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Computation of Hopf bifurcations coupling reduced order models and the asymptotic numerical method

Abstract : This work deals with the computation of Hopf bifurcation points in the framework of two-dimensional fluid flows. These bifurcation points are determined by using a Hybrid method[1] which associates an indicator curve and a Newton method. The indicator provides initial values for the Newton method. As the calculus of this indicator is time consuming, we suggest using an algorithm to save computational time. This algorithm alternates reduced order and full size step resolution which are all carried out by using a pertubation method. Hence, the computed vectors on the full size problem are used to define the reduced order model. As the low-dimensional model has a finite validity range, we propose a simple criterion which makes it possible to know
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https://hal.archives-ouvertes.fr/hal-00985306
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Submitted on : Monday, November 23, 2020 - 10:01:51 AM
Last modification on : Thursday, December 9, 2021 - 3:16:11 PM
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J. Heyman, G. Girault, Y. Guevel, C. Allery, Aziz Hamdouni, et al.. Computation of Hopf bifurcations coupling reduced order models and the asymptotic numerical method. Computers and Fluids, Elsevier, 2013, 76, pp.73-85. ⟨10.1016/j.compfluid.2013.02.001⟩. ⟨hal-00985306⟩

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Les métriques sont temporairement indisponibles