Sensitivity analysis on chaotic dynamical systems by Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS)
Name
fdnilss_JCP-1.pdf
Description
Accepted version
Size
1.23 MB
Format
Adobe PDF
Checksum (MD5)
8fcee45dd9ad3dd90096e6db4a9c9b08
Author(s)
Ni, Angxiu
Wang, Qiqi
Fernández, Pablo
Talnikar, Chaitanya
Date Issued
2019
Journal
Journal of Computational Physics
Publisher
Elsevier BV
Version
Author's final manuscript
Abstract
© 2019 Elsevier Inc. We present the Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS) algorithm for computing sensitivities of long-time averaged quantities in chaotic dynamical systems. FD-NILSS does not require tangent solvers, and can be implemented with little modification to existing numerical simulation software. We also give a formula for solving the least-squares problem in FD-NILSS, which can be applied in NILSS as well. Finally, we apply FD-NILSS for sensitivity analysis of a chaotic flow over a 3-D cylinder at Reynolds number 525, where FD-NILSS computes accurate sensitivities and the computational cost is in the same order as the numerical simulation.
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.2019.06.004
