Abstract
Grid-generated turbulence is an old but open topic: for instance its spatial decay rate of energy is still being vigorously discussed. It is relevant to turbulence modeling but also related to mechanical and engine design. The influence of grid geometry on the dissipation tensor, in particular on the range and exponent of “self-similar” turbulent energy decay is now studied, using square rods and square grid mesh, via direct numerical simulations by a lattice BGK method at Re M =1400. Four different blockage ratios are compared. A clear picture is obtained concerning the spatial distribution and self-similarity of the dissipation tensor, including anisotropy decay and dissipation rate. The expected axisymmetry is confirmed excellently. The differences in magnitudes of individual dissipation tensor components are only recognizable very close to the grid, where a strong dependence on grid porosity, β, is also found, in terms of anisotropy and dissipation rate. The spatial decay of dissipation rate can be described by a power law with decay exponent ≈3.0 for x/M>10 independent of β. A β-dependent normalization is proposed, which improves dramatically data collapse in that x/M range.
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References
G. Comte-Bellot, S. Corrsin, The use of a contraction to improve the isotropy of grid generated turbulence. J. Fluid Mech. 25, 657 (1966)
N.P. Mikhailova, E.U. Repik, P.Y. Sosedko, Scale-f grid and Honeycomb-generated turbulence. Fluid Dyn. 36, 69–79 (2000)
L. Djenidi, Lattice Boltzmann simulations of grid-generated turbulence. J. Fluid Mech. 552, 13–35 (2006)
J.N. Gence, Homogeneous turbulence. Annu. Rev. Fluid Mech. 15, 201–222 (1983)
U. Frisch, D. d’Humires, Y. Pomeau, Lattice-gas automata for the Navier-Stokes equation. Phys. Rev. Lett. 56, 1505–1508 (1986)
D.A.W. Gladrow, Lattice-Gas Cellular Automata and Lattice Boltzmann Models (Springer, Berlin, 2000)
P. Lallemand, L.S. Luo, Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. Lett. 61-6, 6546–6562 (2000)
P. Schlatter, N.A. Adams, L. Kleiser, A windowing method for periodic inflow-outflow boundary treatment for non-periodic flows. J. Comput. Phys. 206, 505–535 (2005)
E.M. Laws, J.L. Livesey, Flow through screens. Annu. Rev. Fluid Mech. 10, 247–266 (1966)
P.E. Dimotakis, Turbulent mixing. Annu. Rev. Fluid Mech. 37, 329–356 (2005)
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© 2009 Springer-Verlag Berlin Heidelberg
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Özyilmaz, N., Beronov, K.N., Delgado, A. (2009). Characterization of the Dissipation Tensor from DNS of Grid-Generated Turbulence. In: Wagner, S., Steinmetz, M., Bode, A., Brehm, M. (eds) High Performance Computing in Science and Engineering, Garching/Munich 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69182-2_25
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DOI: https://doi.org/10.1007/978-3-540-69182-2_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69181-5
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