Investigation of open channel flow with unsubmerged rigid vegetation by the lattice Boltzmann method

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Investigation of open channel flow with unsubmerged rigid vegetation by the lattice Boltzmann method* He-fang Jing 1, 2,3, Yin-juan Cai 2, Wei-hong Wang 3, Ya-kun Guo4, Chun-guang Li 2,3, Yu-chuan Bai 1 1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300350, China; 2. Key laboratory of Intelligent Information and Big Data Processing of Ningxia Province, Yinchuan 750021, China; 3. School of Civil Engineering, North Minzu University, Yinchuan 750021, China; 4. Faculty of Engineering & Informatics, University of Bradford, Bradford, BD7 1DP, UK. (Received December 21, 2018, Revised February 27, 2019, Accepted March 4, 2019, Published online September 10, 2019) ©China Ship Scientific Research Center 2019 Abstract:Aquatic vegetation can significantly affect flow structure, sediment transport, bed scour and water quality in rivers, lakes, reservoirs and open channels. In this study, the lattice Boltzmann method is applied for performing the two dimensional numerical simulation of the flow structure in a flume with rigid vegetation. A multi-relaxation time model is applied to improve the stability of the numerical scheme for flow with high Reynolds number. The vegetation induced drag force is added in lattice Boltzmann equation model with the algorithm of multi-relaxation time in order to improve the simulation accuracy. Numerical simulations are performed for a wide range of flow and vegetation conditions and are validated by comparing with the laboratory experiments. Analysis of the simulated and experimentally measured flow field shows that the numerical simulation can satisfactorily reproduce the laboratory experiments, indicating that the proposed lattice Boltzmann model has high accuracy for simulating flow-vegetation interaction in open channel. Key Words:Lattice Boltzmann method;multi-relaxation time model;aquatic vegetation;drag force; open channel flow

Introduction Aquatic vegetation is one of the important components in water flow system in natural rivers, lakes, reservoirs and open channels. Aquatic vegetation can significantly affect not only the flow structure, but also the sediment transport, bed deformation, navigation, stability of banks and flood control equipment[1]. Due to the practical environmental and engineering importance, extensive studies have been carried out to investigate the flow-vegetation interaction and its effect on flow system by using the laboratory experiments, numerical simulation and occasionally the field observations [2-3]. In general, comparing with the numerical simulation and laboratory experiments, it is more difficult to conduct field measurement due to the limitation of appropriate instrumentations, field conditions and 

* Project supported by: the Funds of National Natural Science Foundation of China (grant number: 11861003 and 11761005). Biogaraphy: He-fang Jing (1969-), Male, Ph. D., Professor, E-mail: [email protected]. Corresponding author: Chun-guang Li, E-mail: [email protected].

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