Wave Trapping Around Islands
Islands are subject to tides, seismic waves as well as wind generated waves. If any of these are trapped, that is the energy of the wave goes continuously around the
Category Archives: Applied Mathematics
Natural Ventilation
The study of how to ventilate a room without recourse to air conditioning has practical application to theatres and libraries where all but the quietest noise has to be avoided.
Wind Driven Circulation
In the ocean the main gyres responsible for how the sea circulates are generated by the climatic winds. In this project you will derive the equations that govern this process
The Numerical Solution of the p-Laplace Equation in a Geometry with Sharp Corners
Certain types of fluids do not respond in a linear way to external forces – they are called non-Newtonian fluids. A simple model of a non-Newtonian fluid which is widely
Perturbation Methods
Perturbation methods are used to investigate solutions to mathematical problems in which exact solutions can’t be found but in which there is a parameter whose size (usually very small) allows
Non-linear Waves
This project concerns deriving equations that govern the propagation of waves on water, then solving them. These equations have two well-known solutions, the solitary wave (or soliton) and cnoidal waves.
Chebychev Polynomials
In this project the aim is to study the mathematical properties of Chebychev polynomials and their role in numerical approximation. The concept of ‘good’ and ‘best’ numerical approximations and the
Particle methods for fluid dynamics
Particle-based numerical methods have been used extensively by Hollywood in modelling dramatic events such as floods or sinking ships. This project would investigate smoothed particle hydrodynamics (SPH) models or, possibly,
Numerical methods for PDE’s
Partial differential equations describe how the three/four dimensional world works. Solving such equations is the key to understanding the behaviour of many physical, chemical, biological or financial systems. A large