Sensitivity analysis on chaotic dynamical system by Non-Intrusive Least Square Shadowing (NILSS)
Computational Physics
2019-06-26 v9 Computational Engineering, Finance, and Science
Numerical Analysis
Numerical Analysis
Chaotic Dynamics
Abstract
This paper develops the non-intrusive formulation of the Least-squares shadowing (LSS) method, for computing the sensitivity of long-time averaged objectives in chaotic dynamical systems. This non-intrusive formulation constrains the computation to only the unstable subspace, greatly reducing the cost of LSS for many problems; moreover, it reparametrizes the LSS problem, requiring only minor modifications to existing tangent solvers. NILSS is demonstrated on a chaotic flow over a backward-facing step simulated with a mesh of 12e3 cells.
Keywords
Cite
@article{arxiv.1611.00880,
title = {Sensitivity analysis on chaotic dynamical system by Non-Intrusive Least Square Shadowing (NILSS)},
author = {Angxiu Ni and Qiqi Wang},
journal= {arXiv preprint arXiv:1611.00880},
year = {2019}
}
Comments
26 pages, 10 figures