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Numerical divergent series resummation in fluid flow simulation

Abstract : The perturbation theory has proved to be an efficient tool for the numerical resolution of non-linear problems in mechanics. However, it is not suitable for singular problems, for which the series solution is divergent. We propose to use the Borel-Laplace series resummation method for the resolution of such a problem. The resulting algorithm is applied to some model problems in fluid mechanics
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Submitted on : Monday, April 1, 2019 - 10:47:24 AM
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Dina Razafindralandy, Aziz Hamdouni, Cyrille Allery. Numerical divergent series resummation in fluid flow simulation. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, Hermès / Paris : Lavoisier 2008, 17 (4), pp.431-451. ⟨hal-00315330⟩

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