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Proceedings Paper

Blessing and curse of chaos in numerical turbulence simulations
Author(s): Jon Lee
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Paper Abstract

Because of the trajectory instability, time reversal is not possible beyond a certain evolution time and hence the time irreversibility prevails under the finite-accuracy trajectory computation. This therefore provides a practical reconciliation of the dynamic reversibility and macroscopic irreversibility (blessing of chaos). On the other hand, the trajectory instability is also responsible for a limited evolution time, so that finite-accuracy computation would yield a pseudo-orbit which is totally unrelated to the true trajectory (curse of chaos). For the inviscid 2D flow, however, we can accurately compute the long- time average of flow quantities with a pseudo-orbit by invoking the ergodic theorem.

Paper Details

Date Published: 1 March 1994
PDF: 13 pages
Proc. SPIE 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization, (1 March 1994); doi: 10.1117/12.167529
Show Author Affiliations
Jon Lee, Air Force Wright Lab. (United States)


Published in SPIE Proceedings Vol. 2037:
Chaos/Nonlinear Dynamics: Methods and Commercialization
Helena S. Wisniewski, Editor(s)

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