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Number of items: 85.

Hergibo, Philippe, Phillips, Timothy N.

and Xie, Zhihua

2025. An adaptive dual grid moment-of-fluid method for multiphase flows. Journal of Computational Physics 530 , 113908. 10.1016/j.jcp.2025.113908

Hergibo, Philippe, Phillips, Timothy N.

and Xie, Zhihua

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

Barnes, H. A., Frigaard, I. A., McKinley, G. H., Phillips, T. N.

, Poole, R. J. and Tanner, R. I. 2024. Ken Walters: Reflections [Editorial]. Journal of Non-Newtonian Fluid Mechanics 331 , 105285. 10.1016/j.jnnfm.2024.105285

Doherty, William, Phillips, Timothy N.

and Xie, Zhihua

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

Gómez-López, A., Vargas, R. O., Mil-Martínez, A. and Phillips, T. N.

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

Mackay, A.T. and Phillips, T.N.

2024. Computational modelling of compressible nonisothermal viscoelastic fluids. Computers and Fluids 272 , 106189. 10.1016/j.compfluid.2024.106189

Hergibo, Philippe, Liang, Qiuhua, Phillips, Timothy N.

and Xie, Zhihua

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

Mavron, Vassilis C. and Phillips, Timothy N.

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.

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

Hergibo, Philippe, Phillips, Timothy N.

and Xie, Zhihua

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

Leonenko, G.

and Phillips, T. N.

2023. Transient numerical approximation of hyperbolic diffusions and beyond. Journal of Computational and Applied Mathematics 422 , 114893. 10.1016/j.cam.2022.114893

Doherty, William, Phillips, Timothy N.

and Xie, Zhihua

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

Vargas, René O, Gómez-López, Aldo, Escandón, Juan Pablo, Mil-Martı́nez, Rubén and Phillips, Timothy

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

Fanelli, Claudia, Kaouri, Katerina

, Phillips, Timothy N.

, 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

Mackay, A. T. and Phillips, T. N.

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

Traverso, L. and Phillips, T. N.

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

Cracco, M., Davies, C.

and Phillips, T. N.

2020. Linear stability of the flow of a second order fluid past a wedge. Physics of Fluids 32 , 084102. 10.1063/5.0018300

MacKay, A. T. and Phillips, T. N.

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

Phillips, T N

, Oldham, D and Davies, J H

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

Jafari, Azadeh, Chitsaz, Alizera, Nouri, Reza and Phillips, Timothy N.

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

Croft, Thomas L. D. and Phillips, Timothy N.

2017. Least-squares proper generalized decompositions for weakly coercive elliptic problems. SIAM Journal on Scientific Computing 39 (4) , A1366-A1388. 10.1137/15M1049269

Kynch, Ross and Phillips, Timothy Nigel

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

Walters, M. J. and Phillips, T. N.

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

Rowlatt, C. F. and Phillips, T. N.

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

Claus, Susanne

, Cantwell, C. D. and Phillips, Timothy Nigel

2015. Spectral/hp element methods for plane Newtonian extrudate swell. Computers & Fluids 116 , pp. 105-117. 10.1016/j.compfluid.2015.04.002

Leonenko, Ganna M.

and Phillips, Timothy Nigel

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

Traverso, L., Phillips, Timothy Nigel

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

and Rowlatt, Christopher Frederick 2014. The extended spectral element method for the approximation of discontinuous functions. Siam Journal on Numerical Analysis

Claus, Susanne

and Phillips, Timothy Nigel

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

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

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

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

Lind, Steven and Phillips, Timothy Nigel

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

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.

and Phillips, Timothy Nigel

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

and Phillips, Timothy Nigel

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

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

Lozinski, Alexei, Owens, Robert G. and Phillips, Timothy Nigel

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.

and Phillips, Timothy Nigel

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

Phillips, Timothy Nigel

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

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

Russo, Giancarlo and Phillips, Timothy Nigel

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

Russo, Giancarlo and Phillips, Timothy Nigel

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

, Kay, Peter John, Bowen, Philip John

and Phillips, Timothy Nigel

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,

Russo, Giancarlo and Phillips, Timothy Nigel

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

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

Lind, Steven and Phillips, Timothy Nigel

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

Bollada, Peter Charles and Phillips, Timothy Nigel

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

Bierbrauer, Frank, Bollada, Peter Charles and Phillips, Timothy Nigel

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

Inkson, Nathanael, Phillips, Timothy Nigel

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

2009. Viscoelastic flow past confined objects using a micro-macro approach. Rheologica Acta 48 (4) , pp. 373-395. 10.1007/s00397-008-0323-y

Leonenko, Ganna M.

and Phillips, Timothy Nigel

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

Bollada, Peter Charles and Phillips, Timothy

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

Bierbrauer, F. and Phillips, Timothy Nigel

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

Bierbrauer, F. and Phillips, Timothy Nigel

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

Gerritsma, Marc I. and Phillips, Timothy Nigel

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

and Phillips, Timothy Nigel

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

Reis, Timothy

and Phillips, Timothy Nigel

2008. Numerical validation of a consistent axisymmetric lattice Boltzmann model. Physical Review E 77 (2) , 026703. 10.1103/PhysRevE.77.026703

Bollada, Peter Charles and Phillips, Timothy Nigel

2008. A physical decomposition of the stress tensor for complex flows. Rheologica Acta 47 (7) , pp. 719-725. 10.1007/s00397-007-0256-x

Gwynllyw, D. Rh. and Phillips, Timothy Nigel

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

Bierbrauer, Frank and Phillips, Timothy Nigel

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

Leonenko, Ganna M.

and Phillips, Timothy Nigel

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

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

and Phillips, Timothy Nigel

2007. Modified lattice Boltzmann model for axisymmetric flows. Physical Review E 75 (5) , 056703. 10.1103/PhysRevE.75.056703

van Os, R. G. M. and Phillips, Timothy Nigel

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

, 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

and Phillips, Timothy Nigel

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

Inkson, Nathanael and Phillips, Timothy Nigel

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

Mavron, V. C. and Phillips, Timothy Nigel

2007. Elements of mathematics for economics and finance. London: Springer.

Binding, David M., Phillips, P. M. and Phillips, Timothy Nigel

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

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

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

, Phillips, Timothy Nigel

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

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

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

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

, 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

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

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

and Bowen, Philip John

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

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

2002. Computational rheology. London: Imperial College Press.

Phillips, Timothy Nigel

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

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

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

This list was generated on Tue Nov 4 10:35:26 2025 GMT.