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Axisymmetry: Difference between revisions
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Axisymmetry is symmetry under rotation over the toroidal (i.e., cylindrical) angle φ over an arbitrary value. | Axisymmetry is symmetry under rotation over the toroidal (i.e., cylindrical) angle φ over an arbitrary value, | ||
i.e. rotation about the cylindrical axis - see [[toroidal coordinates]]. | |||
Axisymmetry is the basic assumption underlying the Grad-Shafranov Equation for the calculation of [[tokamak]] [[MHD equilibrium|equilibria]]. | Axisymmetry is the basic assumption underlying the Grad-Shafranov Equation for the calculation of [[tokamak]] [[MHD equilibrium|equilibria]]. | ||
With this assumption, the solution space of the MHD equilibrium problem is reduced from three to two dimensions. | |||
In actual magnetic confinement devices, this symmetry can only apply in an approximate fashion due to the fact that the external field coils are always discrete. | In actual magnetic confinement devices, this symmetry can only apply in an approximate fashion due to the fact that the external field coils are always discrete. | ||