Apparent Roughness in Wave–Current Flow: Implication for Coastal Studies
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Volume 128, Issue 8
Abstract
High turbulence intensities generated by waves in the wave bottom boundary layer affect the mean current velocity and should be taken into account for calculation of currents in the presence of waves. This influence of the wave-induced turbulence on the mean current can be schematized by introducing an “apparent” bed roughness, which is larger than the physical bottom roughness. Apparent bed roughness is defined here as roughness that provides the same depth-mean velocity for current alone configuration as for the wave–current flow. A one-dimensional vertical turbulence closure model that allows detailed time dependent flow modeling has been applied for apparent roughness computations. The domain of variable parameters is chosen according to the Israeli near-shore conditions. An approximate expression for apparent bed roughness calculations as a function of wave and current parameters based on this turbulence closure model is derived. Simulation of flow patterns on the Tel Aviv coast using the three-dimensional Costal and Marine Engineering Research Institute flow model and implementing apparent roughness maps, calculated by the approximate expression, has been performed.
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References
Arnskov, M. M., Fredsøe, J., and Sumer, B. M.(1993). “Bed shear stress measurements over a smooth bed in three-dimensional wave-current motion.” Coastal Eng., 20, 277–316.
Asano, T., and Iwagaki, Y. (1984). “Bottom turbulent boundary layer in wave-current coexisting systems.” Proc., 19th Int. Conf. on Coastal Engineering, Houston, 2397–2413.
Asano, T., Nakagawa, M., and Iwagaki, Y. (1986). “Changes in current properties due to wave superimposing.” Proc., 20th Int. Conf. on Coastal Engineering, Taipei, Taiwan, 925–939.
Battjes, J. A., and Janssen, J. P. F. M. (1978). “Energy loss and set-up due to breaking of random waves.” Proc., 16th Int. Conf. Coastal Engineering, ASCE, New York, 509–587.
Bobyleva, L. M., Zilitinkevich, S. S., and Laikhtman, D. L. (1965). “Turbulent regime in a thermally stratified planetary atmospheric boundary layer.” Proc., Int. Colloquium on the Microstructure of the Atmosphere and the Effect of Turbulence on Radiowave Propagation, Moscow.
Burchard, H., Petersen, O., and Rippeth, T. P.(1998). “Comparing the performance of the Mellor-Yamada and the two equation turbulence models.” J. Geophys. Res., [Oceans], 103(C5), 10543–10554.
Celik, I., and Rodi, W.(1984). “Simulation of free-surface effects in turbulent channel flows.” PCH, PhysicoChem. Hydrodyn., 5(3/4), 217–227.
Cheung, T. K., and Street, R. L.(1988). “The turbulent layer in water at an air–water interface.” J. Fluid Mech., 194, 133–151.
Christoffersen, J. E., and Jonsson, I. G.(1985). “Bed friction and dissipation in a combined current and wave motion.” Ocean Eng., 12, 387–423.
Coffey, F. C., and Nielsen, P. (1985). “Aspects of wave current boundary layer flows.” Proc., 19th Int. Conf. on Coastal Engineering, 1984, ASCE, New York, 2232–2245.
Coffey, F. C., and Nielsen, P. (1986). “The influence of waves on current profiles.” Proc., 20th Int. Conf. on Coastal Engineering, 1984, ASCE, Taipei, 82–96.
Craig, P. D.(1996). “Velocity profiles and surface roughness under breaking waves.” J. Geophys. Res., [Oceans], 101(C1), 1265–1277.
Craig, P. D., and Banner, M. L.(1994). “Modeling wave-enhanced turbulence in the ocean surface layer.” J. Phys. Oceanogr., 24, 2546–2559.
Davies, A. G.(1986). “A numerical model of the wave boundary layer.” Cont. Shelf Res., 6, 715–739.
Davies, A. G. (1990). “A model of the vertical structure of the wave and current bottom boundary layer.” Modeling marine systems, A. M. Davies, ed., Vol. 2, Chap. 10, CRC, Boca Raton, Fla, 263–297.
Davies, A. G.(1991). “Transient effects in wave-current boundary layer flow.” Ocean Eng., 18, 75–100.
Davies, A. G., Soulsby, R. L., and King, H. L.(1988). “A model of the vertical structure of the wave and current bottom boundary layer.” J. Geophys. Res., [Oceans], 93(C4), 491–508.
Fredsøe, J.(1984). “Turbulent boundary layer in wave-current motion.” J. Hydraul. Eng., 110(8), 1103–1120.
Fredsøe, J., Andersen, K. H., and Sumer, B. M.(1999). “Wave plus current over ripple-covered bed.” Coastal Eng., 38, 177–221.
Fredsøe, J., and Deigaard, R. (1992). Mechanics of coastal sediment transport, World Scientific, Singapore.
Grant, W. D., and Madsen, O. S.(1979). “Combined wave and current interaction with a rough bottom.” J. Geophys. Res., C: Oceans Atmos., 84(C4), 1797–1808.
Jensen, B. L., Sumer, B. M., and Fredsøe, J.(1989). “Turbulent oscillatory boundary layers at high Reynolds numbers.” J. Fluid Mech., 206, 265–297.
Jonsson, I. G. (1967). “Wave boundary layers and friction factors.” Proc., 10th Int. Conf. Coastal Engineering, ASCE, New York, 127.
Jonsson, I. G., and Carlsen, N. A.(1976). “Experimental and theoretical investigations in an oscillatory turbulent boundary layer.” J. Hydraul. Res., 14, 45.
Justesen, P.(1988). “Prediction of turbulent oscillatory flow over a rough bed.” Coastal Eng., 12, 257–284.
Kajiura, K.(1968). “A model of the bottom boundary layer in water waves.” Bull. Earthquake Res. Inst., Univ. Tokyo, 46, 75.
Kamphuis, J. W.(1975). “Friction factor under oscillatory waves.” J. Waterw., Harbors, Coastal Eng. Div., Am. Soc. Civ. Eng., 101(2), 135–144.
Kemp, P. H., and Simons, R. R.(1982). “The interaction between waves and a turbulent current: waves propagating with the current.” J. Fluid Mech., 116, 227–250.
Kemp, P. H., and Simons, R. R.(1983). “The interaction between waves and a turbulent current: waves propagating against the current.” J. Fluid Mech., 130, 73–89.
King, H. L., Davies, A. G., and Soulsby, R. L. (1985). “A numerical model of the turbulent boundary layer beneath surface waves and tides.” Rep. No. 196, Inst. of Oceanographic Science, Taunton, England.
Kit, E., and Pelinovsky, E.(1998). “Dynamical models for cross-shore transport and equilibrium bottom profiles.” J. Waterw., Port, Coastal, Ocean Eng., 124(3), 138–146.
Kit, E., and Perlin, A. (1999). “Longshore sediment drift on the coast of Israel.” Proc., 5th Int. Conf. on Coastal and Port Engineering (COPEDEC V), G. P. Mocke, ed., Cape Town, South Africa, 68–79.
Klopman, G. (1994). “Vertical structure of the flow due to waves and current.” Progress Rep. No. H840.30, Part II, Delft Hydraulics, prepared for Rijkwaterstaat, Tidal WaterDivision and Commission of the European Communities, Directorate General XII, Delft, The Netherlands.
Li, Z., and Davies, A. G.(1996). “Towards predicting sediment transport in combined wave-current flow.” J. Waterw., Port, Coastal, Ocean Eng., 122(4), 157–164.
Lodahl, C. R., Sumer, B. M., and Fredsøe, J.(1998). “Turbulent combined oscillatory flow and current in a pipe.” J. Fluid Mech., 373, 313–348.
Lundgren, H. (1973). “Turbulent currents in the presence of waves.” Proc., 13th Int. Conf. on Coastal Engineering, 1972, ASCE, New York, 623–634.
Madsen, O. S. (1991). “Simple models for turbulent wave-current bottom boundary layer flow.” Dredging Research Program; Final Rep., Washington, D.C.
Mathisen, P. P., and Madsen, O. S.(1996a). “Waves and current over a fixed ripped bed: Bottom roughness experienced by waves in the presence and absence of currents.” J. Geophys. Res., [Oceans], 101(C7), 16533–16542.
Mathisen, P. P., and Madsen, O. S.(1996b). “Waves and current over a fixed ripped bed: Bottom roughness experienced by currents in the presence of waves.” J. Geophys. Res., [Oceans], 101(C7), 16543–16550.
Mellor, G. L., and Yamada, T.(1982). “Development of a turbulence closure model for geophysical fluid problems.” Rev. Geophys., 20, 851–875.
Myrhaug, D. (1984). “A theoretical model of combined wave and current boundary layers near a rough bottom.” Proc., 3rd Int. Symp. on Offshore Mechanics and Arctic Engineering, J. S. Chung, ed., ASME, New York, 559–568.
Nezu, I., and Rodi, W.(1986). “Open-channel flow measurements with a laser Doppler anemometer.” J. Hydraul. Eng., 112(5), 335–355.
Nielsen, P. (1992). Coastal bottom boundary layers and sediment transport, World Scientific, Singapore.
Nikuradse, J. (1932). Gesetzmässigkeiten der turbulenten Ströming in glatten Rohren, VDA-Forschungsheft, Berlin.
Perlin, A. (2000). “Development of some aspects of a global sedimentological transport model at the Israeli coast.” PhD thesis, Tel Aviv Univ., Tel Aviv, Israel.
Perlin, A., and Kit, E.(1999a). “Longshore sediment transport on Mediterranean coast of Israel.” J. Waterw., Port, Coastal, Ocean Eng., 125(2), 80–87.
Perlin, A., and Kit, E. (1999b). “Wave climate evaluation for sedimentological studies.” Proc., Int. MEDCOAST Conf. on Wind and Wave Climate of the Mediterranean and the Black Sea (NATO TU-WAVES Project), Antalya, Turkey, 237–250.
Simons, R. R., Grass, A. J., and Mansour-Tehrani, M. (1992) “Bottom shear stresses in the boundary layer under waves and currents crossing at right angles.” Proc., 23rd Int Conf. on Coastal Engineering, Venice, Italy, 604–617.
Simons, R. R., Kyriacou, A., Soulsby, R. L., and Davies, A. G. (1988). “Predicting the nearbed turbulent flow in waves and currents.” Proc., IAHR Symp. on Mathematical Modeling of Sediment Transport in the Coastal Zone, Copenhagen, Denmark.
Sladkevich, M., Militeev, A. N., Rubin, H., and Kit, E.(2000). “Simulation of transport phenomena in a shallow aquatic environment.” J. Hydraul. Eng., 126(2), 128–136.
Sleath, J. F. A.(1987). “Turbulent oscillatory flow over rough beds.” J. Fluid Mech., 182, 369.
Sleath, J. F. A. (1990). “Velocities and bed friction in combined flows.” Proc., 22nd Int. Conf. on Coastal Engineering, ASCE, Delft, The Netherlands, 450–463.
Sleath, J. F. A.(1991). “Velocity and shear stresses in wave-current flows.” J. Geophys. Res., [Oceans], 96(C8), 15237–14244.
Smith, J. D. (1977). “Modeling of sediment transport on continental shelves.” The sea, E. D. Goldberg et al., eds., Vol. 6, Interscience, New York, 539–577.
Sumer, B. M., Jensen, B. L., and Fredsøe, J. (1987). “Turbulence in oscillatory boundary layers.” Advances in turbulence, G. Comte-Bellot and J. Mathieu, eds. Springer, Berlin, 556.
Tanaka, H., Chian, C. S., and Shuto, N.(1983). “Experiments on an oscillatory flow accompanied with a unidirectional motion.” Coast. Eng. Japan, 26, 19–37.
Tanaka, H., and Shuto, N.(1981). “Friction coefficient for a wave current coexisting system.” Coast. Eng. Japan, 24, 105–128.
von Kármán, Th. (1930). “Mechanische ähnlichkeit und turbulenz.” Nach. Ges. Wiss. Göttingen, Math. Phys. Klasse, 58.
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Published In
Journal of Hydraulic Engineering
Volume 128 • Issue 8 • August 2002
Pages: 729 - 741
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Oct 3, 2000
Accepted: Feb 8, 2002
Published online: Jul 15, 2002
Published in print: Aug 2002
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