This work combines the lattice Boltzmann equation (LBE) and the overset method to simulate moving boundary problems in Navier-Stokes flows in two dimensions (2D). The transformation of the velocity moments of the distribution functions between a moving frame of reference and the one at rest is analyzed. The flow past a cylinder moving with a prescribed motion is used to validate the proposed LBE-overset method. We show that the proposed LBE-overset method does reduce the numerical noise generated by the relative motion between a moving object and the underlying Eulerian mesh for flow fields by several orders of magnitude.

中文翻译：

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带有叠加方法的Lattice Boltzmann方程用于二维流中的运动对象

这项工作结合了格子Boltzmann方程（LBE）和覆盖方法来模拟二维（2D）Navier-Stokes流中的运动边界问题。分析了移动参考系和静止参考系之间分布函数的速度矩的转换。通过汽缸以规定运动运动的流动被用于验证所提出的LBE-overset方法。我们表明，所提出的LBE-Overset方法确实将由运动对象与基础欧拉网格之间的相对运动所产生的数值噪声降低了几个数量级。