A parametric and feasibility study for data sampling of the dynamic mode decomposition: range, resolution, and universal convergence states

• Published in: Nonlinear dynamics Vol. 107; no. 4; pp. 3683 - 3707
• Main Authors: Li, Cruz Y., Chen, Zengshun, Tse, Tim K. T., Weerasuriya, Asiri U., Zhang, Xuelin, Fu, Yunfei, Lin, Xisheng
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.03.2022
• Subjects: Automotive Engineering; Classical Mechanics; Control; Dynamical Systems; Engineering; Mechanical Engineering; Original Paper; Vibration; Sampling resolution; Sampling convergence; Dynamic mode decomposition; Large-eddies simulation; Turbulent free-shear flow; Reduced-order model

Scientific research and engineering practice often require the modeling and decomposition of nonlinear systems. The dynamic mode decomposition (DMD) is a novel Koopman-based technique that effectively dissects high-dimensional nonlinear systems into periodically distinct constituents on reduced-orde...