Lagrangian Coherent Track Initialisation (LCTI)

TL;DR

This paper introduces Lagrangian Coherent Track Initialisation (LCTI), a physics-based method leveraging FTLE to improve particle track initialization in 4D-PTV, especially in complex, high-density flows, validated on synthetic and real datasets.

Contribution

LCTI is a novel initialization technique that uses FTLE to identify coherent structures and improve particle tracking accuracy in 4D-PTV.

Findings

LCTI outperforms recent algorithms in robustness across various parameters.

LCTI maintains high accuracy in high particle concentration scenarios.

LCTI is effective in real jet impingement experiments.

Abstract

Advances in time-resolved Particle Tracking Velocimetry (4D-PTV) techniques have been consistently revealed more accurate Lagrangian particle motions. A novel track initialisation technique as a complementary part of 4D-PTV, based on local temporal and spatial coherency of neighbour trajectories, is proposed. The proposed Lagrangian Coherent Track Initialisation (LCTI) applies physics-based Finite Time Lyapunov Exponent (FTLE) to build four frame coherent tracks. We locally determine the boundaries (i.e., ridges) of Lagrangian Coherent Structures (LCS) among neighbour trajectories by using FTLE to distinguish clusters of coherent motions. To evaluate the proposed technique, we created an open-access synthetic Lagrangian and Eulerian dataset of the wake downstream of a smooth cylinder at a Reynolds number equal to 3900 obtained from 3D Direct Numerical Simulation (DNS). The dataset is available to the public. Performance of the proposed method based on three characteristic parameters, temporal scale, particle concentration (i.e., density), and noise ratio, showed robust behaviour in finding true tracks compared to the recent initialisation algorithms. Sensitivity of LCTI to the number of untracked and wrong tracks are also discussed. We address the capability of using the proposed method as a function of a 4D-PTV scheme in the Lagrangian Particle Tracking challenge for a flow with high particle densities. Finally, the LCTI behaviour was assessed in a real jet impingement experiment. LCTI was found to be a reliable tracking tool in complex flow motions, with a strength revealed for flows with high particle concentrations.