Magneto-hydrodynamic eigenvalue solver for axisymmetric equilibria based on smooth polar splines

DOI10.1016/j.jcp.2022.111329OpenAlexW4281624122WikidataQ114183730 ScholiaQ114183730MaRDI QIDQ2672774

Stefan Possanner, Florian Holderied

Publication date: 13 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111329

zbMATH Keywords

discrete differential formsmagneto-hydrodynamicssingular domainspolar splines

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) General theory of differentiable manifolds (58Axx)

Related Items

High-order structure-preserving algorithms for plasma hybrid models, Geometric particle-in-cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons, Treatment of polar grid singularities in the bi-cubic Hermite-Bézier approximations: isoparametric finite element framework

Uses Software

• LIGKA
• GATO
• CASTOR
• ERATO

Cites Work

• Isogeometric analysis in electromagnetics: B-splines approximation
• CASTOR: Normal-mode analysis of resistive MHD plasmas
• Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement
• Isogeometric discrete differential forms: non-uniform degrees, Bézier extraction, polar splines and flows on surfaces
• MHD-kinetic hybrid code based on structure-preserving finite elements with particles-in-cell
• Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis
• LIGKA: A linear gyrokinetic code for the description of background kinetic and fast particle effects on the MHD stability in tokamaks
• Isogeometric Discrete Differential Forms in Three Dimensions
• Finite element exterior calculus, homological techniques, and applications
• Finite element exterior calculus: from Hodge theory to numerical stability
• Low-n shear Alfvén spectra in axisymmetric toroidal plasmas
• Isogeometric Analysis
• A practical guide to splines.
• A Family of Finite Element Stokes Complexes in Three Dimensions
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