期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 295, 期 -, 页码 805-814出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2015.04.036
关键词
Turbulence; Velocity gradient tensor; Invariants; CMTs
资金
- European Research Council [ERC-2010.AdG-20100224]
- FPI fellowship from the Spanish Ministry of Education and Science [TRA2009-11498]
- CeSViMa (Centro de Supercomputacion y Visualizacion de Madrid)
- Barcelona Supercomputing Center
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. (C) 2015 The Authors. Published by Elsevier Inc.
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