title: Size consistency in smoothed dissipative particle dynamics.
abstract: Smoothed dissipative particle dynamics (SDPD) is a mesoscopic method that allows one to select the level of resolution at which a fluid is simulated. In this work, we study the consistency of the resulting thermodynamic properties as a function of the size of the mesoparticles, both at equilibrium and out of equilibrium. We also propose a reformulation of the SDPD equations in terms of energy variables. This increases the similarities with dissipative particle dynamics with energy conservation and opens the way for a coupling between the two methods. Finally, we present a numerical scheme for SDPD that ensures the conservation of the invariants of the dynamics. Numerical simulations illustrate this approach.
authors.affiliation: CEA, DAM, DIF, F-91297 Arpajon, France.
authors.forename: Gérôme
authors.initials: G
authors.lastname: Faure
authors.affiliation: CEA, DAM, DIF, F-91297 Arpajon, France.
authors.forename: Jean-Bernard
authors.initials: JB
authors.lastname: Maillet
authors.affiliation: Université Paris-Est, CERMICS (ENPC), INRIA, F-77455 Marne-la-Vallée, France.
authors.forename: Julien
authors.initials: J
authors.lastname: Roussel
authors.affiliation: Université Paris-Est, CERMICS (ENPC), INRIA, F-77455 Marne-la-Vallée, France.
authors.forename: Gabriel
authors.initials: G
authors.lastname: Stoltz