Meshless Methods for Magnetohydrodynamics with Vector Potential
arXiv:2202.03761 · doi:10.1016/j.jcp.2022.111596
Abstract
We present a meshless method for magnetohydrodynamics by evolving the vector potential of magnetic fields. A novel scheme and numerical techniques are developed to restrict the divergence of magnetic field, based on the Meshless Finite Mass/Volume with HLLD Riemann solver for conservative flux calculation. We found the magnetic field could be stabilized by a proper smoothing process and so the long-term evolution becomes available. To verify the new scheme, we perform the Brio-Wu shock tube, 2D and 3D Orszag-Tang vortex and Magnetorotational Instability test problems. Our results suggest that our method is robust and has better precision on central offset, amplitude and detailed pattern than an existing meshless codeGIZMO.
17 pages, 11 figures, accepted for publication in Journal of Computational Physics
References in corpus (9)
- Athena: A New Code for Astrophysical MHD
- The Athena++ Adaptive Mesh Refinement Framework: Design and Magnetohydrodynamic Solvers
- A High Order Godunov Scheme with Constrained Transport and Adaptive Mesh Refinement for Astrophysical MHD
- Inviscid SPH
- MAGMA: a 3D, Lagrangian magnetohydrodynamics code for merger applications
- Simulating Magnetohydrodynamical Flow with Constrained Transport and Adaptive Mesh Refinement; Algorithms & Tests of the AstroBEAR Code
- Constrained Hyperbolic Divergence Cleaning for Smoothed Particle Magnetohydrodynamics
- The effect of magnetic fields on the formation of circumstellar discs around young stars
- A Vector Potential implementation for Smoothed Particle Magnetohydrodynamics