Minimal entropic kinetic models for simulating hydrodynamics

Details Minimal entropic kinetic models for simulating hydrodynamics Minimal entropic kinetic models for simulating hydrodynamics

2002-05-24

arxiv.org/abs/cond-mat/0205510v2

Physics

Condensed Matter

10 pages, 1 Figure, Submitted to Phys. Rev. Lett., Revised content

Scientific paper

10.1209/epl/i2003-00496-6

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A simple analytical procedure of constructing the equilibrium for the nonisothermal hydrodynamics is established. A new discrete velocity model is proposed for the simulation of the Navier-Stokes-Fourier equation and is tested in the set up of Taylor vortex flow. For the lattice Boltzmann method of isothermal hydrodynamics, the explicit analytical form of the equilibrium distribution is presented.

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