Abstract
For the numerical simulation of one-dimensional Burgers' equation based on Lattice Boltzmann method, there had been 2-bit and 4-bit models. In this paper, an equilibrium distribution function was constructed by choosing the proper kind of discrete velocity model. And then, using Lattice Bhatnagar-Gross-Krook( LBGK) model, Chapman-Enskog expansion and multiscale technique, a 3-bit Lattice Boltzmann Method( LBM) called D1Q3 model was proposed for the one-dimensional Burgers equation. Some numerical experiments were carried out and the numerical results were in good agreement with analytical solutions, therefore the effectiveness of the new method was verified.
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