Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations

DOI10.1007/s10915-017-0509-5zbMath1412.65081OpenAlexW2407525779WikidataQ59528333 ScholiaQ59528333MaRDI QIDQ1743433

Michel Mehrenberger, Maurizio Ottaviani, Yaman Güçlü, Eric Sonnendrücker, Guillaume Latu

Publication date: 13 April 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0509-5

zbMATH Keywords

plasma physicssemi-Lagrangiangyrokineticstokamak plasma

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Nuclear reactor theory; neutron transport (82D75) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83)

Related Items (7)

A locally field-aligned discontinuous Galerkin method for anisotropic wave equations ⋮ Quadratic stability of flux limiters ⋮ Parallel kinetic scheme for transport equations in complex toroidal geometry ⋮ GENE-X: a full-\(f\) gyrokinetic turbulence code based on the flux-coordinate independent approach ⋮ Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction ⋮ Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations ⋮ Stability of Semi-Lagrangian schemes of arbitrary odd degree under constant and variable advection speed

Uses Software

• GYSELA
• QUALIMUWABA
• CYLGYR

Cites Work

• The field line map approach for simulations of magnetically confined plasmas
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• Asymptotic of the Landau constants and their relationship with hypergeometric function
• Positive definite functions and generalizations, an historical survey
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• Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations
• On the relationship between semi-Lagrangian and Lagrange-Galerkin schemes
• Estimates for the constants of Landau and Lebesgue via some inequalities for the Wallis ratio
• Computing ITG turbulence with a full-\(f\) semi-Lagrangian code
• Fehlerfortpflanzung bei Interpolation
• A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation
• Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov--Poisson Equation
• Equivalence of Semi-Lagrangian and Lagrange-Galerkin Schemes Under Constant Advection Speed
• Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov--Poisson system
• On Positivity of Fourier Transforms
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