Fully nonlinear dynamics of parallel wakes

Jean-Marc Chomaz 1, *
Abstract : The fully nonlinear theory of global modes in open flows, proposed in recent analyses of amplitude equations, is extended to the case of Navier-Stokes equations using direct numerical simulations. The basic flow under consideration is a parallel wake in a finite domain generated by imposing the wake profile at the inlet boundary and by adding a body force to compensate the basic flow diffusion. The link between the global bifurcation, the absolute or convective nature of the local linear instability, and the theory of speed selection for the front separating an unperturbed domain of the flow from a fully saturated solution is elucidated. In particular, thanks to the parallelism of the flow, the bifurcation scenario and the associated scaling laws for the frequency, the healing length, and the slope at the origin predicted by a previous analysis of amplitude equations are recovered with great precision.
Complete list of metadatas

Cited literature [57 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-01024934
Contributor : Denis Roura <>
Submitted on : Wednesday, August 27, 2014 - 12:46:27 PM
Last modification on : Wednesday, March 27, 2019 - 4:39:25 PM
Long-term archiving on : Friday, November 28, 2014 - 10:10:52 AM

File

S0022112003006335a.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

Jean-Marc Chomaz. Fully nonlinear dynamics of parallel wakes. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2003, november (495), pp.57-75. ⟨10.1017/s0022112003006335⟩. ⟨hal-01024934⟩

Share

Metrics

Record views

191

Files downloads

190