Fluid particle dynamics: a synthesis of dissipative particle dynamics and smoothed particle dynamics

TL;DR

This paper introduces a generalized dissipative particle dynamics algorithm that incorporates shear forces, conserves angular momentum, and aligns with smoothed particle dynamics, bridging microscopic simulation with macroscopic fluid behavior.

Contribution

It presents a novel algorithm combining dissipative particle dynamics with shear forces, conserving angular momentum and consistent with equilibrium statistical mechanics.

Findings

Conserves angular momentum in particle simulations.

Includes thermal fluctuations aligned with statistical mechanics.

Connects dissipative particle dynamics with Navier-Stokes resolution algorithms.

Abstract

We present a generalization of dissipative particle dynamics that includes shear forces between particles. The new algorithm has the same structure as the (isothermal) smoothed particle dynamics algorithm, except that it conserves angular momentum and includes thermal fluctuations consistently with the principles of equilibrium statistical mechanics. This clarifies the connection of dissipative particle dynamics with numerical resolution algorithms of the macroscopic Navier-Stokes equations.