T. Lee and P. Fischer, "Eliminating Parasitic Currents in the Lattice Boltzmann Equation Method for Nonideal Gases," Preprint ANL/MCS-P1335-0306, March 2006. [pdf]
A formulation of the intermolecular force in the nonideal gas lattice Boltzmann equation (LBE) method is examined. Discretization errors in the computation of the intermolecular force cause parasitic currents. The parasitic currents can be eliminated to round-off if the potentail form of the intermolecular force is used with compact isotropic discretization. numerical tests confirm the elimination of the parasitic currents.