Divergence-Free Magnetic Field Interpolation via Hermite Vector Potential Reconstruction
A numerical scheme that keeps an interpolated magnetic field exactly divergence-free by reconstructing the discrete vector potential and Hermite-interpolating it to a globally C-m-smooth field, so that B equals the curl of A everywhere. The high-order continuity enables accurate adaptive high-order ODE integration of charged-particle guiding-center orbits, conserving toroidal canonical momentum and magnetic moment, and reveals how insufficient derivative continuity injects discontinuity-induced truncation errors into Runge-Kutta schemes.
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High order interpolation of magnetic fields with vector potential reconstruction for particle
A numerical method for interpolating a magnetic field so that it remains exactly divergence-free (no magnetic monopoles) everywhere in a simulation domain. Rather than interpolating B directly, the d…