Generative diffusion models for synthetic trajectories of heavy and light particles in turbulence

TL;DR

This paper extends a diffusion model to generate realistic synthetic trajectories for heavy and light particles in turbulence, capturing complex statistical properties and enabling future flow data simulations.

Contribution

It introduces a diffusion-based generative model for diverse particle types in turbulence, enhancing synthetic data generation for complex flow scenarios.

Findings

Successfully generates trajectories with correct statistical properties.

Captures fat-tail acceleration distributions and anomalous power laws.

Enables interpolation and adaptation to various flow conditions.

Abstract

Heavy and light particles are commonly found in many natural phenomena and industrial processes, such as suspensions of bubbles, dust, and droplets in incompressible turbulent flows. Based on a recent machine learning approach using a diffusion model that successfully generated single tracer trajectories in three-dimensional turbulence and passed most statistical benchmarks across time scales, we extend this model to include heavy and light particles. Given the particle type - tracer, light, or heavy - the model can generate synthetic, realistic trajectories with correct fat-tail distributions for acceleration, anomalous power laws, and scale dependent local slope properties. This work paves the way for future exploration of the use of diffusion models to produce high-quality synthetic datasets for different flow configurations, potentially allowing interpolation between different setups and adaptation to new conditions.