Direct simulation of the uniformly heated granular Boltzmann equation.

DOI10.1016/j.mcm.2004.02.047zbMath1088.35049OpenAlexW2042542512MaRDI QIDQ815389

Wolfgang Wagner, Sergej Rjasanow, Irene Martínez Gamba

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.02.047

zbMATH Keywords

Monte Carlo methodinelastic Boltzmann equationgranular mattersteady-state solution

Mathematics Subject Classification ID

Related Items (13)

Fast spectral solution of the generalized Enskog equation for dense gases ⋮ Convergence and Error Estimates for the Lagrangian-Based Conservative Spectral Method for Boltzmann Equations ⋮ Spectral Solvers to Non-Conservative Transport for Non-Linear Interactive Systems of Boltzmann Type ⋮ A random cloud model for the Wigner equation ⋮ A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions ⋮ Numerical studies of a granular gas in a host medium ⋮ A fast spectral method for the inelastic Boltzmann collision operator and application to heated granular gases ⋮ A stochastic algorithm without time discretization error for the Wigner equation ⋮ Spectral computation of low probability tails for the homogeneous Boltzmann equation ⋮ On steady distributions of kinetic models of conservative economies ⋮ Current large deviations in a driven dissipative model ⋮ Accurate numerical methods for the collisional motion of (heated) granular flows ⋮ Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states

Cites Work

• Unnamed Item
• On the Boltzmann equation for diffusively excited granular media
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• A non-Maxwellian steady distribution for one-dimensional granular media
• The mathematical theory of dilute gases
• Stochastic particle approximations for generalized Boltzmann models and convergence estimates
• Moment equations for a granular material in a thermal bath
• Approximate solutions to the problem of stationary shear flow of smooth granular materials
• Grad's 13-moment system for a dense gas of inelastic spheres
• Scaling solutions of inelastic Boltzmann equations with over-populated high energy tails
• A stochastic weighted particle method for the Boltzmann equation
• On some properties of kinetic and hydrodynamic equations for inelastic interactions.
• Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
• Velocity statistics in excited granular media
• Direct simulation of gas flows at the molecular level
• A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles
• Nontrivial velocity distributions in inelastic gases
• Stochastic Numerics for the Boltzmann Equation
• KINETICS MODELS OF INELASTIC GASES
• Mechanics of collisional motion of granular materials. Part 1. General hydrodynamic equations
• Simulation of rare events by the stochastic weighted particle method for the Boltzmann equa\-tion.
• On diffusive equilibria in generalized kinetic theory.

This page was built for publication: Direct simulation of the uniformly heated granular Boltzmann equation.