Sensitivity analysis on chaotic dynamical system by Non-Intrusive Least Square Shadowing (NILSS)

2016/11/30 by Angxiu Ni, Qiqi Wang · 2 citations
Physics and Astronomy · Computer Science · Mathematics · #physics.comp-ph #cs.CE #cs.NA #math.NA #nlin.CD

paper · pdf · doi:10.1016/j.jcp.2017.06.033

published as Journal of Computational Physics, Volume 347, Page 56-77, 2017 · 26 pages, 10 figures

arxiv created 2019/06/21 · arxiv updated 2019/06/26

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.

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