Finite Element Modeling of Nonlinear Evolution of Dispersive Field Line Resonances in Stretched Magnetic Fields

Physics

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2704 Auroral Phenomena (2407), 2708 Current Systems (2409), 2740 Magnetospheric Configuration And Dynamics, 2752 Mhd Waves And Instabilities, 2753 Numerical Modeling

Scientific paper

Using a two-dimensional finite element code, we investigate the nonlinear interaction of shear Alfvén wave (SAW) field line resonances (FLRs) and ion acoustic waves on stretched magnetic field lines in Earth's magnetosphere. Previous calculations on stretched field lines were based on a set of linearized equations or a quasi linear form of the equations with an envelope approximation. Here, we account for a consistent set of reduced non linear MHD equations. Our model also includes the effect of electron inertia, finite ion Larmor radius and electron thermal pressure. Three representative magnetic field configurations are considered, corresponding to a pure dipolar, weakly and strongly stretched field lines. It is shown that the eigenmode frequency in the stretched case considered is in the 1-4 mHz range, in agreement with observations near midnight. A significant nonlinear evolution of the wave is seen in vicinity of the resonance. The strong nonlinearity and dispersion can cause SAW to be self-trapped inside density cavities when electron inertial dominates. Double density structures are seen, however, if finite ion gyroradius and electron thermal pressure dominates. Finally, the stretched geometry results in a larger density cavities and parallel electric current.

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