Wave Phenomena

"The next waves of interest that are easily seen by everyone, and which are usually used as an example of waves in elementary courses, are water waves.

As we shall soon see, they are the worst possible example, because they are in no respect like sound and light; they have all the complications that waves can have"

Richard Feynman

Nonlinear dispersive waves:

A simple introduction to water waves (PDF)

Tsunami wave generation and propagation:

An example of an unstructured grid:

Solitary wave runup on a conical island:

Tsunami wave generation and propagation using a BBM-BBM system:

Tsunami generation using the multi-fault solution (AVI), (Animated gif)

Reflective boundary conditions

Review of some research topics

KdV's solitary wave elastic interaction (AVI)

BBM's solitary wave inelastic interaction (AVI)

Overtaking collision of two solitary waves of the Bona-Smith system (Animated gif) and its dispersive tails (Animated gif)

Head-on collision of two solitary waves of the Bona-Smith system (Animated gif) and its dispersive tails (Animated gif)

2D Boussinesq simulation (AVI)

1D Boussinesq long wave run-up:

Non-breaking solitary wave run-up (Animated gif)

Nearly breaking solitary wave run-up (Animated gif)

Breaking solitary wave run-up (Animated gif)

A new benchmark for Boussinesq systems (Animated gif)