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Chaotic Orbits of Tumbling Ellipsoids in Viscous and Inviscid Fluids

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Original languageEnglish
Publication statusPublished - Nov 2018
Event71st Annual Meeting of the APS Division of Fluid Dynamics - Atlanta, United States
Duration: 18 Nov 201820 Nov 2018


Conference71st Annual Meeting of the APS Division of Fluid Dynamics
Abbreviated title71st APS DFD
CountryUnited States
Internet address


Aref(1993) showed that the dynamics of an immersed tri-axial ellipsoid should be chaotic under certain inviscid conditions. We use analytical and numerical methods to determine occurrence and conditions of chaotic orbits in viscous and inviscid environments. Our numerical work uses Gerris(Popinet et al, 2003) augmented with a fully-coupled solver for fluid-solid interaction with 6 degrees-of-freedom (6DOF). Its adaptive Cartesian mesh scores over traditional algorithms in convergence and also require fewer mesh adaption steps whilst using the immersed boundary method. For inviscid conditions, our numerical results agree with the solution of Kirchhoff’s equations. Our results show that chaos is a strong function of density ratio and the initial energy ratio even for inviscid environments. Using recurrence quantification (Marwanet al, 2007) methods, we also characterise chaos and identify regime shifts from being periodic to quasi-periodic to chaotic. In viscous systems, we have also noted evidence of chaotic orbits for symmetric ellipsoids. We will discuss vortex shedding behaviour in this context.

*EC-H2020-RISE-ThermaSMART-77810 and Nambia NCRST


71st Annual Meeting of the APS Division of Fluid Dynamics


Atlanta, United States

Event: Conference

ID: 88085605