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A novel incompressible finite-difference lattice Boltzmann equation for particle-laden flow

Acta Mechanica Sinica 2005年第6期21卷 574-581页

作者： sheng chen zhaohui liu baochang shi zhu he chuguang zheng State Key Laboratory of Coal Combustion Hua Zhong University of Science and Technology Wuhan 430074 China

In this paper, we propose a novel incompressible finite-difference lattice Boltzmann Equation （FDLBE）. Because source terms that reflect the interaction between phases can be accurately described, the new model is suitable for simulating two-way coupling incompressible multiphase flow The 2-D particle-laden flow over a backward-facing step is chosen as a test case to validate the present method. Favorable results are obtained and the present scheme is shown to have good prospects in practical applications.

关键词： Finite difference lattice Boltzmann equation Two-way coupling Multiphase flow Incompressible

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A simple lattice Boltzmann scheme for low Mach number reactive flows

引用

Science China(Technological Sciences) 2006年第6期49卷 714-726页

作者： chen sheng1,2, liu zhaohui2, ZHANG Chao2, he zhu2, TIAN Zhiwei2, shi baochang 2 & zheng chuguang2 1. Technology Center of Wuhan Iron and Steel (Group) Company, Wuhan 430080, China 2. State Key Laboratory of Coal Combustion, Hua Zhong University of Science and Technology, Wuhan 430074, China Technology Center of Wuhan Iron Steel [Group] Company Wuhan 430080 China State Key Laboratory of Coal Combustion Hua Zhong University of Science Technology Wuhan 430074 China

For simulating low Mach number reactive flows, a simple and coupled lattice Boltzmann (CLB) scheme is proposed, by which the fluid density can bear significant changes. Different from the existing hybrid lattice Boltzmann (HLB) scheme and non-coupled lattice Boltzmann (NCLB) scheme, this scheme is strictly lattice Boltzmann style and the fluid density couples directly with the temperature. Because it has got rid of the constraint of traditional thought in lattice Boltzmann scheme,on the basis of the equality among the particle speed c, the time step △t and the lattice grid spacing △x held, both c and △t can be adjusted in this scheme according to a "characteristic temperature" instead of the local temperature. The whole algorithm becomes more stable and efficient besides inheriting the intrinsically outstanding strong points of conventional lattice Boltz-mann scheme. In this scheme, we also take into account different molecular weights of species, so it is more suitable for simulating actual low Mach number reactive flows than previous work. In this paper, we simulated a so-called "counter-flow" premixed propane-air flame, and the results got by our scheme are much better than that obtained by NCLB. And the more important thing is that the exploration in this work has offered a kind of brand-new train of thought for building other novel lattice Boltzmann scheme in the future.

关键词： lattice Boltzmann, low Mach number flows, reactive flows, simulation.

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