Extraction of initial dynamics of magnetic micro-convection

TL;DR

This paper introduces a new method to quantitatively analyze the initial dynamics of magnetic micro-convection by examining Fourier coefficients of flow snapshots, applicable to both numerical and experimental data, even with noise.

Contribution

The paper presents a novel approach for extracting initial flow dynamics in magnetic micro-convection, enhancing analysis accuracy and noise robustness compared to existing methods.

Findings

Effective in analyzing both numerical and experimental data.

Refined to handle noise in real-world measurements.

Enables direct comparison between models and experiments.

Abstract

Complex fluid flows are important in many real-life problems. For an in-depth understanding, new and more elaborate methods of flow description are necessary. Often experimental and numerical data are accumulated in large quantities however only simple flow properties are extracted. Here we show an approach that allows quantitative extraction of the initial dynamics for magnetic micro-convection. It analyzes the initial time dynamics of the Fourier coefficients of the 2D flow snapshots. We demonstrate its effectiveness in both numeric and experimental data. In addition, the method is refined to account for noise that can be present in real-world data. This method can serve as a tool to directly compare mathematical models with experiments.