| We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A new discrete velocity model is proposed for the simulation of the Navier-Stokes-Fourier equation and is tested in the setup of Taylor vortex flow. A simple analytical rocedure for constructing the equilibrium for thermal hydrodynamics is establishe d. For the lattice Boltzmann method of isothermal hydrodynamics, the explicit analytical form of the equilibrium distribution is presented. This results in an entropic version of the isothermal lattice Boltzmann method with the simplicity and computational efficiency of the standard lattice Boltzmann model.
for LaTeX users @article{SAnsumali2003-63,
author = {S. Ansumali and I. V. Karlin and H. C. \"Ottinger},
title = {Minimal entropic kinetic models for hydrodynamics},
journal = {Europhys. Lett.},
volume = {63},
pages = {798-804},
year = {2003}
}
\bibitem{SAnsumali2003-63} S. Ansumali, I.V. Karlin, H.C. \"Ottinger,
Minimal entropic kinetic models for hydrodynamics,
Europhys. Lett. {\bf 63} (2003) 798-804.SAnsumali2003-63
S. Ansumali, I.V. Karlin, H.C. \"Ottinger
Minimal entropic kinetic models for hydrodynamics
Europhys. Lett.,63,2003,798-804 |
mk@mat.ethz.ch
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