Numerical calculations using the full MHD equations in toroidal geometry

DOI10.1016/0021-9991(86)90086-0zbMath0587.76075OpenAlexW1983676165MaRDI QIDQ1072850

J. A. Holmes, H. R. Hicks, B. A. Carreras, L. A. Charlton, Vickie Lynch

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90086-0

zbMATH Keywords

eigenfunctionslinearized equationstokamaksstellaratorsfull magnetohydrodynamic equations in toroidal geometryfully implicit numerical techniqueinstability for a tokamak configurationlinear eigenvaluesreversed field pinchessolution of the nonlinear problem

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Basic methods in fluid mechanics (76M99)

Related Items (4)

Three dimensional nonlinear MHD calculations using implicit and explicit time integration schemes ⋮ Implementation of the full viscoresistive magnetohydrodynamic equations in a nonlinear finite element code ⋮ Topological instability along filamented invariant surfaces ⋮ Compressible linear and nonlinear resistive MHD calculations in toroidal geometry

Uses Software

• ERATO

Cites Work

• Nonlinear, two-dimensional magnetohydrodynamic calculations
• 3D nonlinear calculations of resistive tearing modes
• Reduced equations for internal kinks in tokamaks
• The effects of compressibility of the resistive ballooning mode
• Asymptotic theory of the internal kink mode in current-carrying toroidal plasmas
• A comparison of the full and reduced sets of magnetohydrodynamic equations for resistive tearing modes in cylindrical geometry

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