Laminar and Turbulent Bottom Boundary Layer Induced by Nonlinear Water Waves
Publication: Journal of Hydraulic Engineering
Volume 125, Issue 6
Abstract
Results of a numerical study to investigate wave-induced boundary layer flows are reported. In this study, the writers consider a coupled viscous-inviscid approach, in which the fully nonlinear free surface boundary conditions are satisfied in the inviscid flow calculation, while the viscous flow near the seabed is solved via the Reynolds-averaged Navier-Stokes equations, instead of the thin boundary layer equation. To simulate the turbulent flow, a two-layer k-ε model is applied. Coupling of the viscous and inviscid computations is accomplished by the direct matching of the velocity and pressure distributions on the matching boundaries. Validation of the numerical model is carried out separately for the inviscid and viscous models, and the coupling approach as a whole. The numerical results are compared with theoretical solutions and available experimental data. A parametric study of the laminar and turbulent boundary layers for highly and weakly nonlinear waves is performed using the coupled viscous-inviscid approach. The results are compared with corresponding U-tube simulations, and the discrepancy is highlighted and discussed.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bakker, W. T. ( 1974). “Sand concentration in an oscillatory flow.” Proc., 14th Int. Conf. on Coast. Engrg., 2, 1129–1148.
2.
Batchelor, G. K. ( 1967). An introduction to fluid dynamics. Cambridge University Press, Cambridge, U.K.
3.
Chen, C. J., and Chen, H. C. ( 1984). “Finite-analytic method for unsteady two-dimensional Navier-Stokes equations.” J. Comp. Phys., 53(2), 210–226.
4.
Chen, H. C., and Lee, S. K. (1996). “Interactive RANS/Laplace method for nonlinear free surface flows.”J. Engrg. Mech., ASCE, 122(2), 153–162.
5.
Chen, H. C., and Patel, V. C. ( 1988). “Near-wall turbulence models for complex flows including separation.” AIAA J., 26(6), 641–648.
6.
Chowdhury, S. A., Sato, M., and Ueno, A. ( 1997). “Numerical model of the turbulent wave boundary layer induced by finite amplitude water waves.” Appl. Oc. Res., 19(4), 201–209.
7.
Dean, R. G. ( 1965). “Stream function representation of nonlinear ocean waves.” J. Geophys. Res., 70(18), 4561–4572.
8.
Fenton, J. D. ( 1990). “Nonlinear wave theories.” The sea, 9: Ocean engineering science, Part A, B. Le Mehaute and D. Hanes, eds., Wiley, New York, 3–25.
9.
Fredsøe, J. (1984). “Turbulent boundary layer in wave-current motion.”J. Hydr. Engrg., ASCE, 110(8), 1103–1120.
10.
Hagatun, K., and Watanabe, A. ( 1986). “Oscillating turbulent boundary layers with suspended sediment.” J. Geophys. Res., 91(C11), 13045–13055.
11.
Hino, M., Kashiwayanagi, M., Nakayama, A., and Hara, T. ( 1983). “Experiments on the turbulence statistics and the structure of a reciprocating oscillatory flow.” J. Fluid Mech., Cambridge, U.K., 131, 363–400.
12.
Jensen, B. L., Sumer, B. M., and Fredsøe, J. ( 1989). “Turbulent oscillatory boundary layers at high Reynolds numbers.” J. Fluid Mech., Cambridge, U.K., 206, 265–297.
13.
Jonsson, I. G., and Carsen, N. A. (1976). “Experimental and theoretical investigations in an oscillatory turbulent boundary layer.”J. Hydr. Res., Delft, The Netherlands, 14(1), 45–60.
14.
Justesen, P. ( 1988). “Prediction of turbulent oscillatory flow over rough beds.” Coast. Engrg., 12(3), 257–284.
15.
Justesen, P., and Fredsøe, J. ( 1985). “Distribution of turbulence and suspended sediment in the wave boundary layer.” Progress Rep. 62, ISVA, Technical University of Denmark, Lyngby, Denmark, 61–67.
16.
Kajiura, K. ( 1964). “On the bottom friction in an oscillatory current.” Bull. Earthquake Res. Inst., Tokyo, 42, 147–174.
17.
Kamphuis, J. W. (1975). “Friction factor under oscillatory waves.”J. Wtrwy., Harb., and Coast. Engrg. Div., ASCE, 101(2), 135–144.
18.
Launder, B. E., and Spalding, D. B. ( 1972). Lectures in mathematical models of turbulence. Academic Press, New York.
19.
Lee, S. K., and Chen, H. C. ( 1995). “A multiblock RANS/Laplace method for the solutions of nonlinear body wave problems.” COE Rep. No. 342, Texas Engineering Experiment Station, Texas A&M University, College Station, Tex.
20.
Patel, V. C., Chon, J. T., and Yoon, J. Y. ( 1991). “Turbulent flow in a channel with a wavy wall.” J. Fluids Engrg., 113(4), 255–261.
21.
Reinecker, M. M., and Fenton, J. D. ( 1981). “A Fourier approximation method for steady water waves.” J. Fluid Mech., Cambridge, U.K., 104, 119–137.
22.
Sheng, Y. P. ( 1982). “Hydraulic applications of a second-order closure model of turbulent transport.” Conf. on Applying Res. to Hydr. Practice, 106–119.
23.
Sleath, J. F. A. ( 1987). “Turbulent oscillatory flow over rough beds.” J. Fluid Mech., Cambridge, U.K., 183, 369–409.
24.
Spalart, P. R., and Baldwin, B. S. ( 1987). “Direct simulation of a turbulent oscillating boundary layer.” NASA Tech. Memo. 89460, Ames Research Center, Moffett Field, Calif.
25.
Tanaka, H. (1989). “Bottom boundary layer under nonlinear wave motion.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 115(1), 40–57.
26.
Tanaka, H., and Shuto, N. (1984). “Friction laws and flow regimes under wave and current motion.”J. Hydr. Res., Delft, The Netherlands, 22(4), 245–261.
27.
van Doorn, T. ( 1981). “Experimental investigation of near bottom velocities in water waves without and with a current.” Rep. M1, 423, Part 1, Delft Hydraulics Laboratory, Delft, The Netherlands.
28.
Wolfshtein, M. ( 1969). “The velocity and temperature distribution in one-dimensional flow with turbulence augmentation and pressure gradient.” Int. J. Heat and Mass Transfer, 12(3), 301–318.
Information & Authors
Information
Published In
History
Published online: Jun 1, 1999
Published in print: Jun 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.