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Yr Athro Timothy Phillips
(e/fe)
Cadeirydd mewn Mathemateg Gymhwysol
- PhillipsTN@caerdydd.ac.uk
- +44 29208 74194
- Abacws, Ystafell 5.04, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG
- Ar gael fel goruchwyliwr ôl-raddedig
Trosolwyg
Diddordebau ymchwil
Mae fy niddordebau ymchwil mewn mecaneg hylif nad yw'n Newtonaidd a dynameg hylifol cyfrifiadol ac mae'n cynnwys modelu mathemategol hylifau cymhleth a datblygu technegau cyfrifiadurol ar gyfer rhagweld llifoedd cymhleth. Mae fy ymchwil wedi cael ei ariannu gan y Cyngor Ymchwil Peirianneg a'r Gwyddorau Ffisegol ers 1985 ac rwyf hefyd wedi derbyn cyllid gan Ymddiriedolaeth Leverhulme, y Gymdeithas Frenhinol, yr UE a Diwydiant. Fy grant EPSRC sylweddol diweddaraf oedd Gwobr Partneriaeth Portffolio ym maes Hylifau Cymhleth a Llifau Cymhleth mewn cydweithrediad â'r Ysgol Peirianneg yn Abertawe. Roedd y wobr hon yn caniatáu i mi ddatblygu modelu mathemategol ac offer efelychu rhifiadol ar gyfer cymwysiadau gan gynnwys deinameg swigod iro a cavitation. Ar hyn o bryd rwy'n cymryd rhan yng Nghonsortiwm y DU ar Wyddorau Peirianneg Mesoscale (UKCOMES) a ariennir gan EPSRC.
Mae fy ngwaith diweddaraf wedi bod yn ymwneud â datblygu modelau mathemategol ar gyfer hylifau viscoelastig cywasgadwy. Mae hyn wedi gofyn am ddealltwriaeth o thermodynameg systemau cymhleth. Rwyf hefyd yn gweithio ar y dull ffin trochi ar gyfer problemau rhyngweithio strwythur hylif, dulliau rhifiadol ar gyfer llifoedd amlgam, cymwysiadau biofeddygol deinameg swigod, modelu llif dŵr daear gan ddefnyddio elfennau meidraidd stocastig, dadelfennu cyffredinol priodol ar gyfer systemau eliptig ac ystod o dechnegau rhifiadol ar gyfer datrys hafaliad Fokker-Planck. Mae gen i ddiddordeb arbennig mewn dulliau elfen sbectrol a'r dull dellt Boltzmann.
Grŵp ymchwil
Dyletswyddau gweinyddol
- Pennaeth Grŵp Ymchwil Mathemateg Gymhwysol a Chyfrifiannol
- Aelod o'r Pwyllgor Ymchwil Ysgol
- Cyd-gadeirydd Ysgol Athena SWAN Tîm Hunanasesu
Cyhoeddiad
2024
- Doherty, W., Phillips, T. N. and Xie, Z. 2024. The log-conformation formulation for single- and multi-phase axisymmetric viscoelastic flows. Journal of Computational Physics 508, article number: 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), article number: 43117. (10.1063/5.0203787)
- Mackay, A. and Phillips, T. 2024. Computational modelling of compressible nonisothermal viscoelastic fluids. Computers and Fluids 272, article number: 106189. (10.1016/j.compfluid.2024.106189)
- Hergibo, P., Liang, Q., Phillips, T. N. and Xie, Z. 2024. A quadtree-based adaptive moment-of-fluid method for interface reconstruction with filaments. Journal of Computational Physics 499, article number: 112719. (10.1016/j.jcp.2023.112719)
2023
- Mavron, V. C. and Phillips, T. 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), article number: 103120. (10.1063/5.0170820)
- Hergibo, P., Phillips, T. N. and Xie, Z. 2023. A moment-of-fluid method for resolving filamentary structures using a symmetric multi-material approach. Journal of Computational Physics 491, article number: 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, article number: 114893. (10.1016/j.cam.2022.114893)
- Doherty, W., Phillips, T. N. and Xie, Z. 2023. A stabilised finite element framework for viscoelastic multiphase flows using a conservative level-set method. Journal of Computational Physics 477, article number: 111936. (10.1016/j.jcp.2023.111936)
- Vargas, R. O., Gómez-López, A., Escandón, J. P., Mil-Martı́nez, R. and Phillips, T. 2023. Multiscale modeling of complex fluids under SAOS and LAOS using a combined FENE transient network model. Physica Scripta 98(2), article number: 25213. (10.1088/1402-4896/acb23b)
2022
- Fanelli, C., Kaouri, K., Phillips, T. N., Myers, T. G. and Font, F. 2022. Magnetic nanodrug delivery in non-Newtonian blood flows. Microfluidics and Nanofluidics 26(10), article number: 74. (10.1007/s10404-022-02576-6)
2021
- 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)
2020
- 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, article number: 84102. (10.1063/5.0018300)
2019
- 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)
2018
- Jafari, A., Chitsaz, A., Nouri, R. and Phillips, T. 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)
2017
- Croft, T. L. D. and Phillips, T. N. 2017. Least-squares proper generalized decompositions for weakly coercive elliptic problems. SIAM Journal on Scientific Computing 39(4), pp. A1366-A1388. (10.1137/15M1049269)
- Kynch, R. and Phillips, T. N. 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)
2016
- 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)
2015
- Claus, S., Cantwell, C. D. and Phillips, T. N. 2015. Spectral/hp element methods for plane Newtonian extrudate swell. Computers & Fluids 116, pp. 105-117. (10.1016/j.compfluid.2015.04.002)
- Leonenko, G. M. and Phillips, T. N. 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)
2014
- Traverso, L., Phillips, T. N. 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, T. N. and Rowlatt, C. F. 2014. The extended spectral element method for the approximation of discontinuous functions. Siam Journal on Numerical Analysis
2013
- Claus, S. and Phillips, T. N. 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, S. and Phillips, T. N. 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, S. and Phillips, T. N. 2013. The effect of viscoelasticity on the dynamics of gas bubbles near free surfaces. Physics of Fluids 25(2), pp. 022104-022135. (10.1063/1.4790512)
- Traverso, L., Phillips, T. N. and Yang, Y. 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)
2012
- Lind, S. and Phillips, T. N. 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, S. and Phillips, T. N. 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, G. M. and Phillips, T. N. 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, D. N., Davies, J. H. and Phillips, T. N. 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, P. C. and Phillips, T. N. 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)
2011
- Phillips, T. N. and Roberts, G. W. 2011. Lattice Boltzmann models for non-Newtonian flows. IMA Journal of Applied Mathematics 76(5), pp. 790-816. (10.1093/imamat/hxr003)
- Lind, S. and Phillips, T. N. 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, G. and Phillips, T. N. 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)
- Lozinski, A., Owens, R. G. and Phillips, T. N. 2011. The Langevin and Fokker-Planck equations in polymer rheology. In: Glowinski, R. and Xu, J. 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, G. M. and Phillips, T. N. 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)
2010
- Russo, G. and Phillips, T. N. 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)
- Lind, S. and Phillips, T. N. 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, S. and Phillips, T. N. 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)
- Russo, G. and Phillips, T. N. 2010. Numerical prediction of extrudate swell of branched polymer melts. Rheologica Acta 49(6), pp. 657-676. (10.1007/s00397-009-0426-0)
- Yokoi, K., Kay, P. J., Bowen, P. J. and Phillips, T. N. 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.
2009
- Bollada, P. C. and Phillips, T. N. 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)
- Leonenko, G. M. and Phillips, T. N. 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., Bollada, P. C. and Phillips, T. N. 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, N., Phillips, T. N. 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, T. N. 2009. Viscoelastic flow past confined objects using a micro-macro approach. Rheologica Acta 48(4), pp. 373-395. (10.1007/s00397-008-0323-y)
2008
- Bollada, P. C. and Phillips, T. 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, T. N. 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
- Bierbrauer, F. and Phillips, T. N. 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
- Gerritsma, M. I. and Phillips, T. N. 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, T. and Phillips, T. N. 2008. Numerical validation of a consistent axisymmetric lattice Boltzmann model. Physical Review E 77(2), article number: 26703. (10.1103/PhysRevE.77.026703)
- Reis, T. and Phillips, T. N. 2008. Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation. Physical Review -Series e- 77(2), article number: 26702. (10.1103/PhysRevE.77.026702)
- Bollada, P. C. and Phillips, T. N. 2008. A physical decomposition of the stress tensor for complex flows. Rheologica Acta 47(7), pp. 719-725. (10.1007/s00397-007-0256-x)
- Bierbrauer, F. and Phillips, T. N. 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. R. and Phillips, T. N. 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, G. M. and Phillips, T. N. 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.
2007
- Bollada, P. C. and Phillips, T. N. 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, T. and Phillips, T. N. 2007. Modified lattice Boltzmann model for axisymmetric flows. Physical Review E 75(5), article number: 56703. (10.1103/PhysRevE.75.056703)
- van Os, R. G. M. and Phillips, T. N. 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, T. N., 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)
- Inkson, N. and Phillips, T. N. 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)
- Reis, T. and Phillips, T. N. 2007. Lattice Boltzmann model for simulating immiscible two-phase flows. Journal of Physics A: Mathematical and Theoretical 40(14), article number: 4033. (10.1088/1751-8113/40/14/018)
- Mavron, V. C. and Phillips, T. N. 2007. Elements of mathematics for economics and finance. London: Springer.
2006
- Binding, D. M., Phillips, P. M. and Phillips, T. N. 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, V. J. and Phillips, T. N. 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, T. N. and Rh, G. 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, P. J., Phillips, T. N. 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.
2005
- van Os, R. G. M. and Phillips, T. N. 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. R. and Phillips, T. N. 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)
2004
- Van Os, R. G. M. and Phillips, T. 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)
- van Os, R. G. M. and Phillips, T. N. 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)
- Momeni-Masuleh, S. H. and Phillips, T. N. 2004. Viscoelastic flow in an undulating tube using spectral methods. Computers & Fluids 33(8), pp. 1075-1095. (10.1016/j.compfluid.2003.09.002)
- Aboubacar, M., Phillips, T. N., 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)
2003
- Zheng, Y., Phillips, T. N. and Bowen, P. J. 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.
2002
- Phillips, T. N. 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, R. G. and Phillips, T. N. 2002. Computational rheology. London: Imperial College Press.
2001
- Phillips, T. N. 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, T. N. 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, T. N. 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)
Articles
- Doherty, W., Phillips, T. N. and Xie, Z. 2024. The log-conformation formulation for single- and multi-phase axisymmetric viscoelastic flows. Journal of Computational Physics 508, article number: 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), article number: 43117. (10.1063/5.0203787)
- Mackay, A. and Phillips, T. 2024. Computational modelling of compressible nonisothermal viscoelastic fluids. Computers and Fluids 272, article number: 106189. (10.1016/j.compfluid.2024.106189)
- Hergibo, P., Liang, Q., Phillips, T. N. and Xie, Z. 2024. A quadtree-based adaptive moment-of-fluid method for interface reconstruction with filaments. Journal of Computational Physics 499, article number: 112719. (10.1016/j.jcp.2023.112719)
- 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), article number: 103120. (10.1063/5.0170820)
- Hergibo, P., Phillips, T. N. and Xie, Z. 2023. A moment-of-fluid method for resolving filamentary structures using a symmetric multi-material approach. Journal of Computational Physics 491, article number: 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, article number: 114893. (10.1016/j.cam.2022.114893)
- Doherty, W., Phillips, T. N. and Xie, Z. 2023. A stabilised finite element framework for viscoelastic multiphase flows using a conservative level-set method. Journal of Computational Physics 477, article number: 111936. (10.1016/j.jcp.2023.111936)
- Vargas, R. O., Gómez-López, A., Escandón, J. P., Mil-Martı́nez, R. and Phillips, T. 2023. Multiscale modeling of complex fluids under SAOS and LAOS using a combined FENE transient network model. Physica Scripta 98(2), article number: 25213. (10.1088/1402-4896/acb23b)
- Fanelli, C., Kaouri, K., Phillips, T. N., Myers, T. G. and Font, F. 2022. Magnetic nanodrug delivery in non-Newtonian blood flows. Microfluidics and Nanofluidics 26(10), article number: 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, article number: 84102. (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, A., Chitsaz, A., Nouri, R. and Phillips, T. 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, T. L. D. and Phillips, T. N. 2017. Least-squares proper generalized decompositions for weakly coercive elliptic problems. SIAM Journal on Scientific Computing 39(4), pp. A1366-A1388. (10.1137/15M1049269)
- Kynch, R. and Phillips, T. N. 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, S., Cantwell, C. D. and Phillips, T. N. 2015. Spectral/hp element methods for plane Newtonian extrudate swell. Computers & Fluids 116, pp. 105-117. (10.1016/j.compfluid.2015.04.002)
- Leonenko, G. M. and Phillips, T. N. 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, T. N. 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, T. N. and Rowlatt, C. F. 2014. The extended spectral element method for the approximation of discontinuous functions. Siam Journal on Numerical Analysis
- Claus, S. and Phillips, T. N. 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, S. and Phillips, T. N. 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, S. and Phillips, T. N. 2013. The effect of viscoelasticity on the dynamics of gas bubbles near free surfaces. Physics of Fluids 25(2), pp. 022104-022135. (10.1063/1.4790512)
- Traverso, L., Phillips, T. N. and Yang, Y. 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, S. and Phillips, T. N. 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, S. and Phillips, T. N. 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, G. M. and Phillips, T. N. 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, D. N., Davies, J. H. and Phillips, T. N. 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, P. C. and Phillips, T. N. 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)
- Phillips, T. N. and Roberts, G. W. 2011. Lattice Boltzmann models for non-Newtonian flows. IMA Journal of Applied Mathematics 76(5), pp. 790-816. (10.1093/imamat/hxr003)
- Lind, S. and Phillips, T. N. 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, G. and Phillips, T. N. 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)
- Leonenko, G. M. and Phillips, T. N. 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, G. and Phillips, T. N. 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)
- Lind, S. and Phillips, T. N. 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, S. and Phillips, T. N. 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)
- Russo, G. and Phillips, T. N. 2010. Numerical prediction of extrudate swell of branched polymer melts. Rheologica Acta 49(6), pp. 657-676. (10.1007/s00397-009-0426-0)
- Bollada, P. C. and Phillips, T. N. 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)
- Leonenko, G. M. and Phillips, T. N. 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., Bollada, P. C. and Phillips, T. N. 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, N., Phillips, T. N. 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, T. N. 2009. Viscoelastic flow past confined objects using a micro-macro approach. Rheologica Acta 48(4), pp. 373-395. (10.1007/s00397-008-0323-y)
- Bollada, P. C. and Phillips, T. 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, T. N. 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
- Bierbrauer, F. and Phillips, T. N. 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
- Gerritsma, M. I. and Phillips, T. N. 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, T. and Phillips, T. N. 2008. Numerical validation of a consistent axisymmetric lattice Boltzmann model. Physical Review E 77(2), article number: 26703. (10.1103/PhysRevE.77.026703)
- Reis, T. and Phillips, T. N. 2008. Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation. Physical Review -Series e- 77(2), article number: 26702. (10.1103/PhysRevE.77.026702)
- Bollada, P. C. and Phillips, T. N. 2008. A physical decomposition of the stress tensor for complex flows. Rheologica Acta 47(7), pp. 719-725. (10.1007/s00397-007-0256-x)
- Bierbrauer, F. and Phillips, T. N. 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. R. and Phillips, T. N. 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)
- Bollada, P. C. and Phillips, T. N. 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, T. and Phillips, T. N. 2007. Modified lattice Boltzmann model for axisymmetric flows. Physical Review E 75(5), article number: 56703. (10.1103/PhysRevE.75.056703)
- van Os, R. G. M. and Phillips, T. N. 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, T. N., 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)
- Inkson, N. and Phillips, T. N. 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)
- Reis, T. and Phillips, T. N. 2007. Lattice Boltzmann model for simulating immiscible two-phase flows. Journal of Physics A: Mathematical and Theoretical 40(14), article number: 4033. (10.1088/1751-8113/40/14/018)
- Binding, D. M., Phillips, P. M. and Phillips, T. N. 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, V. J. and Phillips, T. N. 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, T. N. and Rh, G. 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)
- van Os, R. G. M. and Phillips, T. N. 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. R. and Phillips, T. N. 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, T. 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)
- van Os, R. G. M. and Phillips, T. N. 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)
- Momeni-Masuleh, S. H. and Phillips, T. N. 2004. Viscoelastic flow in an undulating tube using spectral methods. Computers & Fluids 33(8), pp. 1075-1095. (10.1016/j.compfluid.2003.09.002)
- Aboubacar, M., Phillips, T. N., 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)
- Phillips, T. N. 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)
- Phillips, T. N. 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, T. N. 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, T. N. 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)
Book sections
- Lozinski, A., Owens, R. G. and Phillips, T. N. 2011. The Langevin and Fokker-Planck equations in polymer rheology. In: Glowinski, R. and Xu, J. 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)
Books
- Mavron, V. C. and Phillips, T. N. 2023. Elements of mathematics for economics and finance. Springer. (10.1007/978-3-031-43910-0)
- Mavron, V. C. and Phillips, T. N. 2007. Elements of mathematics for economics and finance. London: Springer.
- Owens, R. G. and Phillips, T. N. 2002. Computational rheology. London: Imperial College Press.
Conferences
- Yokoi, K., Kay, P. J., Bowen, P. J. and Phillips, T. N. 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.
- Leonenko, G. M. and Phillips, T. N. 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.
- Bowen, P. J., Phillips, T. N. 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.
- Zheng, Y., Phillips, T. N. and Bowen, P. J. 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.
- Lind, S. and Phillips, T. N. 2013. The effect of viscoelasticity on the dynamics of gas bubbles near free surfaces. Physics of Fluids 25(2), pp. 022104-022135. (10.1063/1.4790512)
- Bollada, P. C. and Phillips, T. N. 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)
- Gerritsma, M. I. and Phillips, T. N. 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, T. and Phillips, T. N. 2008. Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation. Physical Review -Series e- 77(2), article number: 26702. (10.1103/PhysRevE.77.026702)
Ymchwil
Cyllid allanol ers 2000
- Cyfrifiannau math dibynnol ar gyfer llifoedd Viscoelastic. EPSRC £179,104.
- Pecyn Hyfforddiant Meistr mewn Hylifau Cymhleth: Modelu, Cyfrifiant a Chymwysiadau Diwydiannol. EPSRC £424,542.
- Efelychiad rhifiadol uniongyrchol o systemau droplet-nwy ar gyfer cymwysiadau cynhyrchu pŵer. EPSRC £74,597.
- Rhagfynegiad a dilysu llif crebachu hylifau cymhleth. EPSRC £148,161 (gyda D. M. Rhwymo).
- Partneriaeth Portffolio mewn Hylifau Cymhleth a Llifoedd Cymhleth. EPSRC £3.1M (gyda UW Abertawe).
- Modelu Mantle Convection. Ymddiriedolaeth Leverhulme £108,726 (gyda J. H. Davies).
- UK Consortium on Mesoscale Engineering Sciences (UKCOMES). EPSRC £397,424.
Sgyrsiau cynhadledd fawr ers 2013
- Modelu dynameg swigod nwy ger arwynebau rhad ac am ddim. Darlith Gwobr Flynyddol BSR. Datblygiadau mewn Mecaneg Hylif nad yw'n Newtonian, Canolfan Gynadledda Ryngwladol y Gymdeithas Frenhinol, Neuadd Chicheley, Mawrth 2013.
- Algorithm dadelfennu cyffredinol cywir ar gyfer problem Stokes, Ail Weithdy Rhyngwladol ar "Reduced Basis, POD a TD model Lleihau Technegau", Blois, Ffrainc, Tachwedd 2013.
- Dull elfen ffin nad yw'n unigol ar gyfer modelu deinameg swigod cavitation, Cynhadledd INNFM ar Rheoleg Hylifau Strwythuredig, Rhuthun, Cymru, Mawrth 2015.
- Y dull ffin trochi ar gyfer problemau rhyngweithio strwythur hylif (FSI) gyda hylif Oldroyd-B. Cynhadledd Rheoleg Ewropeaidd Flynyddol, Nantes, Ffrainc, Ebrill 2015.
- Y dull ffin trochi ar gyfer problemau rhyngweithio strwythur hylif (FSI) gyda hylif Oldroyd-B. XVIIfed Gyngres Ryngwladol ar Rheoleg, Kyoto, Japan, Awst 2016.
-
Mae'r dull elfen sbectrol estynedig ar gyfer brasamcanu swyddogaethau anghydffurfiol a phroblemau rhyngweithio strwythur hylif. 20th IMACS Cyngres y Byd, Xiamen, Tsieina, Rhagfyr 2016.
- Dull gosod lefel geidwadol ar gyfer llifoedd viscoelastig aml-gam. Cynhadledd Rheoleg Ewropeaidd Flynyddol, Leeds, y DU, Ebrill 2024.
Cynadleddau wedi'u trefnu
- Cynhadledd INNFM / BSR ar Llif Cymhleth o Hylifau Cymhleth, Lerpwl, Mawrth 2008.
- Cynhadledd Rheoleg Ewropeaidd Flynyddol, Caerdydd, Ebrill 2009.
- Datblygiadau mewn Mecaneg Hylif nad yw'n Newtonian, Canolfan Ryngwladol Cymdeithas Frenhinol Kavli, Neuadd Chicheley, Mawrth 2013.
- Colocwiwm Mathemateg Gymhwysol Prydain, Caerdydd, Ebrill 2014.
Cyfrifoldebau proffesiynol
- Llywydd, Cymdeithas Rheoleg Prydain, 2017-19
- Aelod o'r Cyngor, Cymdeithas Rheoleg Prydain.
- Aelod o'r Bwrdd Golygyddol. Mecaneg Hylif Damcaniaethol a Chyfrifiannol, 2012-
- Aelod o'r Bwrdd Golygyddol. Journal of Non-Newtonian Fluid Mechanics, 2017-
- Arholwr allanol ar gyfer y cynlluniau gradd israddedig mewn Mathemateg ym Mhrifysgol Reading, 2016-.
- Aelod, Coleg yr EPSRC, 2000-
- Cadeirydd, Pwyllgor Rhaglen MAGIC, 2017-
- Aelod o'r Cyngor, Cymdeithas Ddysgedig Cymru, 2017-2020
Addysgu
Undergraduate
- MA4003 Theoretical Fluid Dynamics
- MA3304 Methods of Applied Mathematics
Postgraduate
- MAGIC066 Numerical Analysis
Bywgraffiad
Bywgraffiad
- BA - Mathemateg, Prifysgol Rhydychen, 1979.
- MSc - Mathemateg (modelu mathemategol a dadansoddi rhifiadol), Prifysgol Rhydychen, 1980.
- DPhil – Mathemateg, Prifysgol Rhydychen, 1983.
- MA – Prifysgol Rhydychen, 1987.
- DSc - Prifysgol Rhydychen, 2004.
Ar ôl graddio o Brifysgol Rhydychen, cefais fy mhenodi i gymrodoriaeth ymchwil yn ICASE (NASA Langley, UDA), cyn dechrau swydd academaidd yn Aberystwyth yn 1984. Cefais fy mhenodi i Gymrodoriaeth Athrawon ym Mhrifysgol Caerdydd yn 2004. Rwyf wedi dal athrawon gwadd ym Mhrifysgol Delaware (Peirianneg Gemegol) a'r Ecole Polytechnique Fédérale de Lausanne (Peirianneg Fecanyddol).
Rwyf wedi cyhoeddi dros 100 o bapurau mewn cyfnodolion rhyngwladol a dros 30 o bapurau mewn trafodion cynhadledd a adolygir gan gymheiriaid. Cyd-awdur un o'r monograffau ymchwil mwyaf blaenllaw yn fy maes - Rheoleg Gyfrifiadol - a gyhoeddwyd gan Imperial College Press yn 2002. Rwyf hefyd wedi cyhoeddi testun israddedig – Elfennau Mathemateg ar gyfer Economeg a Chyllid - a gyhoeddwyd gan Springer yn 2007. Cyhoeddwyd ail argraffiad o'r llyfr hwn ym mis Tachwedd 2023. Mae gen i brofiad sylweddol o oruchwylio ymchwilwyr ifanc (15 PDRAs a 28 o fyfyrwyr PhD).
Anrhydeddau a dyfarniadau
- DSc University of Oxford, 2004
- Fellow, Learned Society of Wales, Elected 2012
- Annual Award, British Society of Rheology, 2012
- Fellow, Institute of Mathematics and its Applications, Elected 201
Aelodaethau proffesiynol
- Cymrawd y Sefydliad Mathemateg a'i Chymwysiadau (IMA)
- Cymrawd Cymdeithas Ddysgedig Cymru
- Aelod o'r Gymdeithas Mathemateg Ddiwydiannol a Chymhwysol (SIAM)
- Aelod o Gymdeithas Rheoleg Prydain
Safleoedd academaidd blaenorol
- 2004 - presennol: Athro, Ysgol Mathemateg, Prifysgol Caerdydd
- 2000 - 2004: Athro, Adran Mathemateg, Prifysgol Cymru, Aberystwyth
- 1996 - 2000: Darllenydd, Adran Mathemateg, Prifysgol Cymru, Aberystwyth
- 1992 - 1996: Uwch Ddarlithydd, Adran Mathemateg, Prifysgol Cymru, Aberystwyth
- 1984 - 1992: Darlithydd Gwaed Newydd mewn Dynameg Hylif Cyfrifiadurol, Adran Mathemateg Gymhwysol, Coleg Prifysgol Cymru, Aberystwyth
- 1982 - 1984: Gwyddonydd Ymchwil, Sefydliad Cymwysiadau Cyfrifiadurol mewn Gwyddoniaeth a Pheirianneg (ICASE), NASA Langley Research Center, Virginia, UDA
Pwyllgorau ac adolygu
Pwyllgorau allanol
- Cadeirydd Pwyllgor Rhaglen MAGIC
- Aelod o'r Pwyllgor Rheoli HUD
- Aelod o Bwyllgor Llywio Academaidd MAGIC
- Aelod o'r Cyngor, y Sefydliad Mathemateg a'i Chymwysiadau, Mehefin 2022 -
- Arholwr allanol ar gyfer rhaglenni gradd israddedig ym Mhrifysgol Lincoln, 2023 - 2027.
- Aelod o Fwrdd Grantiau Ymchwil y Gymdeithas Frenhinol: Gwyddorau Ffisegol, Ionawr 2024 - Rhagfyr 2026.
Mae MAGIC yn un o 6 Canolfan Cwrs a Addysgir gan EPSRC (TCC). Mae'r grŵp MAGIC yn cynnal ystod eang o ddarlithoedd ar lefel ôl-raddedig mewn mathemateg:
http://maths-magic.ac.uk/index.php
Bwrdd Golygyddol, Ddamcaniaethol a Chyfrifiannol Fluid Dynamics
Bwrdd Golygyddol, Journal of Non-Newtonian Fluid Mechanics
Meysydd goruchwyliaeth
I am interested in supervising PhD students in the areas of:
- numerical methods for non-Newtonian flows
- dynamics of cavitation bubbles
- extended spectral element method
- immersed boundary method
- lattice Boltzmann method
Goruchwyliaeth gyfredol
Layla Sadeghi Namaghi
Myfyriwr ymchwil
Ahlam Alghamdi
Myfyriwr ymchwil
Prosiectau'r gorffennol
-
Susanne Claus Efelychiad rhifiadol o Lifoedd Viscoelastic cymhleth gan ddefnyddio dulliau elfen sbectrol / hp afreolaidd afreolaidd. 2013.
-
Ross Kynch. Ymchwiliad rhifiadol o waddodiad mewn hylifau Viscoelastic gan ddefnyddio dulliau elfen sbectrwm. 2013.
-
Chris Rowlatt Modelu Llifoedd Hylifau Cymhleth gan ddefnyddio'r Dull Ffin Trochol. 2014.
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Mike Walters. Ymchwiliad i effeithiau Viscoelasticity ar ddeinameg swigen Cavitation gyda cheisiadau i fiofeddygaeth. 2015.
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Tom Croft Dadelfennu Cyffredinol Priodol: Theori a Chymwysiadau. 2015.
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Edward Lewis. Modelau Boltzmann Lattice ar gyfer hylifau cymhleth. 2017.
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Alex Mackay. Nonisothermal cywasgadwy Viscoelastic modelling. 2018.
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Ahmed Alshehri Dulliau elfen sbectrol effeithlon ar gyfer hafaliadau differol rhannol eliptig. 2020.
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Martina Cracco. Sefydlogrwydd llinol ac ymddygiad dros dro hylifau Viscoelastic mewn haenau ffin. 2020.
Themâu ymchwil
Arbenigeddau
- Mathemateg rhifiadol a chyfrifol
- Hylif nad yw'n Newtonaidd yn llifo
- Dynameg hylif cyfrifiadurol
