Comparative Analysis of Thermal Models in the Lattice Boltzmann Method for the Simulation of Natural Convection in a Square Cavity
| Autor: | Seok-Ki Choi, Seong-O Kim |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Convection
Numerical Analysis Natural convection Discretization Mathematical analysis Lattice Boltzmann methods Condensed Matter Physics Stone method Computer Science Applications Computational physics Physics::Fluid Dynamics Momentum Algebraic equation Mechanics of Materials Modeling and Simulation Thermal Mathematics |
| Zdroj: | Numerical Heat Transfer, Part B: Fundamentals. 60:135-145 |
| ISSN: | 1521-0626 1040-7790 |
| DOI: | 10.1080/10407790.2011.594403 |
| Popis: | In this article, a comparative analysis of thermal models in the lattice Boltzmann method for the simulation of natural convection in a square cavity is presented. A hybrid method, in which the thermal equation is solved by the Navier-Stokes equation method while the mass and momentum equations are solved by the lattice Boltzmann method (LBM), is introduced and its merits are explained. All the governing equations are discretized on a cell-centered, nonuniform grid using the finite-volume method. The convection terms are treated by a second-order central-difference scheme with a deferred-correction method to ensure accuracy of solutions. The resulting algebraic equations are solved by a strongly implicit procedure. The hybrid method is applied to the simulation of natural convection in a square cavity and the predicted results are compared with the benchmark solutions given in the literatures. The predicted results are also compared with those by the double-population LBM and by the Navier-Stokes equation... |
| Databáze: | OpenAIRE |
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