Divergence of B, outer boundary integral and Biot-Savart paper

In processing SWMF, OpenGGCM, or LFM results, the code uses the current densities that the MHD models provide for the magnetosphere, gap region, and ionosphere. From the current densities, the code determines $\delta B$ contributions to the magnetic field at a specified point. $\delta B$ contributions include changes due to the external fields, and do not include the Earth's intrinsic dipole field. The user can specify a point on the Earth's surface, for example, a magnetometer site. Or the user can specify a point in space. The algorithms will determine the contributions that the magnetospheric,ionospheric, and gap region current densities makes to the $B$ field in North-East-Down components.

The key difference between this branch and earlier branches are in two areas. First, the code was expanded beyond analysis of SWMF code to include OpenGGCM (tested) and LFM (partially tested) results. Second, it allows an examination of the results using the Helmholtz decomposition theorem, which states states that a vector field, in this case the magnetic field, $B$, can be written as the sum of irrotational and solenoidal components. This results in a volume integral involving $\nabla \times B$, a volume integral involving $\nabla \cdot B$, and surface integrals over the boundary of the volume.

Carrington Event Paper

This repository includes tools to analyze $\delta B$ contributions from the magnetosphere,
ionosphere, and gap-region to the magnetic field measured on Earth. That is, the change in
the magnetic field observed on earth due to magnetospheric, gap-region and iononspheric
currents. This version, 1.0.0, has the ability to determine contributions from Space Weather
Modeling Framework (SWMF) current densities.