Self-consistent force scheme in the spectral multiple-relaxation-time lattice Boltzmann model

Li，Xuhui1; Li，Zuoxu2; Duan，Wenyang1; Shan，Xiaowen3

2024

10.1103/PhysRevE.109.015301

Physical Review E   影响因子和分区

2470-0045

2470-0053

In the present work, the force term is first derived in the spectral multiple-relaxation-time high-order lattice Boltzmann model. The force term in the Boltzmann equation is expanded in the Hermite temperature rescaled central moment space (RCM), instead of the Hermite raw moment space (RM). The contribution of nonequilibrium RCM moments beyond second order are neglected. For the collision operator in the RCM space, each order of the force term can be incorporated directly. Through the transformation between the RCM space and the RM space, the force term for practical numerical implementation in the RM space can be derived. It can be demonstrated that the present force scheme is self-consistent for the isothermal flow and compressible thermal flow with adjustable Prandtl number via the numerical experiments.

SCI ; EI

英语

其他

PHYSICS

2-s2.0-85182400759

Scopus

1.College of ShipBuilding Engineering,Harbin Engineering University,Harbin,Heilongjiang,150001,China
2.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China
3.BNU-HKBU United International College,Zhuhai,Guangdong,519087,China

Li，Xuhui,Li，Zuoxu,Duan，Wenyang,et al. Self-consistent force scheme in the spectral multiple-relaxation-time lattice Boltzmann model[J]. Physical Review E,2024,109(1).

Li，Xuhui,Li，Zuoxu,Duan，Wenyang,&Shan，Xiaowen.(2024).Self-consistent force scheme in the spectral multiple-relaxation-time lattice Boltzmann model.Physical Review E,109(1).

Li，Xuhui,et al."Self-consistent force scheme in the spectral multiple-relaxation-time lattice Boltzmann model".Physical Review E 109.1(2024).