Molecular dynamics, smoothed-particle applied mechanics, and irreversibility

Abstract

Ahstract-We explore the relationship of Monaghan's version of "smoothed-particle hydro dynamics," here called "smoothed-particle applied mechanics," to nonequilibrium molecular dynam ics. We first use smoothed particles to model the simplest possible linear transport problems, as well as a liquid-drop problem. We then consider both gas-phase and dense-fluid versions of Rayleigh-Benard convection, all in two space dimensions. We also discuss the possibility of combining the microscopic and macroscopic techniques in a hybrid scheme well-suited to the massively-parallel modelling of large-scale nonequilibrium flows.

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

“…Hoover and his co-workers have first noted the similarity between the particle methods of molecular dynamics and smoothed particle hydrodynamics, and described the inherent links between them [361][362][363]. Espanol and his colleagues, when studying the dissipative particle dynamics method for meso-scale applications, proposed a fluid particle dynamics model, which is actually a synthesis of dissipative particle dynamics and smoothed particle dynamics [96,364].…”

SPH simulations of transient viscoelastic flows at low Reynolds number

“…It should be noticed that (22) is the strictest condition on the time step for simulation characterised by high resolution (small h) or, as for those ones performed here, by a large viscosity.…”

“…Very recently, a turbulence model has been implemented in SPH, which is based on the Camassa-Holm closure equation [21]. In addition, very interesting links have been discussed between the macroscopic SPH and, respectively, molecular dynamics (MD) [22,23] and dissipative particle dynamics methods (DPD) [24] which belong to the class of microscopic techniques. Accuracy and convergence for the SPH discretisation has been finally elucidated in [25].…”

A Discrete Approach to Meshless Lagrangian Solid Modeling

“…Attempts have previously been made to branch off SPH to apply to solid modeling; this has been referred to as smoothed particle applied mechanics (SPAM) [23][24][25][26]. SPAM has its origins as an effort to model planetary interaction in space, as well as statistical mechanics [27].…”