The major interest in the group is in theoretical and computational fluid mechanics. However, members of the group also undertake research in numerical analysis, the electrical discharge in gases, inverse problems and applied analysis.
The group was awarded an EPSRC Portfolio Partnership grant in Complex Fluids and Complex Flows in 2004, an interdisciplinary project involving mathematicians, engineers and computer scientists at Cardiff and Swansea Universities. EPSRC awards these grants to world-leading groups that demonstrate sustained ability in terms of winning substantial grant income while producing outstanding research outcomes. The new appointments made in Applied Mathematics over the last several years and the Portfolio Partnership grant have enhanced significantly the environment for collaborative research in computational and theoretical fluid mechanics within the University and internationally.
Collaborations have been forged with colleagues with interests in the modelling of fluids across the University and the group has hosted a series of joint seminars with speakers from the Schools of Earth Sciences, Medicine and Physics, for example.
Interdisciplinary research on droplet-gas systems (EPSRC) and mantle convection (Leverhulme Trust) has been conducted with colleagues in Engineering and Earth Sciences. Interdisciplinary research involving inverse problems in materials characterization, and modelling the mechanics of time dependent materials has been conducted with Anderssen and de Hoog (Canberra), Emri (Ljubljana), and with Williams (Swansea) on wave dispersion methods for materials characterisation.
A thriving collaborative research partnership, funded by EPSRC, exists with Warwick in the area of transition to turbulence, and Cambridge and Bath on the analysis of scale-interaction effects in continuous media and its applications in material science.