基于添加粘度抵消项的 MRT-LBM 对高雷诺数流态的研究

Abstract

Abstract:

This paper explores the maximum Reynolds number that can be simulated by the multiple-relaxation-time lattice Boltzmann method with viscosity counteracting (MRT-VC). Firstly, the accuracy of the model is validated by simulating the classic 2D lid-driven cavity flow. The focus is on the flow fields at Reynolds numbers of 5430 and 7000, analyzing the flow fields, vortex core coordinates, axial velocity, and velocity spectra. Secondly, as the simulated Reynolds number increases, the number of swirling vortices in the flow field gradually increases. The flow exhibits a sequence of stable flow, periodic flow, incomplete chaotic flow, and chaotic flow. The critical transition Reynolds number from stable flow to periodic flow is between 10000 and 12500, from periodic flow to incomplete chaotic flow is between 45000 and 50000, and from incomplete chaotic flow to chaotic flow is between 95000 and 100000.

Key words: Multiple-relaxation-time lattice Boltzmann method, Viscosity counteracting approach, High reynolds number flow, Critical transition reynolds number

CLC Number:

O357.5

Zhang Zongning, Zhang Qiaoling, Jing Hefang, Shen Qixia. Research on High Reynolds Number Flow Using MRT-LBM with Viscosity Counteracting[J].Acta mathematica scientia,Series A, 2024, 44(5): 1216-1229.

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References 27

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Research on High Reynolds Number Flow Using MRT-LBM with Viscosity Counteracting

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