双流体光滑粒子动力学中具有强相间相互作用的单分散气固混合物
Monodisperse gas-solid mixtures with intense interphase interaction in two-fluid Smoothed Particle Hydrodynamics
摘要：
气固混合物的模拟在许多科学和工业应用中使用。双流体光滑粒子流体动力学（TFSPH）是一种模拟气体和固体的方法，其中不同的粒子通过阻力相互作用。发展了几种计算TFSPH气固颗粒间曳力的方法。当速度弛豫时间$t_{\rm stop}$远小于问题的动力学时间时，具有强烈相间相互作用的气尘混合物的模拟在计算上具有挑战性。在显式格式中，时间步长$τ$必须小于$t_{\rm stop}$，这导致了高的计算成本。此外，众所周知，对于刚性问题，基于网格的方法和粒子方法都可能需要负担不起的详细分辨率来捕获解的渐近bahaiviour。为了解决这个问题，我们发展了快速和强大的方法来计算刚性和温和的阻力在气固混合物的粒子在细胞的想法的基础上。在本文中，我们比较了新的和以前开发的测试问题的方法的结果
英文摘要：
Simulations of gas-solid mixtures are used in many scientific and industrial applications. Two-Fluid Smoothed Particle Hydrodynamics (TFSPH) is an approach when gas and solids are simulated with different sets of particles interacting via drag force. Several methods are developed for computing drag force between gas and solid grains for TFSPH. Computationally challenging are simulations of gas-dust mixtures with intense intephase interaction, when velocity relaxation time $t_{\rm stop}$ is much smaller than dynamical time of the problem. In explicit schemes the time step $τ$ must be less than $t_{\rm stop}$, that leads to high computational costs. Moreover, it is known that for stiff problems both grid-based and particle methods may require unaffordably detailed resolution to capture the asymptotical bahaiviour of the solution. To address this problem we developed fast and robust method for computing stiff and mild drag force in gas solid-mixtures based on the ideas of Particle-in-Cell approach. In the paper we compare the results of new and previously developed methods on test problems
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