I am Assistant Professor of Fluid Dynamics and Applied Mathematics at DynFluid, a fluid dynamics laboratory part of Arts & Métiers Institute of Technology in Paris, France since September 2016.

Research Activities

Using a dynamical system point of view, most of my research activities are dedicated to the study of the physical mechanisms leading various kind of flows to transition to turbulence and to the modeling of these systems using data-driven techniques.

Transition to turbulence : Transition to turbulence is one of the most important unsolved problem in fluid dynamics. From an engineering point of view, turbulence may be beneficial (e.g. in mixing problems) or detrimental (e.g. in aerodynamics applications). In either case, a better understanding of the physical mechanisms causing the flow to transition to turbulence is needed. This increased understanding may then be used to try to promote or delay transition. In this context, part of my research is dedicated to understanding these mechanisms and predicting the onset of turbulence by using tools from dynamical system theory. In particular, we develop large-scale Newton-Krylov and eigenvalue solvers to perform stability analyses of fully three-dimensional flow configurations. This work has recently culminated in the development of nekStab, a user-friendly toolbox for the spectral element solver Nek5000. This toolbox will be released as open-source very shortly.

Data-driven modeling : Although stability analyses might provide valuable insights into the physics of the flow, it does not necessarily leads to simple models that could be used for real-time control or estimation. Moreover, if one only has access to experimental facilities, such stability analyses are not possible. In order to accomodate for these limitations, one can instead shift from first principles to a data-driven paradigm. In this context, most of my research is dedicated to the development and perfection of innovative data-driven techniques. In particular, close attention is being paid to the data efficiency and robustness of the methods proprosed. Another crucial aspect of my work, in collaboration with Steven Brunton from the University of Washington (Seattle, USA) is the development of interpretable system identification techniques such as SINDy. In addition to the interpretability, we also emphasize the importance of being able to incorporate prior physical knowledge in the modeling procedure, often leading to even more interpretable and robust models.

Open positions and opportunities

Postdoctoral Research Opportunity: The French National Agency for Research has funded my 4 years project CONMAN (see here for the complete proposal) whose aim is to improve and develop new data-driven techniques for control and reduced-order modeling purposes, with a strong emphasis in fluid dynamics. I am thus actively looking for a postdoctoral collaborator to work with me in Paris! The position is fully funded for a duration of up to 18 months. If you are interested, please do not hesitate to get in touch!

My research group

Current members

image Mohamed El Hawary is an Egyptian student and the newest member of this research group. He just started his Ph.D. under the co-supervision of Antoine Dazin (Arts & Métiers, Lille), Francesco Romano (Arts & Métiers, Lille) and myself. The core of his work will be dedicated to the development of efficient and robust control strategies for turbomachines with a special emphasis on data-driven techniques such as DMD with control, ERA and Reinforcement Learning.

Former members

image Gabriele Nastro was an Italian PostDoc in the lab. He defended his thesis entitled Non-modal stability of variable-density roud jets in October 2020 under the supervision of Laurent Joly and Jérôme Fontaine at ISAE, Toulouse. He has been working on the sensitivity to localized actuators of the high Reynolds number flow past a NACA airfoil in pre-stall conditions. This work is part of the CleanSky (H2020) European project PERSEUS in collaboration with the University of Orléans. Since early November 2022, he is Assistant Professor at ISAE, Toulouse (France).

image Ricardo Frantz is a Brazilian researcher who recently defended is PhD thesis entitled Floquet analyses of complex flows. This work was prepared under the joint supervision of myself and Jean-Christophe Robinet. Over the past three years, the core of his work has been to implement Newton-Krylov and eigenvalue solvers for large-scale systems such as the ones resulting from the discretization of the Navier-Stokes equations. He is also one of the main developer of nekStab, our in-house toolbox for large-scale stability analyses in Nek5000 which will be released as open-source shortly. As of June 2022, he will start as a postdoctoral researcher at Institute Jean le Rond d’Alembert working with Taraneh Sayadi.

image Cosimo Tarsia Morisco did his Ph.D. under the joint supervision of Jean-Christophe Robinet and myself. His thesis, entitled Nonlinear dynamics and linear stability of over-expanded nozzle flows was funded by Ariane Group and was defended on December 2020 in front of Abdellah Hadjadj (INSA, Rouen), Sébastien Deck (ONERA, Paris), Lutz Lesshafft (Ecole Polytechnique, Paris), and Vincent Jaunet (Institut Pprime, Poitiers). His manuscript can be found here. He now is a Research Engineer at INRIA, Paris.

Latest News

WorkshopNov. 2022 : I gave a presentation entitled Introduction to system identification at a workshop organized by the French Association for Laser Velocimetry held in Paris mid November. The slides can be found here.
WorkshopOct. 2022 : I gave a presentation entitled Unifying framework for data-driven linear modelling at the IUTAM Symposium on Data-driven Mechanics held in Paris late October. The slides can be found here.
PaperOct. 2022 : Our latest paper with Omar Chebab, Alexandre Defossez, Alexandre Gramfort and Jean-Rémi King on Deep recurrent encoder: an end-to-end network to model magnetoencephalography at scale is now available online in Neurons, Behavior, Data Analysis and Theory. It can be found here.
SeminarOct. 2022 : I have been invited to give a lecture entitled Demistifying artificial neurons during a group work session organized by Académie d’Orlans-Tours to think about the role of AI in Education. The presentation slides can be found here.
LectureMay 2022 : I have been invited to give a lecture On the importance of low-dimensional structures for data-driven modeling during an immersion week in IA organized by the Sorbonne Center for Artificial Intelligence. The slides can be found here along with some Jupyter Notebooks.
PaperMay 2022 : Our most recent paper with Jared Callaham, Georgios Rigas, and Steven Brunton on An empirical mean-field model of symmetry-breaking in a turbulent wake is now published in Science Advances. It is open-access and can be found here.
PaperFeb. 2022 : Our latest paper with Andrea Sansica, Masashi Kanamori, Atsushi Hashimoto and Jean-Christophe Robinet on System Identification of two-dimensional transonic buffet is now available online in AIAA Journal. It can be found here.
PaperNov. 2021 : Our latest paper with Jared Callaham and Steven Brunton On the role of nonlinear correlations in reduced-order modeling is now published in Journal of Fluid Mechanics. It is open-access and can be found here.
ConferenceNov. 21-23 2021 : Jared Callaham, a Ph.D. student of Steven Brunton, will be giving a talk about our latest work on the role of nonlinear correlations in reduced-order modeling at the 74th Annual Meeting of the Division of Fluid Dynamics in Phoenix, Arizona. The companion paper has now been accepted for publication in J. Fluid Mech. while the preprint can be found on arXiv.
ConferenceNov. 21-23 2021 : My Ph.D. student Ricardo Frantz will be giving a talk about Floquet analyses of complex 3D flows at the 74th Annual Meeting of the Division of Fluid Dynamics in Phoenix, Arizona.
ConferenceNov. 21-23 2021 : I’ll be giving a talk about nekStab: open-source toolbox for large-scale stability analysis in Nek5000 at the 74th Annual Meeting of the Division of Fluid Dynamics in Phoenix, Arizona.
BookSep. 29nd 2021 : The second chapter of my new Jupyter Book Scientific Computing on a laptop (Python version) is now online. It deals with the famous Mandelbrot set. It can be found here.
BookSep. 22nd 2021 : I finally had time to start writing my new Jupyter Book Scientific Computing on a laptop (Python version). The first chapter about efficient n-body simulations can be found here.
WorkshopJune 2021 : I have been invited to give a talk entitled Instability and transition in three-dimensional boundary layers to the Journée Fluides et Couches limites organized at Université de Cergy-Pontoise. The slides are not available online but you shoot me an email if you’re interested.
PaperJune 2021 : Our latest paper with Jared Callaham, Georgios Rigas and Steven Brunton on Nonlinear stochastic modelling with Langevin regression is now published in Proceedings of the Royal Society A. It is open-access and can be found here.
PaperJune 2021 : Our latest paper with Alessandro Bucci, Stefania Cherubini and Jean-Christophe Robinet on the Influence of freestream turbulence on the flow over a wall roughness is now published in Physical Review Fluids. An open-access version can be found here.
SeminarNov. 12th 2020 : I have been invited by Francesco Romano to give a seminar entitled Dimensionality reduction and system identification in fluid dynamics in the LMFL Webinars series. Recording of the talk can be found here.
PaperJuly 2020 : My first single-author paper on Data-driven modeling of the chaotic thermal convection in an annular thermosyphon is now published in Theoretical and Computational Fluid Dynamics. An open-access version can be found here.
SeminarMar. 6th 2020 : I have been invited by Alessandro Bucci to give a seminar entitled Dimensionality reduction and system identification of physical systems : chaotic convection, a case study at INRIA.
SeminarNov. 26th 2019 : I have been invited by Steven Brunton to give a seminar entitled A brief overview of SINDy at the University of Washington in Seattle (USA).
WorkshopSept. 4th - Dec. 8th 2019 : I have been invited to give a talk at the IPAM’s long program Machine Learning for Physics and the Physics of Learning. My intervention will be part of the third workshop on Validation and guarantees in learning physical models: from patterns to governing equations to laws of nature taking place from Oct. 28th to Nov. 1st. The talk and slides can be found online here.