2010/04/30 by Feng Chen, Aiguo Xu, Guangcai Zhang +2 · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Boltzmann equation #Classical mechanics #Compressibility #Distribution function #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #HPP model #Heat transfer #Lattice Boltzmann Simulation Studies #Lattice Boltzmann methods #Mach number #Magnetic Prandtl number #Mathematical analysis #Mathematics #Mechanics #Nusselt number #Physics #Prandtl number #Reynolds number #Statistical physics #Thermodynamics #Turbulent Prandtl number #cond-mat.soft #cs.CE #nlin.CG #physics.comp-ph #physics.flu-dyn #stat.CO
paper · pdf · doi:10.1209/0295-5075/90/54003
published as EPL (Europhysics Letters) 90, 54003 (2010) · Accepted for publication in EPL
arxiv created 2010/06/01 · openalex publication_date 2010/06/01 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.