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Publications [#53784] of Lawrence N. Virgin
Papers Published
- R. Reynolds, L.N. Virgin and E.H. Dowell, High-dimensional chaos cab lead to weak turbulence,
Nonlinear Dynamics, vol. 4 no. 6
(1993),
pp. 531 - 546
(last updated on 2010/12/05)
Abstract: One of the outstanding unresolved questions of nonlinear dynamics is the relationship between chaos and turbulence. This is a deep and difficult question, not the least reason being that the definitions of 'chaos' and 'turbulence' are not universally agreed upon. Here we define chaos as the time history of a single descriptor of a deterministic dynamical system which undergoes a loss of temporal correlation with a change in some system parameter and that displays sensitivity to initial conditions. Turbulence is defined as the time history of the spatial distribution of a deterministic dynamical system which undergoes a loss of temporal and (subsequently) spatial correlation with a change in some system parameter(s). By analogy and numerical simulation it is argued that turbulence can be a consequence of multi-mode interaction of individually chaotic modes. The physical system used here is a fluttering panel in a supersonic airstream.
Keywords: Aerodynamics;Elasticity;Turbulence;Supersonic flow;
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