A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

Mathematics – Numerical Analysis

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

10.1016/j.jcp.2010.11.015

The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more suitable for numerical resolution. An hybrid finite volume and finite difference splitting approach is then proposed. The hyperbolic part of the equations is handled with a high-order finite volume scheme allowing for breaking waves and dry areas. The dispersive part is treated with a classical finite difference approach. Extensive numerical validations are then performed in one horizontal dimension, relying both on analytical solutions and experimental data. The results show that our approach gives a good account of all the processes of wave transformation in coastal areas: shoaling, wave breaking and run-up.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A splitting approach for the fully nonlinear and weakly dispersive 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 A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-628515

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.