Adjoint sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Adjoint Shadowing (NILSAS)
Computational Physics
2019-07-24 v4 Chaotic Dynamics
Abstract
We develop the NILSAS algorithm, which performs adjoint sensitivity analysis of chaotic systems via computing the adjoint shadowing direction. NILSAS constrains its minimization to the adjoint unstable subspace, and can be implemented with little modification to existing adjoint solvers. The computational cost of NILSAS is independent of the number of parameters. We demonstrate NILSAS on the Lorenz 63 system and a weakly turbulent three-dimensional flow over a cylinder.
Cite
@article{arxiv.1801.08674,
title = {Adjoint sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Adjoint Shadowing (NILSAS)},
author = {Angxiu Ni and Chaitanya Talnikar},
journal= {arXiv preprint arXiv:1801.08674},
year = {2019}
}
Comments
34 pages, 11 figures. The adjoint shadowing direction which we compute is defined at arXiv:1807.05568