Adaptive multilevel modelling of two-phase flow problems
- Self-funded PhD students only
- Number of awards: 1
- Deadline: Ongoing
- Supervisors: Contact Professor Peter Jimack to discuss this project further informally.
This project will seek to extend the state-of-the-art capabilities described above for phase field simulations to more general multiphase problems. In particular the work will focus on the flow of two immiscible fluids and the flow of such fluids within a porous medium. Rather than using a phase-field model, this project will model the interface using the so-called level set method. This approach introduces a non-physical level-set variable whose zero-contour is used to represent the interface between the fluids. The need to have a highly refined mesh around this moving interface is still extremely important, and for many problems adaptive implicit time-stepping will provide the most efficient numerical scheme so long as a suitable non-linear algebraic solver can be found. As for the phase-field solver described above, the use of multigrid methods will provide just such a solver. Hence this computational approach offers the ability to solve many important two-phaseflow problems with an accuracy and efficiency that is not currently possible. Test problems that will be used to demonstrate the advances made will include: the displacement of oil by brine in a porous medium, as used in oil extraction processes; and the displacement of bone marrow by non-Newtonian cements, as used in certain medical interventions for osteoporotic bone weakness.
You must have achieved a bachelor degree with a 2:1 (hons), or equivalent, or a good performance in a Masters level course in a relevant subject. We also recognise relevant industrial and academic experience.
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