Search Results for author: Alan A. Kaptanoglu

Found 4 papers, 2 papers with code

Grad-Shafranov equilibria via data-free physics informed neural networks

no code implementations22 Nov 2023 Byoungchan Jang, Alan A. Kaptanoglu, Rahul Gaur, Shaw Pan, Matt Landreman, William Dorland

A large number of magnetohydrodynamic (MHD) equilibrium calculations are often required for uncertainty quantification, optimization, and real-time diagnostic information, making MHD equilibrium codes vital to the field of plasma physics.

Uncertainty Quantification

Benchmarking sparse system identification with low-dimensional chaos

no code implementations4 Feb 2023 Alan A. Kaptanoglu, Lanyue Zhang, Zachary G. Nicolaou, Urban Fasel, Steven L. Brunton

Sparse system identification is the data-driven process of obtaining parsimonious differential equations that describe the evolution of a dynamical system, balancing model complexity and accuracy.

Benchmarking

Physics-constrained, low-dimensional models for MHD: First-principles and data-driven approaches

1 code implementation22 Apr 2020 Alan A. Kaptanoglu, Kyle D. Morgan, Chris J. Hansen, Steven L. Brunton

Galerkin models, obtained by projection of the MHD equations onto a truncated modal basis, and data-driven models, obtained by modern machine learning and system identification, can furnish this gap in the lower levels of the model hierarchy.

Computational Physics Fluid Dynamics Plasma Physics

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