Reynolds-Averaged Navier-Stokes Modeling of Submerged Ogee Weirs
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Volume 144, Issue 1
Abstract
The present study documents the successful application of a Reynolds-averaged Navier-Stokes model with conventional turbulence closure to calculate discharge coefficients for submerged flow conditions at ogee-type weirs. The flow pattern downstream of submerged weirs is complex. At low submergence, there is a plunging jet and submerged hydraulic jump. At higher levels of submergence, the jet detaches from downstream of the crest and develops toward the free water surface. The results presented are of particular interest to the hydraulic engineer because they demonstrate that reliable results for the complex flow problem are achieved, but only with the use of a fine computational mesh. It is well known that the results of computational fluid dynamics (CFD) models are strongly mesh dependent, but extensive sensitivity analysis is often time-consuming and costly. Therefore, engineering practice relies on cases that have been tested extensively. For the mesh resolution, the present study recommends a nondimensional number that can be used as a reference for modeling flow over weirs. An important result for hydraulic engineering applications is that the minimum mesh resolution for submerged flows is completely different compared to nonsubmerged flows. The simulations are compared to physical experiments from the literature. With sufficient mesh resolution, an average relative error in capacity of 2% across the simulations is achieved for the finest mesh resolution compared to physical experiments.
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Acknowledgments
The authors would like to acknowledge the Norwegian Research Council and Energy Norway for supporting this study. It is conducted within the project ES519956 “FlomQ—A robust framework to reduce uncertainty in flood prediction.” Modeling in OpenFOAM and REEF3D was also done as part of this study. The setup was similar to that in STAR-CCM+ on the medium mesh resolution; however, further modeling with finer meshes was not done because of computational capacity restraints.
References
Casey, M., Wintergerste, T., and ERCOFTAC (2000). ERCOFTAC special interest group on “Quality and trust in industrial CFD”—Best practice guidelines version 1.0, ERCOFTAC, Paris.
Celik, I. B., Ghia, U., Roache, P. J., Freitas, C. J., Coleman, H., and Raad, P. E. (2008). “Procedure for estimation and reporting of uncertainty due to discretization in CFD applications.” J. Fluids Eng. Trans. ASME, 130(7), 0780011–0780014.
Chanel, P. G., and Doering, J. C. (2007). “An evaluation of computational fluid dynamics for spillway modelling.” 16th Australasian Fluid Mechanics Conf. (AFMC), Univ. of Queensland, Gold Coast, QLD, Australia, 1201–1206.
Chanel, P. G., and Doering, J. C. (2008). “Assessment of spillway modeling using computational fluid dynamics.” Can. J. Civ. Eng., 35(12), 1481–1485.
Courant, R., Friedrichs, K., and Lewy, H. (1967). “On partial difference equations of mathematical physics.” IBM J. Res. Develop., 11(2), 215–234.
Dargahi, B. (2006). “Experimental study and 3D numerical simulations for a free-overflow spillway.” J. Hydraul. Eng., 899–907.
FLOW-3D [Computer software]. Flow Science, Santa Fe, NM.
Fluent [Computer software]. ANSYS, Canonsburg, PA.
Gessler, D. (2005). “CFD modeling of spillway performance.” World Water and Environmental Resources Congress 2005, ASCE, Reston, VA, 1–10.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid (Vof) method for the dynamics of free boundaries.” J. Comput. Phys., 39(1), 201–225.
Johnson, M. C., and Savage, B. M. (2006). “Physical and numerical comparison of flow over ogee spillway in the presence of tailwater.” J. Hydraul. Eng., 1353–1357.
Kirkgoz, M. S., Akoz, M. S., and Oner, A. A. (2009). “Numerical modeling of flow over a chute spillway.” J. Hydraul. Res., 47(6), 790–797.
Kline, S., and McClintock, F. (1953). “Describing uncertainties in single-sample experiments.” Mech. Eng., 75(1), 3–8.
Launder, B. E., and Spalding, D. B. (1974). “The numerical computation of turbulent flows.” Comput. Methods Appl. Mech. Eng., 3(2), 269–289.
Maynord, S. T. (1985). General spillway investigation: Hydraulic model investigation, U.S. Army Corps of Engineers, Vicksburg, MI.
Menter, F. R. (1994). “Two-equation eddy-viscosity turbulence models for engineering applications.” AIAA J., 32(8), 1598–1605.
Nielsen, E. J., and Diskin, B. (2017). “High-performance aerodynamic computations for aerospace applications.” Parallel Comput., 64, 20–32.
Olsen, N. R. B., and Kjellesvig, H. M. (1998). “Three-dimensional numerical flow modelling for estimation of spillway capacity.” J. Hydraul. Res., 36(5), 775–784.
OpenFOAM version 2.3.1 [Computer software]. OpenFOAM Foundation, Ltd., London.
Pedersen, Ø., and Rüther, N. (2016). “Numerical modeling of submerged flow over ogee-weirs.” River Flow 2016, CRC Press, London, 249–256.
REEF3D version 16.05 [Computer software]. Dept. of Civil and Environmental Engineering, Norwegian Univ. of Science and Technology, Trondheim, Norway.
Roache, P. J., Ghia, K. N., and White, F. M. (1986). “Editorial policy statement on the control of numerical accuracy.” J. Fluid. Eng., 108(1), 2.
Savage, B. M., and Johnson, M. C. (2001). “Flow over ogee spillway: Physical and numerical model case study.” J. Hydraul. Eng., 640–649.
Shih, T. H., Liou, W. W., Shabbir, A., Yang, Z., and Zhu, J. (1995). “A new k-ϵ eddy viscosity model for high Reynolds number turbulent flows.” Comput. Fluids, 24(3), 227–238.
Slotnick, J., et al. (2014). “CFD vision 2030 study: A path to revolutionary computational aerosciences.”, NASA, Hanover, MD.
SSIIM [Computer software]. Dept. of Civil and Environmental Engineering, Norwegian Univ. of Science and Technology, Trondheim, Norway.
STAR-CCM+ version 10.02 [Computer software]. CD-adapco, Melville, NY.
Tullis, B. P. (2011). “Behavior of submerged ogee crest weir discharge coefficients.” J. Irrig. Drain. Eng., 677–681.
Tullis, B. P., and Neilson, J. (2008). “Performance of submerged ogee-crest weir head-discharge relationships.” J. Hydraul. Eng., 486–491.
USACE (U.S. Army Corps of Engineers). (1990). “Hydraulic design of spillways.”, Washington, DC.
USBR (U.S. Bureau of Reclamation). (1987). “Design of small dams.” Washington, DC.
Versteeg, H. K., and Malalasekera, W. (2007). An introduction to computational fluid dynamics, Pearson Education, Harlow, U.K.
Wilcox, D. C. (2006). Turbulence modeling for CFD, DCW Industries, La Canada, CA.
Zeng, J., Zhang, L., Ansar, M., Damisse, E., and González-Castro, J. (2016a). “Applications of computational fluid dynamics to flow ratings at prototype spillways and weirs. I: Data generation and validation.” J. Irrig. Drain. Eng., 04016072.
Zeng, J., Zhang, L., Ansar, M., Damisse, E., and González-Castro, J. (2016b). “Applications of computational fluid dynamics to flow ratings at prototype spillways and weirs. II: Framework for planning, data assessment, and flow rating.” J. Irrig. Drain. Eng., 04016073.
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Journal of Irrigation and Drainage Engineering
Volume 144 • Issue 1 • January 2018
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©2017 American Society of Civil Engineers.
History
Received: Apr 18, 2017
Accepted: Jul 25, 2017
Published online: Nov 8, 2017
Published in print: Jan 1, 2018
Discussion open until: Apr 8, 2018
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