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Rayleigh: MHD in Spherical Geometry

Rayleigh solves the magnetohydrodynamic (MHD) equations, in a rotating frame, within spherical shells, using the anelastic or Boussinesq approximations. Derivatives in Rayleigh are calculated using a spectral transform scheme. Spherical harmonics are used as basis functions in the horizontal direction. Chebyshev polynomials or finite-differences are employed in radius. Time-stepping is accomplished using the semi-implicit Crank-Nicolson method for the linear terms, and the Adams-Bashforth method for the nonlinear terms. Both methods are second-order in time.

This documentation is structured into the following sections:

.. toctree::
   :maxdepth: 1

   doc/source/User_Guide/index.rst
   doc/source/citing_rayleigh
   doc/source/accessing_and_sharing_data
   doc/source/research_enabled_by_rayleigh
   doc/source/quick_reference
   doc/source/getting_help