Computation of MHD equilibrium of tokamak plasma

DOI10.1016/0021-9991(91)90074-UzbMath0716.76086MaRDI QIDQ753610

Tatsuoki Takeda, Shinji Tokuda

Publication date: 1991

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

zbMATH Keywords

finite element methodfinite difference methodGrad-Shafranov equationtokamak plasmaequilibrium solversinverse equilibrium methodsiterative reconstruction of metricsMHD equilibriumMHD equilibrium solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary element methods applied to problems in fluid mechanics (76M15) Finite element methods applied to problems in fluid mechanics (76M10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (14)

A mimetic spectral element solver for the Grad-Shafranov equation ⋮ ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria ⋮ Numerical solution of ideal MHD equilibrium via radial basis functions collocation and moving least squares approximation methods ⋮ A fast, high-order solver for the Grad-Shafranov equation ⋮ Meshless method for solving fixed boundary problem of plasma equilibrium ⋮ MINERVA: ideal MHD stability code for toroidally rotating tokamak plasmas ⋮ Adaptive hybridizable discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains ⋮ A hybridizable discontinuous Galerkin solver for the Grad-Shafranov equation ⋮ FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains ⋮ Solving hyperbolic-elliptic problems on singular mapped disk-like domains with the method of characteristics and spline finite elements ⋮ Simulation technique of free-boundary equilibrium evolution in plasma ramp-up phase ⋮ Computation of fixed boundary tokamak equilibria using a method based on approximate particular solutions ⋮ Extension of the Newcomb equation into the vacuum for the stability analysis of tokamak edge plasmas ⋮ Conservative global gyrokinetic toroidal full-f five-dimensional Vlasov simulation

Uses Software

• ERATO

Cites Work

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• The calculation of stellarator equilibria in vacuum flux surface coordinates
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• Dynamic modeling of transport and positional control of tokamaks
• Integrated analysis of data from JET
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• Nonlinear dynamics of magnetic islands with curvature and pressure
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• Two-dimensional transport of tokamak plasmas
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• Parallel Computers 2
• Exact equilibria of axisymmetric magnetic configurations
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• Neoclassical current in a toroidally-confined multispecies plasma
• On the Computation of Approximate Eigenvalues and Eigenfunctions of Elliptic Operators by Means of a Multi-Grid Method
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