Open-boundary spectral and flux-balance Vlasov simulation

Simulations of one-dimensional Vlasov–Maxwell solutions with non-periodic boundary conditions are discussed. Results obtained using a recently developed filtered flux-balance simulation system are compared to those obtained using a filtered, Fourier–Fourier transformed system. Excellent agreement is...

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Bibliographic Details
Published in:Journal of plasma physics 2019-12, Vol.85 (6), Article 905850610
Main Authors: Klimas, Alexander J., Viñas, Adolfo F.
Format: Article
Language:English
Subjects:
Algorithms
Boundary conditions
Electric fields
Fluctuations
Flux
Gibbs phenomenon
Plasma physics
Polynomials
Simulation
Velocity
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Summary:Simulations of one-dimensional Vlasov–Maxwell solutions with non-periodic boundary conditions are discussed. Results obtained using a recently developed filtered flux-balance simulation system are compared to those obtained using a filtered, Fourier–Fourier transformed system. Excellent agreement is confirmed except for the appearance of the Gibbs phenomenon on the discontinuous simulated solutions of the transformed system. Recovery of the flux-balance results from the Fourier transformed results using the inverse polynomial reconstruction method is demonstrated.
ISSN:0022-3778
1469-7807
DOI:10.1017/S0022377819000849