Overview
Topic status: We're looking for students to study this topic.
Two-dimensional, gravity-driven free surface fluid flow can be described by a boundary integral equation. Solving the boundary integral equation numerically involves constructing an evenly spaced mesh along the free surface. The numerical solution of the resulting system of nonlinear algebraic equations is computationally expensive and problems with as little as one thousand mesh points become computationally intractable on a desktop machine. In this project we will overcome this problem by introducing Jacobian free methods on an adaptive mesh to solve the nonlinear equations. This will make realistic problems, with several thousand mesh points, computationally feasible on a desktop machine. This project involves computation.
- Study level
- Honours
- Supervisors
- QUT
- Organisational unit
Science and Engineering Faculty
- Research area
- Contact
- Please contact the supervisor.
Dr Matthew Simpson
