An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics

2008/09/18 by Dongwook Lee, Anil E. Deane · 220 citations
Engineering · Mathematics · #Adaptive mesh refinement #Algorithm #Applied mathematics #Computational Fluid Dynamics and Aerodynamics #Computational science #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Geometry #Induction equation #Magnetic field #Magnetohydrodynamics #Mathematical analysis #Mathematical optimization #Mathematics #Physics #Polygon mesh

paper · doi:10.1016/j.jcp.2008.08.026

published in Journal of Computational Physics 228(4), 952-975 (Elsevier BV)

openalex publication_date 2008/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• Hyperbolic Divergence Cleaning for the MHD Equations

Cited by

• A solution accurate, efficient and stable unsplit staggered mesh scheme for three dimensional magnetohydrodynamics
• Magnetic field amplification in turbulent astrophysical plasmas
• A post-hypercritical accretion small-scale dynamo in newborn neutron stars
• Study on the electrothermal instability in electrically exploding aluminum wires in air
• A low-dissipation HLLD approximate Riemann solver for a very wide range of Mach numbers
• Fermi and eRosita bubbles as relics of the past activity of the Galactic black hole
• Asymmetric and Moving-Frame Approaches to MHD Equations
• Mach Number Dependence of Turbulent Magnetic Field Amplification: Solenoidal versus Compressive Flows
• CONSTRAINED-TRANSPORT MAGNETOHYDRODYNAMICS WITH ADAPTIVE MESH REFINEMENT IN CHARM
• A second-order unsplit Godunov scheme for cell-centered MHD: The CTU-GLM scheme
• A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests
• Role of cosmic-ray streaming and turbulent damping in driving galactic winds
• Systematic construction of upwind constrained transport schemes for MHD
• On Thermal-Pulse-Driven Plasma Flows in Coronal Funnels as Observed by the Hinode/EUV Imaging Spectrometer (EIS)
• A Multistate Low-dissipation Advection Upstream Splitting Method for Ideal Magnetohydrodynamics
• Validation of FLASH for magnetically driven inertial confinement fusion target design
• Vortex Motions in the Solar Atmosphere: Definitions, Theory, Observations, and Modelling. [europepmc]