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Modal decomposition‐based global stability analysis for reduced order modeling of 2D and 3D wake flows
Author(s) -
Stankiewicz Witold,
Morzyński Marek,
Kotecki Krzysztof,
Roszak Robert,
Nowak Michał
Publication year - 2015
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.4181
Subject(s) - dynamic mode decomposition , wake , galerkin method , interpolation (computer graphics) , flow (mathematics) , stability (learning theory) , mathematics , potential flow , cylinder , computational fluid dynamics , mathematical analysis , mode (computer interface) , modal , navier–stokes equations , computation , mechanics , physics , geometry , classical mechanics , finite element method , computer science , algorithm , motion (physics) , chemistry , machine learning , polymer chemistry , thermodynamics , operating system , compressibility
Summary The method for computation of stability modes for two‐ and three‐dimensional flows is presented. The method is based on the dynamic mode decomposition of the data resulting from DNS of the flow in the regime close to stable flow (fixed‐point dynamics, small perturbations about steady flow). The proposed approach is demonstrated on the wake flows past a 2D, circular cylinder, and a sphere. The resulting modes resemble the eigenmodes computed conventionally from global stability analysis and are used in model order reduction of the flow. The designed low‐dimensional Galerkin model uses continuous mode interpolation between dynamic mode decomposition mode bases and reproduces the dynamics of Navier–Stokes equations. Copyright © 2015 John Wiley & Sons, Ltd.