2 papers
math.DS2025
Numerical tests of formulae for volume enclosed by flux surfaces of integrable magnetic fields
David Martinez-del-Rio, Robert S. MacKay
Numerical tests of volume formulae are presented to compute efficiently the volume enclosed between flux surfaces for integrable 3D vector fields with various degrees of symmetry.…
math.DS2024
Volume enclosed by a flux surface
Robert S. MacKay
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.