Spectral properties of the SPH Laplacian operator

DOI10.1016/J.CAMWA.2018.02.023zbMath1419.65142OpenAlexW2793904832MaRDI QIDQ2001317

Antoine Joly, Alexis Hérault, Damien Violeau, Agnès Leroy

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.02.023

zbMATH Keywords

eigenvaluesspectrumconditioningLaplacianSPH

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Estimates of eigenvalues in context of PDEs (35P15) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

On the convergence of the solutions to the integral SPH heat and advection-diffusion equations: theoretical analysis and numerical verification ⋮ A conservative SPH scheme using exact projection with semi-analytical boundary method for free-surface flows ⋮ Towards pseudo-spectral incompressible smoothed particle hydrodynamics (ISPH) ⋮ Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling ⋮ Calculating the smoothing error in SPH

Cites Work

• Unnamed Item
• On the maximum time step in weakly compressible SPH
• Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH
• Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves
• Particle packing algorithm for SPH schemes
• Optimal time step for incompressible SPH
• An SPH projection method
• Modeling low Reynolds number incompressible flows using SPH
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Theory and Applications of Smoothed Particle Hydrodynamics
• Numerical Linear Algebra

This page was built for publication: Spectral properties of the SPH Laplacian operator