The method of dynamic mode decomposition in shallow water and a swirling flow problem. (16th June 2016)

• Record Type: Journal Article
• Authors: Bistrian, Diana A.; Navon, Ionel M.
• Is Part Of: International journal for numerical methods in fluids. Volume 83:Number 1(2017)
• Page Start: 73
• Page End: 89
• Publication Date: 2016-06-16
• Subjects: dynamic mode decomposition -- reduced order modeling -- shallow water equations -- unsteady swirling flows; Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.4257
• Languages: English
• ISSNs: 0271-2091

Abstract

Summary: In this paper, a new vector‐filtering criterion for dynamic modes selection is proposed that is able to extract dynamically relevant flow features from dynamic mode decomposition of time‐resolved experimental or numerical data. We employ a novel modes selection criterion in parallel with the classic selection based on modes amplitudes, in order to analyze which of these procedures better highlight the coherent structures of the flow dynamics. Numerical tests are performed on two distinct problems. The efficiency of the proposed criterion is proved in retaining the most influential modes and reducing the size of the dynamic mode decomposition model. By applying the proposed filtering mode technique, the flow reconstruction error is shown to be significantly reduced. Copyright © 2016 John Wiley & Sons, Ltd. Abstract : We propose a new criterion for dynamic modes selection that is able to extract dynamically relevant flow features from dynamic mode decomposition of time‐resolved experimental or numerical data. We employ a novel modes selection criterion in parallel with the classic selection based on modes amplitudes. Numerical tests are performed on two distinct problems. The efficiency of the proposed criterion is proved in retaining the most influential modes and reducing the size of the dynamic mode decomposition model.