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Towards a Chaotic Adjoint for LES

Accepted version
Peer-reviewed

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Conference Object

Change log

Authors

Blonigan, Patrick 
Fernandez, P 
Murman, SM 
Wang, Qiqi 
Rigas, G 

Abstract

Adjoint-based sensitivity analysis methods are powerful tools for engineers who use

ow simulations for design. However, the conventional adjoint method breaks down for scale-resolving simulations like large-eddy simulation (LES) or direct numerical simula- tion (DNS), which exhibit the chaotic dynamics inherent in turbulent ows. Sensitivity analysis based on least-squares shadowing (LSS) avoids the issues encountered by con- ventional methods, but has a high computational cost. The following report outlines a new, more computationally e cient formulation of LSS, non-intrusive LSS, and estimates its cost for several canonical ows using Lyapunov analysis.

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Journal Title

Conference Name

Center for Turbulence Research Proceedings of the Summer Program

Journal ISSN

Volume Title

Publisher

Sponsorship
Royal Academy of Engineering (RAEng)