Numerical Tests of Formulae for Volume Enclosed by Flux Surfaces of Integrable Magnetic Fields

David Martinez-del-Rio () and Robert Sinclair MacKay
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David Martinez-del-Rio: Department of Statistics, University of Warwick, Coventry CV4 7AL, UK
Robert Sinclair MacKay: Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK

Mathematics, 2025, vol. 13, issue 23, 1-23

Abstract: Numerical tests of volume formulae are presented to efficiently compute the volume enclosed between flux surfaces for integrable 3D vector fields with various degrees of symmetry. In the process, a new case is proposed and tested.

Keywords: magnetic field; flux surface; volume (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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