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Adjoint Equations in Stability Analysis
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DOI：10.1146/annurev-fluid-010313-141253.png)
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摘要
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The objective of this article is to review some developments in the use of adjoint equations in hydrodynamic stability theory. Adjoint-based sensitivity analysis finds both analytical and numerical applications much beyond those originally imagined. It can be used to identify optimal perturbations, pinpoint the most receptive path to break down, select the most destabilizing base-flow defect in a nominally stable configuration, and map the structural sensitivity of an oscillator. We focus on two flow cases more closely: the noise-amplifying instability of a boundary layer and the global mode occurring in the wake of a cylinder. For both cases, the clever interpretation and use of direct and adjoint modes provide key insight into the process of the transition to turbulence.
Keyword:
sensitivity
receptivity
optimization
transient growth
optimal perturbation
global mode
structural sensitivity
flow control
期刊
IF:
30.2
论文数:
611
被引数:
1.9W
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