title: Modeling multiphase flow using fluctuating hydrodynamics.
abstract: Fluctuating hydrodynamics provides a model for fluids at mesoscopic scales where thermal fluctuations can have a significant impact on the behavior of the system. Here we investigate a model for fluctuating hydrodynamics of a single-component, multiphase flow in the neighborhood of the critical point. The system is modeled using a compressible flow formulation with a van der Waals equation of state, incorporating a Korteweg stress term to treat interfacial tension. We present a numerical algorithm for modeling this system based on an extension of algorithms developed for fluctuating hydrodynamics for ideal fluids. The scheme is validated by comparison of measured structure factors and capillary wave spectra with equilibrium theory. We also present several nonequilibrium examples to illustrate the capability of the algorithm to model multiphase fluid phenomena in a neighborhood of the critical point. These examples include a study of the impact of fluctuations on the spinodal decomposition following a rapid quench, as well as the piston effect in a cavity with supercooled walls. The conclusion in both cases is that thermal fluctuations affect the size and growth of the domains in off-critical quenches.
authors.affiliation: Computational Research Division, Lawrence Berkeley National Lab, Berkeley, California 94720, USA.
authors.forename: Anuj
authors.initials: A
authors.lastname: Chaudhri
authors.affiliation: Computational Research Division, Lawrence Berkeley National Lab, Berkeley, California 94720, USA.
authors.forename: John B
authors.initials: JB
authors.lastname: Bell
authors.affiliation: Department of Physics and Astronomy, San Jose State University, San Jose, California 95192, USA.
authors.forename: Alejandro L
authors.initials: AL
authors.lastname: Garcia
authors.affiliation: Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA.
authors.forename: Aleksandar
authors.initials: A
authors.lastname: Donev
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005740:Gases; D057446:Hydrodynamics; D015233:Models, Statistical; D044367:Phase Transition; D011312:Pressure; D013269:Stochastic Processes; D013499:Surface Properties; D013696:Temperature; D014783:Viscosity
chemical_list: D005740:Gases