Magnetohydrodynamics, or MHD, deals with the mutual interaction of electrically conducting fluids and magnetic fields. In particular, the magnetic fields interact with the electric currents in the fluid and exerts a Lorentz force. This feature renders it so phenomenally attractive for exploitation especially in processes involving liquid metals, and in crystal growth.
The tayloring of currents and magnetic fields offers the possibility to drive the fluid in a desired way. In this presentation, we apply an optimal control approach to a stationary incompressible MHD problem and discuss some of the challenges in its numerical solution.
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