Research
Reduced-Order Modeling
Spatiotemporal dynamical systems are ubiquitous across all areas of science and engineering. While some systems of interest can be studied through first-principles governing equations, often, the underlying dynamics are unknown. Furthermore, even for problems where equations are known, analytical solutions are rare. Computational solutions are then plagued by issues of nonlinearity, multiple relevant scales of time and space, chaos, and high-dimensionality. When parametric studies are needed, these simulations become prohibitively expensive, even under the most advance computational architectures.
Data-driven modeling of rotating detonation waves
Ariana Mendible, James Koch, Henning Lange, Steven L. Brunton, and and J. Nathan Kutz Physical Review Fluids (2021) |
Data-driven modeling of two-dimensional detonation wave fronts
Ariana Mendible, Weston Lowrie, Steven L. Brunton, and J. Nathan Kutz Wave Motion (2022) |
Dimensionality reduction and reduced-order modeling for traveling wave physics
Ariana Mendible, Steven L. Brunton, Aleksandr Y. Aravkin, and Wes Lowrie & J. Nathan Kutz Theoretical and Computational Fluid Dynamics (2020) |
Randomized nonnegative matrix factorization
N. Benjamin Erichson, Ariana Mendible, Sophie Wihlborn, and J. Nathan Kutz Pattern Recognition Letters (2018) |
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Other Work
Air flow hour meter
Ariana Mendible, Samuel A. Heard, Thanh D. Tran, and Andrew D. Hardesty US Patent No US10713858B2 (2020) |
Reduced strain mechanochemical activation onset in microstructured materials
Johanna J Schwartz, Reza Behrou, Bo Cao, Morgan Bassford, Ariana Mendible, Courtney Shaeffer, Andrew J Boydston, and Nicholas Boechler Polymer Chemistry (2020) |
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