Abstract Liquid-solid systems are frequently encountered in industrial processes and it is broadly recognised that numerical simulations are a useful tool for gaining insight in these processes. In this study, the unresolved CFD-DEM approach is extended with a complete momentum coupling for liquid-solid flows. Established correlations are used for the drag and lift forces, while new implementations are introduced for the unsteady interaction forces. A virtual mass force model based on the work of Felderhof (Felderhof 1991) is introduced, which accounts for the local particle volume fraction and the liquid-solid density ratio. The Basset history force, which is usually neglected due to computational difficulties related to its implementation, is evaluated according to the approach proposed by Parmar et al. (Parmar, 2018). A liquid fluidised bed is used as a demonstration case for the extended model. In this work, it is shown that with appropriate stabilisation measures, the Basset history force is approximated accurately (within 5%), while computational efficiency is maintained (

中文翻译：

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用于未解析 CFD-DEM 模拟的完整液固动量耦合

摘要 液固系统在工业过程中经常遇到，人们普遍认为数值模拟是深入了解这些过程的有用工具。在这项研究中，未解析的 CFD-DEM 方法通过液固流动的完整动量耦合进行了扩展。已建立的相关性用于阻力和升力，同时为不稳定的相互作用力引入了新的实现。介绍了基于 Felderhof (Felderhof 1991) 工作的虚拟质量力模型，该模型考虑了局部粒子体积分数和液固密度比。Basset 历史力通常由于与其实现相关的计算困难而被忽略，根据 Parmar 等人提出的方法进行评估。（帕尔马，2018 年）。液体流化床用作扩展模型的示范案例。在这项工作中，表明通过适当的稳定措施，可以准确地近似 Basset 历史力（在 5% 以内），同时保持计算效率（