Research Interests

The author's research interests lie mainly in the application of the finite element method to problems of the type broadly grouped under the classification computational fluid dynamics. The author has also modelled rigid body motion and investigated various aspects of modelling wave refraction, diffraction and diffusion; the ultimate goal in mind being sedimentation processes. The author's interests lean more towards mathematical modelling than engineering, although the distinction between the two is admittedly, often non-existant.

Applications

Examples of some of the more fundamental dynamical problems that the author has successfuly modelled follow:

Driven cavity flows.

The motion of a rigid bodies introduced into the driven cavity.

Ocean waves.

Die swell or "fluid jet" problems.

Theory

Some brief examples of theory that the author has developed:

Automatic mesh generation about moving bodies.

A new, second-order accurate discretisation of the convective term.

A new Poincaré inequality.