Toward a chaotic adjoint for LES
Fluid Dynamics
2017-02-23 v1 Chaotic Dynamics
Abstract
Adjoint-based sensitivity analysis methods are powerful tools for engineers who use flow simulations for design. However, the conventional adjoint method breaks down for scale-resolving simulations like large-eddy simulation (LES) or direct numerical simulation (DNS), which exhibit the chaotic dynamics inherent in turbulent flows. Sensitivity analysis based on least-squares shadowing (LSS) avoids the issues encountered by conventional methods, but has a high computational cost. The following report outlines a new, more computationally efficient formulation of LSS, non-intrusive LSS, and estimates its cost for several canonical flows using Lyapunov analysis.
Cite
@article{arxiv.1702.06809,
title = {Toward a chaotic adjoint for LES},
author = {Patrick J. Blonigan and Pablo Fernandez and Scott M. Murman and Qiqi Wang and Georgios Rigas and Luca Magri},
journal= {arXiv preprint arXiv:1702.06809},
year = {2017}
}