Abstract
The lattice Boltzmann method, which can simulate the macroscopic behavior of fluid flow, is a relatively new approach. The error analysis of the lattice Boltzmann BGK model is proposed based on extrapolation technique. According to the Filippova procedure, the error estimation formula is derived. The theory analysis shows that the error of lattice Boltzmann method is proportional to the lattice size and the relaxation parameter. The non-equilibrium part of the distribution function leads to the main error. Finally, the proposed error analysis method is validated by numerical simulation of the lid-driven flows in a square cavity. The numerical results agree well with the theory analysis results.
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