Solving the Grad-Shafranov equation with spectral elements

DOI10.1016/j.cpc.2014.02.008zbMath1344.76063OpenAlexW1972523647MaRDI QIDQ314192

E. C. Howell, Carl R. Sovinec

Publication date: 13 September 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2014.02.008

zbMATH Keywords

spectral elementcompact torusGrad-Shafranovmagnetohydrodynamic equilibrium

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

Accurate numerical, integral methods for computing drift-kinetic Trubnikov-Rosenbluth potentials ⋮ Accurate derivative evaluation for any Grad-Shafranov solver ⋮ A mimetic spectral element solver for the Grad-Shafranov equation ⋮ ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria ⋮ A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries ⋮ Adaptive hybridizable discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains ⋮ Solving the Grad-Shafranov equation using spectral elements for tokamak equilibrium with toroidal rotation ⋮ A hybridizable discontinuous Galerkin solver for the Grad-Shafranov equation ⋮ An Adaptive Discontinuous Petrov--Galerkin Method for the Grad--Shafranov Equation ⋮ Automating the design of tokamak experiment scenarios ⋮ A Parallel Cut-Cell Algorithm for the Free-Boundary Grad--Shafranov Problem

Uses Software

• NIMEQ
• NIMROD
• PSEC

Cites Work

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• The Princeton spectral equilibrium code: PSEC
• Computation of MHD equilibria by a quasi-inverse finite hybrid element approach
• The asymptotic Chebyshev coefficients for functions with logarithmic endpoint singularities: Mappings and singular basis functions
• Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria
• Nonlinear magnetohydrodynamics simulation using high-order finite elements.
• Spheromak tilting instability in cylindrical geometry
• Spectral/hp Element Methods for Computational Fluid Dynamics