Velocity autocorrelation function of fluctuating particles in incompressible fluids. Toward direct numerical simulation of particle dispersions

TL;DR

This paper presents coupled simulations of Brownian particles and fluid to analyze velocity autocorrelation functions, validating the model against theory and discussing its applicable time scales for particle dispersion studies.

Contribution

It introduces a coupled simulation approach for Brownian particles in incompressible fluids and compares results with theoretical predictions.

Findings

Velocity autocorrelation functions match theoretical results.

The model's valid time scales are thoroughly discussed.

Simulations provide insights into particle dispersion dynamics.

Abstract

Motions of fluctuating Brownian particles in an incompressible viscous fluid have been studied by coupled simulations of Brownian particles and host fluid. We calculated the velocity autocorrelation functions of Brownian particles and compared them with the theoretical results. Extensive discussions have been made on the time scales for which our numerical model is valid.