Method of Relative Magnetic Helicity Computation II: Boundary Conditions for the Vector Potentials

Abstract

We have proposed a method to calculate the relative magnetic helicity in a finite volume as given the magnetic field in the former paper (Yang et al. Solar Physics, 283, 369, 2013). This method requires that the magnetic flux to be balanced on all the side boundaries of the considered volume. In this paper, we propose a scheme to obtain the vector potentials at the boundaries to remove the above restriction. We also used a theoretical model (Low and Lou, Astrophys. J. 352, 343, 1990) to test our scheme.

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