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Numerical Simulation of Turbulent Flows

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Computational Fluid Dynamics

Abstract

Numerical simulations of turbulent flows can be performed to capture (1) the temporal fluctuations and (2) the time-averaged features in the flow field. For example, let us consider a simulated flow through an asymmetric diffuser . The three-dimensional instantaneous flow field obtained from numerically solving the Navier–Stokes equations [36] is shown in Fig. 6.1. The computation captures flow separation and the existence of the recirculation zone in the diffuser. The streamwise velocity profiles from the computation are compared to experimental measurements in Fig. 6.2.

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Notes

  1. 1.

    Additional discussion on dimensional analysis can be found in Problem 6.1.

  2. 2.

    The lowest wave number is determined by the computational domain size and the highest cutoff wave number is determined by grid resolution.

  3. 3.

    See Problem 6.4.

  4. 4.

    The 3D printed model of the vortices around a pitching wing shown in Fig. 1.1 is generated with the Q-value isosurface.

  5. 5.

    Also known as the principal component analysis (PCA) and the Karhunen-Loève expansion.

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Authors and Affiliations

  1. Osaka University, Suita, Osaka, Japan

    Takeo Kajishima

  2. Florida State University, Tallahassee, FL, USA

    Kunihiko Taira

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  1. Takeo Kajishima
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  2. Kunihiko Taira
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Correspondence to Takeo Kajishima or Kunihiko Taira .

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Kajishima, T., Taira, K. (2017). Numerical Simulation of Turbulent Flows. In: Computational Fluid Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-45304-0_6

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  • DOI: https://doi.org/10.1007/978-3-319-45304-0_6

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