Practical Kinetic Models for Dense Fluids

A novel approach to constructing kinetic models is proposed on the basis of the separation of local and nonlocal contributions to particle interaction. The method results in a generic kinetic equation for complex fluid systems, amenable to efficient numerical realization. The main obstruction to causality caused by a coupling between the nonuniform temperature field and the nonideal equation of state is resolved based on gauge invariance of the hydrodynamic limit. A new lattice Boltzmann model is derived for compressible nonideal fluid simulation based on the Enskog-Vlasov kinetic theory as a case of practical importance.