BELLEC, Stevan; COLIN, Mathieu; RICCHIUTO, Mario

doi:10.1137/15M104325X

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BELLEC, Stevan
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

COLIN, Mathieu
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]

RICCHIUTO, Mario
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

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Ce document a été publié dans

SIAM Journal on Numerical Analysis. 2016, vol. 54, n° 6, p. 3280-3299

Society for Industrial and Applied Mathematics

Résumé en anglais

In this paper, we present a new systematic method to obtain some discrete numerical models for incompressible free-surface flows.The method consists in first discretizing the Euler equations with respect to one variable, keeping the other ones unchanged and thenperforming an asymptotic analysis on the resulting system. For the sake of simplicity, we choose to illustrate this method in the context of the Peregrine asymptotic regime, that is we propose an alternative numerical scheme for the so-called Peregrine equations.We then study the linear dispersion characteristics of our new scheme and present several numerical experiments to measure the relevance of the method.< Réduire