Overview

Topic status: We're looking for students to study this topic.

The task of computing ship waves (those V-shaped waves observed in the wake of a boat or even a duck) involves the solution of a highly nonlinear free boundary problem. A useful tool is to reformulate the problem using Green's functions, in effect decreasing the dimension by one. Still, even today, the resulting numerical scheme is computationally expensive, and the need to devise accurate but efficient algorithms is vitally important. This project involves applying a variety of powerful techniques to improve existing algorithms for these problems, with the goal that accurate three dimensional wave patterns can be computed on a desktop computer in a reasonable amount of time. Depending on the interests of the student, there are opportunities to explore analytical solutions using transform methods and asymptotic analysis. This project would be supervised by both Dr Mat Simpson and Dr Scott McCue, with further collaboration with PhD student Julian Back.

Study level
Honours
Supervisors
QUT
Organisational unit

Science and Engineering Faculty

Research area

Mathematical Sciences

Contact
Please contact the supervisor.