Critical Point for Bifurcation Cascades and Featureless Turbulence.
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Canton J
Computational Science and Engineering Laboratory, ETH Zurich, CH-8092 Zurich, Switzerland.
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Rinaldi E
Linné FLOW Centre KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden.
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Örlü R
Linné FLOW Centre KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden.
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Schlatter P
Linné FLOW Centre KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden.
Published in:
- Physical review letters. - 2020
English
In this Letter we show that a bifurcation cascade and fully sustained turbulence can share the phase space of a fluid flow system, resulting in the presence of competing stable attractors. We analyze the toroidal pipe flow, which undergoes subcritical transition to turbulence at low pipe curvatures (pipe-to-torus diameter ratio) and supercritical transition at high curvatures, as was previously documented. We unveil an additional step in the bifurcation cascade and provide evidence that, in a narrow range of intermediate curvatures, its dynamics competes with that of sustained turbulence emerging through subcritical transition mechanisms.
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Language
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Open access status
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green
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Identifiers
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Persistent URL
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https://sonar.ch/global/documents/188081
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