Numerical divergent series resummation in fluid flow simulation
Dina Razafindralandy, A. Hamdouni, C. Allery
Jan 1, 2008
Citations
2
Citations
Journal
European Journal of Computational Mechanics
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Semantic Scholar
Key Takeaway Key Takeaway: The Borel-Laplace series resummation method effectively resolves divergent series solutions in fluid flow simulation, improving the efficiency of perturbation theory in fluid mechanics.
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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