A discrete Boltzmann model with symmetric velocity discretization for compressible flow  

作　　者：林传栋 孙笑朋 苏咸利 赖惠林 方晓 Chuandong Lin;Xiaopeng Sun;Xianli Su;Huilin Lai;Xiao Fang(Sino-French Institute of Nuclear Engineering and Technology,Sun Yat-sen University,Zhuhai 519082,China;School of Mathematics and Statistics,the Key Laboratory of Analytical Mathematics and Applications(Ministry of Education),Fujian Key Laboratory of Analytical Mathematics and Applications(FJKLAMA),and Center for Applied Mathematics of Fujian Province(FJNU),Fujian Normal University,Fuzhou 350117,China)

机构地区：[1]Sino-French Institute of Nuclear Engineering and Technology,Sun Yat-sen University,Zhuhai 519082,China [2]School of Mathematics and Statistics,the Key Laboratory of Analytical Mathematics and Applications(Ministry of Education),Fujian Key Laboratory of Analytical Mathematics and Applications(FJKLAMA),and Center for Applied Mathematics of Fujian Province(FJNU),Fujian Normal University,Fuzhou 350117,China

出　　处：《Chinese Physics B》2023年第11期374-382,共9页中国物理B(英文版)

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 51806116, U2242214, and 11875329);Guangdong Basic and Applied Basic Research Foundation (Grant No. 2022A1515012116);the Natural Science Foundation of Fujian Province, China (Grant Nos. 2021J01652 and 2021J01655)。

摘　　要：A discrete Boltzmann model(DBM) with symmetric velocity discretization is constructed for compressible systems with an adjustable specific heat ratio in the external force field. The proposed two-dimensional(2D) nine-velocity scheme has better spatial symmetry and numerical accuracy than the discretized velocity model in literature [Acta Aerodyn. Sin.40 98108(2022)] and owns higher computational efficiency than the one in literature [Phys. Rev. E 99 012142(2019)].In addition, the matrix inversion method is adopted to calculate the discrete equilibrium distribution function and force term, both of which satisfy nine independent kinetic moment relations. Moreover, the DBM could be used to study a few thermodynamic nonequilibrium effects beyond the Euler equations that are recovered from the kinetic model in the hydrodynamic limit via the Chapman–Enskog expansion. Finally, the present method is verified through typical numerical simulations, including the free-falling process, Sod’s shock tube, sound wave, compressible Rayleigh–Taylor instability,and translational motion of a 2D fluid system.

关 键 词：discrete Boltzmann method compressible flow nonequilibrium effect kinetic method 

分 类 号：O35[理学—流体力学]