A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations

摘要

This paper provides a rotational velocity-correction projection method for the unsteady incompressible magnetohydrodynamics (MHD) equations. In this method, the electrical field variable E was eliminated. In this way, the Gauss's law can be conserved. The velocity variable u and the pressure field p are solved by a rotational velocity-correction projection method. The optimal error estimates of the L-2-norm will be given. Finally, we shall present some numerical results to confirm our analysis. It shows that our method is effective and can conserve the Gauss's Law very well. (C) 2020 Elsevier Ltd. All rights reserved.