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physics.flu-dyn2024
From annular cavity to rotor-stator flow: nonlinear dynamics of axisymmetric rolls
Artur Gesla, Patrick Le Quéré, Yohann Duguet +1
Spatio-temporally complex flows are found at the onset of unsteadiness in (axisymmetric) rotor-stator turbulence in the shape of concentric rolls. The emergence of these rolls is r…
physics.flu-dyn2024
Computation and stability analysis of periodic orbits using finite differences, Fourier or Chebyshev spectral expansions in time
Artur Gesla, Yohann Duguet, Patrick Le Quéré +1
We analyse and compare several algorithms to compute numerically periodic solutions of high-dimensional dynamical systems and investigate their Floquet stability without building t…
physics.flu-dyn2024
On the origin of circular rolls in rotor-stator flow
Artur Gesla, Yohann Duguet, Patrick Le Quéré +1
Rotor-stator flows are known to exhibit instabilities in the form of circular and spiral rolls. While the spirals are known to emanate from a supercritical Hopf bifurcation, the or…