An alternative approach to simulating arbitrarily shaped particles submersed in viscous fluid in two dimensions is proposed, obtained by adapting the velocity parameter of the equilibrium distribution function of a standard lattice Boltzmann method (LBM). Comparisons of exemplifying simulations to results in the literature validate the approach as well as the convergence analysis. Pressure fluctuations occurring in Ladd’s approach are greatly reduced. In comparison with the immersed boundary method, this approach does not require cost intensive interpolations. The parallel efficiency of LBM is retained. An intrinsic momentum transfer is observed during particle–particle collisions. To demonstrate the capabilities of the approach, sedimentation of particles of several shapes is simulated despite omitting an explicit particle collision model.

提出了一种通过模拟标准晶格玻尔兹曼方法（LBM）的平衡分布函数的速度参数来模拟二维浸没在粘性流体中的任意形状颗粒的替代方法。例示性仿真与文献结果的比较证实了该方法以及收敛性分析。拉德方法中发生的压力波动大大减少了。与沉浸边界方法相比，此方法不需要成本密集的插值。LBM的并行效率得以保留。在粒子与粒子的碰撞过程中观察到了固有的动量传递。为了演示该方法的功能，尽管省略了明确的粒子碰撞模型，但仍模拟了几种形状的粒子的沉积。