Temporal Substepping Scheme for Magnetohydrodynamics with Cell-based Adaptive Mesh Refinement on Staggered Grid

Ilja Honkonen, Riku Jarvinen, David Phillips

We present a new algorithm for numerical magnetohydrodynamics on staggered meshes preserving $\nabla \cdot B=0$. Our algorithm is based on the constrained transport method and su…