Acoustic impedance and hydrodynamic instability of the flow through a circular aperture in a thick plate

Fabre, David; Longobardi, Raffaele; Citro, Vincenzo; Luchini, Paolo

doi:10.1017/jfm.2019.953

Cited by 18 publications

(55 citation statements)

References 27 publications

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“…In the present manuscript, we adopt the same numerical methodology used in Fabre et al (2020) and described in Fabre et al (2019). The computation of the steady-state solutions, the resolution of the linear problems and the time stepping techniques are implemented using the open-source finite element software FreeFem++.…”

Section: Numerical Methodologymentioning

confidence: 99%

“…In the present manuscript, we adopt the same numerical methodology used in Fabre et al. (2020) and described in Fabre et al. (2019).…”

Section: Problem Formulation and Investigation Methodsmentioning

confidence: 99%

“…The mesh selected for this study is M 1 which provides results within the one per cent of relative error with respect to the finest mesh. One of the reasons that led us not to use mesh adaptation is the fact that the structure of the mode greatly changes within Finally, note that the occurrence of two unstable modes has also been documented in the flow past rotating spheres (Citro et al 2016;Fabre et al 2017). However, the spatial structure of the direct and adjoint modes for our geometrical configuration is very different with respect to the case of the rotating sphere flow.…”

Section: Declaration Of Interestsmentioning

confidence: 96%

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Bifurcation scenario in the two-dimensional laminar flow past a rotating cylinder

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Section: Numerical Methodologymentioning

confidence: 99%

“…In the present manuscript, we adopt the same numerical methodology used in Fabre et al. (2020) and described in Fabre et al. (2019).…”

Section: Problem Formulation and Investigation Methodsmentioning

confidence: 99%

Section: Declaration Of Interestsmentioning

confidence: 96%

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Bifurcation scenario in the two-dimensional laminar flow past a rotating cylinder

et al. 2020

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“…cases at Re below and above the threshold value. Recently, a similar reasoning based on the acoustic impedance was also successfully applied to the oscillating flow through a circular hole in a thick plate Fabre et al (2020).…”

Section: Introductionmentioning

confidence: 99%

Vortex-induced vibration prediction via an impedance criterion

et al. 2020

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“…The key idea is to introduce a spatial damping which is independent upon the frequency and thus directly fitted to eigenvalue computations. In a subsequent work Fabre et al [8], the method was successfully applied to the eigenvalue analysis of the jet through a circular hole of nonzero thickness, allowing to capture unstable global modes arising from the existence of a recirculation region within the thickness of the hole.…”

Section: Introductionmentioning

confidence: 99%

Efficient stability analysis of fluid flows using complex mapping techniques

Sierra

Fabre

Citro

2020

Computer Physics Communications

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Global linear stability analysis of open flows leads to difficulties associated to boundaiy conditions, leading to either spurious wave reflections (in compressible cases) or to non-local feedback due to the elliptic nature of the pressure equation (in incompressible cases). A nove( approach is introduced to address both these problems. The approach consists of solving the problem using a complex mapping of the spatial coordinates, in a way that can be directly applicable in an existing code without any additional auxiliaiy variable. The efficiency of the method is first demonstrated for a simple 1D equation modeling incompressible Navier-Stokes, and for a linear acoustics problem. The application to full linearized Navier-Stokes equation is then discussed. A criterion on how to select the parameters of the mapping function is derived by analyzing the effect of the mapping on plane wave solutions. Finally, the method is demonstrated for three application cases, including an incompressible jet, a compressible hole-tone configuration and the flow past an airfoil. The examples allow to show that the method allows to suppress the artificial modes which otherwise dominate the spectrum and can possibly hide the physical modes. Finally, it is shown that the method is still efficient for small truncated domains, even in cases where the computational domain is comparable to the dominant wavelength.* The rev iew of Chis paper was arranged by Prof. N.S. Scocc.

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Acoustic impedance and hydrodynamic instability of the flow through a circular aperture in a thick plate

Cited by 18 publications

References 27 publications

Bifurcation scenario in the two-dimensional laminar flow past a rotating cylinder

Bifurcation scenario in the two-dimensional laminar flow past a rotating cylinder

Vortex-induced vibration prediction via an impedance criterion

Efficient stability analysis of fluid flows using complex mapping techniques

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