Professor Tim Phillips
Overview
Position:
Cardiff Professorial Fellow and Professor
Email:
PhillipsTN@cardiff.ac.ukTelephone: +44(0)29 208 74194
Fax: +44(0)29 208 74199
Extension: 74194
Location: M/2.38
Research Interests
Professor Phillips’s research interests include numerical analysis, spectral methods, computational fluid dynamics and rheology. He is an international authority on high-order discretization methods for solving problems in computational fluid dynamics, especially with respect to problems in rheology. He has written over one hundred research articles and contributions to conference proceedings. His first book, Computational Rheology, was published by Imperial College Press in 2002. His research activities have generated substantial funding from EPSRC, EU and Industry. He is one of the principal investigators in an EPSRC funded Portfolio Partnership in the area of Complex Fluids and Complex Flows, which is an interdisciplinary research network involving chemical engineers and computer scientists at University of Wales, Swansea. He is a member of the EPSRC College and a Council member of the British Society of Rheology.
Research Group
Recent Publications
Bollada, P C and Phillips T N, A physical decomposition of the stress tensor for complex flows. Rheologica Acta 47 (2008), 719-725.
Bollada P C and Phillips T N, An anisothermal compressible piezoviscous model for journal bearing lubrication. International Journal for Numerical Methods in Fluids 58 (2008), 27-55.
Gerritsma M I and Phillips T N, On the characteristics and compatibility equations for the UCM model fluid. Zeitschrift fur Angewandte Mathematik und Mechanik 8 (2008), 523-539.
Phillips T N and Gwynllyw D Rh, On the enforcement of the zero mean pressure condition in the spectral element approximation of the Stokes problem, Computer Methods in Applied Mechanics and Engineering, 2006, 1027-1049, 195 (9-12).
Phillips T N and Ervin V J, Residual a posteriori error estimator for a three-field model of a generalized Stokes problem, Computer Methods in Applied Mechanics and Engineering, 2006, 2599-2610, 195 (19-22).
Phillips T N and Owens R G, Computational Rheology, Imperial College Press, 2002, 417 + xv pages, ISBN: 1860941869.
Phillips T N and Gerritsma M I, On the use of characteristic variables in viscoelastic flow problems, IMA Journal of Applied Mathematics, 2001, 127-147, 66 (2).
Teaching
MA0379 Numerical Solution of Elliptic Differential Equations
Administrative Duties
Director of Research
Chair of School Research Committee
Member of School Management Committee
Member of MAGIC Academic Steering Committee
Member of ARCCA Operational and User Group
Publications
MathSciNet
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Google Scholar
2008
Bierbrauer F and Phillips T N, The numerical prediction of droplet deformation and break-up using the Godunov marker-particle projection scheme. International Journal for Numerical Methods in Fluids 56 (2008), 1155-1160.
Reis T and Phillips T N, An alternative approach to the solution to the dispersion equation for a generalized lattice Boltzmann equation. Physical Review E 77 (2008), 026702.
Reis T and Phillips T N, Numerical validation of a consistent axisymmetric lattice Boltzmann model. Physical Review E 77 (2008), 026703 .
Gwynllyw D Rh and Phillips T N, The influence of Oldroyd-B and PTT lubricants on moving journal bearing systems. Journal of Non-Newtonian Fluid Mechanics 150 (2008), 196-210.
2007
Bollada P C and Phillips T N , On the effects of a compressible viscous lubricant on
the load-bearing capacity of a journal bearing. International Journal for Numerical Methods in
Fluids 55 (2007), 1091-1120.
Inkson N J and Phillips T N , Unphysical phenomena associated with the extended
pom-pom model in steady flow. Journal of Non-Newtonian Fluid Mechanics 145 (2007), 92-101.
Aguayo J P, Phillips P M, Phillips T N, Tamaddon-Jahromi H R, Snigerev B A and Webster M F, The numerical prediction of viscoelastic flows using the pom-pom model and high-order finite volume schemes. Journal of Computational Physics 220 (2007), 586-611.
Van Os R G M and Phillips T N, The choice of spectral element basis functions in domains with an axis of symmetry. Journal of Computational and Applied Mathematics 201 (2007), 217-229.
Reis T and Phillips T N, Lattice Boltzmann model for simulating immiscible two-phase flows. Journal of Physics A: Mathematical and Theoretical 40 (2007), 4033-4053.
Reis T and Phillips T N, A modified lattice Boltzmann model for axisymmetric flows. Physical Review E 75 (2007), 056703.
2006
Mavron V C and Phillips T N, Elements of Mathematics for Economics and Finance. October 2006. Springer-Verlag, London. 312+x pages.
Phillips T N and Smith K D, A spectral element approach to the simulation of viscoelastic flows using Brownian configuration fields. Journal of Non-Newtonian Fluid Mechanics 138 (2006), 98-110.
Gwynllyw D Rh and Phillips T N, On the enforcement of the zero mean pressure condition in the spectral element approximation of the Stokes problem. Computer Methods in Applied Mechanics and Engineering 195 (2006), 1027-1049.
Gwynllyw D Rh and Phillips T N, The effect of viscoelasticity on the performance of journal bearings. In: Proceedings of the IUTAM Symposium on Elastohydrodynamics and Microelastohydrodynamics, R. W. Snidle and H. P. Evans (Eds), Springer, 175-186. 2006.
Ervin V J and Phillips T N, Residual a posteriori error estimator for a three-field model of a generalized Stokes problem. Computer Methods in Applied Mechanics and Engineering 195 (2006), 2599-2610.
Binding D M, Phillips P M and Phillips T N, Contraction/expansion flows: the pressure drop and related issues. Journal of Non-Newtonian Fluid Mechanics 137 (2006), 31-38.
2005
Aboubacar M, Aguayo J P, Phillips P M, Phillips T N, Tammaddon-Jahromi H R, Snigerev B A and Webster M F, Modelling pom-pom type models with high-order finite volume schemes. Journal of Non-Newtonian Fluid Mechanics 126 (2005), 207-220
Gwynllyw D Rh and Phillips T N, Some issues regarding spectral element meshes for moving journal bearing systems. International Journal for Numerical Methods in Fluids 48 (2005), 423-454.
Palmer A S and Phillips T N, Linear stability analysis of plane Poiseuille flows of Phan-Thien Tanner liquids. Numerical Algorithms 38 (2005), 133-1547.
van Os R G M and Phillips T N, Efficient and stable spectral element methods for predicting the flow of an XPP fluid past a cylinder. Journal of Non-Newtonian Fluid Mechanics 129 (2005), 143-162.
Palmer A S and Phillips T N, Numerical approximation of the spectra of Poiseuille flow of two Phan-Thien Tanner liquids. In: Computational Fluid and Solid Mechanics 2005, K. J. Bathe (Ed.), Elsevier Science, 792-796, 2005.
2004
Aguayo J P, Phillips P M, Phillips T N, Snigerev B A, Tamaddon-Jahromi H R and Webster M F. The numerical prediction of viscoelastic flows using the pom-pom model and high-order finite volume schemes. Proceedings of the XIVth International Congress on Rheology, Seoul, Korea, August, 2004.
Aboubacar M, Phillips T N, Tammaddon-Jahromi H R, Snigerev B A and Webster M F, High-order finite volume methods for viscoelastic flow problems. Journal of Computational Physics 199 (2004), 16-40.
Momeni Masuleh S H and Phillips T N, Viscoelastic flow in an undulating tube using spectral methods. Computers and Fluids 33 (2004), 1075-1095.
van Os R G M and Phillips T N, The prediction of complex flows of polymer melts using spectral elements. Journal of Non-Newtonian Fluid Mechanics 122 (2004), 336-350.
van Os R G M and Phillips T N, Spectral element methods for transient viscoelastic flow problems. Journal of Computational Physics 201 (2004), 286-314.
2003
Owens R G, Chauvière C and Phillips T N, A locally-upwinded spectral technique (LUST) for viscoelastic flows, J of Non-Newtonian Fluid Mechanics 108, 49-71 (2003)
Phillips T N and Williams A J, Comparison of creeping and inertial flow of an Oldroyd B fluid through planar and axisymmetric contractions. Journal of Non-Newtonian Fluid Mechanics 108 (2003), 25-47.
2002
Aboubacar A, Phillips T N, Tammadon-Jahromi H T J, Webster M F and Williams A J, Numerical simulation of contraction flows of Boger fluids using finite volume methods. Proceedings of the 6th European Conference on Rheology, H. Münstedt, J. Kaschta and A. Merten (Eds.), Erlangen, Germany, 2002, pages 279-280.
Aboubacar M, Phillips T N, Snigerev B, Tammadon-Jahromi H T J and Webster M F, Transient start-up of plane Poiuseuille flow. Proceedings of the 6th European Conference on Rheology, H. Münstedt, J. Kaschta and A. Merten (Eds.), Erlangen, Germany, 2002, pages 289-290.
Escriva X, Leriche E and Phillips T N, Preconditioned Uzawa algorithm for the velocity-pressure-stress formulation of viscoelastic flow problems. Journal of Scientific Computing 17 (2002), 219-229.
Owens R G and Phillips T N, Computational Rheology. Imperial College Press, London, May 2002. 417+xiv pages.
Syed Mustapha S M F D and Phillips T N, Rheometer advisory system - embedding mixed-initiative approach into its teaching and learning strategy. Journal of Applied Systems Studies 3 (2002) No.1.
2001
Gerritsma M I and Phillips T N, On the use of characteristic variables in viscoelastic flow problems. IMA Journal of Applied Mathematics 66 (2001), 127-147.
Phillips T N and Williams A J, A semi-Lagrangian finite volume method for Newtonian contraction flows. SIAM Journal on Scientific Computing 22 (2001), 2152-2177.
Phillips T N and Williams A J, Conservative semi-Lagrangian finite volume schemes. Numerical Methods for Partial Differential Equations 17 (2001), 403-425.
Phillips T N and Williams A J, Semi-Lagrangian finite volume methods for viscoelastic planar and axisymmetric contraction flows. In: Proceedings of the ECCOMAS Computational Fluid Dynamics Conference, Swansea, 2001, 20 pages.
Research
External Funding Since 2000
Type-Dependent Computations for Viscoelastic Flows. EPSRC £179,104.
Masters Training Package in Complex Fluids: Modelling, Computation and Industrial Applications. EPSRC £424,542.
Direct Numerical Simulation of Droplet-Gas Systems for Power Generation Applications. EPSRC £74,597.
The Prediction and Validation of Contraction Flows of Complex Fluids. EPSRC £148,161 (with D. M. Binding).
Portfolio Partnership in Complex Fluids and Complex Flows. EPSRC £3.1M (with UW Swansea).
Modelling of Mantle Convection. Leverhulme Trust £108,726 (with J. H. Davies).
Major Conference Talks Since 2004
Numerical simulation of complex flows using pom-pom constitutive models, European Rheology Conference, Combloux, January 2004.
The computation of flows of complex fluids using the spectral element method. Invited plenary speaker at the 6th International Conference on Spectral and High-Order Methods, Brown University, USA, June 2004.
The numerical prediction of flows of viscoelastic fluids. Invited plenary speaker at the Second Brazilian Rheology Conference, Rio de Janeiro, Brazil, July 2004.
The effect of viscoelasticity on the performance of dynamically loaded journal bearings, IUTAM Symposium on Elastohydrodynamics, Cardiff, September 2004.
Lattice Boltzmann model for simulating immiscible two-phase flows. Annual European Rheology Conference, Crete, April 2006.
Numerical simulation of flow past a cylinder using models of XPP type. Annual European Rheology Conference, Crete, April 2006.
Grid and particle based methods for complex fluids. Dynamics of Complex Fluids - 10 Years On, Cambridge, October 2006.
Whence and whither computational rheology? Invited plenary speaker at the Conference on `Whither Rheology?', Lake Vyrnwy, Wales, April 2007.
Postgraduate Students
Graduated (Since 2000)
Alison Palmer - Linear stability analysis of plane Poiseuille flow of viscoelastic fluids. 2008.
Yu Zheng - Spectral element methods for the study of Newtonian and non-Newtonian droplet-gas systems. 2007.
Tim Reis - The lattice Boltzmann for complex flows. 2007.
Paul Phillips - Computational and experimental studies of viscoelastic flow through a contraction-expansion geometry. 2006.
Keith Smith - Spectral element simulation of viscoelastic flows using kinetic theory models. 2004.
Roel van Os - Spectral element methods for predicting the flow of polymer solutions and melts. 2004.
Sayed Momeni Masuleh - Spectral methods for the three field formulation of incompressible fluid flow. 2001.
Current
Susanne Claus - Computational Rheology
Ross Kynch - Sedimentation in Viscoelastic Fluids
Steven Lind - Growth and Collapse of Cavitation Bubbles in Viscoelastic Fluid.
Michael Marnell - Numerical Analysis and Computational PDEs
Chris Rowlatt - Non-Newtonian Fluid Mechanics
Giancarlo Russo - Spectral Elements Method for free surface and viscoelastic flows.
Luca Traverso - Groundwater Modelling: A deterministic and stochastic approach
Biography
BA – Mathematics, University of Oxford, 1979.
MSc – Mathematics (mathematical modelling and numerical analysis), University of Oxford, 1980.
DPhil – Mathematics, University of Oxford, 1983.
MA – University of Oxford, 1987.
DSc – University of Oxford, 2004.
Previous Positions
Oct. 1982 - Sept. 1984. Research Scientist, Institute for Computer Applications in Science and Engineering (ICASE), NASA Langley Research Center, Virginia, U.S.A.
Oct. 1984 - Sept. 1992. New Blood Lecturer in Computational Fluid Dynamics, Department of Applied Mathematics, University College of Wales, Aberystwyth.
Oct. 1992 - May 1996. Senior Lecturer, Department of Mathematics, University of Wales, Aberystwyth.
June 1996 - Feb. 2000. Reader, Department of Mathematics, University of Wales, Aberystwyth.
March 2000 - August 2004. Professor, Department of Mathematics, University of Wales, Aberystwyth.