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Advanced Topics in Turbulence Theory

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Advances in Hypersonics

Part of the book series: Progress in Scientific Computing ((PSC,volume 8/9))

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Abstract

One presents the spectral two-point closure point of view of turbulence theory. In the three-dimensional incompressible isotropic case, it is shown how these closures lead, in the inviscid limit, to singularities of the vorticity field at a finite time. A theory of non local interactions is developed, which allows to derive a parameterization of the subgrid scales for large-eddy simulations.

Results of direct or large-eddy simulations utilizing the above subgrid-scale parameterization are presented for three-dimensional isotropic turbulence or for a temporally growing mixing layer forced initially with a random perturbation. Two-dimensional calculations of various incompressible and compressible free shear flows are also presented.

Finally, the role of compressibility on the dynamics of the coherent structures in free shear flows is examined.

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Lesieur, M. (1992). Advanced Topics in Turbulence Theory. In: Bertin, J.J., Periaux, J., Ballmann, J. (eds) Advances in Hypersonics. Progress in Scientific Computing, vol 8/9. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0371-1_2

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  • DOI: https://doi.org/10.1007/978-1-4612-0371-1_2

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6730-0

  • Online ISBN: 978-1-4612-0371-1

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