Chaotic Properties of a Turbulent Isotropic Fluid

By tracking the divergence of two initially close trajectories in phase space in an Eulerian approach to forced turbulence, the relation between the maximal Lyapunov exponent λ and the Reynolds number Re is measured using direct numerical simulations, performed on up to 2048^{3} collocation points....

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Veröffentlicht in:Physical review letters 2018-01, Vol.120 (2), p.024101-024101, Article 024101
Hauptverfasser: Berera, Arjun, Ho, Richard D J G
Format: Artikel
Sprache:eng
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Zusammenfassung:By tracking the divergence of two initially close trajectories in phase space in an Eulerian approach to forced turbulence, the relation between the maximal Lyapunov exponent λ and the Reynolds number Re is measured using direct numerical simulations, performed on up to 2048^{3} collocation points. The Lyapunov exponent is found to solely depend on the Reynolds number with λ∝Re^{0.53} and that after a transient period the divergence of trajectories grows at the same rate at all scales. Finally a linear divergence is seen that is dependent on the energy forcing rate. Links are made with other chaotic systems.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.120.024101