000014852 001__ 14852
000014852 005__ 20161115100204.0
000014852 04107 $$aeng
000014852 046__ $$k2016-08-21
000014852 100__ $$aTaira, Kunihiko
000014852 24500 $$aComplex network analysis of unsteady fluid flows

000014852 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014852 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014852 506__ $$arestricted
000014852 520__ $$2eng$$aUnsteady fluid flows have rich dynamics generated from the nonlinear interactions that take place over a broad range of spatial and temporal scales. We can view these interactions to be present between vortical elements in physical space or between modal structures in wave space. To characterize these interactions, the use of network analysis that combines graph theory, operator theory, and dynamical systems theory is considered in our work. We show that network theory is able to capture the important vortical or modal interactions present in the flow field to provide physical insights beyond those from conventional analyses. The current approach enables the identification of key interactions and the examination of the resilience of the global interaction network to external disturbances. Moreover, we can derive the sparsified dynamics models that preserve conservation properties, using concepts from graph theory. Applications of network-based analysis to vortex dynamics, turbulence, and separated flows are presented.

000014852 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014852 653__ $$a

000014852 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014852 720__ $$aTaira, Kunihiko
000014852 8560_ $$ffischerc@itam.cas.cz
000014852 8564_ $$s378195$$uhttps://invenio.itam.cas.cz/record/14852/files/TS.FS04-1.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 3173, code TS.FS04-1.04
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000014852 962__ $$r13812
000014852 980__ $$aPAPER