宽级配土CFD-DEM耦合分析的分布点体积分数算法

    Distribution 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。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;通过引入颗粒镜像法和卫星点法,实现了对大颗粒边界体积的补偿分配和小颗粒空间分布的精确捕捉。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,进一步验证了分布点法在D ~ L和D << L同时存在时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 coupled analysis of Computational Fluid Dynamics (CFD) and Discrete Element Method (DEM) has emerged as a critical approach to revealing the mesoscopic mechanisms of soil-water coupling. The volume fractions of the particle phase and fluid phase are key parameters for determining the two-phase interaction in unresolved CFD-DEM coupling analysis, significantly influencing both computational efficiency and the accuracy of calculation results. For widely graded soils with remarkably different particle sizes, it is difficult to balance the calculation of volume fractions for both large and small particles, leading to computational instability and low accuracy. This study proposes an improved distributed point volume fraction algorithm. By allocating volumes to effective distributed points within the particle influence radius, the algorithm transforms grid search into distributed point search, substantially expanding the applicable range of fluid grid size L relative to particle diameter D. Additionally, the introduction of the particle mirror method and satellite point method achieves compensatory volume allocation for large particle boundaries and precise capture of small particle spatial distribution. Static particle arrangement numerical tests were conducted. Based on the calibration of algorithm parameters, the coupling accuracy and efficiency advantages of the distributed point method under different grid conditions were verified. Through turbid water infiltration numerical tests, the calculation accuracy of the distributed point method for particle volumes was further validated in scenarios where both (D ~ L) and (D << L) coexist. Numerical tests indicate that the improved distributed point method shows broad application prospects in large-scale fluid-solid coupling calculations for widely graded soils.

       

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