Direct numerical simulation of dispersed particles in a compressible fluid

TL;DR

This paper introduces a direct numerical simulation method to study the behavior of dispersed particles in a compressible fluid, validating it through known solutions and fluctuation analysis, providing insights into particle-fluid interactions.

Contribution

The paper develops and validates a novel direct numerical simulation approach for dispersed particles in compressible fluids, incorporating fluctuations and comparing results with theoretical predictions.

Findings

Simulation accurately reproduces velocity relaxation of particles.

Fluctuation effects align with the fluctuation-dissipation theorem.

Provides detailed insights into fluid and particle dynamics.

Abstract

We present a direct numerical simulation method for investigating the dynamics of dispersed particles in a compressible solvent fluid. The validity of the simulation is examined by calculating the velocity relaxation of an impulsively forced spherical particle with a known analytical solution. The simulation also gives information about the fluid motion, which provides some insight into the particle motion. Fluctuations are also introduced by random stress, and the validity of this case is examined by comparing the calculation results with the fluctuation-dissipation theorem.