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Flux surface - FusionWiki

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everywhere on S. In other words, the magnetic field does not cross the surface S anywhere, i.e., the magnetic flux traversing S is zero. It is then possible to define a scalar flux function (f) such that its value is constant on the surface S, and In three dimensions, the only closed flux surface corresponding to a non-vanishing vector field is a topological toroid. [1] This fact lies at the basis of the design of magnetic confinement devices. Assuming the flux surfaces have this toroidal topology, the function f defines a set of nested surfaces, so it makes sense to use this function to label the flux surfaces, i.e., f may be used as a "radial" coordinate. Each toroidal surface f encloses a volume V(f). The surface corresponding to an infinitesimal volume V is essentially a line that corresponds to the toroidal axis (called magnetic axis when B is a magnetic field). The flux F through an arbitrary surface S is given by When B is a magnetic field with toroidal nested flux surfaces, two

Flux surface - FusionWiki Flux surface From FusionWiki Jump to navigation Jump to search A given smooth surface S with normal n is a flux surface of a smooth vector field B when B → ⋅ n → = 0 everywhere on S . In other words, the magnetic field does not cross the surface S anywhere, i.e., the magnetic flux traversing S is zero. It is then possible to define a scalar flux function ( f ) such that its value is constant on the surface S , and B → ⋅ ∇ → f = 0 In three dimensions, the only closed flux surface corresponding to a non-vanishing vector field is a topological toroid

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