A Virtual Simons Hour Talk: Relaxed MHD with Ideal Ohm’s Law Constraint (part 2)

Given by: Robert Dewar
Affiliation: The Australian National University

Note the time: 8:00am EST / 13:00 UTC.
Zoom link will be sent via email.

ABSTRACT: The gap between a recently developed dynamical version of relaxed magnetohydrodynamics (RxMHD) and ideal MHD (IMHD) is bridged by approximating the zero-resistivity "Ideal" Ohm's Law (IOL) constraint using an augmented Lagrangian method borrowed from optimization theory. The augmentation combines a pointwise vector Lagrange multiplier method and global penalty function method and can be used either for iterative enforcement of the IOL to arbitrary accuracy, or for constructing a continuous sequence of magnetofluid dynamics models running between RxMHD (no IOL) and weak IMHD (IOL almost everywhere). This is illustrated by deriving dispersion relations for linear waves on an MHD equilibrium.