An adaptive numerical method for the Vlasov equation based on a multiresolution analysis

N. Besse, F. Filbet, M. Gutnic, I. Paun and E. Sonnendrücker
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N. Besse: CEA
F. Filbet: Université Louis Pasteur, IRMA
M. Gutnic: Université Louis Pasteur, IRMA
I. Paun: Université Louis Pasteur, IRMA
E. Sonnendrücker: Université Louis Pasteur, IRMA

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 437-446 from Springer

Abstract: Summary Simulation of some problems in plasma physics or for high intensity beams requires the numerical resolution of the Vlasov equation on a mesh of phase space which doubles the number of dimensions. In order to optimize the number of mesh points where the distribution is computed, we developed a Vlasov solver using a multi resolution analysis where the distribution function is expanded on a wavelet basis spanning several scales. The idea of the method is to use a semi-Lagrangian type algorithm, where the characteristics are followed backwards, with time splitting between position and velocity advance. The interpolation points are chosen adaptively so as to put the computational effort where necessary. Our initial results using this method are presented.

Keywords: Prediction Operator; Coarse Mesh; Wavelet Decomposition; Mesh Point; Wavelet Basis (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_41

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DOI: 10.1007/978-88-470-2089-4_41

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