Numerically accurate computation of the conditional trajectories of the topological invariants in turbulent flows
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Date
2015-08-15
Publication Type
Journal Article
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yes
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Abstract
The computation of the topological invariants of the velocity gradient tensor and of their conditional mean trajectories in incompressible turbulent flows is revisited. It is argued that probability conservation requires that the conditional mean trajectories should be closed when a statistically stationary wall-bounded or periodic domain is considered, and this is confirmed numerically for a turbulent channel. It is argued that previous reports of inward spiraling of the conditional trajectories are either due to incomplete statistics in inhomogeneous flows or to numerical errors.
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Publication status
published
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Journal / series
Volume
295
Pages / Article No.
805 - 814
Publisher
Elsevier
Event
Edition / version
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Software
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Date collected
Date created
Subject
Turbulence; Velocity gradient tensor; Invariants; CMTs
Organisational unit
09454 - Holzner, Markus (SNF-Prof.) (ehemalig) / Holzner, Markus (SNF-Prof.) (former)