Abstract Details
Abstracts
Author: Erik Hansen
Requested Type: Poster
Submitted: 2025-03-12 10:01:47
Co-authors: A. Shukla, D.R. Hatch. P. Sharma, J. Walker, P.J. Morrison, S.M. Mahajan
Contact Info:
University of Texas at Austin
2515 Speedway, C1600
Austin, TX 78712
U.S.A.
Abstract Text:
The incompressible Hall MHD system exhibits two branches of waves with whistler and cyclotron frequencies at large wavenumbers. To produce a slow nonlinear wave interaction, these waves must satisfy a resonance condition as shown in the work of Mahajan 2021. This resonance condition and other properties of the Hall MHD system are studied by means of a Fourier pseudospectral Hall MHD simulation into these four waves. Presence of strong nonlinear interactions as predicted by the resonance condition is tested through initialization of a three-wave system. In this simulation, Strang splitting is applied to exactly integrate the forcing and dissipation terms, and the implicit midpoint rule is used to integrate the ideal fluid terms in a way that conserves the quadratic energy and helicities, as required by the three wave interactions. The results of the simulation are decomposed into the four waves, and the total energy in each wave, the energy spectra, longitudinal and transverse structure functions, and the Goldreich-Sridhar nonlinearity parameter are obtained for each type of wave.
Characterization: 1.0
Comments: