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I 'm an applied mathematician, meaning that I'm interested in 'real world problems' that benefit from being analysed using theoretical/mathematical models. I have done a lot of work on problems involving the interaction between elastic bodies and viscous fluids, often motivated by physiological flow problems such as the dynamics of the liquid lining in the pulmonary airways. I'm particularly keen on problems that require the use of new and clever numerical techniques and I spend a lot of time developing and implementing such methods in our group's scientific computing library “oomph-lib” which is developed and maintained jointly with my colleague Andrew Hazel. We and others have used the library for a wide range of problems, including the modelling of free-surface flow of chocolate (joint work with an industrial collaborator from Birmingham), and underwater acoustics problems (again with an industrial collaborator). More recently I've been involved in a project concerned with modelling the melting of debris-covered glaciers.
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Communications Physicsno. 1 (2024): 1-9
Soft matterno. 42 (2023): 8203-8212
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arXiv (Cornell University) (2023)
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