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An approach to distribute the marker points on non-spherical particle/boundary surface within the IBM-LBM framework

机译:一种在IBM-LBM框架内将标记点分布在非球形粒子/边界表面上的方法

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摘要

IBM-LBM-DEM (immersed boundary method - lattice Boltzmann method - discrete element method) is a powerful tool to solve the particle-fluid interaction problems, and the super-ellipsoids can model particles of various shapes in DEM. To lay the foundation of IBM-LBM-DEM for particles with arbitrary shapes, the super-ellipsoid model is introduced to describe non-spherical particles. For the successful simulation of particle-fluid systems by IBM-LBM-DEM based on super-ellipsoids, adopting an appropriate method to distribute the discrete marker points on the surface of a super-ellipsoid within the IBM and DEM frameworks is indispensable. In light of this, a strip approach originally proposed for sphere is extended to super-ellipsoid to discretize the particle surface. For the surface discretization of arbitrary solid shapes, the multi-super-ellipsoid model is further proposed in this paper that a particle is composed of two or more super-ellipsoids. The IBM-LBM simulations of the flow over a stationary particle with different shapes, including spherical, cuboidal, ellipsoidal, cylindrical and spherocylindrical particles, are subsequently carried out to validate the capability of the proposed approaches. The fairly good agreement between the current simulation results and the relevant literature results demonstrates its feasibility in discretizing the particle surface. The comparisons between different shape-approximation accuracies for cuboidal and cylindrical particles modeled by super-ellipsoids further reveal that adopting the relatively low shape-approximation accuracy is also acceptable.
机译:IBM-LBM-DEM(沉浸边界方法-格子玻尔兹曼方法-离散元素方法)是解决粒子-流体相互作用问题的强大工具,超级椭圆体可以在DEM中对各种形状的粒子进行建模。为了为具有任意形状的粒子奠定IBM-LBM-DEM的基础,引入了超椭球模型来描述非球形粒子。对于IBM-LBM-DEM基于超级椭球的粒子-流体系统的成功仿真,采用适当的方法在IBM和DEM框架内将离散的标记点分布在超级椭球的表面上是必不可少的。有鉴于此,最初为球体提出的一种带状方法已扩展到超椭球体以离散化粒子表面。为了对任意实体的表面进行离散化,本文进一步提出了一种多超椭圆体模型,该模型由两个或多个超椭圆体组成。随后进行了IBM-LBM对固定形状的流动的模拟,该形状具有不同的形状,包括球形,长方体,椭圆形,圆柱体和球形圆柱体粒子,以验证所提出方法的能力。当前模拟结果与相关文献结果之间的相当好的一致性证明了其在离散化粒子表面方面的可行性。用超椭球体建模的长方体和圆柱体的不同形状近似精度之间的比较进一步表明,采用相对较低的形状近似精度也是可以接受的。

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