Journal ArticleDOI
Semi-implicit magnetohydrodynamic calculations
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TLDR
In this paper, a semi-implicit algorithm for the solution of the nonlinear, three-dimensional, resistive MHD equations in cylindrical geometry is presented, which assumes uniform density and pressure, although this is not a restriction of the method.About:
This article is published in Journal of Computational Physics.The article was published on 1987-06-01. It has received 169 citations till now. The article focuses on the topics: Partial differential equation & Finite difference method.read more
Citations
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Nonlinear magnetohydrodynamics simulation using high-order finite elements
Carl Sovinec,Alan H. Glasser,T. A. Gianakon,Daniel C. Barnes,R. A. Nebel,Scott Kruger,Dalton Schnack,Steven J. Plimpton,A. Tarditi,Ming-Sheng Chu +9 more
TL;DR: In this article, a semi-implicit time-advance approach was used to simulate the growth rate of resistive tearing modes in 3D nonlinear non-ideal magnetohydrodynamics.
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The Lyon-Fedder-Mobarry (LFM) global MHD magnetospheric simulation code
TL;DR: The inner workings of the Lyon–Fedder–Mobarry (LFM) global magnetospheric simulation code is described, giving a rough blueprint of how to build a similar simulation model.
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Magnetohydrodynamic modeling of prominence formation within a helmet streamer
TL;DR: In this article, a 2.5D axisymmetric MHD model is presented to self-consistently describe the formation of a stable prominence that supports cool, dense material in the lower corona.
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Single and multiple helicity Ohmic states in reversed‐field pinches
TL;DR: The properties of single helicity and multiple helicity Ohmic states in reversed field pinches (RFPs) were investigated by a combination of analytic and numerical methods in this article.
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An Implicit, Nonlinear Reduced Resistive MHD Solver
TL;DR: Two viable paths for an implicit, nonlinear time integration of the MHD equations are explored using a 2D reduced viscoresistive MHD model and the resulting implicit algorithm is shown to be successful in dealing with large time steps and fine grids.
References
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Journal ArticleDOI
Relaxation of toroidal plasma and generation of reverse magnetic fields
TL;DR: In this article, the spontaneous generation of reversed fields in toroidal plasmas is shown to be a consequence of relaxation under constraints, and the onset of the reversed field and other features of this model agree well with observations on ZETA.
Book
Numerical analysis of spectral methods
David Gottlieb,Steven A. Orszag +1 more
TL;DR: In this article, a mathematical analysis of spectral methods for mixed initial-boundary value problems is given, and the development of a mathematical theory that explains why spectral methods work and how well they work.
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A numerical fluid dynamics calculation method for all flow speeds
Francis H. Harlow,A.A. Amsden +1 more
TL;DR: The ICE technique for numerical fluid dynamics has been revised considerably, and generalized in such a way as to extend the applicability to fluid flows with arbitrary equation of state and the full viscous stress tensor as mentioned in this paper.
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Dynamics of high β tokamaks
TL;DR: In this article, the reduced low β tokamak magnetohydrodynamic equations are extended to the case of high β and a large aspect ratio ordering is used to solve numerically to find two-dimensional equilibria.
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Nonlinear, single‐helicity magnetic reconnection in the reversed‐field pinch
TL;DR: In this article, a computational and analytical study of the nonlinear evolution of single-helicity, resistive, current-driven modes in the reversed-field pinch utilizing the single-fluid magnetohydrodynamic approximation is presented.