Ideal MHD stability calculations in axisymmetric toroidal coordinate systems

DOI10.1016/0021-9991(83)90116-XzbMath0505.76139OpenAlexW2044474181MaRDI QIDQ1836584

R. C. Grimm, J. Manickam, Robert L. Dewar

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90116-x

zbMATH Keywords

ballooning modesaxisymmetric toroidal equilibriumfinite element Galerkin representationminor cross section of torusoptimal choice of poloidal anglescalar form of ideal MHD energy principlestraight magnetic field line flux coordinatestokamak and spheromak

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 (17)

In memoriam Raymond C. Grimm (1944-1984) ⋮ Galerkin method for differential equations with regular singular points ⋮ Two variational forms of the MHD ballooning equation ⋮ Direct determination of axisymmetric magnetohydrodynamic equilibria in Hamada coordinates ⋮ NOVA: A nonvariational code for solving the MHD stability of axisymmetric toroidal plasmas ⋮ Methods for numerical simulation of ideal MHD stability of axisymmetric plasmas ⋮ Streamline integration as a method for two-dimensional elliptic grid generation ⋮ The Brunt-Väisälä frequency of rotating tokamak plasmas ⋮ The computation of resistive MHD instabilities in axisymmetric toroidal plasmas ⋮ An efficient method for solving elliptic boundary element problems with application to the tokamak vacuum problem ⋮ Global waves in resistive and hot tokamak plasmas ⋮ A new method for computing normal modes in axisymmetric toroidal geometry using a scalar form of ideal MHD ⋮ Compressible linear and nonlinear resistive MHD calculations in toroidal geometry ⋮ The CHEASE code for toroidal MHD equilibria ⋮ AEGIS: An adaptive ideal-magnetohydrodynamics shooting code for axisymmetric plasma stability ⋮ Equilibrium spline interface (ESI) for magnetic confinement codes ⋮ Plasma-vacuum interface problems in magnetohydrodynamics

Uses Software

• GATO
• ERATO

Cites Work

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• Self-consistent solutions of the plasma transport equations in an axisymmetric toroidal system
• A new finite element approach to the normal mode analysis in magnetohydrodynamics
• Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria
• An energy principle for hydromagnetic stability problems
• Plasma equilibrium with rational magnetic surfaces
• Stability Criterion for Arbitrary Hydromagnetic Equilibria

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