Abstract
In this paper, we describe the development of a lattice Boltzmann scheme for incompressible thermohydrodynamics. Being based on kinetic theory, the scheme simulates macroscopic fluid flows and heat transfers with the use of distribution functions. A systematic derivation of the lattice Boltzmann scheme from the continuous Boltzmann equation is discussed in details. We find that a 5-velocity model can be employed to simulate heat transfer in such a case where the viscous and compressive heating effects are negligible. As a benchmark, numerical simulations of natural convection in a square cavity are carried out. Through the results, the scheme is found to have a second-order convergence rate. In addition, the scheme is verified to be as accurate as conventional methods over a wide range of Rayleigh numbers.
| Original language | English |
|---|---|
| Pages (from-to) | 53-62 |
| Number of pages | 10 |
| Journal | JSME International Journal, Series B: Fluids and Thermal Engineering |
| Volume | 44 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2001 Feb |
Keywords
- Computational fluid dynamics Benchmark solution
- Lattice Boltzmann method
- Thermohydrodynamics
ASJC Scopus subject areas
- Mechanical Engineering
- Physical and Theoretical Chemistry
- Fluid Flow and Transfer Processes