Constraint boundary conditions for the Ideal MHD equations

CÉCERE, M.; LEHNER, L.; O. REULA

Workshop; Firsta International School on Astronomy adn Geophysics; 2008

We study and develop constraint preserving boundary conditions for the Newtonian magnetohydrodynamic equations and analyze the behavior of the numerical solution upon considering different possible options. We concentrate on both the standard ideal MHD system and the one augmented by a ?pseudo potential? to control the divergence free constraint. We show how the boundary conditions developed significantlyreduce the violations generated at the boundaries at the numerical leveland how lessen their influence in the interior of the computational domainby making use of the available freedom in the equations.