April 4-6

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approvedsherwood_22_poster.pdf2022-04-03 19:14:41Ben Zhu
approveddewar_qu_2022.pdf2022-03-04 00:41:36Robert Dewar


Author: Robert L Dewar
Requested Type: Poster
Submitted: 2022-03-04 00:30:55

Co-authors: Z.S. Qu

Contact Info:
The Australian National University
Hannah Neumann Bldg, Science R
Canberra, ACT   2601

Abstract Text:
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. doi:10.1017/S0022377821001355