Fast numerical method for the Boltzmann equation on non-uniform grids

DOI10.1016/j.jcp.2008.03.028zbMath1141.82328OpenAlexW2015103797MaRDI QIDQ933335

Richards Grzhibovskis, Alexei Heintz, Piotr Kowalczyk

Publication date: 21 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.03.028

zbMATH Keywords

numerical methodsBoltzmann equationnon-uniform grids

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Numerical methods for discrete and fast Fourier transforms (65T50) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (4)

Deterministic numerical solutions of the Boltzmann equation using the fast spectral method ⋮ Towards adaptive kinetic-fluid simulations of weakly ionized plasmas ⋮ Galerkin-Petrov approach for the Boltzmann equation ⋮ Fast evaluation of the Boltzmann collision operator using data driven reduced order models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recent advances and current challenges for DSMC
• The Boltzmann equation and its applications
• Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II
• The geometry of binary collisions and generalized Radon transforms
• Convergence of discrete-velocity schemes for the Boltzmann equation
• Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
• On the fast Fourier transform of functions with singularities
• Fast deterministic method of solving the Boltzmann equation for hard spheres
• Numerical solutions of the Boltzmann equation: Comparison of different algorithms
• A Fourier spectral method for homogeneous boltzmann equations
• Direct simulation of gas flows at the molecular level
• Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard-sphere molecules
• Exact solutions of the Boltzmann equation
• Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules
• A direct method for solving the Boltzmann equation
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
• A new consistent discrete-velocity model for the Boltzmann equation
• Stochastic Numerics for the Boltzmann Equation
• A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics
• Shock-wave structure for a binary gas mixture: Finite difference analysis of the Boltzmann equation for hard-sphere molecules

This page was built for publication: Fast numerical method for the Boltzmann equation on non-uniform grids