A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d

DOI10.1007/S00791-004-0140-5zbMath1120.76338OpenAlexW1993576493MaRDI QIDQ1780945

Andreas Dedner, Christian Rohde, Matthias Wesenberg, Bernhard Schupp

Publication date: 14 June 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-004-0140-5

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) 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) Astrophysical cosmology (85A40)

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Uses Software

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Cites Work

• Non-oscillatory central differencing for hyperbolic conservation laws
• Adaptive streamline diffusion methods for compressible flow using conservation variables
• The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
• Hyperbolic divergence cleaning for the MHD equations
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Efficient MHD Riemann solvers for simulations on unstructured triangular grids
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• The MoT-ICE: A new high-resolution wave-propagation algorithm for multidimensional systems of conservation laws based on Fey's method of transport
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