A rotational pressure-correction projection methods for unsteady incompressible Magnetohydrodynamics equations

摘要

In this report, a pressure-correction projection scheme in rotational form for the unsteady incompressible magnetohydrodynamics(MHD) equations is given. This method uses the relations of the fluid velocity variable u, the magnetic field variable B and the electrical field variable E, the electrical field variable E were preserved. The theory analysis proves that the rotation form of the algorithm provides optimal error estimates in terms of the H1-norm of the velocity and of the L2-norm of the pressure. The numerical analysis shows that our method is stable and has an optimal convergence rate.