Rich Kerswell


DAMTP
Centre for Mathematical Sciences
University of Cambridge
Wilberforce Rd 
Cambridge CB3 0WA, U.K.

R.R.Kerswell@damtp.cam.ac.uk

Tel: +44-1223-766349


Research Interests

Interested in a PhD with me?

Lecture notes

Recent Meetings

Papers:

Archive (selected):
Kerswell, R.R. ``The instability of precessing flow'' Geophys. Astrophys. Fluid Dynam. 72, 107-144, 1993.
Kerswell, R.R. ``Tidal excitation of hydromagnetic waves and their damping in the Earth'' J. Fluid Mech. 274, 219-241, 1994.
Kerswell, R.R. ``Secondary instabilities in rapidly rotating flows: inertial wave breakdown'' J. Fluid Mech. 382, 283--306, 1999.
Kerswell, R.R. ``Upper bounds on general dissipation functionals in turbulent shear flows: revisiting the `efficiency' functional'' J. Fluid Mech. 461, 239-275, 2002.
Wedin, H. & Kerswell, R.R. ``Exact coherent structures in pipe flow: travelling wave solutions'' (colour version) J. Fluid Mech. 508, 333-371, 2004.
Pringle, C.C.T., Duguet, Y. & Kerswell, R.R. ``Highly symmetric travelling waves in pipe flow''(colour version) Phil. Trans. Roy. Soc. A 367, 457-472, 2009 (TW videos).
Pringle, C.C.T. & Kerswell, R.R. ``Using nonlinear transient growth to construct the minimal seed for shear flow turbulence'' Phys. Rev. Lett. 105, 154502, 2010.
Chandler, G.J. & Kerswell, R.R. ``Simple invariant solutions embedded in 2D Kolmogorov turbulence'' J. Fluid Mech. 722, 554-595, 2013.
Kerswell, R.R. ``Nonlinear nonmodal stability theory'' Ann. Rev. Fluid Mech. 50, 319-345, 2018.
Page, J., Dubief, Y. & Kerswell, R.R. ``Exact travelling wave solutions in viscoelastic channel flow'' Phys. Rev. Lett. 125, 154501, 2020.
Page, J., Brenner, M.P. & Kerswell, R.R. ``Revealing the state space of turbulence using machine learning'' Phys. Rev. Fluids 6, 034402, 2021.
Buza, G., Beneitez, M., Page, J. & Kerswell, R.R. ``Finite-amplitude elastic waves in viscoelastic channel flow from large to zero Reynolds number" J. Fluid Mech. 951, A3, 2022.

Recent:
Markeviciute, V.K. & Kerswell, R.R. ``Improved assessment of the statistical stability of turbulent flows using extended Orr-Sommerfeld stability analysis'' J. Fluid Mech. 955, A1, 2023.
Beneitez, M., Page, J. & Kerswell, R.R. ``Polymeric diffusive instability leading to elastic turbulence in plane Couette flow'' Phys. Rev. Fluids 8, L101901, 2023.
Zhu, L., Atoufi, A., Lefauve, A., Taylor, J.R., Kerswell, R.R., Dalziel, S., Lawrence, G. & Linden, P.F. ``Stratified inclined duct: direct numerical simulations" J. Fluid Mech. 969, A20, 2023.
Zolfaghari, H., Andiapen, M., Baumbach, A., Mathur, A. & Kerswell, R.R. ``Wall shear stress and pressure patterns in aortic stenosis patients with and without aortic dilation captured by high-performance image-based computational fluid dynamics'' PLOS Computational Biology, 19, e1011479, 2023.
Atoufi, A., Zhu, L., Lefauve, A., Taylor, J.R., Kerswell, R.R., Dalziel, S., Lawrence, G. & Linden, P.F. ``Stratified inclined duct: two-layer hydraulics and instabilities" J. Fluid Mech. 977, A25, 2023.
Nivarti, G.V., Kerswell, R.R., Marston, J.B & Tobias, S.M. ``Non-equivalence of quasilinear dynamical systems and their statistical closures''
Markeviciute, V.K. & Kerswell, R.R. ``Threshold transient growth as a criterion for turbulent mean profiles''
Page, J., Norgaard, P., Brenner, M. P. & Kerswell, R. R. ``Recurrent flow patterns as a basis for turbulence: predicting statistics from structures''
Beneitez, M., Page, J., Dubief, Y. & Kerswell, R.R. ``Multistability of elasto-inertial two-dimensional channel flow'' J. Fluid Mech. 981 , A30, 2024.
Couchman, M.M.P., Beneitez, M., Page, J. & Kerswell, R.R. ``Inertial enhancement of the polymer diffusive instability"J. Fluid Mech. 981 , A2, 2024.
Page, J., Holey, J., Brenner, M. P. & Kerswell, R. R. ``Exact coherent structures in two-dimensional turbulence identified with convolutional autoencoders''
Zhu, L., Jiang, X. , Lefauve, A., Kerswell, R.R. & Linden, P.F. ``New insights into experimental stratified flows obtained through Physics-informed neural networks" J. Fluid Mech. 981, R1, 2024.
Shokar, I.J.S., Kerswell, R.R. and Haynes, P.H. ``Stochastic latent transformer: efficient modelling of stochastically forced zonal jets''
Lewy, T. and Kerswell, R.R. ``The polymer diffusive instability in highly concentrated polymeric fluids'' J. Non Newtonian Fluid Mech. 326 , 105212, 2024.
Zhu, L., Atoufi, A., Lefauve, A., Kerswell, R. R. & Linden, P. F. ``Long-wave instabilities of sloping stratified exchange flows'' J. Fluid Mech. 983 A12, 2024.
Kerswell, R.R. and Page, J. ``Asymptotics of the centre mode instability in viscoelastic channel flow: with and without inertia''
Madhusudanan, A. and Kerswell, R. R. ``Predicting bursting events in 2-D Kolmogorov flows:A wavelet-based analysis''

Postdocs:

Ashley Willis, EPSRC-funded 2005-2008 (now Senior Lecturer at Sheffield University)
Yohann Duguet, Marie-Curie Fellow 2006-2008 (now CNRS, LIMSI, Paris)
Laurent Lacaze, Marie-Curie Fellow 2006-2008 (now CNRS, IMFT, Toulouse)
Mark Woodhouse, Renishaw & North Bristol NHS Trust funded 2007-2009 (now NERC Knowledge Exchange Fellow, Bristol University)
Gary Chandler, EPSRC-funded 2010-2011 (now Motorsport engineering)
Dan Lucas, EPSRC-funded 2012-2013 (now Lecturer at St Andrews University)
Colin Leclercq, EPSRC-funded 2014-2016 (now Ingenieur de Recherche, ONERA, Meudon)
Jacob Page, EPSRC-funded 2016-2018 (now Lecturer in Applied Mathematics, Edinburgh University)
Jake Langham, EPSRC Doctoral Prize 2017-2019 (now a postdoc with Prof Andrew Hogg at Bristol)
Zijing Ding, EPSRC-funded 2017-2020 (now Professor at the Harbin Institute of Technology, China) (genius)
Hadi Zolfaghari SNSF-funded & Marie-Curie Fellow 2020-2023
Miles Couchman DAMTP-funded (with C.P. Caulfield) 2020-2022 (now Assistant Professor at York University, Canada)
Lu Zhu ERC-funded (with P.F. Linden) 2021-2023 and 2023-2024 (DAMTP-funded)
Miguel Beneitez, EPSRC-funded (with J. Page, Edinburgh) 2021-2024
Anagha Madhusudanan, INI-Simons Fellow Jan-Dec 2022 (now a 5-year INSPIRE fellow in Bengaluru)
Dario Klingenberg , DAAD Scholar (German Academic Exchange) Sept 2023-Feb 2025

Graduate students:

Darren Mason 1995-1999 (now software engineering).
Denise Cooper (née Barnes) 1996-2000 (now senior software engineer at Radan Computational Ltd, Bath, in CAD).
Robert Mason 1998-2001 (now Serco Assurance, Dorchester, in scientific consultancy).
Stephen Plasting 2000-2004 (followed by a postdoc at Scripps Oceanographic Institute, San Diego with W.R. Young; now finance).
Hakan Wedin 2001-2004 (followed by postdocs at Kyoto University with M. Nagata and now Genoa University with A. Bottaro).
Chris Pringle 2005-2009 (followed by postdocs at Reading and Nottingham Universities, now Senior Lecturer at Coventry University).
Helen Sweeney 2008-2011 (followed by training with Teach First).
Samuel Rabin 2009-2013, co-supervised with C. Caulfield (now finance).
Matthew Chantry 2010-2014 (followed by postdocs in Paris and Oxford, now at ECMWF).
Daniel Olvera 2012-2016 (followed by a postdoc with Chris Pringle at Coventry University).
Jeremy Parker 2017-2020, co-supervised with C. Caulfield (followed by a postdoc with T. Schneider at EPFL from Nov 2020).
Vilda Markeviciute 2018-2022 (EPSRC, now at Expedia)
Will Oxley 2020- (EPSRC).
Gergely Buza 2020- (Harding Fellow).
Joe Holey 2020- (CMI) co-supervised with J. Page.
Ira Shokar 2021- (AI4ER), co-supervised with P. Haynes.
Rami Cassia 2021- (CMI).
Theo Lewy 2022- (Trust Fellow).