2004•Communications in Theoretical PhysicsOpen access

A Lattice Boltzmann Model and Simulation of KdV-Burgers Equation

Chaoying Zhang, Huili Tan, Liu Mu-Ren, Lingjiang Kong

Abstract

A lattice Boltzmann model of KdV-Burgers equation is derived by using the single-relaxation form of the lattice Boltzmann equation. With the present model, we simulate the traveling-wave solutions, the solitary-wave solutions, and the sock-wave solutions of KdV-Burgers equation, and calculate the decay factor and the wavelength of the sock-wave solution, which has exponential decay. The numerical results agree with the analytical solutions quite well.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Korteweg–de Vries equation, Burgers' equation, Lattice Boltzmann methods, Boltzmann equation, Exponential function, Bhatnagar–Gross–Krook operator, Exponential decay, Lattice gas automaton