A pseudospectral algorithm for three-dimensional magnetohydrodynamic simulation

DOI10.1016/0021-9991(84)90034-2zbMath0555.76093OpenAlexW2062219197MaRDI QIDQ761327

D. Kharzeev

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90034-2

zbMATH Keywords

pseudospectral methodfast Fourier transformsfinite differencesLeapfrog time advancementthree-dimensional resistive magnetohydrodynamic equationstoroidal geometry

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Basic methods in fluid mechanics (76M99)

Related Items (10)

A spectral collocation method for two-dimensional compressible convection ⋮ A mixed finite difference/Galerkin method for three-dimensional Rayleigh- Bénard convection ⋮ A simulation code for 3-dimensional nonlinear incompressible resistive MHD in a periodic cylinder ⋮ The application of spectral methods in simulating compressible fluid and magnetofluid turbulence ⋮ Magnetohydrodynamics of solar coronal plasmas in cylindrical geometry ⋮ Nonlinear magnetohydrodynamics simulation using high-order finite elements. ⋮ Free-boundary simulations of DIII-D plasmas with the NIMROD code ⋮ Numerical studies of toroidal resistive magnetohydrodynamic instabilities ⋮ Semi-implicit magnetohydrodynamic calculations ⋮ An implicit algorithm for compressible three-dimensional magnetohydrodynamic calculations

Cites Work

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• Nonlinear, two-dimensional magnetohydrodynamic calculations
• 3D nonlinear calculations of resistive tearing modes
• Pseudospectral approximation to two-dimensional turbulence
• Nonlinear, single-helicity magnetic reconnection in the reversed-field pinch
• Nonlinear coupling of tearing modes with self-consistent resistivity evolution in tokamaks
• Effects of toroidal coupling on the stability of tearing modes
• Nonlinear interaction of tearing modes in highly resistive tokamaks
• Comparison of Pseudospectral and Spectral Approximation
• Spectral Calculations of Isotropic Turbulence: Efficient Removal of Aliasing Interactions
• Numerical simulation of incompressible flows within simple boundaries: accuracy
• Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations

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