Characterizing Lagrangian particle dynamics in decaying HIT using proper orthogonal decomposition

TL;DR

This paper introduces the particle proper orthogonal decomposition (PPOD) method to analyze particle dynamics in decaying homogeneous isotropic turbulence, providing a new tool for modal analysis and trajectory approximation in multiphase flows.

Contribution

The paper demonstrates the PPOD method on particle flows in turbulence, showing its ability to extract statistical info and analyze fluid-particle interactions without assumptions.

Findings

PPOD effectively extracts statistical information from particle flows.

PPOD modes can approximate particle trajectories and velocities.

The method provides a new approach for modal analysis in multiphase turbulence.

Abstract

The particle proper orthogonal decomposition (PPOD) is demonstrated on cases of particle flows in decaying homogeneous isotropic turbulence. Data is generated through one-way coupled simulations, where particle positions and velocities are integrated forward in time in a Lagrangian manner. The PPOD offers a direct way of extracting statistical information on the dispersed (discrete) phase of multiphase flows without any underlying assumptions. Furthermore, the method gives the possibility of modal analysis of fluid-particle interactions in multiphase flows, an example of which is provided in this work. The results demonstrate a proof of concept of the PPOD, and potential of applicability. Additionally, the results suggest that the PPOD-modes can be used for approximating particle trajectories/velocities within turbulent flows.