A high-order CESE scheme with a new divergence-free method for MHD numerical simulation
type: Item
instance of: scholarly article
title: A high-order CESE scheme with a new divergence-free method for MHD numerical simulation
zbMATH Open document ID: 1380.76112
author: Yun Yang
author: Xueshang Feng
author: Chao-Wei Jiang
published in: Journal of Computational Physics
publication date: 2018-02-07T00:00:00Z
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 6835468
zbMATH Keywords: high-order conservation element and solution element method
zbMATH Keywords: magneto-hydrodynamics
zbMATH Keywords: preserving divergence-free magnetic field
zbMATH Keywords: least-squares method
describes a project that uses: RIEMANN
describes a project that uses: CESE
describes a project that uses: MAP
MaRDI profile type: Publication
full work available at URL: j.jcp.2017.08.019
OpenAlex ID: W2743399984
cites work: Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods
cites work: Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
cites work: A characteristic space-time conservation element and solution element method for conservation laws
cites work: The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes
cites work: Higher-order time integration with a local Lax-Wendroff procedure for a central scheme on an overlapping grid
cites work: The method of space-time conservation element and solution element -- a new approach for solving the Navier-Stokes and Euler equations
cites work: Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes
cites work: A new MHD code with adaptive mesh refinement and parallelization for astrophysics
cites work: The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
cites work: A solution-adaptive upwind scheme for ideal magnetohydrodynamics
cites work: The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
cites work: Hybrid block-AMR in Cartesian and curvilinear coordinates: MHD applications
cites work: Hyperbolic divergence cleaning for the MHD equations
cites work: Divergence-free adaptive mesh refinement for magnetohydrodynamics.
cites work: A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
cites work: Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics
cites work: Q4715395
cites work: High order central scheme on overlapping cells for magneto-hydrodynamic flows with and without constrained transport method
cites work: A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
cites work: Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
DOI: 10.1016/J.JCP.2017.08.019
description: scientific article; zbMATH DE number 6835468