Thermodynamic consistency of liquid-gas lattice Boltzmann simulations

Details Thermodynamic consistency of liquid-gas lattice Boltzmann simulations Thermodynamic consistency of liquid-gas lattice Boltzmann simulations

2006-07-04

arxiv.org/abs/cond-mat/0607087v2

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 8 figures

Scientific paper

10.1103/PhysRevE.74.056703

Lattice Boltzmann simulations have been very successful in simulating liquid-gas and other multi-phase fluid systems. However, the underlying second order analysis of the equation of motion has long been known to be insufficient to consistently derive the fourth order terms that are necessary to represent an extended interface. These same terms are also responsible for thermodynamic consistency, i.e. to obtain a true equilibrium solution with both a constant chemical potential and a constant pressure. In this article we present an equilibrium analysis of non-ideal lattice Boltzmann methods of sufficient order to identify those higher order terms that lead to a lack of thermodynamic consistency. We then introduce a thermodynamically consistent forcing method.

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