Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2010-04-30
EPL (Europhysics Letters) 90, 54003 (2010)
Physics
Condensed Matter
Soft Condensed Matter
Accepted for publication in EPL
Scientific paper
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 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 $Ma \sim 5$.
Chen Fangpei
Li Yingjun
Succi Sauro
Xu Aiguo
Zhang Guangcai
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