基于有限体积虚拟区域方法的两相流动直接模拟

A Fictitious Domain Method Based on Finite Volume Scheme for Particulate Flows

为提高计算效率,提出有限体积法离散下的虚拟区域颗粒两相流动直接模拟方法.在控制方程中加入相应的虚拟区域源项,保证了颗粒内部的刚体运动特性.该源项中含有颗粒信息部分及流体信息部分.在每次迭代后,对源项中的流体信息部分进行更新,从而更好地保证颗粒内速度的刚体分布.计算静止颗粒圆柱绕流及单个颗粒的沉降过程,验证了算法的准确性.

This research aims to develop a fictitious domain method based on finite volume discretization. The main idea is to add a source term in the momentum equation, which can apply rigid body constraint on domains covered by particles. The source term includes both particle and fluid information inside. It shows that by refreshing fluid information after each iteration, rigidity of solid can be preserved. This finite volume method is then verified by simulations of several cases and comparing results with literatures, which proves accuracy of the method.