Smoothed dissipative particle dynamics

Abstract

We present a fluid particle model that is both a thermodynamically consistent version of smoothed particle hydrodynamics (SPH) and a version of dissipative particle dynamics (DPD), capturing the best of both methods. The model is a discrete version of Navier-Stokes equations, like SPH, and includes thermal fluctuations, like DPD. This model solves some problems with the physical interpretation of the original DPD model.

Simulation of Individual Polymer Chains and Polymer Solutions with Smoothed Dissipative Particle Dynamics

“…In this way, the FDT is exactly satisfied at the discrete particle level [27]. Some important properties of this particular set of equations are: (i) the total mass and momentum are exactly conserved; (ii) the linear momentum is locally conserved due to the anti-symmetric property of the discretization; (iii) because the formalism has been built within the GENERIC framework [35,36], for non-isothermal situations, it is possible to define an evolution equation for a particle internal energy and/or entropy such that the system conserves total energy, and the total entropy is a monotonically increasing function of time [37].…”

“…Since a stiff equation of state is used, usually γ = 7, penetration between particles is prevented. In the SDPD formulation [27,29,34], Equation (2) represents the deterministic part of the particle dynamics. Using the GENERIC formalism [35,36], thermal fluctuations on the fluid variables can be taken into account by postulating mass and momentum fluctuations to be…”

“…In this paper, a new type of DPD method, called smoothed dissipative particles dynamics (SDPD) [27][28][29], is used to investigate the static and dynamic behavior of polymers. This model is a mesoscopic extension of a popular particle-based method applied to continuum flow, i.e., smoothed particle hydrodynamics (SPH) [30].…”

Thermodynamic properties of phase separation in shear flow

“…To understand the negligible effect of boundary shear on the mass density inside the droplets, one estimates the shear-induced viscous stress tensor in the droplet. In general, the viscous stress tensor is given by [27]  …”

A dissipative particle dynamics model for thixotropic materials exhibiting pseudo-yield stress behaviour

“…Especially, in one of DPD variants called the smoothed DPD method (sDPD) [14], the interaction forces have a specific form which comprised from the SPH discretisation of Navier-Stokes equations. Many applications of DPD method 75 or its variants in the simulations of complex fluids have been reported, e.g., sphere colloidal suspensions ( [15]; [16]; [17]; [18]; [19]; [20]), colloidal suspensions of spheres, rods, and disks [21], viscoelastic fluid [22], ferromagnetic colloidal suspension [23], magnetic colloidal dispersions [24], soft matter and polymeric applications [25], [26], lipid bilayer [27], flows of DNA suspensions [28], poly-80 mer chains [29], red blood cell modelling [30], [31]; this list is not meant to be exhaustive.…”