In addition to being an exceptionally rich source of problems with practical relevance to the modern world, the relatively simple concepts of fluid mechanics lead to surprisingly difficult mathematical challenges.

The fluids group acts as a focal point for activity around the broad area of fluid mechanics at Leicester. Based in the Mathematical Modelling Centre, the fluids group emphasises inter-disciplinary collaboration both nationally and internationally, and tackles problems ranging from, for example, the control of aerodynamically significant flows, to the development of efficient numerical schemes for the solution of PDEs. The collaborative nature of the group means that research is actively being undertaken using a combination of theoretical, experimental, and computational approaches.

Seminar series: link

Current members

Department of Mathematics:

 Department of Engineering:

Some recent publications

  1. P.T. Griffiths,  S.O. Stephen,  A.P. Bassom, S.J. Garrett,  Stability of the boundary layer on a rotating disk for power-law fluids, J. Non-Newton Fluid mechanics, 2014.
  2. AN Gorban, I Karlin, Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations, Bulletin of the American Mathematical Society 51 (2), 186-246 (2014).
  3. A. Barrow, S. J. Garrett, Convective and absolute instabilities in the boundary layer over rotating spheres with surface mass flux and incident axial flow, European Journal of Mechanics-B/Fluids, 38, 93-100 (2013).
  4. AK Dubey, A Bodrova, S Puri, N Brilliantov, Velocity distribution function and effective restitution coefficient for a granular gas of viscoelastic particles
    Physical Review E 87 (6) (2013), 062202.
  5. N.V. Brilliantov, Granular Hydrodynamics. MMNP Journal. EDP Sciences, Cambridge University Press. Vol 6, Issue 04, January 2011 pp 1-1. 
  6. S. J. Garrett, Vortex-Speed Selection within the Rotating-Disk Boundary Layer. Journal of Algorithms & Computational Technology,
    4(1), 71-88 (2010).
  7. T. Aboiyar, E. H. Georgoulis and A. Iske. Adaptive ADER methods using kernel-based polyharmonic spline WENO reconstruction. SIAM Journal on Scientific Computing 32(6) pp. 3251-3277 (2010).
  8. J.R. Ackerman, J.P. Gostelow, A. Rona and W.E. Carscallen Measurements of Fluctuating Pressures on a Circular Cylinder in Subsonic Cross Flow, AIAA Journal, Vol. 47, No. 9, September 2009, pp. 2121-2131.
  9. R. A. Brownlee, A. N. Gorban, and J. Levesley, Nonequilibrium entropy limiters in lattice Boltzmann methods, Physica A 387(2-3) (2008), 385-406.
  10. E. Chiavazzo, I.V. Karlin, A.N. Gorban, and K. Boulouchos, Coupling of the model reduction technique with the lattice Boltzmann method, Combustion and Flame 157(10) (2010), 1833-1849
  11. Z. Hussain, S.J. Garrett and S.O. Stephen, The instability of the boundary layer over a disk rotating in an enforced axial flow, Phys. Fluids 23, (2011) 1141108.
  12. S.J. Garrett, Z. Hussain and S.O. Stephen, The crossflow instability of the boundary layer on a rotating cone, J. Fluid Mech., 622, (2009) 209-232.
  13. NV Brilliantov, J Schmidt, F Spahn, Geysers of Enceladus: Quantitative analysis of qualitative models, Planetary and Space Science 56 (12) (2008), 1596-1606.
  14. W. A. McMullan, S. Gao and C. M. Coats, The effect of inflow conditions on the transition to turbulence in large eddy simulations of spatially developing mixing layers, International Journal of Heat and Fluid Flow, Vol. 30 (2009), 1054-1066.


Current PhD students

Alastair Barrow, Pietro Ghillani, Manuele Monti, Davide Di Pasquale, Ivan Spisso, Paul Towers

Recent PhD projects completed
  • Analytical and CFD Methods Investigating Shroud Blade Tip Leakage, by Mohammed F.F. El-Dosoky (2009).
  • Aerodynamics and near-field acoustics of a subsonic cylindrical cavity flow by parallel CFD, by Marco Grottadaurea (2010)
  • The convective instability of the boundary-layer flow over families of rotating spheroids, by Abdul Samad (2010)
  • Kinetic properties of granular gases of viscoelastic particles by Anna Bodrova


  • S.J. Garrett (P) £268k “Boundary-layer transition on rotating bodies” EPSRC, 2009 – 2012.
  • A. Rona (P), M. Onorato, R. Camussi, C. Airiau €732k “Marie Curie EST AeroTraNet”, European Commission, 2008 – 2009.
  • A. Rona (P), A. Ramm, £4k “Distinguished visiting fellowship”, 2009
  • A. Rona (P), £31k “Overseas Travel Grant”, EPSRC, 2009 – 2010.
  • A. Rona (P), M. Onorato, R. Camussi, C. Airiau €575k “Marie Curie EST AeroTraNet”, European Commission, 2009 – 2010.

Share this page:

Contact details

Department of Mathematics
University of Leicester
University Road
Leicester LE1 7RH
United Kingdom

Tel.: +44 (0)116 252 3917
Fax: +44 (0)116 252 3915

Campus Based Courses

Undergraduate: mathsug@le.ac.uk
Postgraduate Taught: mathspg@le.ac.uk

Postgraduate Research: pgrmaths@le.ac.uk

Distance Learning Course  

Actuarial Science:



DisabledGo logo

The University of Leicester is committed to equal access to our facilities. DisabledGo has detailed accessibility guides for College House and the Michael Atiyah Building.