Back to Search
Start Over
Sensitivity analysis on chaotic dynamical systems by Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS)
- Source :
- Journal of Computational Physics, Volume 394, Pages 615-631, 2019
- Publication Year :
- 2017
-
Abstract
- 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.<br />Comment: 20 pages, 8 figures
Details
- Database :
- arXiv
- Journal :
- Journal of Computational Physics, Volume 394, Pages 615-631, 2019
- Publication Type :
- Report
- Accession number :
- edsarx.1711.06633
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jcp.2019.06.004