A Smoothed Particle Hydrodynamics scheme for arbitrarily shaped rigid bodies within highly viscous fluids
A Smoothed Particle Hydrodynamics scheme for arbitrarily shaped rigid bodies within highly viscous fluids
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DOI：
10.1016/j.jcpx.2020.100068
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发表时间：
2020-08
期刊：
影响因子：
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通讯作者：
B. Dietemann;T. Kraft;H. Kruggel-Emden;C. Bierwisch
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文献类型：
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作者：
B. Dietemann;T. Kraft;H. Kruggel-Emden;C. Bierwisch
我们提出了一种光滑粒子流体力学（SPH）方案，适用于模拟高粘性流体中任意形状刚体的空间分辨流动。通过用SPH粒子表示流体和固相，避免了与其他方法的耦合。该方案由两部分组成，即隐式粘性求解器和刚体求解器，两者均改编自现有文献。我们介绍了如何将这两种方法轻松地结合起来，并且修改很少。本文提出的方案可用于模拟具有代表性的体积单元，其中可以研究刚体在由伸长和/或剪切条件组成的确定速度梯度中的运动。该方案只需要通过粒子移动来实现稳定。然而，这会导致流体和刚体之间边界的精确动量和能量守恒的损失。结果显示了二维和三维模拟，包括具有现有解析解的学术案例和各种形状刚体的半稀释悬浮液的工业相关案例。
We present a Smoothed Particle Hydrodynamics (SPH) scheme suitable to model spatially resolved flow of arbitrarily shaped rigid bodies within highly viscous fluids. Coupling to other methods is avoided by representing both fluid and solid phase by SPH particles. The scheme consists of two elements, an implicit viscosity solver and a rigid body solver, both of which are adapted from existing literature. We present how both methods can be coupled with ease and little modification. The scheme presented in this paper can be used for simulations of a representative volume element in which the motion of rigid bodies can be studied in defined velocity gradients composed of elongation and/or shear conditions. The scheme only requires stabilization by particle shifting. However, this causes the loss of exact momentum and energy conservation at the boundary between fluid and rigid bodies. Results are shown for both 2-dimensional and 3-dimensional simulations including academic cases with existing analytical solutions and industrially relevant cases of semi-dilute suspensions of rigid bodies of various shapes.