Adjoint Equations in Stability Analysis
By Paolo Luchini, Alessandro Bottaro. 2014
333 citations recorded by the source corpus.
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.
Subfields: Computational Mechanics, Environmental Engineering
View Paper: https://www.semanticscholar.org/paper/6e017f27493d97edb0fccd4256becd019c389a18
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In Computational Mechanics
In Environmental Engineering
Citations in the corpus
- Optimization of wind plant layouts using an adjoint approach (2017, background): “Reviews of adjoint techniques in various flow control and optimization applications have been published by Jameson (2003), Giles and Pierce (2000), Giannakoglou and Papadimitriou (2008), and Luchini and Bottaro (2014).”