Numerical Simulation of Contraction Scour in an Open Laboratory Channel
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 4
Abstract
A finite-volume computer code developed at the Institute for Hydromechanics, University of Karlsruhe, has been used to calculate the flow and sediment transport in a laboratory channel with constriction and movable bed. The flow is calculated by solving the fully three dimensional Reynolds-averaged Navier-Stokes equations with turbulence model. The bed deformation is obtained from an overall mass-balance equation for sediment transport and the bed-load transport is simulated with a nonequilibrium model. The calculated results for flow and scour development in the laboratory channel are compared with experimental measurements. The sensitivity of the simulated results to the nonequilibrian adaptation-length parameter in the nonequilibrium bed-load transport model is investigated systematically, which represents the main contribution of this paper.
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Acknowledgments
This work was funded by the German Research Foundation (DFG) under Project No. UNSPECIFIEDDFG-Ro 558/28-1 supported by the German Research Foundation (DFG). The calculations were carried out at the Institute for Hydromechanics, University of Karlsruhe. The writers are grateful to Dr. R. Kopmann for arranging the provision of the measurement data by BAW Karlsruhe. The first writer would like to acknowledge the support of and helpful discussions with Professor P. Rutschmann when he worked with him at the Institute of Hydraulic Engineering, University of Innsbruck, Austria.
References
Arminini, A., and Di Silvio, G. (1988). “A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions.” J. Hydraul. Res., 26(3), 275–292.
Bell, R. G., and Sutherland, A. J. (1983). “Nonequilibrium bedload transport by steady flows.” J. Hydraul. Eng., 109(3), 353–367.
Briaud, J.-L., Chen, H.-C., Li, Y., Nurtjahyo, P., and Wang, J. (2003). “Complex pier scour and contraction scour in cohesive soils.” NCHRP Rep. No. 24–15, National Cooperative Highway Research Program, Transportation Research Board, National Research Council.
Cebeci, T., and Bradshaw, P. (1977). Momentum transfer in boundary layers, Hemisphere, Washington, D.C.
Dou, X. (1997). “Numerical simulation of three-dimensional flow field and local scour at bridge crossings.” Ph.D. thesis, Univ. of Mississippi.
Einstein, H. A. (1950). “The bed load function for sediment transportation in open channel flow.” Technical Bulletin No. 1026, United States Dept. of Agriculture, Washington, D.C.
Fang, H. W. (2000). “Three-dimensional calculations of flow and bed load transport in the Elbe River.” Rep. No. 763, Institute for Hydromechanics, Univ. of Karlsruhe, Karlsruhe, Germany.
Gill, M. A. (1981). “Bed erosion in rectangular long contraction.” J. Hydr. Div., 107(3), 273–284.
HEC-18. (1995). “Evaluating scour at bridges.” Federal Highway Administration, Hydraulics engineering circular No. 18, Publication FHWA HI-96–031, Washington, D.C.
Komura, S. (1966). “Equilibrium depth of scour in long constrictions.” J. Hydr. Div., 92(HY5), 17–37.
Laursen, E. M. (1960). “Scour at bridge crossings.” J. Hydr. Div., 86(HY2), 93–118.
Lim, S.-Y., and Cheng, N.-S. (1998). “Scouring in long contractions.” J. Irrig. Drain. Eng., 124(5), 258–261.
Marek, M., and Dittrich, A. (2004). “3D numerical calculations of the flow in an open channel consisting of an expansion and a contraction.” Proc., 6th Int. Conf. on Hydro-Science and -Engineering (CD-ROM), Brisbane, Australia.
Meyer-Peter, E., and Mueller, R. (1948). “Formula for bed-load transport.” Proc., Int. Association for Hydraulic Research, 2nd Meeting, Stockholm, Sweden, 39–84.
Minh Duc, B. (1998). “Berechnung der Strömung und des Sedimenttransports in Flüssen mit einem tiefengemittelten numerischen Verfahren.” Ph.D. thesis, Univ. of Karlsruhe, Karlsruhe, Germany.
Minh Duc, B., and Rodi, W. (2006). “3D-Modell zur Berechnung des Sedimenttransports bei Ungleichgewicht in Flüssen.” Bericht Nr. 828, Instituts für Hydromechanik, Universität Karlsruhe, Karlsruhe, Germany.
Minh Duc, B., Wenka, T., and Rodi, W. (2004). “Numerical modelling of bed deformation in laboratory channels.” J. Hydraul. Eng., 130(9), 894–904.
Nagata, N., Hosoda, T., Nakato, T., and Muramoto, Y. (2005). “Three-dimensional numerical model for flow and bed deformation around river hydraulic structures.” J. Hydraul. Eng., 131(12), 1074–1087.
Nakagawa, H., and Tsujimoto, T. (1980). “Sand bed instability due to bed load motion.” J. Hydr. Div., 106(12), 2029–2051.
Nakagawa, H., Tsujimoto, T., and Murakami, S. (1986). “Nonequilibrium bed load transport along side slope of an alluvial stream.” Proc., 3rd Int. Symp. on River Sedimentation, Univ. of Mississippi, 885–893.
Naudascher, E. (1992). Hydraulik der Gerinne und Gerinnebauwerke, Springer, Wien, New York.
Nurtjahyo, P. Y. (2002). “Numerical simulation of pier scour and contraction scour.” Ph.D. thesis, Dept. of Civil Engineering, Ocean Engineering Program, Texas A&M Univ., College Station, Tex.
Olsen, N. R. B., and Melaaen, M. C. (1993). “Three-dimenssssional calculation of scour around cylinder.” J. Hydraul. Eng., 119(9), 1048–1054.
Phillips, B. C., and Sutherland, A. J. (1989). “Spatial lag effects in bed load sediment transport.” J. Hydraul. Res., 27(1), 115–133.
Rahuel, J. L., Holly, F. M., Chollet, J. P., Belleudy, P. J., and Yang, G. (1989). “Modelling of riverbed evolution for bedload sediment mixtures.” J. Hydraul. Eng., 115(11), 1521–1542.
Raudkivi, A. J. (1990). Loose boundary hydraulics, Pergamon Press, Oxford, U.K.
Rodi, W. (1993). Turbulence models and their application in hydraulics, 3rd Ed., Balkema, Rotterdam/Brookfield.
Roulund, A., Sumer, B. M., Fredsoe, J., and Michelsen, J. (2005). “Numerical and experimental investigation of flow and scour around a circular pile.” J. Fluid Mech., 534, 351–401.
Sekine, M., and Parker, G. (1992). “Bed load transport on transverse slope. I.” J. Hydraul. Eng., 118(4), 513–535.
Straub, L. G. (1934). “Effect of channel contraction works upon regime of movable bed streams.” Trans., Am. Geophys. Union, Vol. 14, Part II, 454–463.
Thuc, T. (1991). “Two-dimensional morphological computations near hydraulic structures.” Ph.D. thesis, Asian Institute of Technology, Bangkok, Thailand.
Tsubaki, T., and Saito, T. (1967). “Regime criteria for sand waves in erodible bed channels.” Kyushu Univ., Faculty of Engineering, Annuals, 40, 741–748 (in Japanese).
Van Rijn, L. C. (1987). “Mathematical modelling of morphological processes in the case of suspended sediment transport.” Delft hydraulics communication No. 382.
Wei, G., Chen, H. C., Ting, F., Briaud, J.-L., Gudavalli, S. R., and Perugu, S. (1997). “Numerical simulation to study scour rate in cohesive soils.” Research Rep. to the Texas Dept. of Transportation, Dept. of Civil Engineering, Texas A&M Univ., College Station, Tex.
Weise, S. (2002). “Verifikation eines zweidimensionalen Feststofftransportmodells anhand von hydraulischen Versuchen.” Diploma thesis, Hochschule für Technik, Wirtschaft und Kultur Leipzig (FH).
Wu, W., Rodi, W., and Wenka, T. (2000). “3D numerical modeling of flow and sediment transport in open channels.” J. Hydraul. Eng., 126(1), 4–15.
Wu, W., Vieira, D. A., and Wang, S. S. Y. (2004). “One-dimensional numerical model for nonuniform sediment transport under unsteady flows in channel networks.” J. Hydraul. Eng., 130(9), 914–923.
Yalin, M. S. (1972). Mechanics of sediment transport, Pergamon, New York.
Zhu, J. (1992). “An introduction and guide to the computer program FAST3D.” Rep. No. 691, Institute for Hydromechanics, Univ. of Karlsruhe, Karlsruhe, Germany.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 134 • Issue 4 • April 2008
Pages: 367 - 377
Copyright
© 2008 ASCE.
History
Received: Jul 6, 2006
Accepted: Jul 20, 2007
Published online: Apr 1, 2008
Published in print: Apr 2008
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