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Hergibo, Philippe, Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 and Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 2024. Resolving subgrid-scale structures for multiphase flows using a filament moment-of-fluid method. Computers & Fluids 285 , 106455. 10.1016/j.compfluid.2024.106455
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Doherty, William, Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 and Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 2024. The log-conformation formulation for single- and multi-phase axisymmetric viscoelastic flows. Journal of Computational Physics 508 , 113014. 10.1016/j.jcp.2024.113014
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Gómez-López, A., Vargas, R. O., Mil-Martínez, A. and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2024. Multiscale simulations of viscoelastic fluids in complex geometries using a finitely extensible nonlinear elastic transient network model. Physics of Fluids 36 (4) , 043117. 10.1063/5.0203787
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Mackay, A.T. and Phillips, T.N. ORCID: https://orcid.org/0000-0001-6455-1205 2024. Computational modelling of compressible nonisothermal viscoelastic fluids. Computers and Fluids 272 , 106189. 10.1016/j.compfluid.2024.106189
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Hergibo, Philippe, Liang, Qiuhua, Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 and Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 2024. A quadtree-based adaptive moment-of-fluid method for interface reconstruction with filaments. Journal of Computational Physics 499 , 112719. 10.1016/j.jcp.2023.112719
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Mavron, Vassilis C. and Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 2023. Elements of mathematics for economics and finance. Springer. 10.1007/978-3-031-43910-0

O'Brien, E. N., Mahmud, M., Smith, W. R., Wang, Q. X. and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2023. The evolution of a three-dimensional microbubble at a corner in a Maxwell fluid. Physics of Fluids 35 (10) , 103120. 10.1063/5.0170820
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Hergibo, Philippe, Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 and Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 2023. A moment-of-fluid method for resolving filamentary structures using a symmetric multi-material approach. Journal of Computational Physics 491 , 112401. 10.1016/j.jcp.2023.112401
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Leonenko, G. ORCID: https://orcid.org/0000-0001-8025-661X and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2023. Transient numerical approximation of hyperbolic diffusions and beyond. Journal of Computational and Applied Mathematics 422 , 114893. 10.1016/j.cam.2022.114893
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Doherty, William, Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 and Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 2023. A stabilised finite element framework for viscoelastic multiphase flows using a conservative level-set method. Journal of Computational Physics 477 , 111936. 10.1016/j.jcp.2023.111936
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Vargas, René O, Gómez-López, Aldo, Escandón, Juan Pablo, Mil-Martı́nez, Rubén and Phillips, Timothy ORCID: https://orcid.org/0000-0001-6455-1205 2023. Multiscale modeling of complex fluids under SAOS and LAOS using a combined FENE transient network model. Physica Scripta 98 (2) , 025213. 10.1088/1402-4896/acb23b
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Fanelli, Claudia, Kaouri, Katerina ORCID: https://orcid.org/0000-0002-9850-253X, Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205, Myers, Timothy G. and Font, Francesc 2022. Magnetic nanodrug delivery in non-Newtonian blood flows. Microfluidics and Nanofluidics 26 (10) , 74. 10.1007/s10404-022-02576-6
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Mackay, A. T. and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2021. Compressible and nonisothermal viscoelastic flow between eccentrically rotating cylinders. Theoretical and Computational Fluid Dynamics 35 , pp. 735-756. 10.1007/s00162-021-00582-y
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Traverso, L. and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2020. Efficient stochastic finite element methods for flow in heterogeneous porous media. Part 2: random lognormal permeability. International Journal for Numerical Methods in Fluids 92 (11) , pp. 1626-1652. 10.1002/fld.4842
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Cracco, M., Davies, C. ORCID: https://orcid.org/0000-0002-5592-9541 and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2020. Linear stability of the flow of a second order fluid past a wedge. Physics of Fluids 32 , 084102. 10.1063/5.0018300
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MacKay, A. T. and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2019. On the derivation of macroscopic models for compressible viscoelastic fluids using the generalized bracket framework. Journal of Non-Newtonian Fluid Mechanics 266 , pp. 59-71. 10.1016/j.jnnfm.2019.02.006
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Phillips, T N ORCID: https://orcid.org/0000-0001-6455-1205, Oldham, D and Davies, J H ORCID: https://orcid.org/0000-0003-2656-0260 2019. Towards global SEM mantle convection simulations on Polyhedral-based grids. Journal of Computational and Applied Mathematics 348 , pp. 48-57. 10.1016/j.cam.2018.08.042
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Jafari, Azadeh, Chitsaz, Alizera, Nouri, Reza and Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 2018. Property preserving reformulation of constitutive laws for the conformation tensor. Theoretical and Computational Fluid Dynamics 32 , pp. 789-803. 10.1007/s00162-018-0476-y
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Croft, Thomas L. D. and Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 2017. Least-squares proper generalized decompositions for weakly coercive elliptic problems. SIAM Journal on Scientific Computing 39 (4) , A1366-A1388. 10.1137/15M1049269
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Kynch, Ross and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2017. A high resolution spectral element approximation of viscoelastic flows in axisymmetric geometries using a DEVSS-G/DG formulation. Journal of Non-Newtonian Fluid Mechanics 240 , pp. 15-33. 10.1016/j.jnnfm.2016.12.008
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Walters, M. J. and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2016. A non-singular boundary element method for modelling bubble dynamics in viscoelastic fluids. Journal of Non-Newtonian Fluid Mechanics 235 , pp. 109-124. 10.1016/j.jnnfm.2016.07.012
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Rowlatt, C. F. and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2016. A spectral element formulation of the immersed boundary method for Newtonian fluids. Computer Methods in Applied Mechanics and Engineering 298 , pp. 29-57. 10.1016/j.cma.2015.08.010
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Claus, Susanne ORCID: https://orcid.org/0000-0001-9014-5278, Cantwell, C. D. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2015. Spectral/hp element methods for plane Newtonian extrudate swell. Computers & Fluids 116 , pp. 105-117. 10.1016/j.compfluid.2015.04.002
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Leonenko, Ganna M. ORCID: https://orcid.org/0000-0001-8025-661X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2015. Numerical approximation of high-dimensional Fokker-Planck equations with polynomial coefficients. Journal of computational and applied mathematics 273 , pp. 296-312. 10.1016/j.cam.2014.05.024
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Traverso, L., Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Yang, Y. 2014. Efficient stochastic FEM for flow in heterogeneous porous media. Part 1: random Gaussian conductivity coefficients. International Journal for Numerical Methods in Fluids 74 (5) , pp. 359-385. 10.1002/fld.3854

Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Rowlatt, Christopher Frederick 2014. The extended spectral element method for the approximation of discontinuous functions. Siam Journal on Numerical Analysis
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Claus, Susanne ORCID: https://orcid.org/0000-0001-9014-5278 and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2013. Viscoelastic flow around a confined cylinder using spectral/hp element methods. Journal of Non-Newtonian Fluid Mechanics 200 , pp. 131-146. 10.1016/j.jnnfm.2013.03.004

Lind, Steven and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2013. Bubble collapse in compressible fluids using a spectral element marker particle method. Part 2. Viscoelastic fluids. International Journal for Numerical Methods in Fluids 71 (9) , pp. 1103-1130. 10.1002/fld.3701

Lind, Steven and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2013. The effect of viscoelasticity on the dynamics of gas bubbles near free surfaces. Physics of Fluids 25 (2) , 022104-022135. 10.1063/1.4790512

Traverso, L., Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Yang, Yuesuo 2013. Mixed finite element methods for groundwater flow in heterogeneous aquifers. Computers and Fluids 88 , pp. 60-80. 10.1016/j.compfluid.2013.08.018
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Lind, Steven and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2012. Bubble collapse in compressible fluids using a spectral element marker particle method. Part 1. Newtonian fluids. International Journal for Numerical Methods in Fluids 70 (9) , pp. 1167-1187. 10.1002/fld.2737

Lind, Steven and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2012. The effect of viscoelasticity on the dynamics of two gas bubbles near a rigid boundary. IMA Journal of Applied Mathematics 77 (5) , pp. 652-677. 10.1093/imamat/hxs041

Leonenko, Ganna M. ORCID: https://orcid.org/0000-0001-8025-661X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2012. High-order approximation of Pearson diffusion processes. Journal of Computational and Applied Mathematics 236 (11) , pp. 2853-2868. 10.1016/j.cam.2012.01.022

Oldham, David N., Davies, John Huw ORCID: https://orcid.org/0000-0003-2656-0260 and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2012. Generic polyhedron grid generation for solving partial differential equations on spherical surfaces. Computers & Geosciences 39 , pp. 11-17. 10.1016/j.cageo.2011.06.004

Bollada, Peter Charles and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2012. On the mathematical modelling of a compressible viscoelastic fluid. Archive for Rational Mechanics and Analysis 205 (1) , pp. 1-26. 10.1007/s00205-012-0496-5

Russo, Giancarlo and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2011. Spectral element predictions of die-swell for Oldroyd-B fluids. Computers & Fluids 43 (1) , pp. 107-118. 10.1016/j.compfluid.2010.09.028

Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Roberts, Gareth Wyn 2011. Lattice Boltzmann models for non-Newtonian flows. IMA Journal of Applied Mathematics 76 (5) , pp. 790-816. 10.1093/imamat/hxr003

Lind, Steven and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2011. The influence of viscoelasticity on the collapse of cavitation bubbles near a rigid boundary. Theoretical and Computational Fluid Dynamics 26 (1-4) , pp. 245-277. 10.1007/s00162-011-0227-9

Lozinski, Alexei, Owens, Robert G. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2011. The Langevin and Fokker-Planck equations in polymer rheology. Glowinski, R. and Xu, Jinchao, eds. Handbook of Numerical Analysis - Special volume: Numerical Methods for Non-Newtonian Fluids, Vol. 16. Amsterdam: Elsevier, pp. 211-303. (10.1016/B978-0-444-53047-9.00002-2)

Leonenko, Ganna M. ORCID: https://orcid.org/0000-0001-8025-661X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2011. The prediction of plane Couette flow for a FENE fluid using a reduced basis approximation of the Fokker-Planck equation. International Journal for Multiscale Computational Engineering 9 (1) , pp. 73-88. 10.1615/IntJMultCompEng.v9.i1.60

Russo, Giancarlo and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2010. Numerical prediction of extrudate swell of branched polymer melts. Rheologica Acta 49 (6) , pp. 657-676. 10.1007/s00397-009-0426-0

Lind, Steven and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2010. Spherical bubble collapse in viscoelastic fluids. Journal of non-Newtonian fluid mechanics 165 (1-2) , pp. 56-64. 10.1016/j.jnnfm.2009.09.002

Lind, Steven and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2010. The effect of viscoelasticity on a rising gas bubble. Journal of non-Newtonian fluid mechanics 165 (15-16) , pp. 852-865. 10.1016/j.jnnfm.2010.04.002

Russo, Giancarlo and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2010. Numerical simulation of steady planar die swell for a Newtonian fluid using the spectral element method. Computers & Fluids 39 (5) , pp. 780-792. 10.1016/j.compfluid.2009.12.006

Yokoi, Kensuke ORCID: https://orcid.org/0000-0001-7914-6050, Kay, Peter John, Bowen, Philip John ORCID: https://orcid.org/0000-0002-3644-6878 and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2010. Numerical Studies of Multiple Drop Impacts onto a Flat Substrate. Presented at: 23rd European Conference on Liquid Atomisation and Spray Systems (ILASS), Brno, Czech Republic,

Bollada, Peter Charles and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2009. A modified deformation field method for integral constitutive models. Journal of Non-Newtonian Fluid Mechanics 163 (1-3) , pp. 78-87. 10.1016/j.jnnfm.2009.07.001

Inkson, Nathanael, Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and van Os, R. G. M. 2009. Numerical simulation of flow past a cylinder using models of XPP type. Journal of non-Newtonian fluid mechanics 156 (1-2) , pp. 7-20. 10.1016/j.jnnfm.2008.06.004

Vargas, R. O., Manero, O. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2009. Viscoelastic flow past confined objects using a micro-macro approach. Rheologica Acta 48 (4) , pp. 373-395. 10.1007/s00397-008-0323-y

Bierbrauer, Frank, Bollada, Peter Charles and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2009. A consistent reflected image particle approach to the treatment of boundary conditions in smoothed particle hydrodynamics. Computer Methods in Applied Mechanics and Engineering 198 (41-44) , pp. 3400-3410. 10.1016/j.cma.2009.06.014

Leonenko, Ganna M. ORCID: https://orcid.org/0000-0001-8025-661X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2009. On the solution of the Fokker-Planck equation using a high-order reduced basis approximation. Computer Methods in Applied Mechanics and Engineering 199 (1-4) , pp. 158-168. 10.1016/j.cma.2009.09.028

Bierbrauer, F. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. Modelling spray impingement onto flat, rigid walls using an Eulerian-Lagrangian method. Proceedings of the 22nd European Confrerence on Liquid Atomisation and Spray Systems, Como, Italy, 2008 Paper ILASS08-030
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Bierbrauer, F. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. Secondary atomisation: simulation of droplet break-up in disturbed flow fields. Proceedings of the 22nd European Conference on Liquid Atomisation and Spray Systems, Como, Italy, 2008, Paper ILASS08-A029

Bollada, Peter Charles and Phillips, Timothy ORCID: https://orcid.org/0000-0001-6455-1205 2008. An anisothermal, compressible, piezoviscous model for journal-bearing lubrication. International Journal for Numerical Methods in Fluids 58 (1) , pp. 27-55. 10.1002/fld.1705

Gerritsma, Marc I. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. On the characteristics and compatibility equations for the UCM model fluid. Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM) 88 (7) , pp. 523-539. 10.1002/zamm.200700058

Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation. Physical Review -Series e- 77 (2) , 026702. 10.1103/PhysRevE.77.026702
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Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. Numerical validation of a consistent axisymmetric lattice Boltzmann model. Physical Review E 77 (2) , 026703. 10.1103/PhysRevE.77.026703
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Bierbrauer, Frank and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. The numerical prediction of droplet deformation and break-up using the Godunov marker-particle projection scheme. International Journal for Numerical Methods in Fluids 56 (8) , pp. 1155-1160. 10.1002/fld.1710

Gwynllyw, D. Rh. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. The influence of Oldroyd-B and PTT lubricants on moving journal bearing systems. Journal of Non-Newtonian Fluid Mechanics 150 (2-3) , pp. 196-210. 10.1016/j.jnnfm.2007.10.014

Leonenko, Ganna M. ORCID: https://orcid.org/0000-0001-8025-661X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. Reduced basis function method for solving the 2D Fokker-Planck equation. Presented at: SASOR 2008: 2nd Southern African Conference of Rheology, Cape Town, South Africa, 6-8 October 2008.

Bollada, Peter Charles and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. A physical decomposition of the stress tensor for complex flows. Rheologica Acta 47 (7) , pp. 719-725. 10.1007/s00397-007-0256-x

Bollada, Peter Charles and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2007. 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 (11) , pp. 1091-1120. 10.1002/fld.1545

Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2007. Modified lattice Boltzmann model for axisymmetric flows. Physical Review E 75 (5) , 056703. 10.1103/PhysRevE.75.056703
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van Os, R. G. M. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2007. The choice of spectral element basis functions in domains with an axis of symmetry. Journal of computational and applied mathematics 201 (1) , pp. 217-229. 10.1016/j.cam.2006.02.016

Aguayo, J. P., Phillips, P. M., Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205, Tamaddon-Jahromi, H. R., Snigerev, B. A. and Webster, M. F. 2007. The numerical prediction of planar viscoelastic contraction flows using the pom-pom model and higher-order finite volume schemes. Journal of Computational Physics 220 (2) , pp. 586-611. 10.1016/j.jcp.2006.05.039

Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2007. Lattice Boltzmann model for simulating immiscible two-phase flows. Journal of Physics A: Mathematical and Theoretical 40 (14) , 4033. 10.1088/1751-8113/40/14/018

Mavron, V. C. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2007. Elements of mathematics for economics and finance. London: Springer.

Inkson, Nathanael and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2007. Unphysical phenomena associated with the extended pom-pom model in steady flow. Journal of non-Newtonian fluid mechanics 145 (2-3) , pp. 92-101. 10.1016/j.jnnfm.2007.05.002

Binding, David M., Phillips, P. M. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2006. Contraction/expansion flows: the pressure drop and related issues. Journal of non-Newtonian fluid mechanics 137 (1-3) , pp. 31-38. 10.1016/j.jnnfm.2006.03.006

Ervin, Vincent J. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2006. Residual a posteriori error estimator for a three-field model of a generalized Stokes problem. Computer Methods in Applied Mechanics and Engineering 195 (19-22) , pp. 2599-2610. 10.1016/j.cma.2005.05.019

Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Rh, Gwynllyw D 2006. 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 (9-12) , pp. 1027-1049. 10.1016/j.cma.2005.04.004

Bowen, Philip John ORCID: https://orcid.org/0000-0002-3644-6878, Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Zheng, Y. 2006. Direct numerical simulation of non-Newtonian droplet deformation. Presented at: 10th International Conference on Liquid Atomization and Spray Systems (ICLASS-2006), Kyoto, Japan, 27 August - 1 September 2006.

van Os, R. G. M. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2005. Efficient and stable spectral element methods for predicting the flow of an XPP fluid past a cylinder. Journal of non-Newtonian fluid mechanics 129 (3) , pp. 143-162. 10.1016/j.jnnfm.2005.06.004

Gwynllyw, D. Rh. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2005. Some issues regarding spectral element meshes for moving journal bearing systems. International Journal for Numerical Methods in Fluids 48 (4) , pp. 423-454. 10.1002/fld.932

Van Os, R. G. M. and Phillips, Timothy ORCID: https://orcid.org/0000-0001-6455-1205 2004. Spectral element methods for transient viscoelastic flow problems. Journal of Computational Physics 201 (1) , pp. 286-314. 10.1016/j.jcp.2004.05.016

Aboubacar, M., Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205, Tamaddon-Jahromi, H. R., Snigerev, B. A. and Webster, M. F. 2004. High-order finite volume methods for viscoelastic flow problems. Journal of Computational Physics 199 (1) , pp. 16-40. 10.1016/j.jcp.2004.01.033

Momeni-Masuleh, S. H. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2004. Viscoelastic flow in an undulating tube using spectral methods. Computers & Fluids 33 (8) , pp. 1075-1095. 10.1016/j.compfluid.2003.09.002

van Os, R. G. M. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2004. The prediction of complex flows of polymer melts using spectral elements. Journal of non-Newtonian fluid mechanics 122 (1-3) , pp. 287-301. 10.1016/j.jnnfm.2003.12.009

Zheng, Y., Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Bowen, Philip John ORCID: https://orcid.org/0000-0002-3644-6878 2003. Development of DNS Spectral Element Methods for Study of Newtonian Droplet-Gas Systems. Presented at: 9th International Conference on Liquid Atomisation and Spray Systems (ICLASS), Sorrento, Italy,

Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Williams, A. J. 2002. Comparison of creeping and inertial flow of an Oldroyd B fluid through planar and axisymmetric contractions. Journal of non-Newtonian fluid mechanics 108 (1-3) , pp. 25-47. 10.1016/S0377-0257(02)00123-4

Owens, Robert G. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2002. Computational rheology. London: Imperial College Press.

Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Williams, A. J. 2001. Conservative semi-Lagrangian finite volume schemes. Numerical Methods for Partial Differential Equations 17 (4) , pp. 403-425. 10.1002/num.1019

Gerritsma, M. I. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2001. On the use of characteristic variables in viscoelastic flow problems. IMA Journal of Applied Mathematics 66 (2) , pp. 127-147. 10.1093/imamat/66.2.127

Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 and Williams, A. J. 2001. A semi-Lagrangian finite volume method for Newtonian contraction flows. SIAM Journal on Scientific Computing 22 (6) , pp. 2152-2177. 10.1137/S1064827599365288
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