In this article, we deal with the numerical immersed boundary-lattice Boltzmann method for simulation of the fluid-structure interaction problems in 2D. We consider the interaction of incompressible, Newtonian fluid in an isothermal system with an elastic fiber, which represents an immersed body boundary. First, a short introduction to the lattice Boltzmann and immersed boundary method is presented and the combination of these two methods is briefly discussed. Then, the choice of the smooth approximation of the Dirac delta function and the discretization of the immersed body is discussed. One of the significant drawbacks of immersed boundary method is the penetrative flow through the immersed impermeable boundary. The effect of the immersed body boundary discretization is investigated using two benchmark problems, where an elastic fiber is deformed. The results indicate that the restrictions placed on the discretization in literature are not necessary.

中文翻译：

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流固相互作用的浸入边界格子Boltzmann方法的计算研究。

在本文中，我们处理了数值浸入边界格子Boltzmann方法，以模拟二维中的流固耦合问题。我们考虑了等温系统中不可压缩的牛顿流体与弹性纤维的相互作用，弹性纤维代表了浸没的人体边界。首先，简要介绍了格子玻尔兹曼法和沉浸边界法，并简要讨论了这两种方法的组合。然后，讨论了狄拉克δ函数的光滑逼近的选择和沉浸体的离散化。浸入边界法的主要缺点之一是渗透流穿过浸入式不渗透边界。使用两个基准问题研究沉浸式身体边界离散化的效果，弹性纤维变形的地方。结果表明，对文献中离散化的限制是不必要的。