An implicit scheme for solving the anisotropic diffusion of heat and cosmic rays in the RAMSES code

Abstract

Astrophysical plasmas are subject to a tight connection between magnetic fields and the diffusion of particles, which leads to an anisotropic transport of energy. Under the fluid assumption, this effect can be reduced to an advection-diffusion equation augmenting the equations of magnetohydrodynamics. We introduce a new method for solving the anisotropic diffusion equation using an implicit finite-volume method with adaptive mesh refinement and adaptive time-stepping in the RAMSES code. We apply this numerical solver to the diffusion of cosmic ray energy, and diffusion of heat carried by electrons, which couple to the ion temperature. We test this new implementation against several numerical experiments and apply it to a simple supernova explosion with a uniform magnetic field.

11 pages, 10 figures, A&A

References in corpus (22)

• Heating Hot Atmospheres with Active Galactic Nuclei
• A High Order Godunov Scheme with Constrained Transport and Adaptive Mesh Refinement for Astrophysical MHD
• Revised equipartition & minimum energy formula for magnetic field strength estimates from radio synchrotron observations
• Detecting shock waves in cosmological smoothed particle hydrodynamics simulations
• Cosmic-ray Driven Outflows in Global Galaxy Disk Models
• Simulations of disk galaxies with cosmic ray driven galactic winds
• Cosmic ray feedback in hydrodynamical simulations of galaxy formation
• Preserving Monotonicity in Anisotropic Diffusion
• Cosmic rays can drive strong outflows from gas-rich high-redshift disk galaxies
• Kinematic Dynamos using Constrained Transport with High Order Godunov Schemes and Adaptive Mesh Refinement
• Constraining turbulence and conduction in the hot ICM through density perturbations
• Anisotropic Thermal Conduction and the Cooling Flow Problem in Galaxy Clusters
• Thermal conduction in cosmological SPH simulations
• Nonlinear Simulations of the Heat Flux Driven Buoyancy Instability and its Implications for Galaxy Clusters
• The Magnetothermal Instability in the Intracluster Medium
• A fast, robust, and simple implicit method for adaptive time-stepping on adaptive mesh-refinement grids
• Simulations of MHD Instabilities in Intracluster Medium Including Anisotropic Thermal Conduction
• Non-Equilibrium Electrons and the Sunyaev-Zel'dovich Effect of Galaxy Clusters
• Multigroup radiation hydrodynamics with flux-limited diffusion and adaptive mesh refinement
• Simulations of Mixed Morphology Supernova Remnants With Anisotropic Thermal Conduction
• Simulating Anisotropic Thermal Conduction in Supernova Remnants, Implications for the Interstellar Medium
• Numerical simulations of buoyancy instabilities in galaxy cluster plasmas with cosmic rays and anisotropic thermal conduction

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