1993
DOI: 10.1007/bf01082564
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Direct numerical simulation of driven cavity flows

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Cited by 9 publications
(5 citation statements)
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“…In Ref. 21 we have estimated the Kolmogorov entropy K from the correlation integral ͑in the manner that is outlined in Refs. 22 and 23͒.…”
Section: B Data For the Pod: Results At Re‫00022؍‬mentioning
confidence: 99%
“…In Ref. 21 we have estimated the Kolmogorov entropy K from the correlation integral ͑in the manner that is outlined in Refs. 22 and 23͒.…”
Section: B Data For the Pod: Results At Re‫00022؍‬mentioning
confidence: 99%
“…Our direct simulations exhibit that the flow converges to a purely periodically oscillating state at Re = 11,000. The amplitude of the periodic motion is small: in terms of the total kinetic energy 0.2% of the mean value (more details can be found in [3]). DNS of the motion of the vortical structures at Re = 22,000 reveals that the dynamics has become chaotic: the correlation dimension is approximately 2.8, the Kolmogorov entropy is approximately 3.0.…”
Section: I)ns Of T~vo-dimensional Flov~ In a Driven Tacit>mentioning
confidence: 99%
“…From the previous paragraph, it can be concluded that the symmetry-preserving projection method for explicit time stepping is the preferred approach for problems which require CFL numbers smaller than one for temporal accuracy, provided that the explicit approach remains stable. As mentioned in for example Verstappen et al [38] and Vreman [42] , the time step imposed by the convective stability criterion can be substantially smaller than the time scale of the smallest resolved eddies in many turbulent flows. Such flows can be computed accurately in time with CFL numbers larger than one, where the proposed symmetrypreserving PISO-based method for implicit time stepping is expected to be more efficient.…”
Section: Overall Performance Assessmentmentioning
confidence: 99%