Phase Proper Orthogonal Decomposition of numerical data

ORAL

Abstract

We present a Proper Orthogonal Decomposition (POD) technique for describing the four-dimensional (spatial and temporal) behavior of unsteady turbulent flow. We name this technique Phase Proper Orthogonal Decomposition (Phase POD), which does not assume steady or periodic flow. As Phase POD includes all temporal-spatial information in the modes, purely spatial POD[1] and Spectral POD[2] are special cases of Phase POD. The modes of Phase POD will have the energy optimality including the temporal properties. We illustrate the method on an example of a unsteady cavity flow.

*This project has received funding from the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation program (grant agreement No 803419). The Department of Mechanical Engineering at the Technical University of Denmark is also acknowledged for their generous additional support in establishing the laboratory.

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Publication: 1. J.L. Lumley,The structure of inhomogeneous turbulent flows, Atomospheric Turbulence and Radio Wave Propagation 1967
2. A. Towne, O.T. Schmidt, and T. Colonius, Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis. Journal of Fluid Mechanics 2018

Presenters

  • Yisheng Zhang

    • Tech Univ of Denmark

Authors

  • Yisheng Zhang

    • Tech Univ of Denmark

  • Azur Hodzic

    • Tech Univ of Denmark
    • Technical University of Denmark

  • Fabien Evrard

    • Otto-Von-Guericke-University Magdeburg
    • Otto-von-Guericke-University Magdeburg
    • Chair of Mechanical Process Engineering, Otto-von-Guericke-Universität Magdeburg, Universitätplatz 2, 39106, Magdeburg, Germany

  • Clara M Velte

    • Tech Univ of Denmark
    • Technical University of Denmark
    • Technical University of Denmark - Dept. of Mech. Eng.