Title
SPH accuracy improvement through the combination of a quasi-Lagrangian shifting transport velocity and consistent ALE formalisms.
Abstract
This paper addresses the accuracy of the weakly-compressible SPH method. Interpolation defects due to the presence of anisotropic particle structures inherent to the Lagrangian character of the Smoothed Particle Hydrodynamics (SPH) method are highlighted. To avoid the appearance of these structures which are detrimental to the quality of the simulations, a specific transport velocity is introduced and its inclusion within an Arbitrary Lagrangian Eulerian (ALE) formalism is described. Unlike most of existing particle disordering/shifting methods, this formalism avoids the formation of these anisotropic structures while a full consistency with the original Euler or Navier-Stokes equations is maintained. The gain in accuracy, convergence and numerical diffusion of this formalism is shown and discussed through its application to various challenging test cases.
Year
DOI
Venue
2016
10.1016/j.jcp.2016.02.039
J. Comput. Physics
Keywords
Field
DocType
Weakly-compressible SPH,Arbitrary Lagrangian Eulerian,Particle disordering,Smooth SPH pressure fields,SPH accuracy,SPH convergence
Convergence (routing),Smoothed-particle hydrodynamics,Mathematical optimization,Anisotropy,Interpolation,Euler's formula,Numerical diffusion,Eulerian path,Formalism (philosophy),Classical mechanics,Physics
Journal
Volume
Issue
ISSN
313
C
0021-9991
Citations 
PageRank 
References 
1
0.35
0
Authors
4
Name
Order
Citations
PageRank
G. C. O'Leary110.35
S. Marrone29410.35
D. Le Touzé3578.45
Matthieu De Leffe4132.71