A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics

DOI10.1016/j.jcp.2005.12.014zbMath1102.35358OpenAlexW2108343984MaRDI QIDQ2498514

Yanyan Li

Publication date: 16 August 2006

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

Full work available at URL: https://dspace.library.uu.nl/handle/1874/20323

zbMATH Keywords

conservation lawsadaptive mesh refinementmagnetohydrodynamicsmoving meshfinite volumesmonitor function

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Uses Software

• ZEUS
• VAC

Cites Work

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• On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
• Practical aspects of formulation and solution of moving mesh partial differential equations

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