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Special CMX Seminar

Tuesday, January 7, 2025
4:00pm to 5:00pm
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Annenberg 213
Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks (PIKANs)
Juan Toscano, Graduate Student, Division of Applied Mathematics, Brown University,

We propose the Artificial Intelligence Velocimetry-Thermometry (AIVT) method to infer hidden temperature fields from experimental turbulent velocity data. This physics-informed machine learning method enables us to infer continuous temperature fields using only sparse velocity data, eliminating the need for direct temperature measurements. Specifically, AIVT is based on physics-informed Kolmogorov-Arnold Networks (not neural networks) and is trained by optimizing a combined loss function that minimizes the residuals of the velocity data, boundary conditions, and governing equations. We apply AIVT to a unique set of experimental volumetric and simultaneous temperature and velocity data of Rayleigh-Bénard convection (RBC) acquired by combining Particle Image Thermometry and Lagrangian Particle Tracking. This allows us to directly compare AIVT predictions with measurements. We demonstrate the ability to reconstruct and infer continuous and instantaneous velocity and temperature fields from sparse experimental data at a fidelity comparable to direct numerical simulations (DNS) of turbulence. This, in turn, enables us to compute important quantities for quantifying turbulence, such as fluctuations, viscous and thermal dissipation, and QR distribution. This paradigm shift in processing experimental data using AIVT to infer turbulent fields at DNS-level fidelity offers a promising approach for advancing quantitative understanding of turbulence at high Reynolds numbers, where DNS is computationally infeasible.

For more information, please contact Jolene Brink by phone at (626) 395-2813 or by email at [email protected] or visit CM+X website.