A Vector Potential implementation for Smoothed Particle Magnetohydrodynamics
arXiv:1411.3290 · doi:10.1016/j.jcp.2014.11.011
Abstract
The development of smooth particle magnetohydrodynamic (SPMHD) has significantly improved the simulation of complex astrophysical processes. However, the preservation the solenoidality of the magnetic field is still a severe problem for the MHD. A formulation of the induction equation with a vector potential would solve the problem. Unfortunately all previous attempts suffered from instabilities. In the present work, we evolve the vector potential in the Coulomb gauge and smooth the derived magnetic field for usage in the momentum equation. With this implementation we could reproduce classical test cases in a stable way. A simple test case demonstrates the possible failure of widely used direct integration of the magnetic field, even with the usage of a divergence cleaning method.
Accepted for publication in Journal of Computational Physics. 10 pages and 7 figures
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- Local simulations of MRI turbulence with meshless methods
- Magnetic field evolution and reversals in spiral galaxies
- Smoothed particle magnetohydrodynamics with the geometric density average force expression
- Slurm: fluid particle-in-cell code for plasma modeling
- Detectability of large correlation length inflationary magnetic field with Cherenkov telescopes
- Meshless Methods for Magnetohydrodynamics with Vector Potential
- A Conservative Finite Element Solver for MHD Kinematics equations: Vector Potential method and Constraint Preconditioning
- Smoothed Particle Magnetohydrodynamics: A State of the Union
- Kinematic dynamos and resolution limits for Smoothed Particle Magnetohydrodynamics