Partitioned Second Order Method for Magnetohydrodynamics in Elsässer Fields
نویسندگان
چکیده
Magnetohydrodynamics (MHD) studies the dynamics of electrically conducting fluids, involving Navier-Stokes equations coupled with Maxwell equations via Lorentz force and Ohm’s law. Monolithic methods, which solve fully coupled MHD systems, are computationally expensive. Partitioned methods, on the other hand, decouple the full system and solve subproblems in parallel, and thus reduce the computational cost. In this report we propose and analyzes a second-order in time partitioned method for the MHD system in the Elsässer variables. We perform stability analysis, show that the method is stable for the magnetic Prandtl number of order unity, derive error estimates and present a numerical test supporting the theoretical results.
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