Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 395, Issue -, Pages 690-709Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.06.035
Keywords
Sensitivity analysis; Chaos; Adjoint methods; Shadowing methods; Non-intrusive formulation
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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 turbulent three-dimensional flow over a cylinder. (C) 2019 Elsevier Inc. All rights reserved.
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