(Color online) Newton Challenge simulation box and reconnected field line sketch (top); entropy profile (defined for this figure only as ) is conserved (middle), while plasma pressure profiles change drastically from the initial one (bottom).
Numerical grid with an X point and an O point (one-fourth of the Newton Challenge box). Thin solid lines are lines of constant , while dashed lines are lines of constant . The thick solid line is the separatrix. The upper plasma boundary is prescribed, while Neumann (zero-derivative) boundary conditions are specified on the other three sides.
(Color online) Current density and magnetic field lines for the case with the boundary displacement .
Plasma pressure for the case .
Plasma pressure for the Newton Challenge . Note that as defined in this paper is of that on the axis of Fig. 1.
(Color online) Current density and magnetic field lines for the Newton Challenge geometry with .
Magnetic energy and the percentage ratio vs the Harris sheet magnetic energy in one-fourth of the domain for the zero deformation case with five different polytropic indices: , 1, , 2, and 4. The squares are values obtained using the new code, while crosses are those from MHD simulations (for ) and a numerical continuation equilibrium code (for ).
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