An unsplit Godunov method for ideal MHD via constrained transport
type: Item
instance of: scholarly article
title: An unsplit Godunov method for ideal MHD via constrained transport
zbMATH Open document ID: 1087.76536
author: Thomas A. Gardiner
author: James M. Stone
published in: Journal of Computational Physics
publication date: 2005-06-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/astro-ph/0501557
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 2175581
describes a project that uses: ZEUS
describes a project that uses: HLLE
MaRDI profile type: Publication
OpenAlex ID: W2041379442
arXiv ID: astro-ph/0501557
cites work: A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
cites work: The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
cites work: Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
cites work: Multidimensional upwind methods for hyperbolic conservation laws
cites work: The piecewise parabolic method (PPM) for gas-dynamical simulations
cites work: An unsplit, cell-centered Godunov method for ideal MHD
cites work: A High-Order Godunov-Type Scheme for Shock Interactions in Ideal Magnetohydrodynamics
cites work: A simple finite difference scheme for multidimensional magnetohydrodynamical equations
cites work: Hyperbolic divergence cleaning for the MHD equations
cites work: On Godunov-Type Methods for Gas Dynamics
cites work: On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
cites work: A wave propagation method for three-dimensional hyperbolic conservation laws
cites work: An HLLC Riemann solver for magneto-hydrodynamics
cites work: Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
cites work: On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method.
cites work: A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing.
cites work: A solution-adaptive upwind scheme for ideal magnetohydrodynamics
cites work: An unsplit 3D upwind method for hyperbolic conservation laws
cites work: A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
cites work: The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
cites work: A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
DOI: 10.1016/J.JCP.2004.11.016
description: scientific article