Key details
Dr Timothy Reis
Head of School of Computing & Mathematical Sciences
Timothy Reis is Head of School for Computing and Mathematical Sciences and an applied mathematician whose research is internationally recognised in the theory and application of the lattice Boltzmann method (LBM). His work has made significant contributions to the mathematical and kinetic foundations of LBM, particularly in the development of multiphase flow models and boundary conditions, including extensions to the slip‑flow regime. His research has been published in leading journals including SIAM Journal on Scientific Computing, Journal of Computational Physics, Journal of non-Newtonian Fluid Mechanics, and Physics of Fluids, and is widely cited within the computational fluid dynamics and applied mathematics communities. He has enjoyed visiting fellowships to the Issac Newton Institute and the Beijing Computational Science Research Centre, 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.
Alongside maintaining an active research profile and supervising doctoral researchers, Dr Reis provides strategic academic leadership as Head of the School of Computing & Mathematical Sciences. In his previous role as Academic Portfolio Lead for Mathematics, he led a major redesign of Greenwich’s mathematics provision, developing a distinctive, theme‑based degree structure grounded in real‑world societal, scientific, and business challenges. This work was nationally recognised through the award of a CaMS Project Award (Campaign for Mathematical Sciences), supporting the development of an innovative new mathematics degree and contributing to widening participation and re‑imagining pathways into mathematical sciences education.
Responsibilities within the university
Head of School for Computing and Mathematical Sciences
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
- Editor of the International journal of Computer Mathematics
- Member of the UK Consortium on Mesoscopic Engineering Science (UKCOMES)
- Visiting Research Fellow at the Isaac Newton Institute (Partial Differential Equations in Kinetic Theories Programme, 2010)
- Fellow of the Institute of Mathematics and its Applications
- Member of the HEA
Research / Scholarly interests
My main research activities involves the theory and application of the lattice Boltzmann method, but I am generally interested in fluid mechanics, numerical analysis, and applied mathematics more broadly.
Key funded projects
- Maths Degrees for the Future, Campaign for Mathematical Sciences (£150000)
- Leverhulme Research Project Grant, “Lattice Boltzmann methods for compressible multiphase flows”, £161725 (December 2024-December 2026)
Recent publications
Article
bu Sinnah, Zainab , Graham, David, Reis, Timothy (2025), Imposing Navier-slip boundary conditions on the lattice Boltzmann equation in three dimensions. Taylor and Francis Group - Taylor and Francis. In: , , , . Taylor and Francis Group - Taylor and Francis, International Journal of Computer Mathematics ISSN: 0020-7160 (Print), 1029-0265 (Online) (doi: https://doi.org/10.1080/00207160.2025.2542488) NB Item availability restricted.
Reis, Timothy and , (2022), A lattice Boltzmann formulation of the one-fluid model for multiphase flow. Elsevier - Academic Press. In: , , , . Elsevier - Academic Press, Journal of Computational Physics, 453: 110962 ISSN: 0021-9991 (Print), 1090-2716 (Online) (doi: https://doi.org/10.1016/j.jcp.2022.110962).
Mohammed, S. and , Reis, T. (2021), A Lattice Boltzmann method with moment-based boundary conditions for rarefied flow in the slip regime. American Physical Society. In: , , , . American Physical Society, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 104: 45309 (4) ISSN: 1539-3755 (Print), 1550-2376 (Online) (doi: https://doi.org/10.1103/PhysRevE.104.045309).