Multi-block lattice Boltzmann simulations of solute transport in shallow water flows |
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| Institution: | 1. The Key Laboratory of Water and Sediment Sciences of Ministry of Education, Beijing Normal University, Beijing 100875, China;2. School of Engineering, University of Liverpool, Liverpool L69 3GQ, UK;3. School of Environment, Beijing Normal University, Beijing 100875, China;4. State Key Laboratory of Water Environment Simulation, Beijing Normal University, Beijing 100875, China;1. The CUNY Energy Institute, Department of Chemical Engineering, The City College of New York, 140th Street and Convent Avenue, New York, NY 10031, USA;2. Department of Mechanical Engineering, University of Colorado Denver, 1200 Larimer Street, Campus Box 112, PO Box 173364, Denver, CO 80217-3364, USA;1. Farmland Irrigation Research Institute, Chinese Academy of Agricultural Sciences, Xinxiang 403002, Henan Province, PR China;2. Department of Sustainable Agricultural Sciences, Rothamsted Research, Harpenden, Hertfordshire AL5 2JQ, United Kingdom |
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| Abstract: | We report a two-dimensional multi-block lattice Boltzmann model for solute transport in shallow water flows, which is developed based on the advection–diffusion equation for mass transport and the shallow water equations for the flows. A weighting factor is included in the centered scheme for improved accuracy. The model is firstly verified by simulating three benchmark tests: wind-driven circulation in a dish-shaped lake, jet-forced flow in a circular basin, and flow formed by two parallel streams containing different uniform concentrations at the same constant velocity; and then it is applied to a practical wind-induced flow, Baiyangdian Lake, which is characterized by irregular geometries and complex bathymetries. The numerical results have shown that the model is able to produce accurate and detailed results for both water flows and solute transport, which is attractive, especially for flows in narrow zones of practical terrains and certain areas with largely varying pollutant concentrations. |
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| Keywords: | Lattice Boltzmann method Multi-block scheme Shallow water flow Solute transport Baiyangdian Lake LABSWE |
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