Chapter 16
Turbulence Models for Sediment Transport Engineering
Publication: Sedimentation Engineering: Processes, Measurements, Modeling, and Practice
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REFERENCES
Ahmed, F., and Rajaratnam, N. (1998). “Flow around bridge piers.” Journal of Hydraulic Engineering, ASCE, 124, (3), 288–300.
Alonso, C. V. (1981). “Stochastic models of suspended-sediment dispersion.” Journal of the Hydraulics Divisions., ASCE, 107 (HY6), 733–757.
Apsley, D., Chen, W.-L., Leschziner, M., and Lien, F.-S. (1997). “Non-linear eddy-viscosity modeling of separated flows.” Journal of Hydraulic Research, 35(6), 723–748.
Armanini, A., and DiSilvio, G. (1988). “A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions.” Journal of Hydraulic Research, 26(3), 275–292.
ASCE Task Committee on Turbulence Models in Hydraulic Computations (1988). “Turbulence modeling of surface water flow and transport: I, II, III, IV, and V.” Journal of Hydraulic Engineering, ASCE, 114(9), 970–1073.
Barenblatt, G. I. (1953). “On the motion of suspended particles in a turbulent flow.” Prikladnaya Matematika Mekhanika, 16 (1), 67–78.
Barenblatt, G. I. (1996). Scaling, self-similarity, and intermediate asymptotics. Cambridge University Press, Cambridge, U.K.
Barton, J. R., and Lin, P.-N. (1955). A study of the sediment transport in alluvial streams. Civil Engineering Dept., Colorado A & M College, Fort Collins, Colo.
Baumert, H., and Peters, H. (2000). “Second-moment closures and length scales for weakly stratified turbulent shear flows.” Journal of Geophysical Research, 105, (C3), 6453–6568.
Bennett, S. J., and Best, J. L. (1995). “Mean flow and turbulence structure over fixed, two-dimensional dunes: Implications for sediment transport and bedform stability.” Sedimentology, 42, 491–513.
Bennett, S. J., Bridge, J. S., and Best, J. L. (1998). “Fluid and sediment dynamics of upper-stage plane beds.” Journal of Geophysical Research, 103, (C1), 1239–1274.
Biglari, B., and Sturm, T. W. (1998). “Numerical modeling of flow around bridge abutments in compound channel.” Journal of Hydraulic Engineering ASCE, 124, (2), 156–164.
Blanckaert, K., and Graf, W. H. (2001). “Mean flow and turbulence in open channel bend.” Journal of Hydraulic Engineering, ASCE, 127, (10), 835–847.
Blumberg, A. F., Galperin, B., and O’Connor, D. J. (1992). “Modeling vertical structure of open channel flow.” Journal of Hydraulic Engineering, ASCE, 118, (8), 1119–1134.
Boillat, J. L., and Graf, W. H. (1981). “Settling velocity of spherical particles in calm water.” Journal of the Hydraulics Divisions, ASCE, 107(HY10), 1123–1131.
Boillat, J. L., and Graf, W. R. (1982). “Vitesse de sédimentation de particules sphériques en milieu turbulent [Settling velocities of spherical particles in turbulent media].” Journal of Hydraulic Research, 20(5), 395–413.
Boivin, M., Simonin, O., and Squires, K. D. (1998). “Direct numerical simulation of turbulence modulation by particles in isotropic turbulence.” Journal of Fluid Mechanics, 375, 235–263.
Bradshaw, P. (1997). “Understanding and prediction of turbulent flows—1996.” International Journal of Heat and Fluid Flow, 18, 45–54.
Brereton, G. J., and Mankbadi, R. R. (1995). “Review of recent advances in the study of unsteady turbulent internal flows.” Applied Mechanics Review, 48, (4), April, 189–212.
Brors, B., and Eidsvik, K. J. (1994). “Oscillatory boundary layer flows modelled with dynamic Reynolds stress turbulence closure.” Continental Shelf Research, 14, (13/14), 1455–1475.
Burchard, H., and Baumert, H. (1995). “On the performance of a mixed-layer model based on the k– ε turbulence closure.” Journal of Geophysical Research, 100, (C5), 8523–8540.
Burchard, H., Petersen, O., Rippeth, T. P. (1998). “Comparing the performance of the Mellor-Yamada and the k–ε two-equation turbulence models.” Journal of Geophysical Research 103, (C5), 10543–10554.
Burke, R. W., and Stolzenbach, K. D. (1983). Free surface flow through salt marsh grass, Sea Grant Rep. MITSG 83–16, Massachusetts Institute of Psyochology, Cambridge, Mass.
Cao, Z., Zhang, X., and Xi, H. (1996). “Turbulent bursting-based diffusion model for suspended sediment in open-channel flows.” Journal of Hydraulic Research, 34, (4), 457–472.
Cebeci, T., and Bradshaw, P. (1977). Momentum transfer in boundary layers. Hemisphere, Washington, D.C.
Celik, I. (1982). “Discussion of ‘Mixture theory for suspended sediment transport’ by D. F. McTigue.” Journal of the Hydraulics Division., ASCE, 108, (HY3), 467–468.
Celik, I. and Rodi, W. (1984). “Simulation of free-surface effects in turbulent channel flows.” Physiochemical Hydrodynamics, 5, (3/4), 217–227.
Celik, I., and Rodi, W. (1988). ”Modeling suspended sediment transport in nonequilibrium situations.” Journal of Hydraulic Engineering, ASCE, 114, (10), 1157–1191.
Cellino, M., and Graf, W. H. (1999). “Sediment-laden flow in open-channels under noncapacity and capacity conditions.” Journal of Hydraulic Engineering, ASCE, 125, (5), 455–462.
Cellino, M., and Graf, W. H. (2000). “Experiments on suspension flow in open channels with bed forms.” Journal of Hydraulic Research, 38, (4), 289–298.
Chang, Y. S., and Scotti, A. (2003). “Entrainment and suspension of sediments into a turbulent flow over ripples.” Journal of Turbulence, 4, 1–22.
Chapman, R. S., and Kuo, C. Y. (1985). “Application of the two-equation k-ε turbulent model to a two-dimensional, steady, free surface flow problem with separation.” International. Journal of Numerical Methods in Fluids, 5, 257–268.
Chen, C.-J., and Jaw, S.-Y. (1998). Fundamentals of turbulence modeling. Taylor & Francis, Washington, D.C.
Cheong, H. F., and Xue, H. (1997). “Turbulence model for water flow over two-dimensional bed forms.” Journal of Hydraulic Engineering, ASCE, 123, (5), 402–409.
Clift, R., Grace, J. R., and Weber, M. E. (1978). Bubbles, drops, and particles. Academic Press, New York.
Coleman, N. L. (1970). “Flume studies of the sediment transfer coefficient.” Water Resources Research, 6, (3), 801–809.
Coleman, N. L. (1981). “Velocity profiles with suspended sediment.” Journal of Hydraulic Research, 19, (3), 211–229.
Craft, T. J., Suga, K., and Launder, B. E. (1993). “Extending the applicability of eddy viscosity models through the use of deformation invariants and non-linear elements.” Proc., 5th International Symposium on Refined Modeling and Turbulence Measurements, International Association for Hydraulic Research, Paris, France, 125–132.
Crowe, C. T., Troutt, T. R., and Chung, J. N. (1996). “Numerical models for two-phase turbulent flows.” Annual Reviews of Fluid Mechanics, 28, 11–44.
Crowe, C., Sommerfeld, M., and Tsuji, Y. (1998). Multiplase flows with droplets and particles. CRC Press, Boca Raton, Fla.
Dargahi, B. (1989). “The turbulent flow field around a circular cylinder.” Experiments in Fluids, 8, 1–12.
Davies, A. G. (1995). “Effects of unsteadiness on the suspended sediment flux in co-linear wave-current flow.” Continental Shelf Research, 15, (8), 949–979.
Davies, A. M., Jones, J. E., and Xing, J. (1997). “Review of recent developments in tidal hydrodynamics modeling. II: Turbulence energy models.” Journal of Hydraulic Engineering, ASCE, 123, (4), 293–302.
Davies, A. G., Ribberink, J. S., Temperville, A., and Zyserman, J. A. (1997). “Comparison between sediment transport models and observations made in wave and current flows above plane beds.” Coastal Engineering, 31, 163–198.
Devantier, B. A., and Larock, B. E. (1987). “Modeling sediment-induced density currents in sedimentation basins.” Journal of Hydraulic Engineering, ASCE, 113, (1), 80–94.
Devenport, W. J., and Sutton, E. P. (1991). “Near-wall behavior of separated and reattaching flows.” AIAA Journal., 29, (1), 25–31.
Dietrich, W. D. (1982). “Flow, boundary shear stress, and sediment transport in a river meander.” Ph.D. dissertation, University of Washington, Seattle, Wash.
Drew, D. A. (1975). “Turbulent sediment transport over a flat bottom using momentum balance.” Journal of Applied Mechanics, Transaction of the ASME, 38–44.
Drew, D. A. (1983). “Mathematical modeling of two-phase flows.” Annual Reviews of Fluid Mechanics, 15, 261–291.
Durbin, P. A., and Petterson Reif, B. A. (2001). Statistical theory and modeling for turbulent flows. Wiley, Chichester, U.K.
Einstein, H. A., and Chien, N. (1954). Second approximation to the solution of the suspended load theory. Research Rep. No. 3, University of California, Berkeley, Calif.
Einstein, H. A., and Chien, N. (1955). “Effects of heavy sediment concentration near the bed on velocity and sediment distribution.”M. R. D. Sediment Series, No. 8, Univ. of Calif. Inst. of Eng. Research, U.S. Army Eng. Div., Missouri River.
Einstein, H. A., and Li, H. (1959). “The viscous sublayer along a smooth boundary.” Proceeding of the ASCE 82, Paper 945, 1–27.
Elghobashi, S. (1994). “On predicting particle-laden turbulent flows.” Applied Science Research, 52, 309–329.
Elghobashi, S. E., and Abou-Arab, T. W. (1983). “A two-equation turbulence model for two-phase flows.” Physics of Fluids, 26, (4), 931–938.
Elghobashi, S. E., and Truesdell, G. C. (1993). “On the two-way interaction between homogeneous turbulence and dispersed solid particles. 1: Turbulence modification.” Physics of Fluids A, 5, (7), 1790–1801.
Ferziger, J. H. (1996). “Large eddy simulation.” Simulation and modeling of turbulent flows, Gatski T.B., Hussaini M.Y., and Lumley J.L., eds., Oxford Univ. Press, New York.
Ferziger, J. H., and Peric, M. (2001). Computational fluid dynamics, 3rd Rev. Ed., Springer-Verlag, Berlin.
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J., and Brooks, N. H. (1979). Mixing in inland and coastal waters, Academic Press, New York.
Fredsoe, J. (1993). “Modeling of non-cohesive sediment transport processes in the marine environment.” Coastal Engineering, 21, 71–103.
Fredsoe, J., Andersen, O. H., and Silberg, S. (1985). “Distribution of suspended sediment in large waves.” Journal of Waterway, Port, Coastal and Ocean Engineering, ASCE, 111, (6), 1041–1059.
Frey, P., Champagne, J. Y., Morel, R., and Gay, B. (1993). “Hydrodynamics fields and solid particles transport in a settling tank.” Journal of Hydraulic Research, 31, (6), 763–776.
Galperin, B., Kantha, L. H., Hassid, S., and Rosati, A. (1988). “A quasi-equilibrium turbulent energy model for geophysical flows.” Journal of the Atmospheric Sciences, 45, (1), 55–62.
Galperin, B., and Orszag, S., eds. (1993). Large eddy simulation of complex engineering and geophysical flows. Cambridge Univ. Press, New York.
Gessler, D., Hall, B., Spasojevic, M., Holly, F., Pourtaheri, H., and Raphelt, N. (1999). “Application of 3D mobile bed, hydrodynamic model.” Journal of Hydraulic Engineering, ASCE, 125, (7), 737–749.
Ghanmi, A., Robert, J.-L., and Khelifi, M. (1997). “Three-dimensional finite element model to simulate secondary flows: Development and validation.” Journal of Hydraulic Research, 35, (3), 291–300.
Grass, A. J. (1971). “Structural features of turbulent flow over smooth and rough boundaries.” Journal of Fluid Mechanics, 50, (2), 233–255.
Greimann, B. P., Muste, M., and Holly, F. M., Jr., (1999). “Two-phase formulation of suspended sediment transport.” Journal of Hydraulic Research, 37, (4), 479–500.
Gresho, P. M., and Sani, R. L. (2000). Incompressible flow and the finite element method. Wiley, New York.
Hagatun, K., and Eidsvik, K. J. (1986). “Oscillating turbulent boundary layer with suspended sediments.” Journal of Geophysical Research, 91, (C11), 13,045–13,055.
Hallbäck, M., Hennigson, D. S., Johansson, A. V., and Alfredsson, P. H., eds. (1996) Turbulence and transition modelling. ERCOFTAC Series, Kluwer Academics, Dordrecht, The Netherlands.
Hanes, D. M., and Bowen, A. J. (1985). “A granular-fluid model for steady intense bedload transport.” Journal of Geophysical Research, 90, (C5), 9149–9158.
Hanjalic, K. (1994). “Advanced turbulence closure models: A view of current status and future prospects.” International Journal of Heat and Fluid Flow, 15, (3), June, 178–203.
Haroutunian, V., and Engelman, M. S. (1993). “Two-equation simulations of turbulent flows: A commentary on physical and numerical aspects.” Advances in finite element analysis in fluid dynamics, Dhaubhadel M.N., Engelman M.S., and Habashi W.G., eds., ASME Fluids Eng. Div., New York, 171, 95–105.
Hicks, F. E., Jin, Y. C., and Steffler, P. M. (1990). “Flow near sloped bank in curved channel.” Journal of Hydraulic Engineering, ASCE, 116, (1), 55–70.
Hinze, J. (1975). Turbulence. McGraw-Hill, New York.
Hsu, T. J., Jenkins, J. T., and Liu, P. L. F. (2003). “On two-phase sediment transport: Dilute flow.” Journal of Geophysical Research—Oceans, 108, (C3), No. 3057.
Huynh Thanh, S., and Temperville, A. (1991). “A numerical model of the rough turbulent boundary layer in combined wave and current interaction.” Euromech 262 — Sand transport in rivers, estuaries and the sea, Soulsby R. and Bettess R., eds., Balkema, Rotterdam, The Netherlands, 93–102.
Huynh Thanh, S., Tran Thu, T., and Temperville, A. (1994). “A numerical model for suspended sediment in combined currents and waves.” Sediment Transport Mechanisms in Coastal Environment and Rivers, World Scientific, Singapore, 122–130.
Imam, E., McCorquodale, J. A., and Bewtra, J. K. (1982). “Numerical modeling of sedimentation tanks.” Journal of Hydraulic Engineering, ASCE, 109, (12), 1740–1754.
Itakura, T., and Kishi, T. (1980). “Open channel flow with suspended sediments.” Journal of the Hydraulics Division, ASCE, 106 (HY8), 1325–1343.
Jackson, R. G. (1976). “Sedimentological and fluid dynamical implications of the turbulent bursting phenomenon in geophysical flows.” Journal of Fluid Mechanics, 77, 531–560.
Jensen, B. L., Sumer, B. M., and Fredsoe, J. (1989). “Turbulent oscillatory boundary layers at high Reynolds number flow.” Journal of Fluid Mechanics, 206, 265–297.
Jobson, H. E., and Sayre, W. W. (1970). “Vertical transfer in open channel flow.” Journal of Hydraulic Engineering, ASCE, 114, (10), 1157–1191.
Johns, B., Soulsby, R. L., and Chesher, T. J. (1990). “The modeling of sandwave evolution resulting from suspended and bed load transport of sediment.” Journal of Hydraulic Research, 28 (3), 355–374.
Jovic, S., and Driver, D. (1995). “Reynolds number effect on the skin friction in separated flows behind a backward-facing step.” Experiments in Fluids, 18, 464–467.
Justesen, P. (1991). “A note on turbulence calculations in the wave boundary layer.” Journal of Hydraulic Research, 29 (5), 699–711.
Kim, H. G., and Patel, V. C. (2000). “Test of turbulence models for wind flow over terrain with separation and recirculation.” Boundary-Layer Meteorology, 94, 5–21.
Kobayashi, N., and Seo, S. N. (1985). “Fluid and sediment interaction over a plane bed.” Journal of Hydraulic Engineering, ASCE, 111 (6), 903–921.
Krebs, P. (1995). “Success and shortcomings of clarifier modeling.” Water Research, 31, (2), 181–191.
Kundu, P. K. (1990). Fluid Mechanics. Academic Press, San Diego.
Lamberti, A., Montefusco, L., and Valiani, A. (1991). “A granular- fluid model of the stress transfer from the fluid to the bed.” Euromech 262 — Sand transport in rivers, estuaries and the sea, Soulsby R. and Bettess R., eds., Balkema, Rotterdam, The Netherlands, 209–214.
Lane, S. N. (1998). “Hydraulic modeling in hydrology and geomorphology: A review of high resolution approaches.” Hydrological Processes, 12, 1131–1150.
Larsen, P. (1977). “On the hydraulics of rectangular settling basins, experimental and theoretical studies.” Rep. 1001, Dept. of Water Resources Eng., Lund Institute of Technology, Lund University, Lund, Sweden.
Launder, B. E. (1978). “Heat and mass transport.” In Turbulence, 2nd Ed., Bradshaw P., ed., Springer-Verlag, Berlin.
Launder, B. E. (1984). “Second-moment closure: Methodology and practice.” Turbulence models and their applications, Vol. 2, Editions Eyrolles, Paris.
Launder, B. E. (1996). “An introduction to single-point closure methodology.” Simulation and modeling of turbulent flows, Gatski T.B., Hussaini M.Y., and Lumley J.L., eds., Oxford Univ. Press, New York.
Le, H., Moin, P., and Kim, P. (1997). “Direct numerical simulation of turbulent flow over a backward-facing step.” Journal of Fluid Mechanics, 330, 349–374.
Li, Z., and Davies, A. G. (1996). “Towards predicting sediment transport in combined wave-current flow.” Journal of Waterway, Port, Coastal, and Ocean Engineering, ASCE, 122 (4), 157–164.
Lien, F. S., and Leschziner, M. A. (1994). “Assessment of turbulence-transport models including non-linear RNG eddy-viscosity and second-moment closure for flow over a backward-facing step.” Computers and Fluids, 23, (8), 983–1004.
Liggett, J. A. (1994). Fluid mechanics. McGraw-Hill, New York.
Lodahl, C. R., Sumer, B. M., and Fredsoe, J. (1998). “Turbulent combined oscillatory flow and current in a pipe.” Journal of Fluid Mechanics, 373, 313–348.
Lopez, F., and Garcia, M. H. (2001). “Mean flow and turbulence structure of open-channel flow through submerged vegetation.” Journal of Hydraulic Engineering, ASCE, 127, (5), 392–402.
Lumley, J. L. (1973). “Two-phase and non-Newtonian flows.” In Turbulence, Bradshaw P., ed., Springer, New York.
Lumley, J. L., and Panofsky, H. A. (1964). The structure of atmospheric turbulence. Interscience, New York.
Lyn, D. A. (1988). “A similarity approach to turbulent sediment-laden flows in open channels.” Journal of Fluid Mechanics, 193, 1–26.
Lyn, D. A. (1991). “Resistance in flat-bed sediment-laden flows.” Journal of Hydraulic Engineering, ASCE, 117 (1), 94–115.
Lyn, D. A. (1993). “Turbulence measurements in open-channel flows over artificial bed forms.” Journal of Hydraulic Engineering, ASCE, 119 (3), 306–326.
Lyn, D. A., Stamou, A. I., and Rodi, W. (1992). “Density currents and shear-induced flocculation in sedimentation tanks.” Journal of Hydraulic Engineering, ASCE, 118 (6), 849–867.
Malvern, L. E. (1969). Introduction to the mechanics of a continuous medium. Prentice-Hall, Englewood Cliffs, N.J.
Matko, T., Fawcett, N., Sharp, A., and Stephenson, T. (1996). “Process safety and environmental protection.” Transactions of the Institute of Chemical Engineering, 74, 245–258.
Maxey, M. R. (1993). “The equations of motion for a small rigid sphere in a non-uniform flow.” ASME/FED Gas-Solid Flows, 166, 57–62.
McComb, W. D. (1990). The physics of fluid turbulence. Clarendon, Oxford, U.K.
McLean, S. R. (1992). “On the calculation of suspended load for noncohesive sediments.” Journal of Geophysical Research, 97, (C4), 5759–5770.
McLean, S. R., Nelson, J. M., and Wolfe, S. R. (1994). “Turbulence structure over two-dimensional bed forms: Implications for sediment transport.” Journal of Geophysical Research, 99, (C6), 12729–12747.
McTigue, D. F. (1981). “Mixture theory for suspended sediment transport.” Journal of the Hydraulics Division, ASCE, 107, (HY6), 659–673.
McTigue, D. F. (1982). “Closure to ‘Mixture theory for suspended sediment transport’ by D. F. McTigue,” Journal of the Hydraulics Division, ASCE, 108, (HY10), 1245–1247.
Mei, R., and Adrian, R. J. (1995). “Effects of Reynolds number on isotropic turbulent dispersion.” Journal of Fluids Engineering, ASME, 117, 402–409.
Mellor, G. L., and Herring, H. J. (1973). “A survey of the mean turbulence field closure models.” AIAA Journal, 11, (5), 590–599.
Mellor, G. L., and Yamada, T. (1982). “Development of a turbulence closure model for geophysical fluid problems.” Reviews of Geophysics and Space Physics, 20, (4), 851–875.
Melville, B. W., and Raudkivi, A. J. (1977). “Flow characteristics in local scour at bridge piers.” Journal of Hydraulic Research, 15, (4), 373–380.
Mendoza-Cabrales, C. (1993). “Computation of flow past a cylinder mounted on a flat plate.” Proc., Hydraulic Eng. ‘93, Shen H.W., Su S.T., and Wen F., eds., ASCE, New York, 899–904.
Mendoza, C., and Shen, H. W. (1988). “Modeling of turbulent two-phase flow over dunes.” First National Fluid Dynamics Congress. AIAA, New York.
Mendoza, C., and Shen H. W. (1990). “Investigation of turbulent flow over dunes.” Journal of Hydraulic Engineering, ASCE, 116, (4), 459–477.
Minh Duc, B., Wenka, T., and Rodi, W. (1998). “Depth-average numerical modeling of flow and sediment transport in the Elbe River.” Proc., Third Int. Conf. Hydroscience and Eng. National Center for Computational Hydroscience and Engineering, University of Mississippi, Oxford, Miss.
Monin, A. S., and Yaglom, A. M. (1971). Statistical fluid mechanics. mechanics of turbulence, Vol. 1, MIT Press, Cambridge, Mass.
Müller, A., and Gyr, A. (1986). “On the vortex formation in the mixing layer behind dunes.” Journal of Hydraulic Research, 24, (5), 359–375.
Murray, P. B., Davies, A. G., and Soulsby, R. L. (1991). “Sediment pick-up in wave and current flows.” Euromech 262 — Sand transport in rivers, estuaries and the sea,” Soulsby R. and Bettess R., eds., Balkema, Rotterdam, The Netherlands, 37–44.
Muste, M., and Patel, V. C. (1997). “Velocity profiles for particles and liquid in open-channel flows.” Journal of Hydraulic Engineering, ASCE, 123, (9), 742–751.
Naot, D., Nezu, I., Nakagawa, H. (1996). “Hydrodynamic behavior of partly vegetated open-channels.” Journal of Hydraulic Engineering, ASCE, 122, (11), 625–633.
Nelson, J. M., Shreve, S. R., McLean, S. R., and Drake, T. G. (1995). “Role of near-bed turbulence structure in bedload transport and bedform mechanics.” Water Resources Research, 31, 2071–2086.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open channel flows, IAHR Monograph Series, Balkema, Rotterdam, The Netherlands.
Nezu, I., and Rodi, W. (1986). “Open-channel flow measurements with a laser-Doppler anemometer.” Journal of Hydraulic Engineering, ASCE, 112, (5), 335–355.
Nin^o, Y., and Garcia, M. H. (1996). “Experiments on particle-turbulence interactions in the near-wall region of an open-channel flow: Implications for sediment transport.” Journal of Fluid Mechanics, 326, 285–319.
Odgaard, A. J., and Bergs, M. A. (1988). “Flow processes in a curved alluvial channel.” Water Resources Research, 24, (1), 45–56.
Olsen, N. R. B., and Melaaen, O. (1993) “Three-dimensional calculation of scour around cylinders. Journal of Hydraulic Engineering, ASCE, 119, (9), 1048–1054.
Olsen, N. R. B., and Kjellesvig, H. M. (1999). “Three-dimensional numerical modeling of bed changes in a sand trap.” Journal of Hydraulic Research, 37, (2), 189–198.
Ouillon, S., and le Guennec, B. (1996). “Modeling non-cohesive suspended sediment transport in 2D vertical free-surface flows.” Journal of Hydraulic Research, 34, (2), 219–236.
Patel, V. C. (1997). “Longitudinal curvature effects in turbulent boundary layers.” Progress in Aerospace Sciences, 33, 1–70.
Patel, V. C. (1998). “Perspective: Flow at high Reynolds number and over rough surfaces—Achilles heel of CFD.” Journal of Fluids Engineering, ASME, 120, 434–444.
Patel, V. C., Rodi, W., and Scheuerer, G. (1985). “A review and evaluation of evaluation of turbulent models for near-wall and low-Reynolds-number flows.” AIAA Journal, 23, (9), 1308–1319.
Patel, V. C. and Sotiropoulos, F. (1997). “Longitudinal curvature effects in turbulent boundary layers.” Progress in Aerospace Sciences, 33 (½), 1–70.
Piomelli, U., and Chasnov, J. R. (1996). “Large-eddy simulations: Theory and application.” Turbulence and transition modelling, Hallbäck M., Henningson D.S., Johansson A.V., and Alfredsson P.H., eds., ERCOFTAC series, Kluwer, Dordrecht, The Netherlands.
Piquet, J. (1999). Turbulent flows: Models and physics. Springer, Berlin.
Portela, L. M., and Oliemans, R. V. A. (2003). “Eulerian-Lagrangian DNS/LES of particle-turbulence interactions in wall-bounded flows.” International Journal for Numerical Methods in Fluids, 43, 1045–1065.
Prandtl, L. (1925). “Über die ausgebildete Turbulenz.” Zeitschrift für angewandte Mathematik und Mechanik (5), 136–139.
Rastogi, A., and Rodi, W. (1978). “Predictions of heat and mass transfer in open channels.” Journal of the Hydraulics Division, ASCE, 104, (HY3), 397–420.
Raudkivi, A. J. (1963). “Study of sediment ripple formation.” Journal of the Hydraulics Division, ASCE, 69, (HY6), 15–33.
Raudkivi, A. J. (1966). “Bedforms in alluvial channels.” Journal of Fluid Mechanics, 26, (3), 507–514.
Raudkivi, A. J. (1990). Loose boundary hydraulics. Pergamon, Oxford, England.
Ribberink, J. S., and Al-Salem, A. A. (1994). “Sediment transport in oscillatory boundary layers in cases of rippled beds and sheet flow.” Journal of Geophysical Research, 99, (C6), 12707–12727.
Ribberink, J. S., and Al-Salem, A. A. (1995). “Sheet flow and suspension of sand in oscillatory boundary layers.” Coastal Engineering, 25, 205–225.
Richards, K. J. (1980). “The formation of ripples and dunes on an erodible bed.” Journal of Fluid Mechanics, 99, (2), 597–618.
Richardson, J. E., and Panchang, V. G. (1998). “Three-dimensional simulation of scourinducing flow at bridge piers.” Journal of Hydraulic Engineering, ASCE, 124, (5), 530–541.
Rodi, W. (1976). “A new algebraic relation for calculating Reynolds stress.” Zeifschrift für Angewandte Mathematik und Mechanik, 56, 219–221.
Rodi, W. (1987). “Examples of calculations methods for flow and mixing in stratified fluids.” Journal of Geophysical Research, 92, (C5), 5305–5328.
Rodi, W. (1993). Turbulence models and their application in hydraulics, 3rd Ed., Balkema, Rotterdam, The Netherlands.
Rodi, W. (1995). “Impact of Reynolds-average modeling in hydraulics.” Proceedings of the Royal Society of London, series 451, 141–164.
Rotta, J. C. (1951). “Statistische Theorie nichthomgener Turbulenz.” Zeitschrift für Physik, 129, 547–572.
Rotta, J. C. (1964). “Temperaturverteilungen in der turbulenten Grenzschicht an der ebenen Platte.” International Journal of Heat and Mass Transfer, 7, 215–228.
Sajjadi, S. G., and Aldridge, J. N. (1995). “Prediction of turbulent flow over rough asymmetrical bed forms.” Applied Mathematical Modeling, 19, 139–152.
Sana, A., and Tanaka, H. (2000). “Review of k–ε models to analyze oscillatory boundary layers.” Journal of Hydraulic Engineering, ASCE, 126, (9), 701–710.
Savioli, J., and Justesen, P. (1997a). “Sediment in oscillatory flows over a plane bed.” Journal of Hydraulic Research 35 (2), 177–190.
Savioli, J., and Justesen, P. (1997b). “Discussion of ‘Towards predicting sediment transport in combined wave-current flow.’” Journal of Waterway, Port, Coastal, and Ocean Engineering, ASCE, 123, (6), 362–363.
Sekine, M., and Kikkawa, H. (1992). “Mechanics of saltating grains. II.” Journal of Hydraulic Engineering, ASCE, 118, (4), 536–558.
Sheng, Y. P., and Villaret, C. (1989). “Modeling the effect of suspended sediment stratification on bottom exchange processes.” Journal of Geophysical Research, 94, (C10), 14429–14444.
Simonin, O. (1991). “Predictions of the dispersed phase turbulence in particle-laden jets.” Gas-solid flows, Stock D.E., Tsuji Y., Jurewicz J.T., Reeks M.W., and Gautam M., eds., ASME, New York, vol. 121, 197–206.
Smith, J. D., and McLean, S. R. (1977). “Spatially averaged flow over a wavy surface.” Journal of Geophysical Research, 82, (12), 1735–1746.
Soulsby, R. L., and Wainwright, B. L. S. A. (1987). “A criterion for the effect of suspended sediment on near-bottom velocity profiles.” Journal of Hydraulic Research, 25, (3), 341–356.
Spalart, P. R. (2000). “Strategies for turbulence modeling and simualtions.” International Journal of Heat and Fluid Flow, 21, 252–263.
Spalart, P. R., and Allmaras, S. R. (1992). “A one-equation turbulence model for aeronautical flows.” AIAA Paper 92–439, AIAA, Roiton, Va.
Speziale, C. G. (1987). “On nonlinear k–l and k–ε models of turbulence.” Journal of Fluid Mechanics, 178, 459–475.
Speziale, C. G. (1991). “Analytical models for the development of Reynolds stress closures in turbulence.” Annual Reviews of Fluid Mechanics, Annual Reviews, Palo Alto, Calif.
Speziale, C. G. (1996). “Modeling of turbulent transport equations.” Simulation and modeling of turbulent flows, Gatski T.B., Hussaini M.Y., and Lumley J.L., eds., Oxford Univ. Press, New York.
Speziale, C. G., and Bernard, P. S. (1992). “The energy decay in self-preserving isotropic turbulence revisited.” Journal of Fluid Mechanics, 241, 645–667.
Speziale, C. G. and Thangam, S. (1992). “Analysis of an RNG based turbulence model for separated flows.” International Journal of Engineering Science, 30, (10) 1379–1388.
Squires, K. D., and Eaton J. K. (1991). “Measurement of particle dispersion obtained from numerical simulations of isotropic turbulence.” Journal of Fluid Mechanics, 226, 1–35.
Stock, D. E. (1996). “Particle dispersion in flowing gases—1994 Freeman Scholar Lecture.” ASME Journal of Fluids Engineering, 118, 4–17.
Sumer, B.M., Jensen, B.L., and Fredse, J. (1987). “Turbulence in oscillatory boundary layers.” Advances in Turbulence, Proc. 1st European Conf., Comte-Bellot G. and Mathieu J., eds., Springer- Verlag, New York, 556–567.
Tennekes, H. (1989). “Two- and three-dimensional turbulence.” Lecture notes from the NCAR-GTP Summer School, June 1987, World Scientific, Singapore, 1–73.
Tennekes, H., and Lumley, J. L. (1972). A first course in turbulence, MIT Press, Cambridge, Mass.
Thorne, C. R., and Raïs, S. (1983). “Secondary current measurement in a meander river.” Proc. ASCE Inter. Conf. on River Meandering, ASCE, New York, 675–686.
Tseng, M.-H., Yen, C. L., and Song, C. C. S. (2000). “Computation of three-dimensional flow around square and circular piers.” International Journal of Numerical Methods in Fluids, 34, 207–227.
Tsujimoto, T., Shimizu, Y., and Nakagawa, H. (1991). “Concentration distribution of suspended sediment in vegetated sand bed channel.” International symposium on transport of suspended sediment and its mathematical modeling.
Turner, J. S. (1973). Buoyancy effects in fluids. Cambridge Univ. Press, Cambridge, U.K.
Van Mierlo, M. C. L. M., and de Ruiter, J. C. C. (1988). Turbulence measurements above artificial dunes.” Rept. Q789, Delft Hydraulics Laboratory, Delft, The Netherlands.
Van Rijn, L. (1982). “Equivalent roughness of alluvial bed.” Journal of Hydraulics Division, ASCE, 108, (HY10), 1215–1218.
Van Rijn, L. (1984b). “Sediment transport, I: Bed load transport.” Journal of Hydraulic Engineering, ASCE, 110 (10), 1431–1456.
Van Rijn, L. (1984a). “Sediment pick-up functions.” Journal of Hydraulic Engineering, ASCE, 110, (10), 1494–1502.
Van Rijn, L. (1984c). “Sediment transport. Suspended load transport.” Journal of Hydraulic Engineering, ASCE, 110, (11), 1613–1641.
Vanoni, V. A. (1946). “Transportation of suspended sediment by water.” Transactions of the ASCE, 111, Paper 2267, 67–133.
Vanoni, V. A., ed. (1975). Sedimentation Engineering, ASCE Manual no. 54, ASCE, New York.
Villaret, C., and Davies, A. G. (1995). “Modeling sediment-turbulent flow interactions.” Applied Mechanics Review, 48, (9), 601–609.
Villaret, C., and Trowbridge, J. H. (1991). “Effects of stratification by suspended sediments on turbulent shear flows.” Journal of Geophysical Research, 96, (C6), 10659–10680.
Wang, L.-P., and Maxey, M. R. (1993). “Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence.” Journal of Fluid Mechanics, 256, 27–68.
Wei, T., and Willmarth, W. (1991). “Examination of v-velocity fluctuations in a turbulent channel flow in the context of sediment transport.” Journal of Fluid Mechanics, 223, 241–252.
Wiberg, P. L., and Rubin, D. M. (1989). “Bed roughness produced by saltating sediment.” Journal of Geophysical Research, 94, (C4), 5011–5016.
Wiberg, P. L., and Smith, J. D. (1985). “A theoretical model for saltating grains in water.” Journal of Geophysical Research, 90, (C4), 7341–7354.
Wiberg, P. L., and Smith, J. D. (1989). “Model for calculating bed load transport of sediment.” Journal of Hydraulic Engineering, ASCE, 115, (1), 101–123.
Wilcox, D. C. (1998). Turbulence modeling for CFD, 2nd Ed., DCW Industries, La Cañada, Calif.
Wu, W., Rodi, W., and Wenka, T. (2000). “3D numerical modeling of flow and sediment transport in open channels.” Journal of Hydraulic Engineering, ASCE, 126, (1), 4–15.
Yakhot, V., and Orszag, S. A. (1986). “Renormalization group analysis of turbulence. 1: Basic theory.” Journal of Scientific Computing, 1, (1), 3–51.
Yang, T. S., and Shy, S. S. (2003). “The settling velocity of heavy particles in an aqueous near-isotropic turbulence.” Physics of Fluids, 15, (4), 868–880.
Ye, J., and McCorquodale, J. A. (1998). “Simulation of curved open channel flows by 3D hydrodynamic model.” Journal of Hydraulic Engineering, ASCE, 124, (7), 687–698.
Yoon, J. Y., and Patel, V. C. (1996). “Numerical model of turbulent flow over a sand dune.” Journal of Hydraulic Engineering, ASCE, 122, (1), 10–18.
Zedler, E. A., and Street, R. L. (2001). “Large eddy simulations of sediment transport: currents over ripples.” Journal of Hydraulic Engineering, 127, (6), 444–452.
Zthou, S. P., MeConquodale, J. A., and Godo, A. M. (1994). “Short circuiting and density interface in primary classifiers.” Journal of Hydraulic Engineering, 120, (9), 1060–1080.
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Sedimentation Engineering: Processes, Measurements, Modeling, and Practice
Pages: 763 - 825
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© 2008 American Society of Civil Engineers.
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Published online: May 6, 2013
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