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首页> 外文期刊>Journal of Computational Physics >An explicit finite difference scheme with spectral boundary conditions for particulate flows
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An explicit finite difference scheme with spectral boundary conditions for particulate flows

机译：具有谱边界条件的粒子流显式有限差分方案

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摘要

We present an explicit finite difference scheme for solving two-dimensional particulate flow problems with a special treatment of the boundary conditions on the particle surface based on spectral solutions to the Stokes equations. This scheme allows for accurate solution of particulate flows up to a particle Reynolds number of one hundred on coarse grids (10-20 grid spacings per particle diameter). The coarse grid provides additional computational benefit by allowing for larger time steps required by the stability constraint. The method is validated and demonstrated through a number of examples, which include flow over a stationary cylinder, a cylinder moving with constant velocity, sedimentation of a free particle, the drafting, kissing, and tumbling of two particles, and 248 particles failing in a closed box. (c) 2008 Elsevier Inc. All rights reserved.
机译：我们提出了一个显式的有限差分方案，用于解决二维微粒流问题，并基于对Stokes方程的频谱解，对粒子表面的边界条件进行了特殊处理。该方案允许在粗格栅（每粒径10-20格栅间距）上精确解决高达100的雷诺数的颗粒流。粗网格通过允许稳定性约束所需的较大时间步长而提供了额外的计算优势。通过许多示例验证并演示了该方法，包括在固定圆柱体上流动，以恒定速度移动的圆柱体，自由粒子的沉降，两个粒子的牵伸，亲吻和翻滚，以及248个粒子失败。密闭的盒子。 （c）2008 Elsevier Inc.保留所有权利。

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