二维剪切流的格子Boltzmann模拟

Lattice Boltzmann simulation of the two-dimensional shear flows

本文给出了格子Boltzmann方法收敛到Navier Stokes方程严格的证明过程。之后,我们应用标准的格子Boltzmann方法模拟二维剪切层流动中的Kelvin Helmholtz不稳定问题。结果表明,剪切流动的不稳定情况可以在无表面张力的模拟中得到。

The basic idea of the lattice Boltzmann method and the skills of finding the NavierStokes equations are given. We simulate the KelvinHelmholtz instability in the twodimensional shear flow by using the model. The result shows that the lattice Boltzmann model can be used to simulate the shear flow very well.