Accurate numerical methods for the collisional motion of (heated) granular flows

DOI10.1016/j.jcp.2004.06.023zbMath1288.76056OpenAlexW2131943337MaRDI QIDQ703749

Giuseppe Toscani, Lorenzo Pareschi, Francis Filbet

Publication date: 11 January 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.06.023

zbMATH Keywords

spectral methodsgranular gasesinelastic Boltzmann equationhomogeneous cooling

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Granular flows (76T25)

Related Items (11)

Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation ⋮ Fast spectral solution of the generalized Enskog equation for dense gases ⋮ A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources ⋮ A rescaling velocity method for dissipative kinetic equations. Applications to granular media ⋮ A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions ⋮ An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation ⋮ A fast spectral method for the inelastic Boltzmann collision operator and application to heated granular gases ⋮ Analysis of spectral methods for the homogeneous Boltzmann equation ⋮ Towards anH-theorem for granular gases ⋮ Numerical methods for kinetic equations ⋮ Fast algorithms for computing the Boltzmann collision operator

Uses Software

• Boltzmann

Cites Work

• On the Boltzmann equation for diffusively excited granular media
• Asymptotic properties of the inelastic Kac model
• Direct simulation of the uniformly heated granular Boltzmann equation.
• The granular phase diagram
• Moment equations for a granular material in a thermal bath
• Scaling solutions of inelastic Boltzmann equations with over-populated high energy tails
• Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions
• Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
• Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials
• High order numerical methods for the space non-homogeneous Boltzmann equation.
• Kinetic and hydrodynamic models of nearly elastic granular flows
• Modeling and computational methods for kinetic equations
• On some properties of kinetic and hydrodynamic equations for inelastic interactions.
• Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
• One-dimensional kinetic models of granular flows
• A Fourier spectral method for homogeneous boltzmann equations
• Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit
• Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
• Nontrivial velocity distributions in inelastic gases
• KINETICS MODELS OF INELASTIC GASES
• Shear flow of a granular material
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