Paper Info
Title
An adaptive SPH method for strong shocks
Abstract
We propose an alternative SPH scheme to usual SPH Godunov-type methods for simulating supersonic compressible flows with sharp discontinuities. The method relies on an adaptive density kernel estimation (ADKE) algorithm, which allows the width of the kernel interpolant to vary locally in space and time so that the minimum necessary smoothing is applied in regions of low density. We have performed a von Neumann stability analysis of the SPH equations for an ideal gas and derived the corresponding dispersion relation in terms of the local width of the kernel. Solution of the dispersion relation in the short wavelength limit shows that stability is achieved for a wide range of the ADKE parameters. Application of the method to high Mach number shocks confirms the predictions of the linear analysis. Examples of the resolving power of the method are given for a set of difficult problems, involving the collision of two strong shocks, the strong shock-tube test, and the interaction of two blast waves.
Year
DOI
Venue
2009
10.1016/j.jcp.2009.04.041
J. Comput. Physics
Keywords
Field
DocType
local width,ideal compressible flows,numerical methods,sph: godunov’s method,sph equation,adke parameter,lagrangian: particle method,adaptive density kernel estimation,usual sph godunov-type method,alternative sph scheme,linear analysis,strong shock,dispersion relation,adaptive sph method,kernel interpolant,corresponding dispersion relation,numerical method,shock tube,compressible flow,stability analysis
Mathematical analysis,Discontinuity (linguistics),Godunov's scheme,Smoothing,Compressible flow,Numerical analysis,Mathematics,Von Neumann stability analysis,Kernel density estimation,Ideal gas
Journal
Volume
Issue
ISSN
228
16
Journal of Computational Physics
Citations 
PageRank 
References 
4
0.84
2
Authors
3
Name
Order
Citations
PageRank
Leonardo Di G. Sigalotti1185.41
Hender López2184.73
Leonardo Trujillo340.84