Burnett stress

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)

CFD

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)

D3Q19

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)

Dipole-wall collision

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)

dispersion relation

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)

Engineering mathematics

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

fluid mechanics

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)

lattice Boltzmann

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)

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)

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 conditions. In: 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7). ECCOMAS, Glasgow.

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)

Lattice Boltzmann equation

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)

Lattice Boltzmann method

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)

moment based boundary conditions

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)

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 conditions. In: 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7). ECCOMAS, Glasgow.

moment-based boundary conditions

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)

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)

multiphase flow

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)

multiple relaxation time

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)

Navier slip

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 conditions. In: 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7). ECCOMAS, Glasgow.

pulsatile flow

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 conditions. In: 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7). ECCOMAS, Glasgow.

regularized cavity

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)

surface tension

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)

two relaxation times

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)

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)