An acceleration procedure for discrete velocity approximation of the Boltzmann collision operator

DOI10.1016/S0898-1221(00)00051-1zbMath0949.65141MaRDI QIDQ1570162

Włodzimierz Waluś, Tadeusz Płatkowski

Publication date: 5 December 2000

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

zbMATH Keywords

computational complexitynumerical testsBoltzmann equationnumerical algorithmsBoltzmann collision operatorshock wave formationkinetic theory of rarefied gasesdiscrete velocity approximation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Complexity and performance of numerical algorithms (65Y20)

Related Items

Towards an ultra efficient kinetic scheme. II: The high order case ⋮ Numerical solutions of the Boltzmann equation: Comparison of different algorithms ⋮ Numerical methods for kinetic equations ⋮ Efficient method for solving the Boltzmann equation on a uniform mesh

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conservative evaluation of Boltzmann collision integral in discrete ordinates approximation
• The Boltzmann equation and its applications
• Existence, stability, and convergence of solutions of discrete velocity models to the Boltzmann equation
• The \(\Delta\)-\(\epsilon\) method for the Boltzmann equation
• Convergence of discrete-velocity schemes for the Boltzmann equation
• Solution of the Boltzmann Kinetic Equation for Low Speed Flows
• The conservative splitting method for solving Boltzmann's equation
• Exact solutions of the Boltzmann equation
• A direct method for solving the Boltzmann equation
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics
• Numerical study of discrete-velocity gases

This page was built for publication: An acceleration procedure for discrete velocity approximation of the Boltzmann collision operator