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Simulation of interaction between shocks and particle cloud using a second-order conservative sharp interface method

机译:二阶保守临界方法模拟冲击与粒子云之间的相互作用

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In this paper we present a second-order accurate conservative sharp interface method capable of simulating displacements and collisions of many particles in compressible inviscid flows. We implement a cut cell algorithm to resolve moving particles of arbitrary shape on a Cartesian mesh, thereby generating unstructured body-fitted meshes near the particle surfaces and structured meshes away from the particles. A second-order finite volume method in the arbitrary Lagrange-Eulerian framework is used for the discretization of the Euler equations, so that exact conservation of mass, momentum and energy is enforced for the flow computations, even in the presence of moving particles. The boundary condition at the particle surfaces is enforced by solving a local Riemann problem, which is constructed in the direction normal to the solid surface. The movement of a particle is affected by the forces exerted by the surrounding fluid and its collisions with other particles. A hard sphere model is proposed to deal with the particle collisions; in particular, it is capable of handling multi-body collisions occurring in no-dilute particle clouds, regardless of the number of particles involved. Furthermore, the model ensures the conservation of momentum and energy during the collision process. The method is validated by comparing against benchmark solutions or experimental data available in the literature, for test cases such as supersonic flows past a stationary cylinder and lift-off of rigid cylinders after shock impact. Good agreement has been achieved qualitatively and quantitatively. The method is also used to investigate the complicated flow phenomena, e.g. transport of particle clouds in supersonic flows through a confined channel and the interaction between shocks and three-dimensional particles. (C) 2021 Elsevier Inc. All rights reserved.
机译:在本文中,我们提出了一种二阶精度的保守尖锐界面方法,能够模拟可压缩无粘流中多粒子的位移和碰撞。我们实现了一种切割单元算法来解析笛卡尔网格上任意形状的运动粒子,从而在粒子表面附近生成非结构化贴体网格,并在远离粒子的地方生成结构化网格。采用任意拉格朗日-欧拉框架下的二阶有限体积法对欧拉方程进行离散化,从而在流动计算中实现质量、动量和能量的精确守恒,即使存在运动粒子。粒子表面的边界条件通过求解局部黎曼问题来实现,该问题在垂直于固体表面的方向上构造。粒子的运动受到周围流体施加的力及其与其他粒子碰撞的影响。提出了一种处理粒子碰撞的硬球模型;特别是,它能够处理在没有稀释粒子云的情况下发生的多体碰撞,而不管涉及的粒子数量如何。此外,该模型还保证了碰撞过程中动量和能量的守恒。通过对比基准解或文献中可用的实验数据,验证了该方法的有效性,例如超音速流经过静止圆柱和冲击后刚性圆柱的升力。在质量和数量上取得了良好的一致性。该方法还用于研究复杂的流动现象,例如超音速流动中粒子云通过受限通道的传输以及激波与三维粒子之间的相互作用。(c)2021爱思唯尔公司保留所有权利。

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