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.
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Besse, N., Filbet, F., Gutnic, M., Paun, I., Sonnendrücker, E. (2003). An adaptive numerical method for the Vlasov equation based on a multiresolution analysis. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_41
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DOI: https://doi.org/10.1007/978-88-470-2089-4_41
Publisher Name: Springer, Milano
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