduced computation time, with respect to SPH ALE Riemann Solvers. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free