Behavior of coherent structures in the wall region by dynamical systems theory

Nadine Aubry, John L. Lumley, Philip Holmes, Emile Stone

Research output: Contribution to journalConference articlepeer-review


Objective analysis of experimental measurements indicates that there are recurrent streamwise rolls present in the wall region, at least in the quadratic mean sense. Representation theorems permit optimal expansion of the instantaneous velocity field in the wall region in terms of these streamwise rolls. Without involving ourselves in the question of the source of these rolls, we ask how they will behave dynamically. Severely truncating our system, and using Galerkin projection, we obtain a closed set of non-linear ordinary differential equations with ten degrees of freedom. The methods of dynamical systems theory are applied to these equations.

Original languageEnglish
Pages (from-to)672-691
Number of pages20
JournalProceedings of the International Centre for Heat and Mass Transfer
StatePublished - 1988
EventNear-Wall Turbulence: 1988 Zoran Zaric Memorial Conference - Dubrovnik, Ygosl
Duration: May 16 1988May 20 1988


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