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- W94908547 abstract "Flow past a circular cylinder looses stability at a Reynolds number,$Re sim 47$. It has been shown, in the past, that the linear stability analysis (LSA) of the steady state solution can predict not only the critical$Re$, but also the non-dimensional frequency,$St$, of the associated instability. For larger$Re$ the non-linear effects become important and the LSA of the steady-state flow does not predict the correct$St$. It is shown that, in general, the LSA applied to the time-averaged flow can result in useful information regarding its stability. This idea is applied to the$Re=100$ flow past a circular cylinder. The LSA of the time-averaged flow results in the correct value of$St$. Proper Orthogonal (POD) or Karhunen-Lo'{e}ve (K-L) decomposition of the unsteady flow using the snapshot method is also carried out. The modes from this decomposition are compared to the unstable modes computed using the LSA." @default.
- W94908547 created "2016-06-24" @default.
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- W94908547 date "2008-04-01" @default.
- W94908547 modified "2023-09-25" @default.
- W94908547 title "Linear Stability Analysis of Time-Averaged Flow Past a Cylinder" @default.
- W94908547 doi "https://doi.org/10.3970/cmes.2008.027.063" @default.
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