Direct optimal growth analysis for timesteppers
Direct optimal growth analysis for timesteppers
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DOI：
10.1002/fld.1824
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发表时间：
2008-07-30
影响因子：
1.8
通讯作者：
Sherwin, S. J.
中科院分区：
文献类型：
--
作者：
Barkley, D.;Blackburn, H. M.;Sherwin, S. J.
描述了具有任意几何复杂性的流动的瞬态增长分析方法，特别是在不要求流动在流向上缓慢变化的情况下。重点是捕获由流向变化的流动中的局部对流稳定性引起的全球效应。该方法采用“时间步进方法”，其中修改非线性Navier-Stokes代码，为正演和伴随线性化方程提供演化算子。首先，给出了基本流量变量的基本数学处理。然后，详细介绍了时间步进方法中的内层代码修改和外层特征值和奇异值分解算法。最后给出了一些算例，并对此类大规模稳定性分析的实际应用提供了指导。版权所有(C) 2008约翰威利父子有限公司
Methods are described for transient growth analysis of flows with arbitrary geometric complexity, where in particular the flow is not required to vary slowly in the streamwise direction. Emphasis is on capturing the global effects arising from localized convective stability in streamwise-varying flows. The methods employ the 'timestepper's approach' in which a nonlinear Navier-Stokes code is modified to provide evolution operators for both the forward and adjoint linearized equations. First, the underlying mathematical treatment in primitive flow variables is presented. Then, details are given for the inner level code modifications and outer level eigenvalue and SVD algorithms in the timestepper's approach. Finally, some examples are shown and guidance provided on practical aspects of this type of large-scale stability analysis. Copyright (C) 2008 John Wiley & Sons, Ltd.