宽级配土CFD-DEM耦合分析的分布点体积分数算法

    Distributed point algorithm for volume fraction calculation in CFD-DEM coupling analysis of widely graded soils

    • 摘要: 流体动力学(CFD)与离散元(DEM)耦合分析已成为揭示土-水耦合细观机理的重要手段。其中,颗粒相和流体相所占的体积分数是CFD-DEM未解析耦合分析中确定两相相互作用的关键参数,对计算效率和计算结果的精度有着重要影响。宽级配土的颗粒粒径相差显著,计算体积分数时难以兼顾大小颗粒,计算不稳定,计算精度不高。本文提出了一种改进的分布点体积分数算法,通过对颗粒影响半径内的有效分布点进行体积分配,将网格搜索转变为分布点搜索,大幅拓展了相对于颗粒粒径D的流体网格尺寸L的适用范围;同时通过颗粒镜像法和卫星点法,实现了对大颗粒体积的补偿分配和小颗粒体积的精确捕捉。在此基础上,开展了颗粒静态排列数值试验,在对算法参数进行标定的基础上,验证了分布点法在不同类型网格条件下的耦合精度和效率优势;通过浑水入渗数值试验,进一步验证了在D ~ LD < < L同时存在时分布点法对颗粒体积的计算精度。数值试验表明,改进的分布点法在宽级配土的大规模流固耦合计算方面具有广阔的应用前景。

       

      Abstract: The coupling analysis of Computational Fluid Dynamics (CFD) and Discrete Element Method (DEM) has become an important approach to reveal the mesoscale mechanisms of soil-water coupling. In this context, the volume fractions of the particulate phase and the fluid phase are key parameters in determining the interaction between the two phases in the unresolved coupling analysis of CFD-DEM, significantly affecting the computational efficiency and accuracy of the results. For soils with wide particle size distribution, the particle sizes vary significantly, making it difficult to account for both large and small particles during the calculation of the volume fractions, resulting in unstable computation and low accuracy. This study proposes an improved distributed point algorithm for volume fraction calculation. By allocating the volume of effective distributed points within the particle influence radius and transforming the search on the fluid grid to the search of the distributed points, the algorithm significantly expands the applicable range of the ratio of fluid grid size L to particle diameter D. Additionally, by employing the particle mirroring method and the satellite point method, the algorithm achieves compensation for the volume of large particles and precise capture of the volume of small particles. Numerical experiments on particle static arrangement are conducted. After calibrating the algorithm parameters, the coupling accuracy and efficiency advantages of the distributed point algorithm under different types of grid conditions are verified. Through numerical experiments on turbid water infiltration, the accuracy of the distributed point algorithm in calculating particle volume when both DL and DL coexist is further validated. The numerical experiments demonstrate that the improved distributed point algorithm has broad application prospects in large-scale fluid-solid coupling calculations for soils of wide particle size distribution.

       

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