3D Magnetic Field Modeling

We propose to employ a novel Boundary Element Method (BEM) numerical technique to develop a parallel computer code that will allow simultaneous solution, in three dimensions (3-D), of the vacuum magnetic vector potential and magnetic field structure for complex geometries. The primary advantages of the chosen approach are the reduction of the dimensionality of the problem from three (volume) to two (surface) dimensions, and the avoidance of wasteful computation of fields and potentials away from conductor surfaces of interest. Furthermore, artificial external problem domain boundaries with generally unknown boundary conditions are avoided. The resulting code can either be employed stand-alone, for design purposes, or in combination with existing magneto-hydrodynamic (MHD) or static magnetic diffusion codes based on finite-difference, finite-volume, finite-element, or even time-domain BEM techniques.