Wind wave generation in finite depth
3rd International Conference on Fluid Dynamics & Aerodynamics
October 25-26, 2018 | Berlin, Germany

Anouchah Latifi, Miguel A Manna, Pablo Montalvo, Manon Ruivo and Roberto A Kraenkel

Qom University of Technology, Iran
Universite Montpellier, France
Universidade Estadual Paulista, Sao Paulo, Brazil

Scientific Tracks Abstracts: J Appl Mech Eng

Abstract:

In this work, we present the extension of the Miles??? and Jeffreys??? theories of the wind wave generation to finite depth through three different approaches; linear approach, quasi-linear approach and fully nonlinear approach. In the first case, the dispersion relation provides a depth dependent wave growth rate providing a good agreement with the data from the Australian shallow water experiment as well as the data from the Lake George experiment. In the second case, the evolution of wind waves in finite depth is reduced to an anti-dissipative Korteweg-de Vries-Burgers equation, and its solitary wave solution is exhibited presenting blow up and breaking in finite time. Finally, in the third case, the full nonlinear Green-Naghdi model equation is derived and two families of growth rate and their allowed minimum and maximum values are exhibited. Recent Publications 1. M A Manna, A Latifi and R A Kraenkel (2018) Green-Naghdi dynamics of surface wind waves in finite depth. Fluid Dynamics Research 50:025514. 2. A Latifi, M A Manna, P Montalvo and M Ruivo (2017) Linear and weakly nonlinear models of wind generated surface waves in finite depth. Journal of Applied Fluid Mechanics 10:1829-1843. 3. S Nayeh, A Latifi, S Arbabi and M Ghominejad (2016) Breaking of parallelograms in presence of torsion: an equivalent alternative approach to detect gravitational waves. International Journal of Geometric Methods in Modern Physics 13:1650119-32. 4. A Latifi (2016) Integrable nonlinear coupled waves with exact asymptotic singular solution in the context of laser-plasma interaction. Nonlinearity 29:1926???1941.

Biography :

Anouchah Latifi completed his PhD in the year 1991 from Montpellier University-France. After passing several years in reputed institutions in USA, Belgium, France and many other countries, he is now attached to the Qom University of Technology in Iran and is the Founder and Organizer of the yearly Iranian Mathematical Physics Conferences. He is expertise in nonlinear coupled waves, nonlinear evolution equations and integrability. He has also many activities in solar energy and environmental projects.

E-mail: latifi@qut.ac.ir