期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 394, 期 -, 页码 615-631出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.06.004
关键词
Sensitivity analysis; Chaotic dyanmical systems; Shadowing lemma; Least squares shadowing; Non-intrusive formulation; Computational fluid dynamics
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. (C) 2019 Elsevier Inc. All rights reserved.
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