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arXiv · 1912.11806

Bifurcation analysis of a density oscillator using two-dimensional hydrodynamic simulation

Nana Takeda·Naoko Kurata·Hiroaki Ito·Hiroyuki Kitahata
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Abstract

A density oscillator exhibits limit-cycle oscillations driven by the density difference of the two fluids. We performed two-dimensional hydrodynamic simulations with a simple model, and reproduced the oscillatory flow observed in experiments. As the density difference is increased as a bifurcation parameter, a damped oscillation changes to a limit-cycle oscillation through a supercritical Hopf bifurcation. We estimated the critical density difference at the bifurcation point and confirmed that the period of the oscillation remains finite even around the bifurcation point.

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Nana Takeda, Naoko Kurata, Hiroaki Ito, Hiroyuki Kitahata. 2020-05-08. Bifurcation analysis of a density oscillator using two-dimensional hydrodynamic simulation. https://doi.org/10.1103/physreve.101.042216

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