195 citations · 419 across the 28 of their papers we have counts for
3 papers · 1 filter
MRX: A differentiable 3D MHD equilibrium solver without nested flux surfaces
Tobias Blickhan, Julianne Stratton, Alan A. Kaptanoglu
This article introduces the 3D magnetohydrodynamic (MHD) equilibrium solver MRX, based on relaxation of a magnetic field to a lower energy equilibrium state via admissible variatio…
Extending the trapping theorem to provide local stability guarantees for quadratically nonlinear models
Mai Peng, Alan Kaptanoglu, Chris Hansen +3
The Navier Stokes equations (NSEs) are partial differential equations (PDEs) to describe the nonlinear convective motion of fluids and they are computationally expensive to simulat…
Physics-constrained, low-dimensional models for MHD: First-principles and data-driven approaches
Alan A. Kaptanoglu, Kyle D. Morgan, Chris J. Hansen +1
Plasmas are highly nonlinear and multi-scale, motivating a hierarchy of models to understand and describe their behavior. However, there is a scarcity of plasma models of lower fid…