Kinematic dynamos using constrained transport with high-order Godunov schemes and adaptive mesh refinement
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Publication:853169
DOI10.1016/j.jcp.2006.01.042zbMath1110.76038arXivastro-ph/0601715OpenAlexW2110630942WikidataQ60735318 ScholiaQ60735318MaRDI QIDQ853169
Sébastien Fromang, Emmanuel Dormy, Romain Teyssier
Publication date: 15 November 2006
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/astro-ph/0601715
Finite difference methods applied to problems in fluid mechanics (76M20) Magnetohydrodynamics and electrohydrodynamics (76W05)
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Uses Software
Cites Work
- Unnamed Item
- Three-dimensional MHD high-resolution computations with CWENO employing adaptive mesh refinement
- Adaptive mesh refinement for hyperbolic partial differential equations
- Multidimensional upwind methods for hyperbolic conservation laws
- Divergence- and curl-preserving prolongation and restriction formulas
- Local adaptive mesh refinement for shock hydrodynamics
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- Full threaded tree algorithms for adaptive refinement fluid dynamics simulations
- Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries.
- On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method.
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Hyperbolic divergence cleaning for the MHD equations
- An unsplit, cell-centered Godunov method for ideal MHD
- An unsplit Godunov method for ideal MHD via constrained transport
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- A novel approach of divergence-free reconstruction for adaptive mesh refinement
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Fast dynamo action in the Ponomarenko dynamo
- Numerical simulations of kinematic dynamo action
- Stretch, Twist, Fold: The Fast Dynamo
- MHD dynamo simulation using the GeoFEM platform—verification by the dynamo benchmark test
- Divergence-free adaptive mesh refinement for magnetohydrodynamics.
