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Self-gravitational Magnetohydrodynamics with Adaptive Mesh Refinement for Protostellar Collapse
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A new numerical code, called SFUMATO, for solving self-gravitational magnetohydrodynamics (MHD) problems using adaptive mesh refinement (AMR) is presented. A block-structured grid is adopted as the grid of the AMR hierarchy. The total variation diminishing (TVD) cell-centered scheme is adopted as the MHD solver, with hyperbolic cleaning of divergence error of the magnetic field also implemented. The self-gravity is solved by a multigrid method composed of (1) full multigrid (FMG)-cycle on the AMR hierarchical grids, (2) V-cycle on these grids, and (3) FMG-cycle on the base grid. The multigrid method exhibits spatial second-order accuracy, fast convergence, and scalability. The numerical fluxes are conserved by using a refluxing procedure in both the MHD solver and the multigrid method. The several tests are performed indicating that the solutions are consistent with previously published results.
Forward citations
Cited by 2 Pith papers
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Smoothed particle magnetohydrodynamics for simulations of galaxy and cosmic structure formation
A new conservative SPMHD scheme in SWIFT passes standard tests and achieves the first coupling of the EAGLE galaxy formation model to magnetohydrodynamics.
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Accretion across scales: streamers, surface-layer transport, and rapid replenishment in young protoplanetary discs
Cloud-fed ideal-MHD zoom-in simulations of nine young stars show discs are replenished on ~10,000-year timescales via surface-layer accretion and can be truncated by massive streamers.
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