In this work, a dynamic-Immersed--Boundary method combined with a BGK-Lattice--Boltzmann technique is developed and critically discussed. The fluid evolution is obtained on a three-dimensional lattice with 19 reticular velocities (D3Q19 computational molecule) while the immersed body surface is modeled as a collection of Lagrangian points responding to an elastic potential and a bending resistance. A moving least squares reconstruction is used to accurately interpolate flow quantities and the forcing field needed to enforce the boundary condition on immersed bodies. The proposed model is widely validated against well known benchmark data for rigid and deformable objects. Rigid transport is validated by computing the settling of a sphere under gravity for five different conditions. Then, the tumbling of inertial particles with different shape is considered, recovering the Jefferey orbit for a prolate spheroid. Moreover, the revolution period for an oblate spheroid and for a disk-like particle is obtained as a function of the Reynolds number. The existence of a critical Reynolds number is demonstrated for both cases above which revolution is inhibited. The transport of deformable objects is also considered. The steady deformation of a membrane under shear for three different mechanical stiffness is assessed. Then, the tumbling of a weakly-deformable spheroid under shear is systematically analyzed as a function strain stiffness, bending resistance and membrane mass.
翻译:在这项工作中,开发了一种动态-闪光-边界法,结合一种BGK-Lattice-Boltzmann技术,并对此进行了批判性的讨论。流体进化是在一个有19个垂直速度(D3Q19计算分子)的三维基柱状体上取得的,而沉积体表面则建模成一个对弹性潜力和弯曲抗力作出反应的Lagrangian点的集合。一个移动最小方形的重建用于精确的流体间流量和强制字段以强制实施沉积体的边界条件。提议的模型被广泛验证为僵硬和变形物体的众所周知的基准数据。通过在五种不同条件下计算重力下的球体沉积(D3QQQQ19分子 ) 来验证硬性运输。然后,将不同形状的惯性微粒子沉积模拟的轨道进行修复。此外,腐蚀性流体和磁盘状颗粒的革命期是作为 Renoldsitet 的函数获得的革命时期。一个关键质量值的物体在精确的变压状态下,一个稳定的正态的变变的变形,在一种稳定的变的变形中,在一种变的变形中,在一种稳定的变形中,在一种稳定的变形的变形中,在一种稳定的变形的变形的变形的变形中。