Characteristic boundary condition for multispeed lattice Boltzmann model in acoustic problems

Chen, Xuan1; Yang, Kun1,2; Shan, Xiaowen1

2023-10-01

10.1016/j.jcp.2023.112302

JOURNAL OF COMPUTATIONAL PHYSICS   影响因子和分区

0021-9991

1090-2716

In computational aero-acoustics, the lattice Boltzmann method (LBM) has demonstrated a number of advantages such as low dissipation and high scalability. To recover the thermal equation and energy transport in a physically consistent way, the fourth order moments of LBM distribution function must be accurately captured, which in turn demands a multi speed velocity set. Accurate and economic realization of various boundary conditions with multispeed velocities has been a challenge in LBM. Here we present a boundary condition for open boundaries with arbitrarily specifiable sound reflection properties by embedding the characteristic non/partially reflecting boundary condition of finite difference (FD) method into multispeed LBM. The local one-dimensional inviscid analysis for Euler equations is used to build boundary treatment method for FD, and distribution functions are reconstructed from FD solution at open outlets as inner-domain LBM's boundary condition. The numeric scheme is validated in a number of test cases, including one-dimensional (1D) and two-dimensional (2D) propagation of acoustic, entropy and vorticity waves, and sound generation in flow past a 2D cylinder. Results show our method can achieve desired reflecting coefficient and reduce non-physical reflecting waves to a satisfactory level. & COPY; 2023 Elsevier Inc. All rights reserved.

Lattice Boltzmann method Multispeed model Aero-acoustics Non-reflecting boundary condition

SCI ; EI

英语

第一 ; 通讯

National Natural Science Foundation of China[92152107] ; Ministry of Industry and Information Technology of the People's Republic of China["J2019 -II -0006-0026","J2019 -II -0013-0033"] ; Department of Science and Technology of Guangdong Province["2019B21203001","2020B1212030001"] ; Shenzhen Science and Technology Program[KQTD20180411143441009]

Computer Science ; Physics

Computer Science, Interdisciplinary Applications ; Physics, Mathematical

WOS:001032936000001

ACADEMIC PRESS INC ELSEVIER SCIENCE

20232714353353

Acoustic fields ; Acoustic wave propagation ; Boundary conditions ; Finite difference method ; Kinetic theory

Acoustics, Noise. Sound:751 ; Acoustic Waves:751.1 ; Numerical Methods:921.6 ; Probability Theory:922.1

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
2.Southern Univ Sci & Technol, Acad Adv Interdisciplinary Studies, Shenzhen 518055, Peoples R China

Chen, Xuan,Yang, Kun,Shan, Xiaowen. Characteristic boundary condition for multispeed lattice Boltzmann model in acoustic problems[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2023,490.

Chen, Xuan,Yang, Kun,&Shan, Xiaowen.(2023).Characteristic boundary condition for multispeed lattice Boltzmann model in acoustic problems.JOURNAL OF COMPUTATIONAL PHYSICS,490.

Chen, Xuan,et al."Characteristic boundary condition for multispeed lattice Boltzmann model in acoustic problems".JOURNAL OF COMPUTATIONAL PHYSICS 490(2023).