Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
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DOI：
10.1007/s40571-015-0072-5
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发表时间：
2016
影响因子：
3.3
通讯作者：
A. Vázquez-Quesada;X. Bian;M. Ellero
中科院分区：
文献类型：
--
作者：
A. Vázquez-Quesada;X. Bian;M. Ellero
本文提出了一个刚性球形颗粒在牛顿流体中悬浮的三维模型。采用光滑粒子流体动力学方法对溶剂进行建模，该方法充分考虑了悬浮球之间的长程多体流体动力学相互作用。短程润滑力是必要的，以模拟集中悬浮液，成对地引入的接近/离开的物体的斯托克斯方程的解析解的基础上。考虑到润滑在固体颗粒分离消失时是奇异的，隐式分裂积分方案用于获得准确的结果，同时避免过小的模拟时间步长。固体颗粒之间的流体动力学相互作用，在长范围和短范围的限制，验证理论的情况下，两个接近的球体在静止的介质和散装剪切流，其中获得良好的协议。最后，数值计算结果的悬浮液粘度的多粒子系统的显示和分析解决方案，可在稀释和半稀释的情况下，以及与以前的数值计算结果在集中的限制。
A three-dimensional model for a suspension of rigid spherical particles in a Newtonian fluid is presented. The solvent is modeled with smoothed particle hydrodynamics method, which takes into account exactly the long-range multi-body hydrodynamic interactions between suspended spheres. Short-range lubrication forces which are necessary to simulate concentrated suspensions, are introduced pair-wisely based on the analytical solution of Stokes equations for approaching/departing objects. Given that lubrication is singular at vanishing solid particle separations, an implicit splitting integration scheme is used to obtain accurate results and at the same time to avoid prohibitively small simulation time steps. Hydrodynamic interactions between solid particles, at both long-range and short-range limits, are verified against theory in the case of two approaching spheres in a quiescent medium and under bulk shear flow, where good agreements are obtained. Finally, numerical results for the suspension viscosity of a many-particle system are shown and compared with analytical solutions available in the dilute and semi-dilute case as well as with previous numerical results obtained in the concentrated limit.