Lattice Boltzmann Simulations of Thermal Convective Flows in Two Dimensions

Authors

Jia Wang
Donghai Wang
Pierre Lallemand
Li-Shi Luo, Old Dominion UniversityFollow

Document Type

Article

Publication Date

2013

DOI

10.1016/j.camwa.2012.07.001

Publication Title

Computers and Mathematics with Applications

Volume

65

Issue

2

Pages

262-286

Abstract

In this paper we study the lattice Boltzmann equation (LBE) with multiple-relaxation-time (MRT) collision model for incompressible thermo-hydrodynamics with the Boussinesq approximation. We use the MRT thermal LBE (TLBE) to simulate the following two flows in two dimensions: the square cavity with differentially heated vertical walls and the Rayleigh-Benard convection in a rectangle heated from below. For the square cavity, the flow parameters in this study are the Rayleigh number Ra = 10³-10⁶, and the Prandtl number Pr = 0.71; and for the Rayleigh-Benard convection in a rectangle, Ra = 2 ^. 10³, 10⁴ and 5 ^. 10⁴, and Pr = 0.71 and 7.0.

Comments

Publisher open archive.

© 2012 Elsevier Ltd. All rights reserved.

Original Publication Citation

Wang, J., Wang, D. H., Lallemand, P., & Luo, L. S. (2013). Lattice Boltzmann simulations of thermal convective flows in two dimensions. Computers and Mathematics with Applications, 65(2), 262-286. doi:10.1016/j.camwa.2012.07.001

ORCID

0000-0003-1215-7892 (Luo)

Repository Citation

Wang, Jia; Wang, Donghai; Lallemand, Pierre; and Luo, Li-Shi, "Lattice Boltzmann Simulations of Thermal Convective Flows in Two Dimensions" (2013). Mathematics & Statistics Faculty Publications. 60.
https://digitalcommons.odu.edu/mathstat_fac_pubs/60