Paper Info
Title
Adaptive kernel estimation and SPH tensile instability
Abstract
We propose an alternative method to remove the tensile instability in standard SPH simulations of a fluid. The method relies on an adaptive density kernel estimation (ADKE) algorithm, which allows the width of the kernel interpolant to vary locally in such a way that only the minimum necessary smoothing is applied to the data. By means of a linear perturbation analysis of the SPH equations for a heat-conducting, viscous, van der Waals fluid, we derive the corresponding dispersion relation. Solution of the dispersion relation in the short wavelength limit shows that the tensile instability is effectively removed for a wide range of the ADKE parameters. Application of the method to the formation of equilibrium liquid drops confirms the analytical results of the linear stability analysis. Examples of the resolving power of the method are also given for the nonlinear oscillations of an excited drop and the Sedov blast wave problem.
Year
DOI
Venue
2008
10.1016/j.camwa.2007.03.007
Computers & Mathematics with Applications
Keywords
Field
DocType
adaptive kernel estimation,sph tensile instability,kernel functions,stability,adke parameter,sph equation,adaptive density kernel estimation,linear stability analysis,particle methods,linear perturbation analysis,dispersion relation,fluid dynamics,alternative method,numerical-methods,tensile instability,kernel interpolant,corresponding dispersion relation,van der waals,heat conduction,perturbation analysis,numerical method,numerical methods,kernel function
Blast wave,Mathematical optimization,Dispersion relation,Mathematical analysis,Instability,Smoothing,Fluid dynamics,Numerical analysis,Mathematics,Kernel (statistics),Kernel density estimation
Journal
Volume
Issue
ISSN
55
1
Computers and Mathematics with Applications
Citations 
PageRank 
References 
3
0.88
2
Authors
3
Name
Order
Citations
PageRank
Leonardo Di G. Sigalotti1185.41
Hender López2184.73
G SigalottiLeonardo Di330.88