کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646071 | 1342080 | 2008 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Discrete approximation to the global spectrum of the tangent operator for flow past a circular cylinder Discrete approximation to the global spectrum of the tangent operator for flow past a circular cylinder](/preview/png/4646071.png)
This paper deals with the calculation of the discrete approximation to the full spectrum for the tangent operator for the stability problem of the symmetric flow past a circular cylinder. It is also concerned with the localization of the Hopf bifurcation in laminar flow past a cylinder, when the stationary solution loses stability and often becomes periodic in time. The main problem is to determine the critical Reynolds number for which a pair of eigenvalues crosses the imaginary axis. We thus present a divergence-free method, based on a decoupling of the vector of velocities in the saddle-point system from the vector of pressures, allowing the computation of eigenvalues, from which we can deduce the fundamental frequency of the time-periodic solution. The calculation showed that stability is lost through a symmetry-breaking Hopf bifurcation and that the critical Reynolds number is in agreement with the value presented in reported computations.
Journal: Applied Numerical Mathematics - Volume 58, Issue 8, August 2008, Pages 1159-1167