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

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.

Authors

David Martinez-del-Rio (ORCID: https://orcid.org/0000-0001-5747-386X)
Robert S. MacKay (ORCID: https://orcid.org/0000-0003-4771-3692)

Institutions

University of Warwick (GB)

Publication Details

Journal: Mathematics
Published: 2025-11-24
DOI: https://doi.org/10.3390/math13233772
Primary Topic: Magnetic confinement fusion research
Type: article
Field-Weighted Citation Impact: 0.00

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article

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

David Martinez-del-Rio, Robert S. MacKay

Nov 24, 2025

Mathematics

Magnetic confinement fusion research

article

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

David Martinez-del-Rio, Robert S. MacKay

November 24, 2025article en

Abstract

MathematicsVol. 13(23)

University of Warwick (GB)

Openalex Percentile: Top 88%

Magnetic confinement fusion research

DOI Open Access PDF OpenAlex

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Numerical Tests of Formulae for Volume Enclosed by Flux Surfaces of Integrable Magnetic Fields — David Martinez-del-Rio, Robert S. MacKay · Mathematics (2025) | TGRS Research Map | TGRS