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Simulations of Hypersonic Boundary-Layer Transition over a Flat Plate with the Spalart-Allmaras One-Equation BCM Transitional Model

Author

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  • Yu Chen

    (School of Mechanical and Mining Engineering, The University of Queensland, Brisbane, QLD 4072, Australia)

  • Nick Gibbons

    (School of Mechanical and Mining Engineering, The University of Queensland, Brisbane, QLD 4072, Australia)

Abstract

Transitional flow has a significant impact on vehicles operating at supersonic and hypersonic speeds. An economic way to simulate this problem is to use computational fluid dynamics (CFD) codes. However, not all CFD codes can solve transitional flows. This paper examines the ability of the Spalart–Allmaras one-equation BCM (SA-BCM) transitional model to solve hypersonic transitional flow, implemented in the open-source CFD code Eilmer. Its performance is validated via existing wind tunnel data. Eight different hypersonic flow conditions are applied. A flat plate model is built for the numerical tests. The results indicate that the existing SA-BCM model is sensitive to the freestream turbulence intensity and the grid size. It is not accurate in all the test cases, though the transitional length can be matched by tuning the freestream intensity. This is likely due to the intermittency term of the SA-BCM model not being appropriately calibrated for high-velocity flow, though if the model can be recalibrated it may be able to solve the general high-velocity flows. Although the current SA-BCM model is only accurate under certain flow conditions after one calibration process, it remains attractive to CFD applications. As a one-equation model, the SA-BCM model runs much faster than multiple-equation flow models.

Suggested Citation

  • Yu Chen & Nick Gibbons, 2022. "Simulations of Hypersonic Boundary-Layer Transition over a Flat Plate with the Spalart-Allmaras One-Equation BCM Transitional Model," Mathematics, MDPI, vol. 10(19), pages 1-25, September.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3431-:d:920961
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    References listed on IDEAS

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    1. Jan Michna & Krzysztof Rogowski & Galih Bangga & Martin O. L. Hansen, 2021. "Accuracy of the Gamma Re-Theta Transition Model for Simulating the DU-91-W2-250 Airfoil at High Reynolds Numbers," Energies, MDPI, vol. 14(24), pages 1-29, December.
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