Size consistency in Smoothed Dissipative Particle Dynamics

Abstract

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic method which allows 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.

References in corpus (9)

• Smoothed Particle Hydrodynamics and Magnetohydrodynamics
• Dissipative Particle Dynamics with energy conservation
• Dissipative Particle Dynamics with Energy Conservation
• Resolving mixing in Smoothed Particle Hydrodynamics
• The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics
• A reduced model for shock and detonation waves. II. The reactive case
• Mesodynamics with implicit degrees for freedom
• A reduced model for shock and detonation waves. I. The inert case
• New parallelizable schemes for integrating the Dissipative Particle Dynamics with Energy Conservation

Cited by in corpus (1)

• Stable schemes for dissipative particle dynamics with conserved energy