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Navier-Stokes solver using Green's functions I: channel flow and plane Couette flow
Navier-Stokes solver Green's functions channel flow plane Couette flow Fluid Dynamics
2012/5/31
Numerical solvers of the incompressible Navier-Stokes equations have reproduced turbulence phenomena such as the law of the wall, the dependence of turbulence intensities on the Reynolds number, and e...
We track the secondary bifurcations of coherent states in plane Couette flow and show that they undergo an incomplete periodic doubling cascade that ends with a crisis bifurcation. We introduce a symb...
Snakes and ladders: localized solutions of plane Couette flow
Snakes ladders plane Couette flow
2010/4/7
We demonstrate the existence of a large number of exact solutions of plane Couette flow, which share the topology of known periodic solutions but are localized in space. Solutions of different size ar...