Integral equations in MHD: theory and application

Abstract

The induction equation of kinematic magnetohydrodynamics is mathematically equivalent to a system of integral equations for the magnetic field in the bulk of the fluid and for the electric potential at its boundary. We summarize the recent developments concerning the numerical implementation of this scheme and its applications to various forward and inverse problems in dynamo theory and applied MHD.

17 pages, 4 figures

References in corpus (5)

• Contactless inductive flow tomography
• Magnetohydrodynamic experiments on cosmic magnetic fields
• Magnetic helicity fluxes in an alpha-squared dynamo embedded in a halo
• Cylindrical anisotropic ${\alpha }^2$ dynamos
• The integral equation approach to kinematic dynamo theory and its application to dynamo experiments in cylindrical geometry

Cited by in corpus (1)

• A hybrid finite-difference/boundary element procedure for the simulation of turbulent MHD duct flow at finite magnetic Reynolds numbers