The authors derive an algorithm for fixed-boundary 3D MHD equilibrium solvers that works with general computational boundaries where magnetic field lines can cross, pressure varies, and currents are not tangent to the boundary.
Temam,Navier–Stokes Equations: Theory and Nu- merical Analysis(North-Holland, Amsterdam, 1977)
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Computational boundary specification in 3D fixed-boundary magnetohydrodynamic equilibrium modeling
The authors derive an algorithm for fixed-boundary 3D MHD equilibrium solvers that works with general computational boundaries where magnetic field lines can cross, pressure varies, and currents are not tangent to the boundary.