Séparation des échelles et schémas multiniveaux pour les équations dondes non-linéairesReport as inadecuate




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1 LPP - Laboratoire Paul Painlevé 2 SIMPAF - SImulations and Modeling for PArticles and Fluids LPP - Laboratoire Paul Painlevé, Inria Lille - Nord Europe 3 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée 4 LAMIA - Laboratoire de Mathématiques Informatique et Applications 5 Département de Mathématiques Monastir

Abstract : In this work, we point out and apply some ideas for the numerical simulation by multi- level schemes of several wave equations including dispersive Korteweg de Vries and dissipative ones Kuramoto-Sivashinski. We start from the approach developed for dissipative equations decomposing the solution into large Y and small Z scales, and we show that it is necessary to have a regularization in time to allow stable numerical treatment of Y and Z which are here generated using hierarchical processes such as Wavelets, Incremental Unknowns or Fourier.





Author: Caterina Calgaro - Jean-Paul Chehab - Jacques Laminie - Ezzeddine Zahrouni -

Source: https://hal.archives-ouvertes.fr/



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