Damien Biau

Laboratoire de Dynamique des Fluides

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Alessandro Bottaro

University of Genoa

Gilles Tissot

Institut de recherche mathématique de Rennes

Peter Jordan

Institut Pprime

Xavier Gloerfelt

École nationale supérieure d'arts et métiers

Kenzo Sasaki

KTH Royal Institute of Technology

Leonardo Rigo

École nationale supérieure d'arts et métiers

Flávio J. Silvestre

Technische Universität Berlin

André V. G. Cavalieri

Instituto Tecnológico de Aeronáutica

Håkan Wedin

University of Genoa

H. Wedin

Cooperative Institutions

Centre National de la Recherche Scientifique

Université de Poitiers

École Nationale Supérieure de Mécanique et d'Aérotechnique

Institut Pprime

Instituto Tecnológico de Aeronáutica

University of Genoa

École nationale supérieure d'arts et métiers

Laboratoire de Dynamique des Fluides

ParisTech

Office National d'Études et de Recherches Aérospatiales

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A transition prediction model for boundary layers subjected to free-stream turbulence

Aerospace Science and Technology (2007)

Damien Biau D. Arnal Olivier Vermeersch

Transition point

Laminar-turbulent transition

10.1016/j.ast.2006.08.011

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Citations (13)

Coherent flow states in a square duct

H. Wedin Damien Biau A. Bottaro M. Nagata

Square (algebra)

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Citations (1)

The effect of stable thermal stratification on shear flow stability

Physics of Fluids (2004)

Damien Biau Alessandro Bottaro

We study the effect of buoyancy on shear flow stability. The vertical body force is induced by a vertical, constant, and positive thermal gradient. A linear stability analysis is carried out, in the spatial framework, focusing on both exponential and transient growth. In both cases, positive thermal stratification is found to stabilize the disturbances.

Thermal Stratification

Stratification (seeds)

Linear stability

10.1063/1.1810751

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Citations (17)

Flow in a weakly curved square duct: Assessment and extension of Dean's model

Physical Review Fluids (2021)

Leonardo Rigo Damien Biau Xavier Gloerfelt

The laminar flow in a weakly bent pipe exhibits very rich dynamical properties. The flow is stationary, periodic or chaotic depending on one control parameter. A very practical simplification inspired by Dean is capable of reproducing this behavior with remarkable accuracy.

Square (algebra)

Pipe flow

10.1103/physrevfluids.6.024101

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Citations (8)

Disentangling chaotic laminar and turbulent flow components

HAL (Le Centre pour la Communication Scientifique Directe) (2022)

Damien Biau Leonardo Rigo

Laminar sublayer

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Comptes Rendus Mécanique (2011)

Damien Biau

Eigenfunction

Polar coordinate system

10.1016/j.crme.2011.01.003

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Citations (1)

Transient growth and minimal defects: Two possible initial paths of transition to turbulence in plane shear flows

Physics of Fluids (2004)

Damien Biau Alessandro Bottaro

Two possible initial paths of transition to turbulence in simple wall-bounded shear flows are examined by looking at the development in space of infinitesimal disturbances. The first is the—by-now-classical—transient growth scenario which may have an important role in the bypass transition of flows for which traditional eigenmode analysis predicts asymptotic stability. It is studied by means of a simplified parabolic model justified by the underlying physics of the problem; results for optimal disturbances and maximum transient growth are found in excellent agreement with computations based on the full Orr–Sommerfeld/Squire equations. The second path starts with the exponential amplification, in nominally subcritical conditions, of modal disturbances superposed to base flows mildly distorted compared to their idealized counterparts. Such mean flow distortions might arise from the presence of unwanted external forcing related, for example, to the experimental environment. A technique is described that is capable of providing the worst case distortion of fixed norm for any ideal base flow, i.e., that base flow modification capable of maximizing the amplification rate of a given instability mode. Both initial paths considered here provide feasible initial conditions for the transition process, and it is likely that in most practical situations algebraic and exponential growth mechanisms are concurrently at play in destabilizing plane shear flows.

10.1063/1.1775194

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Citations (38)

The aeroacoustic field produced by a turbulent puff in a duct of square cross section

AIAA Aviation 2019 Forum (2020)

Leonardo Rigo Damien Biau Xavier Gloerfelt

In duct flows, at relatively low Reynolds numbers, the turbulent state is spatially intermittent, turbulence is localized in patches (puffs) separated by laminar regions. A localized turbulent region can be a valuable case study for aeroacoustics, since it naturally fulfills the hypotheses required to use acoustic analogies. We use a database stemming from an incompressible DNS to study the noise generated by an isolated turbulent puff in a square duct at Ma=0.3. We also compute the noise generated in the hypothetical case of free space radiation(i.e. no walls). This case is not realistic since walls are necessary to generate shear and thus turbulence, however the comparison can provide useful information on the puff noise propagation in a duct

10.2514/6.2020-2531

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Restricted nonlinear model for high- and low-drag events in plane channel flow

Journal of Fluid Mechanics (2019)

Frédéric Alizard Damien Biau

A restricted nonlinear (RNL) model, obtained by partitioning the state variables into streamwise-averaged quantities and superimposed perturbations, is used in order to track the exact coherent state in plane channel flow investigated by Toh & Itano ( J. Fluid Mech. , vol. 481, 2003, pp. 67–76). When restricting nonlinearities to quadratic interaction of the fluctuating part into the streamwise-averaged component, it is shown that the coherent structure and its dynamics closely match results from direct numerical simulation (DNS), even if only a single streamwise Fourier mode is retained. In particular, both solutions exhibit long quiescent phases, spanwise shifts and bursting events. It is also shown that the dynamical trajectory passes close to equilibria that exhibit either low- or high-drag states. When statistics are collected at times where the friction velocity peaks, the mean flow and root-mean-square profiles show the essential features of wall turbulence obtained by DNS for the same friction Reynolds number. For low-drag events, the mean flow profiles are related to a universal asymptotic state called maximum drag reduction (Xi & Graham, Phys. Rev. Lett. , vol. 108, 2012, 028301). Hence, the intermittent nature of self-sustaining processes in the buffer layer is contained in the dynamics of the RNL model, organized in two exact coherent states plus an asymptotic turbulent-like attractor. We also address how closely turbulent dynamics approaches these equilibria by exploiting a DNS database associated with a larger domain.

10.1017/jfm.2019.14

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Citations (9)

Sur la stabilité d'un jet annulaire tournant.

HAL (Le Centre pour la Communication Scientifique Directe) (2009)

E. Foucault Damien Biau

Le jet annulaire tournant permet le melange particulierement efficace de fluides et se rencontre frequemment dans des applications variees du genie des procedes (e.g. combustion). Des resultats experimentaux sont compares a une analyse de stabilite lineaire spatio-temporelle. Des progres significatifs ont ete recemment accomplis grace a l'etude de phenomene de resonance de modes globaux qui dominent la dynamique et sont susceptibles de favoriser le melange en regime laminaire de l'ecoulement.

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