Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model

Details Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model

2010-04-20

arxiv.org/abs/1004.3436v1

Physics

Atmospheric and Oceanic Physics

Scientific paper

We investigate here the ability of a Green-Naghdi model to reproduce strongly nonlinear and dispersive wave propagation. We test in particular the behavior of the new hybrid finite-volume and finite-difference splitting approach recently developed by the authors and collaborators on the challenging benchmark of waves propagating over a submerged bar. Such a configuration requires a model with very good dispersive properties, because of the high-order harmonics generated by topography-induced nonlinear interactions. We thus depart from the aforementioned work and choose to use a new Green-Naghdi system with improved frequency dispersion characteristics. The absence of dry areas also allows us to improve the treatment of the hyperbolic part of the equations. This leads to very satisfying results for the demanding benchmarks under consideration.

Affiliated with

Also associated with

No associations

Rating

Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-473053