Accuracy of high-order lattice Boltzmann method for non-equilibrium gas flow

Shi, Yangyang1,2,3; Wu, Lei3; Shan, Xiaowen2,3

2020-11-25

10.1017/jfm.2020.813

JOURNAL OF FLUID MECHANICS   影响因子和分区

0022-1120

The lattice Boltzmann method (LBM), which was originally designed for near-incompressible Navier-Stokes flows, has been extended to rarefied gas flows with high-order quadrature in recent years. Although the ability of the high-order LBM to capture rarefaction effects has been demonstrated by many authors, its accuracy and efficiency are often undermined by numerical dissipation introduced by the off-lattice abscissas in Gauss-Hermite quadrature. Here, using the spontaneous Rayleigh-Brillouin scattering problem as the benchmark, we assess the accuracy and efficiency of the high-order LBM with on-lattice quadrature rules up to 39th order. The numerical error comprises two parts, one due to the rarefaction effect and the other due to temporal-spatial discretization, and we find that the former depends not only on the number of discrete velocities, but also on their distribution in velocity space. With a quadrature of 29th order, the error between the LBM and the discrete velocity method is found to be below 1 % up to Kn = 2.0 . Compared with a finite-volume Bhatnagar-Gross-Krook solver using Gauss-Hermite quadrature, the on-lattice LBM has a numerical dissipation several orders of magnitude lower, and achieves the same accuracy with fewer discrete velocities.

rarefied gas flow

SCI ; EI

英语

通讯

National Science Foundation of China[91741101][91752204] ; Department of Science and Technology of Guangdong Province[2019B21203001] ; Shenzhen Science and Technology Program[KQTD20180411143441009] ; Science and Technology Innovation Committee of Shenzhen[K19325001]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000592349500001

CAMBRIDGE UNIV PRESS

20204809558673

Kinetic theory ; Navier Stokes equations ; Gases ; Velocity ; Brillouin scattering ; Flow of gases

Gas Dynamics:631.1.2 ; Light/Optics:741.1 ; Production Engineering:913.1 ; Calculus:921.2

ENGINEERING

Web of Science

1.Harbin Inst Technol, Sch Astronaut, Harbin 150001, Heilongjiang, Peoples R China
2.Southern Univ Sci & Technol, Guangdong Prov Key Lab Turbulence Res & Applicat, Shenzhen 518055, Guangdong, Peoples R China
3.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Guangdong, Peoples R China

Shi, Yangyang,Wu, Lei,Shan, Xiaowen. Accuracy of high-order lattice Boltzmann method for non-equilibrium gas flow[J]. JOURNAL OF FLUID MECHANICS,2020,907.

Shi, Yangyang,Wu, Lei,&Shan, Xiaowen.(2020).Accuracy of high-order lattice Boltzmann method for non-equilibrium gas flow.JOURNAL OF FLUID MECHANICS,907.

Shi, Yangyang,et al."Accuracy of high-order lattice Boltzmann method for non-equilibrium gas flow".JOURNAL OF FLUID MECHANICS 907(2020).