[{"quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1703.01714"}],"publisher":"American Institute of Physics","doi":"10.1063/1.4981525","type":"journal_article","_id":"662","date_updated":"2021-01-12T08:08:15Z","status":"public","publication":"Physics of Fluids","project":[{"name":"Astrophysical instability of currents and turbulences","grant_number":"SFB 963  TP A8","_id":"2511D90C-B435-11E9-9278-68D0E5697425"}],"date_published":"2017-04-01T00:00:00Z","year":"2017","publist_id":"7072","intvolume":"        29","abstract":[{"text":"We report a direct-numerical-simulation study of the Taylor-Couette flow in the quasi-Keplerian regime at shear Reynolds numbers up to (105). Quasi-Keplerian rotating flow has been investigated for decades as a simplified model system to study the origin of turbulence in accretion disks that is not fully understood. The flow in this study is axially periodic and thus the experimental end-wall effects on the stability of the flow are avoided. Using optimal linear perturbations as initial conditions, our simulations find no sustained turbulence: the strong initial perturbations distort the velocity profile and trigger turbulence that eventually decays.","lang":"eng"}],"publication_status":"published","publication_identifier":{"issn":["10706631"]},"title":"Hydrodynamic turbulence in quasi Keplerian rotating flows","oa_version":"Submitted Version","scopus_import":1,"day":"01","author":[{"last_name":"Shi","full_name":"Shi, Liang","first_name":"Liang"},{"id":"3A374330-F248-11E8-B48F-1D18A9856A87","full_name":"Hof, Björn","last_name":"Hof","orcid":"0000-0003-2057-2754","first_name":"Björn"},{"full_name":"Rampp, Markus","last_name":"Rampp","first_name":"Markus"},{"first_name":"Marc","full_name":"Avila, Marc","last_name":"Avila"}],"date_created":"2018-12-11T11:47:47Z","volume":29,"language":[{"iso":"eng"}],"oa":1,"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"L. Shi, B. Hof, M. Rampp, and M. Avila, “Hydrodynamic turbulence in quasi Keplerian rotating flows,” <i>Physics of Fluids</i>, vol. 29, no. 4. American Institute of Physics, 2017.","short":"L. Shi, B. Hof, M. Rampp, M. Avila, Physics of Fluids 29 (2017).","ama":"Shi L, Hof B, Rampp M, Avila M. Hydrodynamic turbulence in quasi Keplerian rotating flows. <i>Physics of Fluids</i>. 2017;29(4). doi:<a href=\"https://doi.org/10.1063/1.4981525\">10.1063/1.4981525</a>","apa":"Shi, L., Hof, B., Rampp, M., &#38; Avila, M. (2017). Hydrodynamic turbulence in quasi Keplerian rotating flows. <i>Physics of Fluids</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.4981525\">https://doi.org/10.1063/1.4981525</a>","mla":"Shi, Liang, et al. “Hydrodynamic Turbulence in Quasi Keplerian Rotating Flows.” <i>Physics of Fluids</i>, vol. 29, no. 4, 044107, American Institute of Physics, 2017, doi:<a href=\"https://doi.org/10.1063/1.4981525\">10.1063/1.4981525</a>.","ista":"Shi L, Hof B, Rampp M, Avila M. 2017. Hydrodynamic turbulence in quasi Keplerian rotating flows. Physics of Fluids. 29(4), 044107.","chicago":"Shi, Liang, Björn Hof, Markus Rampp, and Marc Avila. “Hydrodynamic Turbulence in Quasi Keplerian Rotating Flows.” <i>Physics of Fluids</i>. American Institute of Physics, 2017. <a href=\"https://doi.org/10.1063/1.4981525\">https://doi.org/10.1063/1.4981525</a>."},"issue":"4","month":"04","article_number":"044107","department":[{"_id":"BjHo"}]},{"date_created":"2018-12-11T11:52:21Z","volume":12,"oa_version":"None","title":"Directed percolation phase transition to sustained turbulence in Couette flow","scopus_import":1,"day":"15","author":[{"id":"4787FE80-F248-11E8-B48F-1D18A9856A87","full_name":"Lemoult, Grégoire M","last_name":"Lemoult","first_name":"Grégoire M"},{"first_name":"Liang","last_name":"Shi","id":"374A3F1A-F248-11E8-B48F-1D18A9856A87","full_name":"Shi, Liang"},{"first_name":"Kerstin","last_name":"Avila","full_name":"Avila, Kerstin"},{"first_name":"Shreyas V","last_name":"Jalikop","id":"44A1D772-F248-11E8-B48F-1D18A9856A87","full_name":"Jalikop, Shreyas V"},{"full_name":"Avila, Marc","last_name":"Avila","first_name":"Marc"},{"full_name":"Hof, Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","orcid":"0000-0003-2057-2754","first_name":"Björn"}],"publication_status":"published","intvolume":"        12","abstract":[{"text":"Turbulence is one of the most frequently encountered non-equilibrium phenomena in nature, yet characterizing the transition that gives rise to turbulence in basic shear flows has remained an elusive task. Although, in recent studies, critical points marking the onset of sustained turbulence have been determined for several such flows, the physical nature of the transition could not be fully explained. In extensive experimental and computational studies we show for the example of Couette flow that the onset of turbulence is a second-order phase transition and falls into the directed percolation universality class. Consequently, the complex laminar–turbulent patterns distinctive for the onset of turbulence in shear flows result from short-range interactions of turbulent domains and are characterized by universal critical exponents. More generally, our study demonstrates that even high-dimensional systems far from equilibrium such as turbulence exhibit universality at onset and that here the collective dynamics obeys simple rules.","lang":"eng"}],"department":[{"_id":"BjHo"}],"month":"02","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"G. M. Lemoult, L. Shi, K. Avila, S. V. Jalikop, M. Avila, and B. Hof, “Directed percolation phase transition to sustained turbulence in Couette flow,” <i>Nature Physics</i>, vol. 12, no. 3. Nature Publishing Group, pp. 254–258, 2016.","short":"G.M. Lemoult, L. Shi, K. Avila, S.V. Jalikop, M. Avila, B. Hof, Nature Physics 12 (2016) 254–258.","ama":"Lemoult GM, Shi L, Avila K, Jalikop SV, Avila M, Hof B. Directed percolation phase transition to sustained turbulence in Couette flow. <i>Nature Physics</i>. 2016;12(3):254-258. doi:<a href=\"https://doi.org/10.1038/nphys3675\">10.1038/nphys3675</a>","apa":"Lemoult, G. M., Shi, L., Avila, K., Jalikop, S. V., Avila, M., &#38; Hof, B. (2016). Directed percolation phase transition to sustained turbulence in Couette flow. <i>Nature Physics</i>. Nature Publishing Group. <a href=\"https://doi.org/10.1038/nphys3675\">https://doi.org/10.1038/nphys3675</a>","mla":"Lemoult, Grégoire M., et al. “Directed Percolation Phase Transition to Sustained Turbulence in Couette Flow.” <i>Nature Physics</i>, vol. 12, no. 3, Nature Publishing Group, 2016, pp. 254–58, doi:<a href=\"https://doi.org/10.1038/nphys3675\">10.1038/nphys3675</a>.","chicago":"Lemoult, Grégoire M, Liang Shi, Kerstin Avila, Shreyas V Jalikop, Marc Avila, and Björn Hof. “Directed Percolation Phase Transition to Sustained Turbulence in Couette Flow.” <i>Nature Physics</i>. Nature Publishing Group, 2016. <a href=\"https://doi.org/10.1038/nphys3675\">https://doi.org/10.1038/nphys3675</a>.","ista":"Lemoult GM, Shi L, Avila K, Jalikop SV, Avila M, Hof B. 2016. Directed percolation phase transition to sustained turbulence in Couette flow. Nature Physics. 12(3), 254–258."},"issue":"3","language":[{"iso":"eng"}],"type":"journal_article","_id":"1494","date_updated":"2021-01-12T06:51:08Z","publisher":"Nature Publishing Group","doi":"10.1038/nphys3675","quality_controlled":"1","page":"254 - 258","publist_id":"5685","year":"2016","acknowledgement":"We thank P. Maier for providing valuable ideas and supporting us in the technical aspects. Discussions with D. Barkley, Y. Duguet, B. Eckhart, N. Goldenfeld, P. Manneville and K. Takeuchi are gratefully acknowledged. We acknowledge the Deutsche Forschungsgemeinschaft (Project No. FOR 1182), and the European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement 306589 for financial support. L.S. and B.H. acknowledge research funding by Deutsche Forschungsgemeinschaft (DFG) under Grant No. SFB 963/1 (project A8). Numerical simulations were performed thanks to the CPU time allocations of JUROPA in Juelich Supercomputing Center (project HGU17) and of the Max Planck Computing and Data Facility (Garching, Germany). Excellent technical support from M. Rampp on the hybrid code nsCouette is appreciated.","date_published":"2016-02-15T00:00:00Z","ec_funded":1,"publication":"Nature Physics","status":"public","project":[{"_id":"25152F3A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Decoding the complexity of turbulence at its origin","grant_number":"306589"},{"_id":"2511D90C-B435-11E9-9278-68D0E5697425","grant_number":"SFB 963  TP A8","name":"Astrophysical instability of currents and turbulences"}]},{"quality_controlled":"1","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1304.5446"}],"type":"journal_article","date_updated":"2021-01-12T07:00:00Z","_id":"2829","publisher":"American Physical Society","doi":"10.1103/PhysRevLett.110.204502","date_published":"2013-05-13T00:00:00Z","ec_funded":1,"project":[{"_id":"25152F3A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Decoding the complexity of turbulence at its origin","grant_number":"306589"},{"grant_number":"SFB 963  TP A8","name":"Astrophysical instability of currents and turbulences","_id":"2511D90C-B435-11E9-9278-68D0E5697425"}],"status":"public","publication":"Physical Review Letters","publist_id":"3970","external_id":{"arxiv":["1304.5446"]},"year":"2013","publication_status":"published","intvolume":"       110","abstract":[{"text":"Laminar-turbulent intermittency is intrinsic to the transitional regime of a wide range of fluid flows including pipe, channel, boundary layer, and Couette flow. In the latter turbulent spots can grow and form continuous stripes, yet in the stripe-normal direction they remain interspersed by laminar fluid. We carry out direct numerical simulations in a long narrow domain and observe that individual turbulent stripes are transient. In agreement with recent observations in pipe flow, we find that turbulence becomes sustained at a distinct critical point once the spatial proliferation outweighs the inherent decaying process. By resolving the asymptotic size distributions close to criticality we can for the first time demonstrate scale invariance at the onset of turbulence.","lang":"eng"}],"date_created":"2018-12-11T11:59:49Z","volume":110,"oa_version":"Preprint","title":"Scale invariance at the onset of turbulence in couette flow","author":[{"first_name":"Liang","id":"374A3F1A-F248-11E8-B48F-1D18A9856A87","full_name":"Shi, Liang","last_name":"Shi"},{"last_name":"Avila","full_name":"Avila, Marc","first_name":"Marc"},{"orcid":"0000-0003-2057-2754","first_name":"Björn","last_name":"Hof","full_name":"Hof, Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87"}],"day":"13","scopus_import":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"20","citation":{"mla":"Shi, Liang, et al. “Scale Invariance at the Onset of Turbulence in Couette Flow.” <i>Physical Review Letters</i>, vol. 110, no. 20, 204502, American Physical Society, 2013, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.110.204502\">10.1103/PhysRevLett.110.204502</a>.","apa":"Shi, L., Avila, M., &#38; Hof, B. (2013). Scale invariance at the onset of turbulence in couette flow. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.110.204502\">https://doi.org/10.1103/PhysRevLett.110.204502</a>","chicago":"Shi, Liang, Marc Avila, and Björn Hof. “Scale Invariance at the Onset of Turbulence in Couette Flow.” <i>Physical Review Letters</i>. American Physical Society, 2013. <a href=\"https://doi.org/10.1103/PhysRevLett.110.204502\">https://doi.org/10.1103/PhysRevLett.110.204502</a>.","ista":"Shi L, Avila M, Hof B. 2013. Scale invariance at the onset of turbulence in couette flow. Physical Review Letters. 110(20), 204502.","short":"L. Shi, M. Avila, B. Hof, Physical Review Letters 110 (2013).","ieee":"L. Shi, M. Avila, and B. Hof, “Scale invariance at the onset of turbulence in couette flow,” <i>Physical Review Letters</i>, vol. 110, no. 20. American Physical Society, 2013.","ama":"Shi L, Avila M, Hof B. Scale invariance at the onset of turbulence in couette flow. <i>Physical Review Letters</i>. 2013;110(20). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.110.204502\">10.1103/PhysRevLett.110.204502</a>"},"language":[{"iso":"eng"}],"oa":1,"article_number":"204502","department":[{"_id":"BjHo"}],"arxiv":1,"month":"05"}]