Reference: N.S. Martys, Int. J. Mod. Phys. C 10, 1367-1382 (1999).

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Energy Conserving Discrete Boltzmann Equation for Non-Ideal Systems

Nicos S. Martys
National Institute of Standards and Technology
Building 226, Room B350 Gaithersburg, MD 20895

Abstract:

The BBGKY formalism is utilized to obtain a set of moment equations to be satisfied by the collision operator in an energy conserving discrete Boltzmann equation for the case of a non-local interaction potential. A modified BGK form of the collision operator consistent with these moment equations is described. In the regime of isothermal flows a previous proposed non-ideal gas model is recovered. Other approaches to constructing the collision operator are discussed. Numerical implementation of the modified BGK form, for a thermal lattice Boltzmann model, is illustrated as an example.

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