Providing the divergence-free property of the magnetic field when solving the MHD equations by the RKDG method

DOI10.1134/S0965542515080096zbMath1329.76167OpenAlexW1947225176MaRDI QIDQ889229

Vladimir V. Lukin, M. P. Galanin

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515080096

zbMATH Keywords

divergence-free conditionmagnetic hydrodynamicsRKDG methodnumerical flows

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25)

Related Items (1)

Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A smoothness/shock indicator for the RKDG methods
• The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
• The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• Shock-Capturing Schemes in Computational MHD
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations

This page was built for publication: Providing the divergence-free property of the magnetic field when solving the MHD equations by the RKDG method