arXiv subjects

Luc Pastur

Publications and source records attributed to Luc Pastur.

6 recordsLinked to original sources

arXiv2025

Reduced order modelling of Hopf bifurcations for the Navier-Stokes equations through invariant manifolds

This work introduces a parametric simulation-free reduced order model for incompressible flows undergoing a Hopf bifurcation, leveraging the parametrisation method for invariant manifolds. Unlike data-driven approaches, this method operates directly on the governing equations, eliminating the need for full-order simulations. The proposed model is computed at a single value of the bifurcation parameter yet remains valid over a range of values. The approach systematically constructs an invariant manifold and embedded dynamics, providing an accurate and efficient reduction of the original system. The ability to capture pre-critical steady states, the bifurcation point, and post-critical limit cycle oscillations is demonstrated by a strong agreement between the reduced order model and full order simulations, while achieving significant computational speed-up.

cs.CE↗

arXiv2025

A mixing length model for arbitrary geometry: the case of parallel flows

We present a phenomenological model for the mixing length used in turbulence models. It has the advantage of naturally accounting for the object's geometry while satisfying the standard symmetries of the Navier-Stokes equations. We employ the model to study channel flow and pipe flow. We calibrate the three model parameters to recover the damping in the viscous sub-layer, the log-law of the wall, and the outer region behaviors. Our model compares favorably to friction factor measurements in the pipe flow at high Reynolds numbers and gives analytical predictions of the mixing length for several canonical flows.

physics.flu-dyn↗

arXiv2016

Qualitative dynamics of wavepackets in turbulent jets

It has long been established that turbulent jets comprise large-scale coherent structures, now more commonly referred to as "wavepackets". These structures exhibit a remarkable spatio-temporal organisation, despite turbulence. In this work we analyse, from a qualitative point of view, the temporal dynamics of axisymmetric wavepackets educed, experimentally, from subsonic iso-thermal jets. We use the data presented by, where time-series of the wavepackets are extracted at different streamwise locations. A thorough analysis is performed, statistical tools are used for estimating the embedding and correlation dimensions characterising the dynamical system. System identification is used for computing nonlinear surrogate models. Finally, control-oriented linear models are computed. The goal of the contribution is to assess the extent to which non-linear models are necessary, or appropriate, for description of the temporal wave-packet dynamics and to provide a complementary perspective to the current modelling.

physics.flu-dyn↗

arXiv2007

Apparition de structures tourbillonnaires de type Görtler dans une cavité parallélépipédique ouverte de forme variable

The interaction between a laminar boundary layer and an open cavity is investigated experimentally for Reynolds numbers between 860 and 32300. Flow visualizations are carried out for different observation directions in order to understand the spatial development of dynamical structures. The study is conducted by changing the cavity length and height and the external flow velocity, and therefore the flow patterns inside the cavity. The issue is to emphasize the three-dimensional development of the flow. In particular, we show that the cavity dynamical structures are not due to secondary shear layer instabilities. Görtler-type vortices are developing inside the cavity for some parameters and their properties are discussed. The existence diagram of these instabilities is also provided.

physics.class-ph↗

arXiv2006

Développement d'instabilités dans un écoulement subsonique se développant au-dessus d'une cavité : mesures synchronisées PIV-LDV

A boundary layer interacting with a cavity is a benchmark case that is present in environmental applications, aeronautics, automobile aerodynamics or industrial applications, where the velocity over a rectangular cavity is relatively low. In the present investigation, the interaction between a laminar boundary layer with external velocity Ue and an open cavity is investigated experimentally for medium range Reynolds numbers (between 4600 and 18500) with flow diagnostics optical methods, for a cavity aspect ratio (length over depth) of two. A shear layer induces a main vortex and a counter-rotating secondary vortex inside the cavity. The shear layer also develops instabilities interacting with the downstream cavity edge. Particle image velocimetry (PIV) and laser Doppler velocimetry (LDV) measurements are synchronized in order to get global information of both spatial velocity fields and time-resolved signals in a particular position situated downstream of the development of the shear layer above the cavity. The PIV velocity fields are phase-averaged with a singular value decomposition of the LDV signal.

physics.class-ph↗

arXiv2003

Sources, sinks and holes in a one-dimensional traveling wave convection experiment

We study dynamical behavior of local structures, such as sources and holes, in traveling wave patterns in a very long (2 m) heated wire convection experiment. The {\em sources} undergo a transition from stable coherent behavior to erratic behavior when the driving parameter $ε$ is {\em decreased}. This transition, as well as the scaling of the average source width in the erratic regime, are both qualitatively and quantitatively in accord with earlier theoretical predictions. We also present new results for the {\em holes} sent out by the erratic sources.

cond-mat.stat-mech↗