Career
- 2017- date: DAMTP, Cambridge University
- 1996-2017: Mathematics, Bristol University
- 1992-1996: Mathematics, Newcastle University
- 1992 : PhD, MIT
Research
General fluid mechanics: the Navier-Stokes equations (nonlinear dynamics, transition and turbulence); geophysical and astrophysical fluid mechanics (e.g. convection; stably stratified flows; tidal, precessional and librational motion of planetary interiors and subsurface oceans; accretion disks);
Selected Publications
- see homepage (www.damtp.cam.ac.uk/user/rrk26)
Publications
Localization in a spanwise-extended model of plane Couette flow.
– Physical Review E
(2015)
91,
043005
(doi: 10.1103/physreve.91.043005)
Fully localised nonlinear energy growth optimals in pipe flow
– Physics of Fluids
(2015)
27,
064102
(doi: 10.1063/1.4922183)
An optimization approach for analysing nonlinear stability with transition to turbulence in fluids as an exemplar
– Reports on progress in physics. Physical Society (Great Britain)
(2014)
77,
085901
Spatiotemporal dynamics in two-dimensional Kolmogorov flow over large domains
– Journal of Fluid Mechanics
(2014)
750,
518
(doi: 10.1017/jfm.2014.270)
Genesis of Streamwise-Localized Solutions from Globally Periodic Traveling Waves in Pipe Flow
– Physical review letters
(2014)
112,
164501
Designing a more nonlinearly stable laminar flow via boundary manipulation
– Journal of Fluid Mechanics
(2013)
738,
r1
(doi: 10.1017/jfm.2013.601)
Rayleigh-Taylor instability in a finite cylinder: linear stability analysis and long-time fingering solutions
– Journal of Fluid Mechanics
(2013)
734,
338
(doi: 10.1017/jfm.2013.492)
Balancing a cylinder on a thin vertical layer of viscous fluid
– Physical review. E, Statistical, nonlinear, and soft matter physics
(2013)
87,
065001
(doi: 10.1103/PhysRevE.87.065001)
Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow
– Journal of Fluid Mechanics
(2013)
722,
554
(doi: 10.1017/jfm.2013.122)
Spin-up and spin-down in a half cone: A pathological situation or not?
– Physics of Fluids
(2012)
24,
116601
(doi: 10.1063/1.4765333)
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