Degenerate anisotropic elliptic problems and magnetized plasma simulations
It provides a flexible numerical tool for simulating magnetized plasmas, which is important for fusion and space physics, but the results are incremental as it adapts existing techniques.
The paper develops a numerical method for degenerate anisotropic elliptic problems that works for arbitrary anisotropy directions without requiring adapted coordinates, and demonstrates its application to magnetized plasma simulations via the Euler-Lorentz system.
This paper is devoted to the numerical approximation of a degenerate anisotropic elliptic problem. The numerical method is designed for arbitrary space-dependent anisotropy directions and does not require any specially adapted coordinate system. It is also designed to be equally accurate in the strongly and the mildly anisotropic cases. The method is applied to the Euler-Lorentz system, in the drift-fluid limit. This system provides a model for magnetized plasmas.