Spectral/hp element MHD solver

A. V. Proskurin¹ - A. M. Sagalakov²

¹ Altai State Technical University, 46 Lenin pr., Barnaul 656038, Russian Federation
² Altai State University, 61 Lenin pr., Barnaul 656049, Russian Federation

Abstract
A new MHD solver based on the Nektar++ spectral/hp element framework is presented in the paper. A velocity and electric potential quasi-static MHD model is used. The Hartmann flow in a plane duct and its stability, the Hartmann flow in a rectangular duct, and the stability of Hunt's flow are studied as examples. Exponential convergence is achieved and resulting numerical values have been found to have an accuracy up to 10⁻¹² for state flows compared to an exact solution, and to 10⁻⁵ for stability eigenvalues compared to independent numerical results. Tables 4, Figs 8, Refs 16.