A Finite Element Interior Penalty Method for MHD in heterogeneous domains

The Maxwell equations in the MHD limit in heterogeneous domains composed of conducting and nonconducting regions are solved by using Lagrange finite elements and by enforcing continuities across interfaces using an interior penalty technique. The method is shown to be stable and convergent and is validated by convergence tests. It is used to...

A Reinterpretation of the Non-Linear Galerkin Method as a Large Eddy Simulation Technique

The purpose of this paper is to show that the Fourier-based Nonlinear Galerkin Method (NLGM) constructs suitable weak solutions to the periodic Navier--Stokes equations in three dimensions. We re-interpret NLGM as a Large-Eddy Simulation technique (LES) and we rigorously deduce a relationship between the mesh size and the large-eddy scale.