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Non-Intrusive Reduced-Order Modeling Based on Parametrized Proper Orthogonal Decomposition

Author

Listed:
  • Teng Li

    (Research Institute of Aero-Engine, Beihang University, Beijing 100191, China)

  • Tianyu Pan

    (Research Institute of Aero-Engine, Beihang University, Beijing 100191, China
    National Key Laboratory of Science and Technology on Aero-Engine Aero-Thermodynamics, Beihang University, Beijing 100191, China)

  • Xiangxin Zhou

    (College of Aerospace Engineering, Chongqing University, Chongqing 400044, China)

  • Kun Zhang

    (College of Aerospace Engineering, Chongqing University, Chongqing 400044, China)

  • Jianyao Yao

    (College of Aerospace Engineering, Chongqing University, Chongqing 400044, China)

Abstract

A new non-intrusive reduced-order modeling method based on space-time parameter decoupling for parametrized time-dependent problems is proposed. This method requires the preparation of a database comprising high-fidelity solutions. The spatial bases are extracted from the database through first-level proper orthogonal decomposition (POD). The algebraic relationship between the time trajectory/parameter positions and the projection coefficient is described by the linear superposition of the second-level POD bases (temporal bases) and the second-level projection coefficients (parameter-dependent coefficients). This decomposition strategy decouples the space-time parameter effects, providing a stable foundation for fast predictions of parametrized time-dependent problems. The mappings between the parameter locations and the parameter-dependent coefficients are approximated as Gaussian process regression (GPR) models. The accuracy and efficiency of the PPOD-ROM are demonstrated through two numerical examples: flows past a cylinder and turbine flows with a clocking effect.

Suggested Citation

  • Teng Li & Tianyu Pan & Xiangxin Zhou & Kun Zhang & Jianyao Yao, 2023. "Non-Intrusive Reduced-Order Modeling Based on Parametrized Proper Orthogonal Decomposition," Energies, MDPI, vol. 17(1), pages 1-22, December.
    • Handle: RePEc:gam:jeners:v:17:y:2023:i:1:p:146-:d:1308609
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