An asymptotic preserving scheme for the Euler equations in a strong magnetic field

DOI10.1016/j.jcp.2008.12.040zbMath1396.76067arXiv0809.1527OpenAlexW2113943832MaRDI QIDQ1025116

Fabrice Deluzet, Pierre Degond, Marie-Hélène Vignal, Afeintou Sangam

Publication date: 18 June 2009

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

Full work available at URL: https://arxiv.org/abs/0809.1527

zbMATH Keywords

Euler equationsLorentz forceplasmasasymptotic-preserving schemedrift-fluid limitlarge magnetic field

Mathematics Subject Classification ID

Related Items (26)

High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers ⋮ Mesh dependent stability of discretization of the streamer equations for very high electric fields ⋮ High order semi-implicit schemes for viscous compressible flows in 3D ⋮ A new framework for magnetohydrodynamic simulations with anisotropic pressure ⋮ An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations ⋮ Asymptotic-preserving methods and multiscale models for plasma physics ⋮ An asymptotic preserving scheme for the streamer simulation ⋮ The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation ⋮ An efficient method for solving highly anisotropic elliptic equations ⋮ A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations ⋮ Study of a New Asymptotic Preserving Scheme for the Euler System in the Low Mach Number Limit ⋮ An asymptotic-preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition ⋮ Numerical approximation of the Euler-Maxwell model in the quasineutral limit ⋮ Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit ⋮ Modelling of phase transitions in granular flows ⋮ Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes ⋮ A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom Topography ⋮ A drift-asymptotic scheme for a fluid description of plasmas in strong magnetic fields ⋮ An implicit three-dimensional fractional step method for the simulation of the corona phenomenon ⋮ Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations ⋮ Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime ⋮ An efficient second order all Mach finite volume solver for the compressible Navier-Stokes equations ⋮ Stability of the discretization of the electron avalanche phenomenon ⋮ Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes ⋮ Study of an asymptotic preserving scheme for the quasi neutral Euler–Boltzmann model in the drift regime ⋮ Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation terms

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• Unnamed Item
• An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit
• An asymptotically stable particle-in-cell (PIC) scheme for collisionless plasma simulations near quasineutrality
• An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
• An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
• Asymptotic-preserving and well-balanced schemes for radiative transfer and the Rosseland approximation
• Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
• Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
• An asymptotically stable discretization for the Euler--Poisson system in the quasi-neutral limit
• Asymptotic preserving Monte Carlo methods for the Boltzmann equation
• Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
• On the Time Splitting Spectral Method for the Complex Ginzburg–Landau Equation in the Large Time and Space Scale Limit
• Analysis of an Asymptotic Preserving Scheme for the Euler–Poisson System in the Quasineutral Limit
• Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
• Polynomial upwind schemes for hyperbolic systems
• Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes
• Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
• Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations

This page was built for publication: An asymptotic preserving scheme for the Euler equations in a strong magnetic field