Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria

DOI10.1016/0021-9991(79)90129-3zbMath0411.76098OpenAlexW2014674980MaRDI QIDQ1259505

K. Appert

Publication date: 1979

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

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1195299/

zbMATH Keywords

free boundaryiterative schemesnumericalplasma-vacuum interfacetokamak designaxisymmetric toroidal magnetohydrodynamic equilibriaelliptic nonlinear partial differential equationstationary axisymmetric toroidal equilibria

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to fluid mechanics (76-04) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items

In memoriam Raymond C. Grimm (1944-1984), Direct determination of axisymmetric magnetohydrodynamic equilibria in Hamada coordinates, Solving the Grad-Shafranov equation with spectral elements, A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem, Rapid calculation of tokamak equilibria with toroidal rotation via minimization of a functional, Numerical solution of ideal MHD equilibrium via radial basis functions collocation and moving least squares approximation methods, Solving the Grad-Shafranov equation using spectral elements for tokamak equilibrium with toroidal rotation, A free-boundary equilibrium solver with a hybrid iteration method in a semi-bounded computational domain, An iterative metric method for solving the inverse tokamak equilibrium problem, The computation of resistive MHD instabilities in axisymmetric toroidal plasmas, Discretization errors at free boundaries of the Grad-Schlüter-Shafranov equation, Computation of MHD equilibrium of tokamak plasma, Numerical studies of toroidal resistive magnetohydrodynamic instabilities, Ideal MHD stability calculations in axisymmetric toroidal coordinate systems, A plasma resistive diffusion model, Plasma-vacuum interface problems in magnetohydrodynamics, A Parallel Cut-Cell Algorithm for the Free-Boundary Grad--Shafranov Problem, Numerical method for tokamak equilibrium with outside limiter

Cites Work

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• The Stellarator Concept
• Equilibrium of a Magnetically Confined Plasma in a Toroid
• Exact equilibria of axisymmetric magnetic configurations
• Magnetohydrodynamic equilibria and local stability of axisymmetric tokamak plasmas
• Stability Criterion for Arbitrary Hydromagnetic Equilibria