Journal ArticleDOI
A parallel Vlasov solver based on local cubic spline interpolation on patches
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A local cubic splines interpolation method based on a domain decomposition, e.g. Hermite boundary conditions between the domains, using ad hoc reconstruction of the derivatives, provide a good approximation of the global solution.About:
This article is published in Journal of Computational Physics.The article was published on 2009-03-30. It has received 51 citations till now. The article focuses on the topics: Monotone cubic interpolation & Spline interpolation.read more
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A 5D gyrokinetic full- f global semi-Lagrangian code for flux-driven ion turbulence simulations
Virginie Grandgirard,J. Abiteboul,Julien Bigot,T. Cartier-Michaud,Nicolas Crouseilles,Guilhem Dif-Pradalier,C. Ehrlacher,D. Esteve,Xavier Garbet,Philippe Ghendrih,Guillaume Latu,Michel Mehrenberger,C. Norscini,C. Passeron,Fabien Rozar,Yanick Sarazin,Eric Sonnendrücker,Antoine Strugarek,David Zarzoso +18 more
TL;DR: This paper addresses non-linear gyrokinetic simulations of ion temperature gradient (ITG) turbulence in tokamak plasmas by presenting a complete description of the electrostatic Gysela code's multi-ion species version including a numerical scheme, high level of parallelism up to 500k cores and conservation law properties.
Journal ArticleDOI
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system
TL;DR: A new family of semi-discrete numerical schemes for the approximation of the one-dimensional periodic Vlasov-Poisson system is constructed and optimal error estimates are shown for all the proposed methods in the case of smooth compactly supported initial data.
Journal ArticleDOI
Discontinuous galerkin methods for the multi-dimensional vlasov–poisson problem
TL;DR: Two new semi-discrete numerical methods for the multi-dimensional Vlasov–Poisson system are introduced and a scheme that preserves the total energy of the system is proposed.
Journal ArticleDOI
Neoclassical physics in full distribution function gyrokinetics
Guilhem Dif-Pradalier,Patrick Diamond,Virginie Grandgirard,Yanick Sarazin,J. Abiteboul,Xavier Garbet,Philippe Ghendrih,Guillaume Latu,Antoine Strugarek,Seung-Hoe Ku,Choong-Seock Chang +10 more
TL;DR: A spectrum of different collision operators is presented in this article, differing through both the physics that can be addressed and the numerics they are based on, and a detailed confrontation to neoclassical theory is shown.
References
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Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Book
Computer simulation using particles
R W Hockney,J W Eastwood +1 more
TL;DR: In this paper, a simulation program for particle-mesh force calculation is presented, based on a one-dimensional plasma model and a collisionless particle model, which is used to simulate collisionless particle models.
BookDOI
Plasma physics via computer simulation
TL;DR: In this article, the authors describe the theoretical effects of the spatial grid, energy-conserving simulation models, multipole models, and Kinetic theory for fluctuations and noise collisions.
Journal ArticleDOI
Semi-Lagrangian integration schemes for atmospheric models - A review
Andrew Staniforth,Jean Côté +1 more
TL;DR: Semi-Lagrangian methods have been applied to 2D and 3D atmospheric flows in both Cartesian and spherical geometries as discussed by the authors, and their accuracy, stability, and efficiency properties are reviewed.
Book
Vortex Methods: Theory and Practice
TL;DR: The book Vortex Methods: Theory and Practice presents a comprehensive account of the numerical technique for solving fluid flow problems, and goes into some detail on the more recent developments that attempt to account for viscous effects.