Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629997 | Applied Mathematics and Computation | 2012 | 15 Pages |
Abstract
We extend Leray-α-deconvolution modeling to the incompressible magnetohydrodynamics (MHD). The resulting model is shown to be well-posed, and have attractive limiting behavior both in its filtering radius and order of deconvolution. Additionally, we present and study a numerical scheme for the model, based on an extrapolated Crank-Nicolson finite element method. We show the numerical scheme is unconditionally stable, preserves energy and cross-helicity, and optimally converges to the MHD solution. Numerical experiments are provided that verify convergence rates, and test the scheme on benchmark problems of channel flow over a step and the Orszag-Tang vortex problem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nicholas E. Wilson,