A finite-volume algorithm for three-dimensional magnetohydrodynamics on an unstructured, adaptive grid in axially symmetric geometry

DOI10.1006/jcph.1998.5873zbMath0908.76074OpenAlexW2058654167MaRDI QIDQ1387892

D. Massart

Publication date: 18 March 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.5873

zbMATH Keywords

fast Fourier transformscylindrical geometrypseudospectral algorithmMHD shockspoloidal geometryresistive tearing instability in tokamakthree-dimensional kink instabilities

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics ⋮ An adaptive finite element method for magnetohydrodynamics ⋮ A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics ⋮ An adaptive finite element method for magnetohydrodynamics ⋮ Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method

Cites Work

• Unnamed Item
• An adaptive finite element procedure for compressible high speed flows
• Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation
• Semi-implicit method for long time scale magnetohydrodynamic computations in three dimensions
• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• The use of a preconditioned bi-conjugate gradient method for hybrid plasma stability analysis
• Numerical study of the unstable MHD spectrum of a small aspect ratio, flat current, non-circular tokamak
• 3D nonlinear calculations of resistive tearing modes
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• A second-order Godunov scheme on a spatial adapted triangular grid
• Semi-implicit magnetohydrodynamic calculations
• Macroscopic plasma oscillation bursts (fishbones) resulting from high-energy populations
• Nonlinear coupling of tearing modes with self-consistent resistivity evolution in tokamaks
• Nonlinear interaction of tearing modes in highly resistive tokamaks

This page was built for publication: A finite-volume algorithm for three-dimensional magnetohydrodynamics on an unstructured, adaptive grid in axially symmetric geometry