Solute transport in fluid–particle systems is a fundamental process in numerous scientific and engineering disciplines. Simulating this process necessitates the consideration of solid particles with intricate morphologies. To address this challenge, this study proposes the Random-Walk Metaball-Imaging Discrete Element Lattice Boltzmann Method (RW-MI-DELBM). In this model, we reconstruct particle geometries with the Metaball-Imaging algorithm, capture the particle behavior using the Discrete Element Method (DEM), simulate fluid behavior by the Lattice Boltzmann Method (LBM), and represent solute behavior through the Random Walk Method (RWM). Through the integration of these techniques with specially designed boundary conditions, we achieve to simulate the solute transport in fluid–particle systems comprising complex particle morphologies. Thorough validations, including comparisons with analytical solutions and experiments, confirm the robustness and accuracy of this framework. The results demonstrate that RW-MI-DELBM can accurately capture the complex dynamics of solute transport under strict mass conservation. An investigation into the impact of particle morphologies on solute transport in a 3D oscillator revealed complex correlations between shape features and dispersion coefficients, highlighting the significant influence of particle shapes. However, due to the relationship’s complexity and limited simulations, no uniform patterns were observed. Further analyzes with a broader range of shape features and varying conditions are necessary to fully understand their collective impact on dispersion. The proposed RW-MI-DELBM offers a promising framework to study solute transport in fluid–particle systems with complex morphologies, ensuring strict mass conservation of the solute. Potential applications include the study of pollutant transport, nutrient cycling and viruses transmission in environmental systems.

中文翻译：

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用于具有复杂颗粒形态的流体-粒子系统中三维溶质传输的随机游元元晶格玻尔兹曼方法


流体-粒子系统中的溶质传递是许多科学和工程学科的基本过程。模拟这个过程需要考虑具有复杂形态的固体颗粒。为了应对这一挑战，本研究提出了随机游走元球成像离散元晶格玻尔兹曼方法 （RW-MI-DELBM）。在这个模型中，我们使用 Metaball-Imaging 算法重建粒子几何结构，使用离散元法 （DEM） 捕获粒子行为，通过格子玻尔兹曼法 （LBM） 模拟流体行为，并通过随机游走法 （RWM） 表示溶质行为。通过将这些技术与专门设计的边界条件相结合，我们实现了模拟由复杂粒子形态组成的流体-粒子系统中的溶质传递。彻底的验证，包括与分析解和实验的比较，证实了该框架的稳健性和准确性。结果表明，RW-MI-DELBM 可以准确捕捉严格质量守恒下溶质运移的复杂动力学。对颗粒形态对 3D 振荡器中溶质传输影响的研究揭示了形状特征和色散系数之间的复杂相关性，突出了颗粒形状的显着影响。然而，由于关系的复杂性和有限的模拟，没有观察到统一的模式。需要对更广泛的形状特征和不同的条件进行进一步分析，以充分了解它们对色散的集体影响。 提出的 RW-MI-DELBM 为研究具有复杂形态的流体-粒子系统中的溶质传输提供了一个有前途的框架，确保溶质的严格质量守恒。潜在的应用包括研究环境系统中的污染物传输、营养物质循环和病毒传播。