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首页> 外文期刊>Journal of Computational Physics >A pressure boundary integral method for direct fluid-particle simulations on Cartesian grids
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A pressure boundary integral method for direct fluid-particle simulations on Cartesian grids

机译:用于笛卡尔网格上直接流体粒子模拟的压力边界积分方法

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摘要

We consider a new Cartesian grid method for direct numerical simulations of fully coupled interaction of incompressible flow and spherical particles, based on a discontinuous extension of the pressure Poisson equation (PPE) across particle boundaries. We give a complete mathematical description of the boundary-integral treatment of the discontinuous PPE that includes the derivation of a new pressure boundary condition for accelerating boundaries and the solution of the system of boundary integral equations using spherical harmonics expansions. The model was validated with the standard test for finite Reynolds number flow around a sphere and with a novel test using the analytical solution for the Stokes flow past two adjacent spheres moving with the same velocity. The model capability and numerical efficiency was demonstrated with simulations for the collective settling of groups of 64-512 particles.
机译:我们基于压力泊松方程(PPE)在颗粒边界上的不连续扩展,考虑了一种新的笛卡尔网格方法,用于直接模拟不可压缩流体与球形颗粒的完全耦合相互作用。我们对不连续PPE的边界积分处理进行了完整的数学描述,包括推导用于加速边界的新压力边界条件和使用球谐展开的边界积分方程组的解。通过标准测试对球体周围的有限雷诺数流动进行了验证,并通过使用解析溶液对经过两个相同速度运动的相邻两个球体的斯托克斯流进行了新颖的测试,对模型进行了验证。通过仿真证明了64-512个粒子组的集体沉降,具有模型能力和数值效率。

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