Dr Timothy Reis BSc (Hons), MSc, PhD, PGCAP

Senior Lecturer

Key details

Dr Timothy Reis
BSc (Hons), MSc, PhD, PGCAP

Senior Lecturer


Dr Reis obtained his BSc in Mathematics and MSc with Distinction in the Mathematical Theory of Complex Fluids from the University of Wales Aberystwyth. He was awarded his PhD in 2007 from Cardiff University's School of Mathematics and his doctoral work  on "The Lattice Boltzmann Equation for Complex Flows" won the Vernon Harrison Prize from the British Society of Rheology for the most distinguished thesis. After postdoctoral research at UCL ("Instabilities in Polymer Processing") and the University of Oxford ("Multiphase Lattice Boltzmann Models") he held the position of Junior Research Fellow at the Oxford Centre for Collaborative Applied Mathematics, University of Oxford. His first faculty position was as a lecturer in Applied Mathematics at Plymouth University and in September 2016 he joined the Department of Mathematical Sciences at the University of Greenwich. Find out more here https://timreis.org/.

Dr Reis's primary research interests combine fluid mechanics, mathematical modelling, and numerical analysis. He is particularly interested in the theory of the lattice Boltzmann method and its application to rheology, microfluidics and multiphase flow problems. He is an associate editor of the International Journal of Computer Mathematics and has been a guest editor of several other international journals.   

Dr Reis is a fellow of the Institute of Mathematics and its Applications (IMA) and of the Higher Education Academy (HEA).

Responsibilities within the university

Module Leader 2018/19 

  • Research Methods and Mathematics Projects
  • Partial Differential Equations
  • Operational Research for Industry
  • Mathematics Foundation Projects

Awards

Vernon Harrison Annual Doctoral Prize of the British Society of Rheology (2007)

Plymouth University Faculty of Science and Engineering award for Most Innovative use of Teaching Methods (2016)

Recognition

Fellow of the Institute of Mathematics and its Applications (IMA)

Fellow of the Higher Education Academy (HEA)

Member of the UK Consortium on Mesoscopic Engineering Science (UKCOMES)

Reviewer for Mathematical Reviews (MathSciNet)

Associate Editor of the International journal of Computer Mathematics

Research / Scholarly interests

Lattice Boltzmann Models, Fluid Mechanics, Computational Fluid Dynamics, Rheology

Recent publications

Article

Krastins, Ivars , Kao, Andrew, Pericleous, Koulis, Reis, Timothy (2020), Moment-based boundary conditions for straight on-grid boundaries in three dimensional lattice Boltzmann simulations, Wiley. In: , , , . Wiley, International Journal for Numerical Methods in Fluids ISSN: 0271-2091 (Print), 1097-0363 (Online) (doi: https://doi.org/10.1002/fld.4856) Inpress.

Reis, T. and , (2020), On the lattice Boltzmann deviatoric stress: analysis, boundary conditions, and optimal relaxation times, Society for Industrial and Applied Mathematics. In: , , , . Society for Industrial and Applied Mathematics, SIAM Journal on Scientific Computing pp. B397-B424 ISSN: 1064-8275 (Print), 1095-7197 (Online) (doi: https://doi.org/10.1137/19M1244846) Published.

Mohammed, S. , Graham, D. I., Reis, T. (2020), Modelling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method, AIP Publishing. In: , , , . AIP Publishing, Physics of Fluids ISSN: 1070-6631 (Print), 1089-7666 (Online) (doi: https://doi.org/10.1063/1.5131865) Published.

Reis, Timothy and , (2019), Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method, Global Science Press. In: , , , . Global Science Press, Communications in Computational Physics pp. 167-197 ISSN: 1815-2406 (Print), 1991-7120 (Online) (doi: https://doi.org/10.4208/cicp.OA-2018-0229) Published NB Item availability restricted.

Reis, T. and , (2018), A conservative interface sharpening Lattice Boltzmann Model, Society for Industrial and Applied Mathematics. In: , , , . Society for Industrial and Applied Mathematics, SIAM Journal on Scientific Computing pp. B1495-B1516 ISSN: 1064-8275 (Print), 1095-7197 (Online) (doi: https://doi.org/10.1137/18M1184928) Published.

Mohammed, Seemaa , Graham, David, Reis, Timothy (2018), Assessing moment-based boundary conditions for the lattice Boltzmann equation: A study of dipole-wall collisions, Elsevier. In: , , , . Elsevier, Computers and Fluids pp. 79-96 ISSN: 0045-7930 (Print), 1879-0747 (Online) (doi: https://doi.org/10.1016/j.compfluid.2018.08.025) Published.

Reis, T. and , Wilson, H. J. (2013), Rolie-Poly fluid flowing through constrictions: Two distinct instabilities, Elsevier. In: , , , . Elsevier, Journal of Non-Newtonian Fluid Mechanics pp. 77-87 ISSN: 0377-0257 (Print), 1873-2631 (Online) (doi: https://doi.org/10.1016/j.jnnfm.2013.01.002) Published.

Reis, Tim and , Dellar, Paul J. (2012), Lattice Boltzmann simulations of pressure-driven flows in microchannels using Navier-Maxwell slip boundary conditions, AIP Publishing. In: , , , . AIP Publishing, Physics of Fluids ISSN: 1070-6631 (Print), 1089-7666 (Online) (doi: https://doi.org/10.1063/1.4764514) Published.

Reis, T. and , Dellar, P. J. (2010), A volume-preserving sharpening approach for the propagation of sharp phase boundaries in multiphase lattice Boltzmann simulations, Elsevier. In: , , , . Elsevier, Computers and Fluids pp. 417-421 ISSN: 0045-7930 (Print), 1879-0747 (Online) (doi: https://doi.org/10.1016/j.compfluid.2010.12.005) Published.

Reis, T. and , Phillips, T. N. (2008), Reply to "comment on 'Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation'", American Physical Society. In: , , , . American Physical Society, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ISSN: 1539-3755 (Print), 1550-2376 (Online) (doi: https://doi.org/10.1103/PhysRevE.78.068702) Published.

Reis, T. and , Phillips, T. N. (2008), Numerical validation of a consistent axisymmetric lattice Boltzmann model, American Physical Society. In: , , , . American Physical Society, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ISSN: 1539-3755 (Print), 1550-2376 (Online) (doi: https://doi.org/10.1103/PhysRevE.77.026703) Published.

Reis, Timothy and , Phillips, Timothy (2008), Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation, American Physical Society. In: , , , . American Physical Society, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ISSN: 1539-3755 (Print), 1550-2376 (Online) (doi: https://doi.org/10.1103/PhysRevE.77.026702) Published.

Reis, T. and , Phillips, T. N. (2007), Erratum: Modified lattice Boltzmann model for axisymmetric flows, American Physical Society. In: , , , . American Physical Society, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ISSN: 1539-3755 (Print), 1550-2376 (Online) (doi: https://doi.org/10.1103/PhysRevE.76.059902) Published.

Reis, T. and , Phillips, T. N. (2007), Modified lattice Boltzmann model for axisymmetric flows, American Physical Society. In: , , , . American Physical Society, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ISSN: 1539-3755 (Print), 1550-2376 (Online) (doi: https://doi.org/10.1103/PhysRevE.75.056703) Published.

Reis, T. and , Phillips, T. N. (2007), Lattice Boltzmann model for simulating immiscible two-phase flows, IOP Publishing. In: , , , . IOP Publishing, Journal of Physics A: Mathematical and Theoretical ISSN: 1751-8113 (Print), 1751-8121 (Online) (doi: https://doi.org/10.1088/1751-8113/40/14/018) Published.

Book

James, Glyn , Dyke, Phil, Craven, Matthew, Reis, Timothy , Stander, Julian (2018), Advanced Modern Engineering Mathematics, Pearson Education. In: , , In: Glyn James, Phil Dyke (eds.), . Pearson Education, Harlow, UK (5th) ISBN: 9781292174341 (doi: ) Published.

Conference proceedings

Bu Sinnah, Zainab A. , Graham, David I., Reis, Timothy (2018), Lattice Boltzmann modelling of pulsatile flow using moment boundary condiitons, ECCOMAS. In: , , , 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7. ECCOMAS, Glasgow (doi: ) Published NB Item availability restricted.

Langfeld, Kurt , Graham, David I., Greaves, Deborah M., Mehmood, Arshad , Reis, Tim (2016), The virtual source approach to non-linear potential flow simulations, ISOPE. In: , , , The Proceedings of The Twenty-sixth (2016) International OCEAN AND POLAR ENGINEERING CONFERENC. ISOPE, California, USA Proceedings of the International Offshore and Polar Engineering Conference pp. 242-249 ISBN: 9781880653883ISSN: 1098-6189 (Print), (doi: http://legacy.isope.org/publications/proceedings/ISOPE/ISOPE%202016/index.htm) Published.

Allen, Rebecca , Reis, Tim, Sun, Shuyu (2013), A new lattice Boltzmann equation to simulate density-driven convection of carbon dioxide, Society of Petroleum Engineers. In: , , , Society of Petroleum Engineers - SPE Reservoir Simulation Symposium 201. Society of Petroleum Engineers, Society of Petroleum Engineers - SPE Reservoir Simulation Symposium 2013 ISBN: 9781613992333 (doi: https://doi.org/10.2118/163658-MS) Published.