Abstract
Direct numerical simulation (DNS) was performed for the first time to study the flow over a backward-facing step at a high Reynolds number on a coarse grid. The flow over backward-facing step is the typical turbulent flow controlled by large eddy, in which the effect of small eddy could be negligible as an approximation. The grid dimension could easily satisfy the resolution requirement to describe the characteristics of a large eddy flow. Therefore, direct numerical simulation of N-S equations to obtain the turbulent flow field on the coarse grid could be realized. Numerical simulation of a two-dimensional flow over a backward-facing step at a Reynolds number Re=44000 was conducted using Euler-Lagrange finite element scheme based on the efficient operator-splitting method (OSFEM). The flow field was descretized by triangle meshes with 16669 nodes. The overall computational time only took 150 min on a PC. Both the characteristics of time-averaged and instantaneous turbulent flow were simultaneously obtained. The analysis showed that the calculated results were in good agreement with the test data. Hence, the DNS approach could become the reality to solve the complex turbulent flow with high Reynolds numbers in practical engineering.
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References
Orszag S A, Patterson G S. Numerical simulation of three-dimensional homogeneous isotropic turbulence. Phys Rev Lett, 1972, 28: 76–79
Rogallo R S. Numerical experiments inhomogeneous turbulence. NASA TM-81315, 1981
Rogallo R S, Moin P. Numerical simulation of turbulent flows. Annu Rev Fluid Mech, 1984, 16: 99–137
Moser R D, Moin P. The effects of curvature in wall-bounded turbulent flows. J Fluid Mech, 1987, 175: 479–510
Spalart P R. Numerical study of sink-flow boundary layers. J Fluid Mech, 1986, 172: 307–28
Spalart P R. Direct numerical simulation of a turbulent boundary layer up to R θ=1410. J Fluid Mech, 1988, 187: 61–98
Hung L, Parviz M, John K. Direct numerical simulation of turbulent flow over a backward-facing step. J Fluid Mech, 1997, 330: 349–374
Sengupta K, Mashayek F, Jacobs B. Direct numerical simulation of turbulent flows using spectral methods. 46th AIAA Aerospace Sciences Meeting and Exhibit, 7–10 January 2008, Reno, Nevada
Moin P, Mahesh K. A tool in turbulence research. Annu Rev Fluid Mech, 1998, 30: 539–78
Wengle H, Huppertz A, Bärwolffc G, et al. The manipulated transitional backward-facing step flow: An experimental and direct numerical simulation investigation. Eur J Mech B-Fluids, 2001, 20: 25–46
Lele S K. Compact finite-difference schemes with spectral-like resolution. J Comp Phys, 1992, 103:16–42
Ting T S, Prakash M, Cleary P W, et al. Simulation of high Reynolds number flow over a backward facing step using SPH. ANZIAM, 2006, 47(FNA): 292–309
Ding D Y, Wu S Q. Numerical application of κ-ε turbulence model to flow over a backward-facing step. Sci China Tech Sci, 2010, 53(10): 2817–2825
Zijlema M, Segal A, Wesseling P. Finite Volume Computation of 2D Incompressible Turbulent Flows in General Coordinates on Staggered Grids. Report 1994–24, Delft University of Technology
Kim J, Kline S J, Johnston J P. Investigation of a reattaching turbulent shear layer: Flow a backward-facing step. ASME J Fluids Eng, 1980, 102: 302–308
Ding D Y, Zhen P X. Numerical Simulation of Cooling Water for Yangzhou Power Plant. Technical Report, Nanjing Hydraulic Research Institute, Report No. H8837. 1988
Ding D Y, Wu S Q. Study on three-dimensional numerical model for shallow water flow (in Chinese). Eng Sci, 2010, 2(2): 33–40
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Ding, D., Wu, S. Direct numerical simulation of turbulent flow over backward-facing at high Reynolds numbers. Sci. China Technol. Sci. 55, 3213–3222 (2012). https://doi.org/10.1007/s11431-012-5006-3
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DOI: https://doi.org/10.1007/s11431-012-5006-3