A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit

DOI10.1016/j.jcp.2021.110895OpenAlexW3198354157MaRDI QIDQ2133571

Yanyan Li

Publication date: 4 May 2022

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

Full work available at URL: https://arxiv.org/abs/2101.03521

zbMATH Keywords

light speedequilibrium diffusion limitnon-equilibrium diffusion limitradiation magnetohydrodynamicsspatial-temporal asymptotic preserving

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Astronomy and astrophysics (85Axx)

Related Items (3)

A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations ⋮ High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers ⋮ The combined non-equilibrium diffusion and low Mach number limits of a model arising in radiation magnetohydrodynamics

Uses Software

• Athena

Cites Work

• On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models
• Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
• A second order self-consistent IMEX method for radiation hydrodynamics
• An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
• Semi-implicit time integration for \(P_N\) thermal radiative transfer
• A higher-order Godunov method for radiation hydrodynamics: radiation subsystem
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
• Radiative shock solutions with grey nonequilibrium diffusion
• Multiscale simulation for the system of radiation hydrodynamics
• A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface
• Second-order discretization in space and time for radiation-hydrodynamics
• Asymptotic preserving and positive schemes for radiation hydrodynamics
• A hybrid Godunov method for radiation hydrodynamics
• A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
• An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations
• Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
• The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method
• An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
• Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
• NUMERICAL PASSAGE FROM RADIATIVE HEAT TRANSFER TO NONLINEAR DIFFUSION MODELS
• Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation
• A Uniformly Convergent Scheme for Radiative Transfer Equation in the Diffusion Limit Up to the Boundary and Interface Layers
• A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
• A Coupled Model for Radiative Transfer: Doppler Effects, Equilibrium, and Nonequilibrium Diffusion Asymptotics
• Unnamed Item

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