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Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments.

Ricky van Kampen^1,2, Jelle de Vries^3,4,5, Siep Weiland⁶

¹DIFFER - Dutch Institute for Fundamental Energy Research, 5612 AJ, Eindhoven, The Netherlands. R.J.R.vanKampen@differ.nl.

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|February 24, 2023

Summary

This study introduces a new method to simultaneously estimate transport coefficients and source profiles from experimental data. This approach enhances computational efficiency and enables multi-dimensional analysis.

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Area of Science:

Physics
Chemical Engineering
Applied Mathematics

Background:

Transport coefficients are crucial for understanding physical and chemical processes.
Current methods often assume known source profiles and limited geometries.
Accurate estimation of transport coefficients is vital for process optimization and modeling.

Purpose of the Study:

To develop a novel method for simultaneous estimation of transport coefficients and source profiles.
To overcome limitations of existing methods focusing on specific geometries and single spatial variables.
To enable efficient and accurate analysis of complex transport phenomena.

Main Methods:

A convex solution to the inverse problem is employed for computational efficiency.
The method allows for the simultaneous estimation of transport coefficient distributions and source profiles.
This approach facilitates multi-dimensional analysis.

Main Results:

The proposed method achieves high computational efficiency.
It enables the simultaneous estimation of multi-dimensional transport coefficients and source terms.
The technique provides a robust framework for analyzing experimental data.

Conclusions:

The developed method offers a significant advancement in estimating transport coefficients and source profiles.
It paves the way for more accurate modeling of complex systems.
Future work can explore the impact of regularization on experimental data and coefficient distributions.