Consistent Lattice Boltzmann Method

Details Consistent Lattice Boltzmann Method Consistent Lattice Boltzmann Method

2005-07-13

arxiv.org/abs/cond-mat/0507295v1

Phys. Rev. Lett 95, 260605 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.95.260605

The problem of energy conservation in the lattice Boltzmann method is solved. A novel model with energy conservation is derived from Boltzmann's kinetic theory. It is demonstrated that the full thermo-hydrodynamics pertinent to the Boltzmann equation is recovered in the domain where variations around the reference temperature are small. Simulation of a Poiseuille micro-flow is performed in a quantitative agreement with exact results for low and moderate Knudsen numbers. The new model extends in a natural way the standard lattice Boltzmann method to a thermodynamically consistent simulation tool for nearly-incompressible flows.

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