Computation of MHD equilibrium of tokamak plasma
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Publication:753610
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)
finite element methodfinite difference methodGrad-Shafranov equationtokamak plasmaequilibrium solversinverse equilibrium methodsiterative reconstruction of metricsMHD equilibriumMHD equilibrium solution
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
Cites Work
- Approximation of a nondifferentiable nonlinear problem related to MHD equilibria
- A plasma resistive diffusion model
- Numerical method for tokamak equilibrium with outside limiter
- The calculation of stellarator equilibria in vacuum flux surface coordinates
- Inverse problems. Lectures given at the 1st 1986 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, May 28 - June 5, 1986
- Dynamic modeling of transport and positional control of tokamaks
- Integrated analysis of data from JET
- Convergence properties of a nonvariational 3D MHD equilibrium code
- Evolution of flux-conserving tokamak equilibria with preprogrammed cross sections
- An iterative metric method for solving the inverse tokamak equilibrium problem
- A 3D code for MHD equilibrium and stability
- A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
- Une méthode numérique en bifurcation-application à un problème à frontière libre de la physique des plasmas
- A note on the approximation of mildly nonlinear Dirichlet problems by finite differences
- Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria
- A historical overview of iterative methods
- Equilibrium and stability properties of high-beta torsatrons
- The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions
- The Stellarator Concept
- Determination of Hydromagnetic Equilibria
- The equilibrium and stability of rotating plasmas
- Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria
- Three-dimensional stellarator equilibria by iteration
- Island formation and destruction of flux surfaces in three-dimensional MHD equilibria
- Optimized Fourier representations for three-dimensional magnetic surfaces
- Nonlinear dynamics of magnetic islands with curvature and pressure
- Three-dimensional toroidal equilibria and stability by a variational spectral method
- Degenerate toroidal magnetohydrodynamic equilibria and minimum B
- Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria
- Two-dimensional transport of tokamak plasmas
- Variational moment solutions to the Grad–Shafranov equation
- Parallel Computers 2
- Exact equilibria of axisymmetric magnetic configurations
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Magnetohydrodynamic equilibria and local stability of axisymmetric tokamak plasmas
- 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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