Application of Lattice Boltzmann Method to Simulation of Compressible Turbulent Flow
Congshan Zhuo 1, Chengwen Zhong 2, Kai Li 1, Shengwei Xiong 1, Xiaopeng Chen 3, Jun Cao 4*1 National Key Laboratory of Science and Technology on Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China.
2 National Key Laboratory of Science and Technology on Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China; and Center for High Performance Computing, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China.
3 School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China.
4 Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ontario, M5B 2K3, Canada.
Received 30 January 2010; Accepted (in revised version) 7 May 2010
Available online 23 June 2010
The main goal of this paper is to develop the coupled double-distribution-function (DDF) lattice Boltzmann method (LBM) for simulation of subsonic and transonic turbulent flows. In the present study, we adopt the second-order implicit-explicit (IMEX) Runge-Kutta schemes for time discretization and the Non-Oscillatory and Non-Free-Parameters Dissipative (NND) finite difference scheme for space discretization. The Sutherland's law is used for expressing the viscosity of the fluid due to considerable temperature change. Also, the Spalart-Allmaras (SA) turbulence model is incorporated in order for the turbulent flow effect to be pronounced. Numerical experiments are performed on different turbulent compressible flows around a NACA0012 airfoil with body-fitted grid. Our numerical results are found to be in good agreement with experiment data and/or other numerical solutions, demonstrating the applicability of the method presented in this study to simulations of both subsonic and transonic turbulent flows.AMS subject classifications: 76M28, 82B40, 76N15, 76F55
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Key words: Lattice Boltzmann method, compressible turbulent flow, airfoil, body-fitted grid.
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