Reconstruction of the Most Energetic Modes in a Fully Developed Turbulent Channel Flow with Density Variation
Proper orthogonal decomposition (POD) is used to reconstruct spatio-temporal data of a fully developed turbulent channel flow with density variation at Reynolds number of 150, based on the friction velocity and the channel half-width, and Prandtl number of 0.71. To apply POD to the fully developed turbulent channel flow with density variation, the flow field (velocities, density, and temperature) is scaled by the corresponding root mean square values (rms) so that the flow field becomes dimensionless. A five-vector POD problem is solved numerically. The reconstructed second-order moments of velocity, temperature, and density from POD eigenfunctions compare favorably to the original Direct Numerical Simulation (DNS) data.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1059930Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1014
 Lumley, J. L. (1967) The Structure of Inhomogeneous Turbulent Flows. In Atmospheric Turbulence and Radio Wave Propagation (A.M. Yaglom and V.I. Takarski, eds.), pp. 166-178. Moscow: Nauka.
 Lumley, J. L. (1972) Stochastic Tools in Turbulence. New York: Academic Press.
 Lumley, J. L. (1981) Coherent Structures in Turbulence. In Transition and Turbulence (R.E. Meyer, ed.), pp. 215-242. New York: Academic Press.
 Sirovich, L. (1987) Turbulence and the Dynamics of Coherent Structures, parts I-III., Q. Appl. Maths XLV (3), pp. 561-590.
 Holmes, P. Lumley, J. L. and Berkooz, G. (1996) Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge University Press.
 Hasan Nadeem and Sanghi Sanjeev (2007) Proper Orthogonal Decomposition and Low-dimensional Modelling of Thermally Driven Twodimensional Flow in a Horizontal Rotating Cylinder, J. Fluid Mech. Vol. 573, pp. 265-295.
 Lumley, J. L. and Poje, A. (1997) Low-dimensional Models for Flows with Density Fluctuations, Phys. Fluids 9, pp. 2023-2031.
 Ohta, T. Mizobata, K. and Kajishima, T. (2006) Influence of Density Fluctuation on DNS of Turbulent Channel Flow in The Presence of Temperature Stratification, In Proc. of The 5th Int. Symp. on Turbulence, Heat and Mass Transfer - Dubrovnik, Croatia, September 25-29.
 Ohta, T. Nakamura, K. Mizobata, K. and Kajishima, T. (2007) DNS of Turbulent Channel Flow with Density Variation Under Some Conditions of Unstable Stratification, In Proc. of HT2007 ASME-JSME Thermal Engineering Summer Heat Transfer Conference, July 8-12, Vancouver, British Columbia, Canada.