Model order reduction for a flow past a wall-mounted cylinder

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Authors

  • W. Stankiewicz Division of Virtual Engineering, Institute of Combustion Engines and Transport, Poznań University of Technology, Poland
  • K. Kotecki Division of Virtual Engineering, Institute of Combustion Engines and Transport, Poznań University of Technology, Poland
  • M. Morzyński Division of Virtual Engineering, Institute of Combustion Engines and Transport, Poznań University of Technology, Poland
  • R. Roszak Division of Virtual Engineering, Institute of Combustion Engines and Transport, Poznań University of Technology, Poland
  • W. Szeliga Faculty of Machines and Transportation, Poznań University of Technology, Poland

Abstract

Reduced order models allow quickly predict fluid behaviour and to better understand flow phenomena. They are the key enablers of closed-loop flow control. In this paper, reduced-order model (ROM) of an incompressible flow around a wall-mounted cylinder is constructed, by means of Galerkin projection of Navier–Stokes equations onto space spanned by the most dominant eigenmodes of dynamic mode decomposition (DMD). Additionally, genetic algorithm-based calibration is applied to improve the predictive performance of the model. The resulting low-dimensional model of the flow consists of six degrees of freedom and precisely reproduces the dynamics of limit cycle oscillations.

Keywords:

ROM, Galerkin Projection, DMD, CFD