模拟平面二维水沙运动的格子 Boltzmann 模型  

Depth‑averaged 2D lattice Boltzmann model for simulating flow and sediment transport

作　　者：刘辉[1] 程永光[1] 曹志先[1] 黄泽浩 邹磊[1] LIU Hui;CHENG Yongguang;CAO Zhixian;HUANG Zehao;ZOU Lei(State Key Laboratory of Water Resources Engineering and Management,Wuhan University,Wuhan 430072,China)

机构地区：[1]武汉大学水资源工程与调度全国重点实验室,湖北武汉430072

出　　处：《武汉大学学报（工学版）》2023年第7期771-780,共10页Engineering Journal of Wuhan University

基　　金：国家自然科学基金项目(编号:51839008;11172219)。

摘　　要：格子Boltzmann方法具有天然的并行特性,将其引入水沙运动模拟有助于提高计算效率。参考常用水沙数学模型控制方程,建立了基于多分布函数耦合的平面二维水沙运动模拟格子Boltzmann模型,并实现了图形处理器(graphics processing unit,GPU)并行计算。通过对断面突扩和90°分汊河道这2个典型算例进行模拟,并与有限体积法及商业软件MIKE 21计算结果对比分析,初步验证了模型的正确可行性,经过进一步改进和拓展,该模型有望成为一种模拟大规模泥沙输运问题的有效手段。Lattice Boltzmann method is characterized by intrinsic parallel structure,and introducing it into sediment transport simulation has the prospect of improving computational efficiency.In this study,with reference to the governing equations of widely-used mathematical model for sediment transport,a depthaveraged 2D lattice Boltzmann model that couples multiple distribution functions is proposed for simulating flow and sediment transport,and its GPU(graphics processing unit)parallel computation is realized.The feasibility of proposed model is preliminatively verified by simulating two typical cases,namely sediment transport in the sudden expansion channel and the 90°bifurcated channel,and comparing with finite volume method and commercial software MIKE 21 results.It is indicated that this model has potentials to simulate large-scale sediment transport problems after further improvement and enhancement.

关 键 词：格子BOLTZMANN方法 水沙运动 河床变形 GPU并行计算 平面二维 

分 类 号：TV142[水利工程—水力学及河流动力学]