Convergence of Roberts flow dynamos in Eulerian and Lagrangian codes

arXiv:2610.08996 · physics.comp-ph, astro-ph.CO, astro-ph.GA · Submitted 2026-10-06 · Read on arXiv

physics.comp-ph, astro-ph.CO, astro-ph.GA

Submitted: 2026-10-06

Updated: 2026-10-08

Comments: 31 pages, 12 figures, 7 tables. Submitted to J. Plasma Phys

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Accuracy — 10× in this paper · explained in 1 episode
• alpha — 10× in this paper · explained in 1 episode
• Benchmark — 6× in this paper · explained in 2 episodes
• Magnetohydrodynamics (MHD) — 2× in this paper · explained in 3 episodes
• Primordial Magnetic Fields — 1× in this paper · explained in 2 episodes

Sources

• Sphenix: Smoothed Particle Hydrodynamics for the next generation of galaxy formation simulations
• Revisiting the ABC flow dynamo
• The inverse cascade and nonlinear alpha-effect in simulations of isotropic helical hydromagnetic turbulence
• Magnetic field evolution in simulations with Euler potentials
• The nature of mean-field generation in three classes of optimal dynamos
• Hydromagnetic turbulence in computer simulations
• Resistively controlled primordial magnetic turbulence decay
• Scale dependence of alpha effect and turbulent diffusivity
• Magnetic helicity dissipation and production in an ideal MHD code
• Astrophysical magnetic fields and nonlinear dynamo theory
• Extended theory of the Taylor problem in the plasmoid-unstable regime
• A Co-Scaling Grid for Athena++ II: Magnetohydrodynamics
• Cosmic-void observations reconciled with primordial magnetogenesis
• Memory effects in turbulent transport
• Smoothed particle magnetohydrodynamics for simulations of galaxy and cosmic structure formation
• Magnetic Prandtl number dependence of plasmoid-mediated reconnection
• A comparison of numerical schemes for driven subsonic MHD turbulence
• Mean-field dynamo action from delayed transport
• SWIFT: A modern highly-parallel gravity and smoothed particle hydrodynamics solver for astrophysical and cosmological applications
• Towards robust simulations of the galactic dynamo: a cross-code comparison between Eulerian and Lagrangian schemes

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