2022

Reis, Timothy ORCID: 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:https://doi.org/10.1016/j.jcp.2022.110962)

2021

Mohammed, S. and Reis, T. ORCID: 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:https://doi.org/10.1103/PhysRevE.104.045309)

2020

Krastins, Ivars, Kao, Andrew ORCID: 0000-0002-6430-2134 , Pericleous, Koulis ORCID: 0000-0002-7426-9999 and Reis, Timothy ORCID: 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:https://doi.org/10.1002/fld.4856)

Reis, T. ORCID: 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:https://doi.org/10.1137/19M1244846)

Mohammed, S., Graham, D. I. and Reis, T. ORCID: 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:https://doi.org/10.1063/1.5131865)

2019

Reis, Timothy ORCID: 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:https://doi.org/10.4208/cicp.OA-2018-0229)

2018

Reis, T. ORCID: 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:https://doi.org/10.1137/18M1184928)

Mohammed, Seemaa, Graham, David and Reis, Timothy ORCID: 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:https://doi.org/10.1016/j.compfluid.2018.08.025)

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

Bu Sinnah, Zainab A., Graham, David I. and Reis, Timothy ORCID: 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.

2017

Mohammed, Seemaa and Reis, Tim ORCID: 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:https://doi.org/10.1515/meceng-2017-0004)

2016

Langfeld, Kurt, Graham, David I., Greaves, Deborah M., Mehmood, Arshad and Reis, Tim ORCID: 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 and Reis, Tim ORCID: 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:https://doi.org/10.1504/PCFD.2016.077296)

Pang, C.L., Alcock, R., Pilkington, N., Reis, T. ORCID: 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:https://doi.org/10.1016/j.crad.2016.03.001)

2015

Hantsch, Andreas, Reis, Tim ORCID: 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:https://doi.org/10.1260/1757-482X.7.1.1)

2013

Reis, T. ORCID: 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:https://doi.org/10.1016/j.jnnfm.2013.01.002)

Allen, Rebecca, Reis, Tim ORCID: 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:https://doi.org/10.2118/163658-MS)

2012

Reis, Tim ORCID: 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:https://doi.org/10.1063/1.4764514)

2010

Reis, T. ORCID: 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:https://doi.org/10.1016/j.compfluid.2010.12.005)

2008

Reis, T. ORCID: 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:https://doi.org/10.1103/PhysRevE.78.068702)

Reis, T. ORCID: 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:https://doi.org/10.1103/PhysRevE.77.026703)

Reis, Timothy ORCID: 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:https://doi.org/10.1103/PhysRevE.77.026702)

2007

Reis, T. ORCID: 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:https://doi.org/10.1103/PhysRevE.76.059902)

Reis, T. ORCID: 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:https://doi.org/10.1103/PhysRevE.75.056703)

Reis, T. ORCID: 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:https://doi.org/10.1088/1751-8113/40/14/018)