Volume enclosed by a flux surface
Robert S. MacKay
TL;DR
This paper presents methods to efficiently compute the volume enclosed by a flux surface in a magnetic field by reducing the problem from a three-dimensional integral to a two-dimensional integral.
Contribution
It introduces a novel reduction technique that simplifies the calculation of flux surface volumes from 3D to 2D integrals.
Findings
Reduction from 3D to 2D integrals is feasible and accurate.
The method improves computational efficiency for flux surface volume calculations.
Applicable to magnetic confinement fusion research and plasma physics.
Abstract
The paper describes ways that the computation of the volume enclosed by an invariant torus (flux surface) for a magnetic field can be reduced from a 3D integral to a 2D integral.
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Taxonomy
TopicsCharacterization and Applications of Magnetic Nanoparticles · Spacecraft and Cryogenic Technologies · Fluid dynamics and aerodynamics studies