Comparison of different interpolation operators including nonlinear ă subdivision schemes in the simulation of particle trajectories

Abstract : In this work, we compare different interpolation operators in the ă context of particle tracking with an emphasis on situations involving ă velocity field with steep gradients. Since, in this case, most classical ă methods give rise to the Gibbs phenomenon (generation of oscillations ă near discontinuities), we present new methods for particle tracking ă based on subdivision schemes and especially on the Piecewise Parabolic ă Harmonic (PPH) scheme which has shown its advantage in image processing ă in presence of strong contrasts. First an analytic univariate case with ă a discontinuous velocity field is considered in order to highlight the ă effect of the Gibbs phenomenon on trajectory calculation. Theoretical ă results are provided. Then, we show, regardless of the interpolation ă method, the need to use a conservative approach when integrating a ă conservative problem with a velocity field deriving from a potential. ă Finally, the PPH scheme is applied in a more realistic case of a ă time-dependent potential encountered in the edge turbulence of ă magnetically confined plasmas, to compare the propagation of density ă structures (turbulence bursts) with the dynamics of test particles. This ă study highlights the difference between particle transport and density ă transport in turbulent fields. (C) 2012 Elsevier Inc. All rights ă reserved.
Type de document :
Article dans une revue
Journal of Computational Physics, Elsevier, 2013, 236, pp.346-366. 〈10.1016/j.jcp.2012.11.025〉
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Dernière modification le : lundi 1 octobre 2018 - 16:03:19

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Bouchra Bensiali, Kowsik Bodi, Guido Ciraolo, Philippe Ghendrih, Jacques Liandrat. Comparison of different interpolation operators including nonlinear ă subdivision schemes in the simulation of particle trajectories. Journal of Computational Physics, Elsevier, 2013, 236, pp.346-366. 〈10.1016/j.jcp.2012.11.025〉. 〈hal-01464719〉

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