Global stability of separated flows: subsonic flow past corners Global stability of separated flows
Global stability of separated flows: subsonic flow past corners Global stability of separated flows
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分离流的全局稳定性：经过拐角的亚音速流 分离流的全局稳定性
DOI：
10.1007/s00162-010-0198-2
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发表时间：
2010
影响因子：
3.4
通讯作者：
Logue R
中科院分区：
文献类型：
--
作者：
Logue R
本文采用一种新的数值方法求解亚音速定常流的三层方程组，该方法是在垂直于物体的方向上采用Chebychev配点法，在沿流动的沿着方向上采用有限差分法。得到的一组非线性代数方程求解牛顿线性化和使用GMRES方法的线性方程组的解决方案。然后，使用全局稳定性分析来检查计算的稳定流的稳定性。研究发现，对于小的转角，Tollmien-Schlichting模式是全局不稳定的，这些坚持到较大的转角。多个稳定状态的解决方案也存在超过一个临界角，但这些都是全局不稳定的，因为存在的Tollmien-Schlichting模式。
The triple-deck equations for the steady subsonic flow past a convex corner are solved numerically using a novel technique based on Chebychev collocation in the direction normal to the body combined with finite differences in the direction along the flow. The resulting set of nonlinear algebraic equations are solved with Newton linearization and using the GMRES method for the solution of the linear system of equations. The stability of the computed steady flows is then examined using global stability analysis. It is found that for small corner angles, the Tollmien–Schlichting modes are globally unstable and these persist to larger corner angles. Multiple steady state solutions also exist beyond a critical corner angle but these are globally unstable because of the presence of the Tollmien–Schlichting modes.