Université Paris Diderot


  • M. BERHANU (Université Paris Diderot - CNRS)
  • E. FALCON (Université Paris Diderot - CNRS)

Non-linear Hydrodynamic Waves: Wave interactions and Wave turbulence


19-20 September 2013

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Invited Speakers

Location: Université Paris Diderot
Amphitheater Pierre Gilles De Gennes, Level -1, Condorcet Building 10 rue A. Domon et L. Duquet 75013 Paris 75013 Paris - France

    The objective of this meeting is to gather French research community working in the field of hydrodynamics waves. In numerous natural or experimental situations non-linear effects are important on propagation of hydrodynamic waves, producing interesting phenomena (pattern formation, instabilities, mixing, wave breaking ...). With recent advances both in numerical simulation of interfacial flows and in experimental measurement of evolving free surfaces, there is now the possibility to confront accurately observations and theoretical predictions.

The workshop will feature four one-hour talks for invited speakers and several contributed talks of 20 min (doctoral students and postdoctoral researchers are welcome). Time will be reserved for discussions.

Among various open questions (pattern formation, wave flow interaction, solitons, rogue waves, wave breaking ...), this meeting will be dedicated mainly but not only on two subjects:

* Waves interactions. Due non-linear phenomena, waves can exchange energy between different wave numbers. Most common description of these exchanges relies on resonant interactions between triads or quartets. How can they be characterized in experimental situations ? Are these mechanisms valid when the degree of non-linearity is increased ?

* Wave turbulence. It consists in the study of the dynamical and statistical properties of a large ensemble of waves in non linear interaction. In the weakly non-linear case, it can be described analytically with the Weak Turbulence Theory. Nevertheless in most experimental situations, validity hypotheses are not fulfilled, implying a more complex phenomenon. What is the influence of non negligible dissipation acting at all scales (linear viscous damping or wave breaking) ? What are the consequences of coexistence between wave turbulence and coherent structures ?

Although this meeting will be more focused on free-surface hydrodynamics waves, interventions on neighboring subjects are gladly welcome, like:
* Elastic waves on plates
* Internal waves in stratified fluids
 * Inertial waves in rotating fluids
 * Alfven waves in magnetohydrodynamics

There will be no inscriptions fees.
Poster sessions will tape place during the Coffee Breaks.


                                    Thursday September 19th    

10.00 - 11.00   Marc Rabaud Narrow Kelvin wakes. (PDF)

11.00 - 11.20   Coffee Break

11.20 - 11.40  Jean Rajchenbach Observation of star-shaped surface gravity waves(PDF)
11.40 - 12.00  Leonardo Gordillo Dissipation-driven interaction between non-propagating solitons and boundaries. (PDF)
12.00 - 12.20  Basile Gallet Refraction of swell by surface currents.

12.25 - 14.00 Lunch

14.00 - 15.00  Michael Le Bars Inertial waves in planetary fluid layers: (PDF)

15.00 - 15.20  Hélène Scolan Non-linear fate of internal wave attractors.(PDF)
15.20 - 15.40  Chantal Staquet Parametric instability of an internal gravity wave. (CANCELED)
15.20 - 15.40  Pierre-Philippe Cortet Instability of a plane inertial wave and anisotropic transfers
of energy in rotating flows
. (PDF)
15.40 - 16.00  Lucie Alvan 3D simulations of Internal Gravity Waves in stars.  (PDF)

16.00 - 16.20 Coffee Break

16.20 - 16.40  Jerome Hoepffner Self-similar Kelvin-Helmholtz wave. (PDF)
16.40 - 17.00  Germain Rousseaux Experimental Observations of a Capillary bore. (PDF)
17.00 - 17.20  Alexander Ezersky Subharmonic generation of edge waves over a plane beach by breaking waves. (PDF)
17.20 - 17.40  Claude Cambon Strong and "weak" turbulence face to face. (PDF)
17.40 - 18.00  Alexandros Alexakis Rotating Taylor-Green flows. (PDF)

Friday September 20th

09.00 - 10.00  Gregory Falkovich Inverse cascades and condensates.

10.00 - 10.20  Christophe Josserand An inverse cascade in vibrating plates ? (PDF)
10.20 - 10.40  Vishwanath Shukla (with Marc Brachet) 
Turbulence in the two-dimensional Fourier-truncated Gross-Pitaevskii equation. (PDF)

10.40 - 11.00   Coffee Break

11.00 - 11. 20  Pablo Gutierrez Waves and turbulence on the free surface of a MHD flow. (PDF)
11.20 - 11.40   Stéphane Perrard (Presented by Luc Deike) Gravito-capillary waves on a levitated cylinder. (PDF)
11.40 - 12.00   Luc Deike Capillary wave turbulence. (PDF)
12.00 - 12.20   Félicien Bonnefoy Experimental investigation of wave turbulence in large wave basins. (PDF)

12.25 - 14.00 Lunch

14.00 - 15.00   Sergey Nazarenko Cluster of interacting wave triads in Quasi-Geostrophic model: quadratic invariants.

15.00 - 15.20   Brenda Quinn Robust energy transfer mechanism between non-resonant triads in nonlinear wave systems. (PDF)
15.20 - 15.40   Jason Laurie The Kelvin-wave cascade in the vortex filament model: Controversy over ? (PDF)
15.40 - 16.00   Michele Ducceschi Dynamics of the wave turbulence spectrum of undamped elastic plates. (PDF)

16.00 - 16.20 Coffee Break

16.20 - 16.40  Benjamin Miquel Role of dissipation in flexural wave turbulence.
16.40 - 17.00  Thomas Humbert Wave turbulence in vibrating plates : the effect of damping.
17.00 - 17.20  Nicolas Mordant Transition from wave turbulence to dynamical crumpling in vibrated elastic plates.(PDF)


Poster session

                                            1)  Andrew Baggaley The Kelvin Wave Cascade in Superfluid Turbulence.
                                            2)  Enrica Saggese Solitons and freak waves in Currituck Sound.
                                            3)  Djalal Merkoune Swell Current interaction.
                                            4)  Yoann Charles Inertial mode resonance driven by latitudinal libration in a triaxial ellipsoid.
                                            5)  Stefano Maffei Geomagnetic evidence for torsional waves in the outer core.
                                            6) Timothée Jamin & Leonardo Gordillo  Generation of surface waves by an underwater moving bottom.