Abstract
The Lie group or symmetry approach applied to turbulence as developed by Oberlack [1] is used to derive new scaling laws for various statistical quantities of a zero pressure gradient (ZPG) turbulent boundary layer flow. For this purpose the approach was applied to the two-point correlation (TPC) equations to find their symmetry groups and thereof to derive invariant solutions (scaling laws). For the verification of these new scaling laws three direct numerical simulations (DNS) at Reθ = 810, 2240, 2500 were performed using a spectral method with up to 538 million grid points.
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References
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Oberlack, M., Khujadze, G. (2008). New One- and Two-Point Scaling Laws in Zero Pressure Gradient Turbulent Boundary Layer Flow. In: Kaneda, Y. (eds) IUTAM Symposium on Computational Physics and New Perspectives in Turbulence. IUTAM Bookseries, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6472-2_39
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DOI: https://doi.org/10.1007/978-1-4020-6472-2_39
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6471-5
Online ISBN: 978-1-4020-6472-2
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