Improving shock irregularities based on the characteristics of the MHD equations

DOI10.1016/j.jcp.2008.05.006zbMath1268.76038OpenAlexW2013918588MaRDI QIDQ935331

Hayato Mikami, Tomoaki Matsumoto, Tomoyuki Hanawa

Publication date: 6 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.05.006

zbMATH Keywords

carbuncle phenomenonRoe schemeshock instabilitytype-II supernova

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

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Uses Software

• HLLE

Cites Work

• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
• Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
• Mass flux schemes and connection to shock instability
• Cures for the shock instability: Development of a shock-stable Roe scheme.
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• On Godunov-Type Methods for Gas Dynamics
• A contribution to the great Riemann solver debate
• An Accurate and Robust Flux Splitting Scheme for Shock and Contact Discontinuities
• Divergence-free adaptive mesh refinement for magnetohydrodynamics.