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Finite-Volume High-Fidelity Simulation Combined with Finite-Element-Based Reduced-Order Modeling of Incompressible Flow Problems

Author

Listed:
  • M. Salman Siddiqui

    (Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway)

  • Eivind Fonn

    (CSE Group, Mathematics and Cybernetics, Sintef Digital, NO-7034 Trondheim, Norway)

  • Trond Kvamsdal

    (Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway)

  • Adil Rasheed

    (CSE Group, Mathematics and Cybernetics, Sintef Digital, NO-7034 Trondheim, Norway)

Abstract

We present a nonintrusive approach for combining high-fidelity simulations using Finite-Volume (FV) methods with Proper Orthogonal Decomposition (POD) and Galerkin Reduced-Order Modeling (ROM) methodology. By nonintrusive we here imply an approach that does not need specific knowledge about the high-fidelity Computational Fluid Dynamics (CFD) solver other than the velocity and pressure results given on an element mesh representing the related discrete interpolation spaces. The key step in the presented approach is the projection of the FV results onto suitable finite-element (FE) spaces and then use of classical POD Galerkin ROM framework. We do a numerical investigation of aerodynamic flow around an airfoil cross-section (NACA64) at low Reynolds number and compare the ROM results obtained with high-fidelity FV-generated snapshots against similar high-fidelity results obtained with FE using Taylor–Hood velocity and pressure spaces. Our results show that we achieve relative errors in the range of 1–10% in both H 1 -seminorm of the computed velocities and in the L 2 -norm of the computed pressure with reasonably few ROM modes. Similar accuracy was obtained for lift and drag.

Suggested Citation

  • M. Salman Siddiqui & Eivind Fonn & Trond Kvamsdal & Adil Rasheed, 2019. "Finite-Volume High-Fidelity Simulation Combined with Finite-Element-Based Reduced-Order Modeling of Incompressible Flow Problems," Energies, MDPI, vol. 12(7), pages 1-23, April.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:7:p:1271-:d:219379
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    Citations

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    Cited by:

    1. Siddiqui, M. Salman & Khalid, Muhammad Hamza & Zahoor, Rizwan & Butt, Fahad Sarfraz & Saeed, Muhammed & Badar, Abdul Waheed, 2021. "A numerical investigation to analyze effect of turbulence and ground clearance on the performance of a roof top vertical–axis wind turbine," Renewable Energy, Elsevier, vol. 164(C), pages 978-989.
    2. Claire E. Heaney & Andrew G. Buchan & Christopher C. Pain & Simon Jewer, 2021. "Reduced-Order Modelling Applied to the Multigroup Neutron Diffusion Equation Using a Nonlinear Interpolation Method for Control-Rod Movement," Energies, MDPI, vol. 14(5), pages 1-27, March.
    3. Mahdi Erfanian Nakhchi & Shine Win Naung & Mohammad Rahmati, 2023. "Direct Numerical Simulations of Turbulent Flow over Low-Pressure Turbine Blades with Aeroelastic Vibrations and Inflow Wakes," Energies, MDPI, vol. 16(6), pages 1-21, March.

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