Special CMX Seminar
I am a Ph.D. student in the Division of Applied Mathematics at Brown University. I earned my Bachelor's in Mechanical Engineering from the Universidad de las Fuerzas Armadas ESPE in Ecuador. My research journey began as an undergraduate when I collaborated remotely with the University at Buffalo on several projects, exploring machine learning modeling of physical systems. Since 2022, I have been working under the mentorship of Prof. George Karniadakis, delving into the realm of scientific machine learning (SciML). My research focuses on obtaining reliable and stable machine learning methods to study and understand complex physical systems that cannot be analyzed using traditional methods (e.g., cerebrospinal fluid). To this end, I am currently developing optimization methods for physics-informed neural networks and artificial intelligence velocimetry (AIV).
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-BĂ©nard 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.