Volume 90, Number 5, June 2010
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||02 July 2010|
Multiple-relaxation-time lattice Boltzmann approach to compressible flows with flexible specific-heat ratio and Prandtl number
State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology (Beijing) - Beijing 100083, PRC
2 National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26, Beijing 100088, PRC
3 Istituto Applicazioni Calcolo-CNR - Viale del Policlinico 137, 00161, Roma, Italy, EU
Corresponding author: Xu_Aiguo@iapcm.ac.cn
Accepted: 30 May 2010
A new multiple-relaxation-time lattice Boltzmann scheme for compressible flows with arbitrary specific-heat ratio and Prandtl number is presented. In the new scheme, which is based on a two-dimensional 16-discrete-velocity model, the kinetic moment space and the corresponding transformation matrix are constructed according to the seven-moment relations associated with the local-equilibrium distribution function. In the continuum limit, the model recovers the compressible Navier-Stokes equations with flexible specific-heat ratio and Prandtl number. Numerical experiments show that compressible flows with strong shocks can be simulated by the present model up to Mach numbers Ma ~ 5.
PACS: 47.11.-j – Computational methods in fluid dynamics / 51.10.+y – Kinetic and transport theory of gases / 05.20.Dd – Kinetic theory
© EPLA, 2010
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