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MRT Lattice Boltzmann schemes for confined suspension flows

机译：有限悬浮液的MRT Lattice Boltzmann方案

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We introduce a novel multiple-relaxation time (modified MRT) Lattice Boltzmann scheme for simulation of confined suspension flow. Via careful tuning of the free eigenvalues of the collision operator we can substantially reduce the error in the so-called hydrodynamic radius. Its performance has been compared to that of the TRT scheme for several benchmark problems. We have found that the optimal value of the free eigenvalue depends on the curvature of the solid-fluid interfaces. Hence, we have investigated suspension flow problems, with confining boundaries of different curvatures. We have found that the modified MRT scheme is better suited for suspension flow in curved confining walls, while the TRT scheme is better for suspension flow confined between planar walls. With both schemes we have investigated problems for confined suspension flows, namely 1) drag forces experienced by spheres flowing in confining flow channels of different cross sections, and 2) the lubrication force between a sedimenting sphere and the end cap of a confining cylindrical capillary.
机译：我们介绍了一种新颖的多重松弛时间（修正的MRT）Lattice Boltzmann方案，用于模拟受限的悬浮液流动。通过仔细调整碰撞算子的自由特征值，我们可以大大减少所谓流体动力半径中的误差。在几个基准问题上，已将其性能与TRT方案的性能进行了比较。我们发现自由特征值的最佳值取决于固体-流体界面的曲率。因此，我们研究了具有不同曲率边界的悬浮液流动问题。我们已经发现，改进的MRT方案更适合于弯曲限制壁中的悬浮液流动，而TRT方案更适合于限制在平面壁之间的悬浮液流动。通过这两种方案，我们研究了有限悬浮液的问题，即1）在不同横截面的有限流动通道中流动的球体承受的阻力，以及2）沉淀球与有限圆柱毛细管的端盖之间的润滑力。

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