Temperature-scaled collision process for the high-order lattice Boltzmann model

Li, Xuhui; Shi, Yangyang; Shan, Xiaowen

2019-07-02

10.1103/PhysRevE.100.013301

PHYSICAL REVIEW E   影响因子和分区

2470-0045

2470-0053

We postulate that the relaxations of the distribution function in the lattice Boltzmann model should be self-similar under temperature scaling. Based on this postulation, a multiple-relaxation-time collision model in the relative, temperature-scaled reference frame is devised with Hermite expansion. Resorting to the relation between the Hermite basis with the temperature-scaled relative velocity and the Hermite basis with the raw velocity, the relaxations in the temperature-scaled reference frame can be converted to those in the raw reference frame with some correction terms to eliminate the cross-talk effects among the relaxations of different orders. The highest-order nonequilibrium relative central moment is filtered due to the insufficient discrerization in the velocity space. The highest-order collision term can be recursively obtained from the lower-order collision terms. The improved performance is validated by the double shear layer flow, shock tube flow, and the Taylor-Green vortex flow.

SCI ; EI

英语

第一 ; 通讯

National Science Foundation of China[91741101] ; National Science Foundation of China[91752204]

Physics

Physics, Fluids & Plasmas ; Physics, Mathematical

WOS:000473539400006

AMER PHYSICAL SOC

20193207274322

Distribution functions ; Electroosmosis ; Shock tubes ; Vortex flow

Fluid Flow, General:631.1 ; Electricity: Basic Concepts and Phenomena:701.1 ; Probability Theory:922.1

PHYSICS

Web of Science

Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Guangdong, Peoples R China

Li, Xuhui,Shi, Yangyang,Shan, Xiaowen. Temperature-scaled collision process for the high-order lattice Boltzmann model[J]. PHYSICAL REVIEW E,2019,100(1).

Li, Xuhui,Shi, Yangyang,&Shan, Xiaowen.(2019).Temperature-scaled collision process for the high-order lattice Boltzmann model.PHYSICAL REVIEW E,100(1).

Li, Xuhui,et al."Temperature-scaled collision process for the high-order lattice Boltzmann model".PHYSICAL REVIEW E 100.1(2019).