
Digital Library of the
European Council for Modelling and Simulation 
Title: 
Numerical Simulation Of Surface
Gravity Waves 
Authors: 
Miguel Onorato 
Published in: 
(2014).ECMS 2014 Proceedings edited
by: Flaminio Squazzoni,
Fabio Baronio, Claudia Archetti,
Marco Castellani European Council for
Modeling and Simulation. doi:10.7148/2014 ISBN:
9780956494481 28^{th}
European Conference on Modelling and Simulation, Brescia,
Italy, May 27^{th} – 30^{th},
2014 
Citation
format: 
Miguel Onorato
(2014). Numerical Simulation Of Surface Gravity Waves, ECMS 2014 Proceedings
edited by: Flaminio Squazzoni,
Fabio Baronio, Claudia Archetti,
Marco Castellani European Council for Modeling and Simulation. doi:10.7148/20140007 
DOI: 
http://dx.doi.org/10.7148/20140007 
Abstract: 
The
dynamics of surface gravity waves, i.e. waves at the interface between water
and air, is governed by the NavierStokes equations
that account for the conservation of momentum and mass of a small but macroscopic
element of fluid. Boundary conditions at the free surface are required in
order to describe the dynamics of the interface. The
numerical simulations of the NavierStokes
equations is in general not an easy task, especially if the Reynolds
number is large enough and turbulence takes place. In the specific case of
surface gravity waves, the computation is even more complicated by the fact
that two fluids (air and water) are part of the domain. Moreover, waves are
generated by a turbulent wind and waves may go through a breaking process in
which air is entrapped in water forming bubbles. In
the talk I will present the state of the art of the simulations of ocean waves
and discuss some recent results obtained using 1)
a level set method (in collaboration with A. Iafrati) and 2)
boundaryfitted approach (in collaboration with F. Zonta). 
Full
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