Article

Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X (2022) A lattice Boltzmann formulation of the one-fluid model for multiphase flow. Journal of Computational Physics, 453:110962. ISSN 0021-9991 (Print), 1090-2716 (Online) (doi:10.1016/j.jcp.2022.110962)

Mohammed, S. and Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X (2021) A Lattice Boltzmann method with moment-based boundary conditions for rarefied flow in the slip regime. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 104 (4):045309. ISSN 1539-3755 (Print), 1550-2376 (Online) (doi:10.1103/PhysRevE.104.045309)

Krastins, Ivars, Kao, Andrew ORCID: https://orcid.org/0000-0002-6430-2134, Pericleous, Koulis ORCID: https://orcid.org/0000-0002-7426-9999 and Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X (2020) Moment-based boundary conditions for straight on-grid boundaries in three dimensional lattice Boltzmann simulations. International Journal for Numerical Methods in Fluids, 92 (12). pp. 1948-1974. ISSN 0271-2091 (Print), 1097-0363 (Online) (doi:10.1002/fld.4856)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X (2020) On the lattice Boltzmann deviatoric stress: analysis, boundary conditions, and optimal relaxation times. SIAM Journal on Scientific Computing, 42 (2). B397-B424. ISSN 1064-8275 (Print), 1095-7197 (Online) (doi:10.1137/19M1244846)

Mohammed, S., Graham, D. I. and Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X (2020) Modelling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method. Physics of Fluids, 32 (2):025104. ISSN 1070-6631 (Print), 1089-7666 (Online) (doi:10.1063/1.5131865)

Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X (2019) Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method. Communications in Computational Physics, 27 (1). pp. 167-197. ISSN 1815-2406 (Print), 1991-7120 (Online) (doi:10.4208/cicp.OA-2018-0229)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X (2018) A conservative interface sharpening Lattice Boltzmann Model. SIAM Journal on Scientific Computing, 40 (6). B1495-B1516. ISSN 1064-8275 (Print), 1095-7197 (Online) (doi:10.1137/18M1184928)

Mohammed, Seemaa, Graham, David and Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X (2018) Assessing moment-based boundary conditions for the lattice Boltzmann equation: A study of dipole-wall collisions. Computers and Fluids, 176 (C). pp. 79-96. ISSN 0045-7930 (Print), 1879-0747 (Online) (doi:10.1016/j.compfluid.2018.08.025)

Mohammed, Seemaa and Reis, Tim ORCID: https://orcid.org/0000-0003-2671-416X (2017) Using the lid-driven cavity flow to validate moment-based boundary conditions for the Lattice Boltzmann Equation. Archive of Mechanical Engineering, 64 (1). ISSN 2300-1895 (doi:10.1515/meceng-2017-0004)

Allen, Rebecca and Reis, Tim ORCID: https://orcid.org/0000-0003-2671-416X (2016) Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities. Progress in Computational Fluid Dynamics, An International Journal (PFCD), 16 (4). p. 216. ISSN 1468-4349 (Print), 1741-5233 (Online) (doi:10.1504/PCFD.2016.077296)

Pang, C.L., Alcock, R., Pilkington, N., Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X and Roobottom, C. (2016) Determining the haemodynamic significance of arterial stenosis: the relationship between CT angiography, computational fluid dynamics, and non-invasive fractional flow reserve. Clinical Radiology, 71 (8). pp. 750-757. ISSN 0009-9260 (Print), 1365-229X (Online) (doi:10.1016/j.crad.2016.03.001)

Hantsch, Andreas, Reis, Tim ORCID: https://orcid.org/0000-0003-2671-416X and Gross, Ulrich (2015) Moment method boundary conditions for multiphase Lattice Boltzmann simulations with partially-wetted walls. The Journal of Computational Multiphase Flows, 7 (1). pp. 1-14. ISSN 1757-482X (Print), 1757-4838 (Online) (doi:10.1260/1757-482X.7.1.1)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X and Wilson, H. J. (2013) Rolie-Poly fluid flowing through constrictions: Two distinct instabilities. Journal of Non-Newtonian Fluid Mechanics, 195. pp. 77-87. ISSN 0377-0257 (Print), 1873-2631 (Online) (doi:10.1016/j.jnnfm.2013.01.002)

Reis, Tim ORCID: https://orcid.org/0000-0003-2671-416X and Dellar, Paul J. (2012) Lattice Boltzmann simulations of pressure-driven flows in microchannels using Navier-Maxwell slip boundary conditions. Physics of Fluids, 24:112001. ISSN 1070-6631 (Print), 1089-7666 (Online) (doi:10.1063/1.4764514)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X and Dellar, P. J. (2010) A volume-preserving sharpening approach for the propagation of sharp phase boundaries in multiphase lattice Boltzmann simulations. Computers and Fluids, 46. pp. 417-421. ISSN 0045-7930 (Print), 1879-0747 (Online) (doi:10.1016/j.compfluid.2010.12.005)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, T. N. (2008) Reply to "comment on 'Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation'". Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78 (6):068702. ISSN 1539-3755 (Print), 1550-2376 (Online) (doi:10.1103/PhysRevE.78.068702)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, T. N. (2008) Numerical validation of a consistent axisymmetric lattice Boltzmann model. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 77 (2):026703. ISSN 1539-3755 (Print), 1550-2376 (Online) (doi:10.1103/PhysRevE.77.026703)

Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, Timothy (2008) Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 77 (2):026702. ISSN 1539-3755 (Print), 1550-2376 (Online) (doi:10.1103/PhysRevE.77.026702)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, T. N. (2007) Erratum: Modified lattice Boltzmann model for axisymmetric flows. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76 (5):059902. ISSN 1539-3755 (Print), 1550-2376 (Online) (doi:10.1103/PhysRevE.76.059902)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, T. N. (2007) Modified lattice Boltzmann model for axisymmetric flows. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75 (5):056703. ISSN 1539-3755 (Print), 1550-2376 (Online) (doi:10.1103/PhysRevE.75.056703)

Reis, T. ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, T. N. (2007) Lattice Boltzmann model for simulating immiscible two-phase flows. Journal of Physics A: Mathematical and Theoretical, 40 (14). ISSN 1751-8113 (Print), 1751-8121 (Online) (doi:10.1088/1751-8113/40/14/018)

Book

James, Glyn, Dyke, Phil, Craven, Matthew, Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X and Stander, Julian (2018) Advanced Modern Engineering Mathematics. Pearson Education, Harlow, UK. ISBN 978-1292174341

Conference Proceedings

Bu Sinnah, Zainab A., Graham, David I. and Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X (2018) Lattice Boltzmann modelling of pulsatile flow using moment boundary condiitons. In: 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7). ECCOMAS, Glasgow.

Langfeld, Kurt, Graham, David I., Greaves, Deborah M., Mehmood, Arshad and Reis, Tim ORCID: https://orcid.org/0000-0003-2671-416X (2016) The virtual source approach to non-linear potential flow simulations. In: The Proceedings of The Twenty-sixth (2016) International OCEAN AND POLAR ENGINEERING CONFERENCE. ISOPE, California, USA, pp. 242-249. ISBN 978-1880653883 ISSN 1098-6189

Allen, Rebecca, Reis, Tim ORCID: https://orcid.org/0000-0003-2671-416X and Sun, Shuyu (2013) A new lattice Boltzmann equation to simulate density-driven convection of carbon dioxide. In: Society of Petroleum Engineers - SPE Reservoir Simulation Symposium 2013. Society of Petroleum Engineers. ISBN 978-1613992333 (doi:10.2118/163658-MS)