Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:394

Article

Feng, Yongliang¹  Boivin, Pierre¹  Jacob, Jerome¹  Sagaut, Pierre¹ 

[1] Aix Marseille Univ, CNRS, Cent Marseille, M2P2, Marseille, France

关键词: Compressible flows;    Thermal lattice Boltzmann model;    Equation of state;    Mach number;    Recursive regularized;   

DOI  :  10.1016/j.jcp.2019.05.031

来源: Elsevier

【 摘 要 】

A thermal lattice Boltzmann model with a hybrid recursive regularization (HRR) collision operator is developed on standard lattices for simulation of subsonic and sonic compressible flows without shock. The approach is hybrid: mass and momentum conservation equations are solved using a lattice Boltzmann solver, while the energy conservation is solved under entropy form with a finite volume solver. The defect of Galilean invariance related to Mach number is corrected by the third order equilibrium distribution function, supplemented by an additional correcting term and hybrid recursive regularization. The proposed approach is assessed considering the simulation of i) an isentropic vortex convection, ii) a two dimensional acoustic pulse and iii) non-isothermal Gaussian pulse with Ma number in range of 0 to 1. Numerical simulations demonstrate that the flaw in Galilean invariance is effectively eliminated by the compressible HRR model. At last, the compressible laminar flows over flat plate at Ma number of 0.3 and 0.87, Reynolds number of 10(5) are considered to validate the capture of viscous and diffusive effects. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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