Welcome to Rayleigh's documentation! ======================================== Rayleigh solves the magnetohydrodynamic 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 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