Premium
The method of dynamic mode decomposition in shallow water and a swirling flow problem
Author(s) -
Bistrian Diana A.,
Navon Ionel M.
Publication year - 2016
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4257
Subject(s) - dynamic mode decomposition , mode (computer interface) , flow (mathematics) , decomposition , selection (genetic algorithm) , algorithm , computational fluid dynamics , amplitude , computer science , control theory (sociology) , mathematics , mathematical optimization , mechanics , physics , artificial intelligence , geometry , optics , ecology , control (management) , biology , operating system
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.