Discrete Boltzmann model with split collision for nonequilibrium reactive flows  

作　　者：Chuandong Lin Kai H Luo Huilin Lai 

机构地区：[1]Sino-French Institute of Nuclear Engineering and Technology,Sun Yat-sen University,Zhuhai 519082,China [2]Key Laboratory for Thermal Science and Power Engineering of Ministry of Education,Department of Energy and Power Engineering,Tsinghua University,Beijing 100084,China [3]Department of Mechanical Engineering,National University of Singapore,10 Kent Ridge Crescent,119260,Singapore [4]Department of Mechanical Engineering,University College London,Torrington Place,London WC1E 7JE,United Kingdom [5]School of Mathematics and Statistics,Key Laboratory of Analytical Mathematics and Applications(Ministry of Education),Fujian Key Laboratory of Analytical Mathematics and Applications(FJKLAMA),Center for Applied Mathematics of Fujian Province(FJNU),Fujian Normal University,350117 Fuzhou,China

出　　处：《Communications in Theoretical Physics》2024年第8期164-186,共23页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(under Grant Nos. U2242214, 51806116 and 91441120);the Guangdong Basic and Applied Basic Research Foundation (under Grant Nos. 2022A1515012116and 2024A1515010927);the Natural Science Foundation of Fujian Province(under Grant Nos. 2021J01652, 2021J01655);the China Scholarship Council (No. 202306380288);partly supported by the Open Research Fund of Key Laboratory of Analytical Mathematics and Applications(Fujian Normal University),Ministry of Education,China;Support from the UK Engineering and Physical Sciences Research Council under the project ‘UK Consortium on Mesoscale Engineering Sciences (UKCOMES)’(Grant No. EP/X035875/1) is gratefully acknowledged。

摘　　要：A multi-relaxation-time discrete Boltzmann model(DBM) with split collision is proposed for both subsonic and supersonic compressible reacting flows, where chemical reactions take place among various components. The physical model is based on a unified set of discrete Boltzmann equations that describes the evolution of each chemical species with adjustable acceleration, specific heat ratio, and Prandtl number. On the right-hand side of discrete Boltzmann equations, the collision,force, and reaction terms denote the change rates of distribution functions due to self-and crosscollisions, external forces, and chemical reactions, respectively. The source terms can be calculated in three ways, among which the matrix inversion method possesses the highest physical accuracy and computational efficiency. Through Chapman-Enskog analysis, it is proved that the DBM is consistent with the reactive Navier-Stokes equations, Fick's law and the Stefan-Maxwell diffusion equation in the hydrodynamic limit. Compared with the one-step-relaxation model, the split collision model offers a detailed and precise description of hydrodynamic, thermodynamic, and chemical nonequilibrium effects. Finally, the model is validated by six benchmarks, including multicomponent diffusion, mixture in the force field, Kelvin-Helmholtz instability, flame at constant pressure, opposing chemical reaction, and steady detonation.

关 键 词：discrete Boltzmann method reactive flow DETONATION nonequilibrium effect 

分 类 号：O414[理学—理论物理]