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Article Dans Une Revue Journal of Computational Physics Année : 2012

Accurate, non-oscillatory, remeshing schemes for particle methods

Résumé

In this article we propose and validate new remeshing schemes for the simulation of transport equations by particle methods. Particle remeshing is a common way to control the regularity of the particle distribution which is necessary to guarantee the accuracy of particle methods in presence of strong strain in a flow. Using a grid-based analysis, we derive remeshing schemes that can be used in a consistent way at every time-step in a particle method. The schemes are obtained by local corrections of classical third order and fth order interpolation kernels. The time-step to be used in the resulting push-and-remesh particle method is determined on the basis of rigorous bounds and can signi cantly exceed values obtained by CFL conditions in usual grid-based Eulerian methods. In addition, we extend the analysis of [5] to obtain TVD remeshing schemes that avoid oscillations of remeshing formulas near sharp variations of the solution. These methods are illustrated in several flow conditions in 1D, 2D and 3D.
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Dates et versions

hal-00588848 , version 1 (26-04-2011)

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Adrien Magni, Georges-Henri Cottet. Accurate, non-oscillatory, remeshing schemes for particle methods. Journal of Computational Physics, 2012, 231 (1), pp.152-172. ⟨10.1016/j.jcp.2011.09.005⟩. ⟨hal-00588848⟩
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