Numerical solutions of two-dimensional Burgers’ equations by lattice Boltzmann method

Numerical solutions of two-dimensional Burgers’ equations by lattice Boltzmann method

In this paper, the two-dimensional Burgers’ equations with two variables are solved numerically by the lattice Boltzmann method. The lattice Bhatnagar–Gross–Krook model we used can recover the macroscopic equation with the second order accuracy. Numerical solutions for various values of Reynolds num...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in nonlinear science & numerical simulation 2011, Vol.16 (1), p.150-157
Hauptverfasser: Liu, Fang, Weiping, Shi
Format: Artikel
Sprache:eng
Schlagworte:
Burgers’ equations
Computer simulation
Exact solutions
Fluid flow
Irregular curved domain
Lattice Bhatnagar–Gross–Krook model
Lattices
Macroscopic equations
Mathematical analysis
Mathematical models
Reynolds number
Two dimensional
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, the two-dimensional Burgers’ equations with two variables are solved numerically by the lattice Boltzmann method. The lattice Bhatnagar–Gross–Krook model we used can recover the macroscopic equation with the second order accuracy. Numerical solutions for various values of Reynolds number, computational domain, initial and boundary conditions are calculated and validated against exact solutions or other published results. It is concluded that the proposed method performs well.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2010.02.025