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Professor Tim Phillips Head of School, Mathematics of Cardiff University Since Oct. 2018, become a Distinguished Visiting Professor of Institute for Systems Rheology (ISR), Guangzhou University |
Professor Tim Phillips’s most rec1ent work has been concerned with the development of mathematical models for compressible viscoelastic fluids. This has required an understanding of thermodynamics of complex systems. Professor Tim Phillips also works on the immersed boundary method for fluid-structure interaction problems, biomedical applications of bubble dynamics, modelling of groundwater flow using stochastic finite elements, proper generalized decomposition for elliptic systems and a range of numerical techniques for solving the Fokker-Planck equation. Professor Tim Phillips has a particular interest in spectral element methods and the lattice Boltzmann method.
Selected Publication list:
[1] Croft T L D, Phillips T N. Least-squares proper generalized decompositions for weakly coercive elliptic problems[J]. SIAM Journal on Scientific Computing, 2017, 39(4): A1366-A1388.
[2] Walters M J, Phillips T N. A non-singular boundary element method for modelling bubble dynamics in viscoelastic fluids[J]. Journal of Non-Newtonian Fluid Mechanics, 2016, 235: 109-124.
[3] Claus S, Phillips T N. Viscoelastic flow around a confined cylinder using spectral/hp element methods[J]. Journal of Non-Newtonian Fluid Mechanics, 2013, 200: 131-146.
[4] Phillips T N, Roberts G W. Lattice Boltzmann models for non-Newtonian flows[J]. IMA journal of applied mathematics, 2011, 76(5): 790-816.
[5] Gwynllyw D R, Phillips T N. On the enforcement of the zero mean pressure condition in the spectral element approximation of the Stokes problem[J]. Computer methods in applied mechanics and engineering, 2006, 195(9-12): 1027-1049.
