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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2015011562
pages 297-309

A HYBRID LATTICE BOLTZMANN AND MONTE CARLO METHOD FOR NATURAL CONVECTION SIMULATION

Zheng Li
College of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China; Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA
Mo Yang
School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China
Yuwen Zhang
University of Missouri, Columbia, MO 65201, USA

ABSTRACT

A hybrid lattice Boltzmann and Monte Carlo method is proposed to solve the natural convection problem. The lattice Boltzmann method solves the velocity field while the temperature field is obtained by the Monte Carlo method. The two-dimensional nine discrete velocities (D2Q9) model is used in the lattice Boltzmann method, and random walker is employed in the Monte Carlo method. Natural convection is via a differentially heated rectangular enclosure under different Rayleigh numbers which are solved for validation and the results agree well with the benchmark. It indicates the proposed hybrid method is valid for the natural convection simulation.