Overview
Topic status: We're looking for students to study this topic.
A Stefan problem is a particular kind of moving boundary problem, associated with tracking the interface between two phases of matter. For example, Stefan problems can be used to model the melting of ice in water and the growth of a dendritic crystal. In the latter case, instability of the undercooling process that drives the crystal growth causes the solid to grow into the liquid phase in a finger-like fashion. Level set methods are a versatile means for representing and tracking the interface in the presence of these fingers or other complicated geometries such as cusps or even multiple regions merging together or breaking off. This computational project would see the implementation of such methods applied to various problems in the literature. Depending on the interests of the student, there may be an opportunity for analytical work, such as formal stability analysis or complex variable theory. If time permits, the project could involve new research.
- Study level
- Honours
- Supervisors
- QUT
- Organisational unit
Science and Engineering Faculty
- Research area
- Contact
- Please contact the supervisor.
Dr Timothy Moroney
