Publications

Associate Editor of the International Journal of Computer Mathematics

Special ICMMES2015 edition of Computers and Fluids published in September 2017
(Guest editors: L-S. Luo, T.Reis, C. Lee, T. Liu, B. Tian, and M. Krafczyk)

New book: Advanced Modern Engineering Mathematics (5th edition), edited by Glyn James and Phil Dyke, with Matthew Craven, Tim Reis, and Julian Stander

Journal Publications

1. T.Reis, A lattice Boltzmann formulation of the one-fluid model for multiphase flow, J. Comp. Phys, (2022), 453, 110962
2. S. Mohammed and T.Reis, A Lattice Boltzmann method with moment-based boundary conditions for rarefied flow in the slip regime, Phys. Rev. E (2021),104,045309
3. I. Krastins, A. Kao, K. Pericleous, and T.Reis, Moment-based boundary conditions for straight on-grid boundaries in three dimensional lattice Boltzmann simulations, Int. J. Num. Meth. Fluids, 92 (2020), 1948-1974
4. T. Reis, On the Lattice Boltzmann Deviatoric Stress: Analysis, Boundary Conditions, and Optimal Relaxation Times, SIAM Sci. Comput, 42(2) (2020), B397–B424
5. S. Mohammed, D. Graham, and T. Reis, Modelling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method, Phys Fluids, 32 (2020), 025104
6. T. Reis, Burnett-order stress and spatially-dependent boundary conditions for the lattice Boltzmann method.  Commun. Comput.  Phys, 27 (2020), 167-197 
7. T. Reis, A conservative interface sharpening lattice Boltzmann model. SIAM Sci Comput, 40(6) (2018),B1495–B1516
8. S. Mohammed, D. Graham, and T. Reis, Assessing moment-based boundary conditions for the lattice Boltzmann equation: A study of dipole-wall collisions, Comput. Fluids, 176 (2018),79-96
9. Z. Bu Sinnah, D.I. Graham, and T. Reis, Lattice Boltzmann modelling of pulsatile flow using moment boundary conditions, Proceedings of the  6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7), June 2018
10. S. Mohammed and T. Reis, Using the lid-driven cavity flow to validate moment-based boundary conditions for the lattice Boltzmann equation, Arch. Mech. Eng., 64 (2017), 57-74
11. C. Pang, R. Alcock, N. Pilkington, T. Reis, and C. Roobottom, Determining the haemodynamic significance of arterial stenosis: the relationship between CT angiography, computational fluid dynamics, and non-invasive fractional flow reserve, Clinical Radiology, 71 (2016), 750–757
12. R. D. Allen and T. Reis, Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities, Prog. Comp. Fluid Dyn.: An Int. J., 16 (2016), 219–231
13. A. Hantsch, T. Reis, and U. Gross, Moment method boundary conditions for multiphase lattice Boltzmann simulations with partially-wetted walls, J.Comp. Multiphase Flow, 7 (2015), 1–4
14. T. Reis and H.J. Wilson, Rolie–Poly fluid flowing through constrictions: Two distinct instabilities, J. Non–Newt. Fluid Mech., 195 (2013), 77-87
15. T. Reis and P.J. Dellar, Lattice Boltzmann simulations of pressure-driven flows in microchannels using Navier–Maxwell slip boundary conditions, Phys. Fluids, 24 (2012), 112001
16. T. Reis and P.J. Dellar, A volume-preserving sharpening approach for the propagation of sharp phase boundaries in multiphase lattice Boltzmann simulations, Computers and Fluids, 46 (2011), 417-421
17. T. Reis and T.N. Phillips, An alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation, Phys. Rev. E, 77 (2008), 026702
18. T. Reis and T.N. Phillips, Reply to a comment on An alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation, Phys. Rev. E, 78 (2008), 068702
19. T. Reis and T.N. Phillips, Numerical validation of a consistent axisymmetric lattice Boltzmann model, Phys. Rev. E, 77 (2008), 026703
20. T. Reis and T.N. Phillips, Modified lattice Boltzmann model for axisymmetric flows , Phys. Rev. E, 75 (2007), 056703. ERRATUM
21. T. Reis and T.N. Phillips, Lattice Boltzmann model for simulating immiscible two-phase flows, J. Phys. A: Math. Theor, 40 (2007) 4033-4053

Conference Proceedings (and others)

1. K. Langfeld, D.I. Graham, D. M. Greeves, A. Mehmod and T. Reis, The virtual source approach to non-linear potential flow simulations, Proceedings of the International Offshore and Polar Engineering (ISOPE) Conference, 2016
2. R. Allen, S. Sun and T. Reis, A Lattice Boltzmann Equation to Simulate Density-Driven Convection of Carbon Dioxide, Proceedings of the Society for Petroleum Engineering (SPE) Reservoir Simulation Symposium, 2013
3. T. Reis,  A multiphase lattice Boltzmann model with sharp interfaces, Poster presented at DSFD 2011
4. T. Reis,  Pinning and facetting in lattice Boltzmann simulations , Presented at the OCCAM/ICFD Lattice Boltzmann Workshop, 2010
5. T. Reis and P.J. Dellar, A random projection method for sharp phase boundaries in lattice Boltzmann simulations, Proceedings of the 12th European Conference on the Mathematics of Oil Recovery (ECMOR), 2010
6. T. Reis, M. Sahin, and H.J. Wilson, Co-Extrusion Instabilities Modeled with a Single Fluid, AIP Conf. Proc, 1027 (2009), 150

Technical Reports

1. W. Chen, B. Cor, A. Konuralp, J.R. Ockendon, T. Reis and S. Sengl, Spinning Soccer Ball Trajectory, problem proposed by Trabzonspor at the First Euroasian Study Group with Industry, October 2010.
2. S. Arabzade, A. Bourlioux, A. Foucault, A. Majumdar, C. Mavriplis, M. Ramirez, S. Peppin, M. Pugh, L. Proulx, T. Reis and N. Shahbazian, Reacting Flows and Vortices, problem proposed by Rolls-Royce at the Third Montreal Industrial Problem Solving Workshop, August 2009.
3. D. Allwright, C. Breward, I. Hewitt, P. Hjorth, C. Morgan, J. Ockendon, C. Please, T. Reis and D. Sibley, Reaction-diffusion models of decontamination, problem proposed by DSTL at the 68th ESGI, Southampton, March 2009.

Popular Science

1. T. Reis, Rheology: The Science of Deformation and Flow, iSquared Magazine, Issue 4