Finite element modeling of nonlinear dispersive field line resonances: Trapped shear Alfvén waves inside field-aligned density structures

Details Finite element modeling of nonlinear dispersive field line resonances: Trapped shear Alfvén waves inside field-aligned density structures Finite element modeling of nonlinear dispersive field line resonances: Trapped shear Alfvén waves inside field-aligned density structures

Nov 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003jgra..108.1394l&link_type=abstract

Journal of Geophysical Research, Volume 108, Issue A11, pp. SMP 5-1, CiteID 1394, DOI 10.1029/2003JA010035

Physics

Plasma Physics

11

Magnetospheric Physics: Magnetospheric Configuration And Dynamics, Magnetospheric Physics: Auroral Phenomena (2407), Magnetospheric Physics: Mhd Waves And Instabilities, Magnetospheric Physics: Magnetosphere/Ionosphere Interactions, Space Plasma Physics: Kinetic And Mhd Theory

Scientific paper

Using a new two-dimensional nonlinear finite element model, we investigate the interaction of dispersive shear Alfvén wave (SAW) field line resonances (FLRs) and ion acoustic waves in Earth's magnetosphere. We solve the full set of nonlinear reduced MHD equations self-consistently in arbitrary geometries. Initially, a Cartesian box model is used to demonstrate the reliability of our numerical solution in determining the linear and nonlinear evolution of FLRs. Then the full reduced MHD equations with the effects of electron inertia, ion Larmor radius correction, and electron thermal pressure are solved in dipolar and stretched magnetic topologies. We show that time-dependent dispersion and density steepening lead to localization of a highly structured FLR within an ionospheric (equatorial) density cavity (bump). When nonlinear effects are accounted for, we find that FLRs preferentially form in regions of low wave dispersion. Field line stretching and ponderomotive density redistribution lead to a significant reduction in FLR eigenfrequencies, bringing them into the range of observations. Nonlinear effects also cause a rapid acceleration of the timescale over which small perpendicular spatial scales appear. In our model, it is shown that density perturbations can be comparable to the equilibrium background density.

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