Constrained hyperbolic divergence cleaning in smoothed particle magnetohydrodynamics with variable cleaning speeds

DOI10.1016/j.jcp.2016.06.053zbMath1351.76311arXiv1607.02394OpenAlexW2461696245WikidataQ57936695 ScholiaQ57936695MaRDI QIDQ729589

Daniel J. Price, Terrence S. Tricco, Matthew R. Bate

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02394

zbMATH Keywords

MHDnumerical methodsmagnetic fieldsastrophysicsdivergence cleaningsmoothed particle magnetohydrodynamics (SPMHD)

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Magnetohydrodynamics and electrohydrodynamics (76W05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items

Monolithic parabolic regularization of the MHD equations and entropy principles ⋮ Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations ⋮ A high-order residual-based viscosity finite element method for the ideal MHD equations ⋮ Entropy stable finite volume approximations for ideal magnetohydrodynamics ⋮ Slurm: fluid particle-in-cell code for plasma modeling ⋮ A geometric multigrid library for quadtree/octree AMR grids coupled to MPI-AMRVAC ⋮ An alternative SPH formulation: ADER-WENO-SPH

Uses Software

• Athena
• NDSPMHD

Cites Work

• Smoothed particle hydrodynamics and magnetohydrodynamics
• A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach
• A vector potential implementation for smoothed particle magnetohydrodynamics
• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
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• A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
• An SPH projection method
• A switch to reduce SPH viscosity
• A positive conservative method for magnetohydrodynamics based on HLL and Roe methods
• The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
• Hyperbolic divergence cleaning for the MHD equations
• A solution-adaptive upwind scheme for ideal magnetohydrodynamics
• A numerical method for three-dimensional simulations of collapsing, isothermal, magnetic gas clouds
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• A note on magnetic monopoles and the one-dimensional MHD Riemann problem.