3D Modelling of Wave Propagation in Earth Magnetosphere

Physics

Scientific paper

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2752 Mhd Waves And Instabilities, 2753 Numerical Modeling

Scientific paper

We present results from a three-dimensional global model of Shear-Alfvén waves in the Earth magnetosphere. In this model, the plasma is described in the one-fluid ideal MHD approximation and the governing equations are discretized using finite elements on an unstructured tetrahedral mesh. Because of the strong anisotropy that characterizes magnetized plasmas, the unstructured mesh needs to be aligned along the local magnetic field lines. In practice, this implies that every tetrahedron must have two of its vertices along the same magnetic field line. Results are first presented in the linear approximation; that is, for small amplitude waves with a negligible effect on the background plasma. The evolution of driven, finite amplitude Shear-Alfvén waves is then considered by solving the full set of non linear equations. Simulations are carried for both dipolar, and stretched magnetic field geometries.

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