中国物理B ›› 2023, Vol. 32 ›› Issue (11): 110503-110503.doi: 10.1088/1674-1056/acea6b
Chuandong Lin(林传栋)1,†, Xiaopeng Sun(孙笑朋)1,‡, Xianli Su(苏咸利)1,§, Huilin Lai(赖惠林)2,¶, and Xiao Fang(方晓)1,||
Chuandong Lin(林传栋)1,†, Xiaopeng Sun(孙笑朋)1,‡, Xianli Su(苏咸利)1,§, Huilin Lai(赖惠林)2,¶, and Xiao Fang(方晓)1,||
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.
中图分类号: (Nonequilibrium and irreversible thermodynamics)