Sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Shadowing (NILSS)
Name
Wang_Sensitivity analysis.pdf
Description
Accepted version
Size
2.6 MB
Format
Adobe PDF
Checksum (MD5)
ab69c6a4e2b6ffa4471f76d9a0e961ee
Author(s)
Ni, Angxiu
Wang, Qiqi
Date Issued
2017
Journal
Journal of Computational Physics
Publisher
Elsevier BV
Citation
Sensitivity Analysis on Chaotic Dynamical System by Non-Intrusive Least Square Shadowing (Ni-Lss). 46th AIAA Fluid Dynamics Conference, 13-17 June 2016. 2016. AIAA - American Institute of Aeronautics and Astronautics.
Version
Author's final manuscript
Abstract
© 2017 Elsevier Inc. This paper develops the Non-Intrusive Least Squares Shadowing (NILSS) method, which computes the sensitivity for long-time averaged objectives in chaotic dynamical systems. In NILSS, we represent a tangent solution by a linear combination of one inhomogeneous tangent solution and several homogeneous tangent solutions. Next, we solve a least squares problem using this representation; thus, the resulting solution can be used for computing sensitivities. NILSS is easy to implement with existing solvers. In addition, for chaotic systems with many degrees of freedom but few unstable modes, NILSS has a low computational cost. NILSS is applied to two chaotic PDE systems: the Lorenz 63 system and a CFD simulation of flow over a backward-facing step. In both cases, the sensitivities computed by NILSS reflect the trends in the long-time averaged objectives of dynamical systems.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.JCP.2017.06.033
