Toward optimal multigrid algebraic solvers in magnetohydrodynamic simulations of fusion plasmas

Speaker: Dr. Mark Adams Columbia University/PPPL


Magnetohydrodynamic simulations of tokamak fusion plasmas exhibit a large separation of temporal scales. To overcome the temporal stiffness associated with the fast compressive and Alfven waves in single-fluid resistive MHD, we consider the development of optimal implicit algorithms. We strive to achieve "textbook" multigrid efficiency in which the set of nonlinear equations is solved to discretization accuracy at each time step, with a cost equivalent to a few (less than 10) residual calculations (or work units). We present results from a few canonical MHD problems: magnetic reconnection in 2D and in the presence of a strong guide field.

Last modified: Mon Jan 14 19:03:06 EST 2008