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Direct-forcing immersed boundary lattice Boltzmann simulation of particle/fluid interactions for spherical and non-spherical particles
Affiliation:1. Beijing Key Laboratory of Emission Surveillance and Control for Thermal Power Generation, North China Electric Power University, Beijing 102206, China;2. School of Chemical and Process Engineering, University of Leeds, Leeds LS2 9JT, UK;3. Laboratory of Fundamental Science on Ergonomics and Environmental Control, School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China;1. Department of Mechanical Engineering, National University of Singapore, Singapore;2. Department of Modern Mechanics, University of Science and Technology of China, China;1. Mechanical Engineering Department, University of Bojnord, Bojnord 945 3155111, Iran;2. Mechanical Engineering Department, University of Shahrood, Shahrood 361 9995161, Iran;3. Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY 13699-5725, USA;1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, PR China;2. Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599, United States;3. Key Laboratory of Hydraulic Machinery Transients, Ministry of Education, Wuhan University, Wuhan 430072, PR China;1. Department of Civil, Environmental and Materials Engineering (DICAM), University of Bologna, 40136 Bologna, Italy;2. Industrial Engineering School (DEIM), University of Tuscia, Largo dell''Universitá s.n.c., 01100 Viterbo, Italy;1. Aix-Marseille Université, CNRS, Centrale Marseille, M2P2 UMR 7340, 13451, Marseille, France;2. École Centrale de Nantes, LHEEA, ECN/CNRS, Nantes, France;3. Université de Sherbrooke, Faculté de génie, Département de génie mécanique, Sherbrooke, J1K 2R1, Canada
Abstract:The lattice Boltzmann method (LBM) is a useful technique for simulating multiphase flows and modeling complex physics. Specifically, we use LBM combined with a direct-forcing (DF) immersed boundary (IB) method to simulate fluid–particle interactions in two-phase particulate flows. Two grids are used in the simulation: a fixed uniform Eulerian grid for the fluid phase and a Lagrangian grid that is attached to and moves with the immersed particles. Forces are calculated at each Lagrangian point. To exchange numerical information between the two grids, discrete delta functions are used. The resulting DF IB-LBM approach is then successfully applied to a variety of reference flows, namely the sedimentation of one and two circular particles in a vertical channel, the sedimentation of one or two spheres in an enclosure, and a neutrally buoyant prolate spheroid in a Couette flow. This last application proves that the developed approach can be used also for non-spherical particles. The three forcing schemes and the different factors affecting the simulation (added mass effect, corrected radius) are also discussed.
Keywords:Immersed boundary method  Lattice Boltzmann  Particulate flow  Forcing method
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