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Incompressible Homogeneous Buoyancy-Driven Turbulence

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Turbulent Cascades II

Part of the book series: ERCOFTAC Series ((ERCO,volume 26))

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Abstract

We review recent results concerning the idealized framework of incompressible homogeneous buoyancy-driven turbulence, shedding light on the mixing process occurring in variable density fluids subjected to accelerations. Self-similar analysis, results from numerical simulations and anisotropic spectral models establish the sensitivity of the late time dynamics to the distribution of energy at large scales, to the different properties of the mixing and to the resonances inside the mixing zone when a time-varying acceleration is applied. The isotropic and anisotropic part of turbulent spectra are also investigated. Different scenarii are proposed to explain how the turbulent scales within the inertial range are altered by buoyancy forces.

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Notes

  1. 1.

    Corresponding respectively to constant, impulsive or oscillating accelerations.

  2. 2.

    Assuming the mean density profile is linear inside the mixing zone.

  3. 3.

    The limitation in SHT simulations principally comes from the growth of the integral scale but not the mixing zone width which is modelled contrary to classical mixing layer simulations.

  4. 4.

    Special SHT case with a constant destabilizing accelerations \(G_0\).

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Authors and Affiliations

  1. CEA, DAM, DIF, 91297, Arpajon, France

    Benoît-Joseph Gréa & Olivier Soulard

Authors
  1. Benoît-Joseph Gréa
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  2. Olivier Soulard
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Correspondence to Benoît-Joseph Gréa .

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Editors and Affiliations

  1. Laboratoire de Mécanique des Fluides et d’Acoustique CNRS, Université de Lyon, École centrale de Lyon, Écully, France

    Mikhael Gorokhovski

  2. Laboratoire de Mécanique des Fluides et d’Acoustique CNRS, Université de Lyon, École centrale de Lyon, Écully, France

    Fabien S. Godeferd

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Gréa, BJ., Soulard, O. (2019). Incompressible Homogeneous Buoyancy-Driven Turbulence. In: Gorokhovski, M., Godeferd, F. (eds) Turbulent Cascades II. ERCOFTAC Series, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-030-12547-9_13

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  • DOI: https://doi.org/10.1007/978-3-030-12547-9_13

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