A discrete Boltzmann model with symmetric velocity discretization for compressible flow

doi:10.1088/1674-1056/acea6b

Abstract 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.

Keywords: discrete Boltzmann method compressible flow nonequilibrium effect kinetic method

Received: 03 June 2023
Revised: 12 July 2023
Accepted manuscript online: 26 July 2023

PACS:	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)
	47.11.-j	(Computational methods in fluid dynamics)
	47.45.Ab	(Kinetic theory of gases)
	51.10.+y	(Kinetic and transport theory of gases)

Fund: 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), and the Natural Science Foundation of Fujian Province, China (Grant Nos. 2021J01652 and 2021J01655).

Corresponding Authors: Chuandong Lin, Xiaopeng Sun, Xianli Su, Huilin Lai, Xiao Fang
E-mail: linchd3@mail.sysu.edu.cn;sunxp6@mail2.sysu.edu.cn;suxli@mail2.sysu.edu.cn;hllai@fjnu.edu.cn;fangx26@mail.sysu.edu.cn

Cite this article:

Chuandong Lin(林传栋), Xiaopeng Sun(孙笑朋), Xianli Su(苏咸利),Huilin Lai(赖惠林), and Xiao Fang(方晓) A discrete Boltzmann model with symmetric velocity discretization for compressible flow 2023 Chin. Phys. B 32 110503

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