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Wave number selection for incompressible parallel jet flows periodic in space
Author(s) -
Jeffrey Hilton Miles
Publication year - 1997
Publication title -
30th fluid dynamics conference
Language(s) - English
Resource type - Conference proceedings
DOI - 10.2514/6.1997-1996
Subject(s) - selection (genetic algorithm) , jet (fluid) , compressibility , space (punctuation) , mechanics , physics , computer science , statistical physics , topology (electrical circuits) , parallel computing , mathematics , combinatorics , artificial intelligence , operating system
The temporal instability of a spatially periodic, parallel flow of an incompressible inviscid fluid for various jet velocity profiles is studied numerically using Floquet Analysis. The transition matrix at the end of a period is evaluated by direct numerical integration. For verification, a method based on approximating a continuous function by a series of step functions was used. Unstable solutions were found only over a limited range of wave numbers and have a band type structure. The results obtained are analogous to the behavior observed in systems exhibiting complexity at the edge of order and chaos.

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