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11:15
15 mins
Spatially-localized time dependent solutions including turbulence and their interactions in 2D Kolmogorov flow
Yoshiki Hiruta, Toshiki Teramura, Sadayoshi Toh
Session: Instability and Transition 3
Session starts: Wednesday 26 August, 10:30
Presentation starts: 11:15
Room: Room A
Yoshiki Hiruta (Division of physics and astronomy, graduate school of science, Kyoto university, Kyoto, Japan)
Toshiki Teramura (Division of physics and astronomy, graduate school of science, Kyoto university, Kyoto, Japan)
Sadayoshi Toh (Division of physics and astronomy, graduate school of science, Kyoto university, Kyoto, Japan)
Abstract:
In 2D Kolmogorov flow in small aspect ratio domains, spatially-localized solutions such as kink, traveling or time-dependent kink-antikink pars coexist. However, the conservation of the flow rate in the y direction strongly restrict combination of localized solutions and their positioning. We find that by adding a homogeneous flow U y their positioning is controlled and each of localized solutions including a spatially-localized chaos is isolated. Numerical results suggest that these isolated solutions can be elements constructing a whole flow.