Finite volume methods for unidirectional dispersive wave models

Details Finite volume methods for unidirectional dispersive wave models Finite volume methods for unidirectional dispersive wave models

2010-11-20

arxiv.org/abs/1011.4589v3

Physics

Classical Physics

25 pages, 12 figures, 51 references. Other authors papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/

Scientific paper

We extend the framework of the finite volume method to dispersive unidirectional water wave propagation in one space dimension. In particular we consider a KdV-BBM type equation. Explicit and IMEX Runge-Kutta type methods are used for time discretizations. The fully discrete schemes are validated by direct comparisons to analytic solutions. Invariants conservation properties are also studied. Main applications include important nonlinear phenomena such as dispersive shock wave formation, solitary waves and their various interactions.

Affiliated with

Also associated with

No associations

Rating

Finite volume methods for unidirectional dispersive wave models 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 Finite volume methods for unidirectional dispersive wave models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite volume methods for unidirectional dispersive wave models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21903