Research Papers: Ocean Engineering

Numerical Modeling of Seabed Response to Combined Wave-Current Loading

[+] Author and Article Information
J.-S. Zhang

State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering,
Hohai University,
Nanjing 210098, China;
College of Harbor,
Coastal and Offshore Engineering,
Hohai University,
Nanjing 210098, China

Y. Zhang

Postgraduate Student
Center for Marine Geotechnical Engineering Research,
Shanghai Jiao Tong University,
Shanghai 200240, China

C. Zhang

Associate Professor
State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering,
Hohai University,
Nanjing 210098, China;
College of Harbor,
Coastal and Offshore Engineering,
Hohai University,
Nanjing 210098, China

D.-S. Jeng

Griffith School of Engineering,
Griffith University, Gold Coast Campus,
Southport, QLD, 4111, Australia
e-mail: jengd2@asme.org

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received January 12, 2012; final manuscript received December 12, 2012; published online March 28, 2013. Assoc. Editor: Colin Leung.

J. Offshore Mech. Arct. Eng 135(3), 031102 (Mar 28, 2013) (7 pages) Paper No: OMAE-12-1005; doi: 10.1115/1.4023203 History: Received January 12, 2012; Revised December 12, 2012

In this paper, a numerical model is developed to study the dynamic response of a porous seabed to combined wave-current loadings. While the Reynolds-averaged Navier–Stokes equations with k-ε turbulence closure scheme and internal wave-maker function are solved for the phenomenon of wave-current interaction, Biot's poro-elastic “u-p” model is adopted for the seabed response. After validated by the laboratory measurements, this model is applied for the investigation of the effects of waves and currents on the wave-current induced pore pressures. Furthermore, the effects of currents on maximum liquefaction depths of a porous seabed is examined, and it is concluded that the opposite currents will increase the liquefaction depth up to 30% of that without currents.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.


Jeng, D.-S., 2003, “Wave-Induced Sea Floor Dynamics,” ASME Appl. Mech. Rev., 56(4), pp. 407–429. [CrossRef]
Zhou, C., Li, G., Dong, P., Shi, J., and Xu, J., 2011, “An Experimental Study of Seabed Responses Around a Marine Pipeline Under Wave and Current Conditions,” Ocean Eng., 38, pp. 226–234. [CrossRef]
Zen, K., and Yamazaki, H., 1990, “Mechanism of Wave-Induced Liquefaction and Densification in Seabed,” Soils and Foundations, 30(4), pp. 90–104. [CrossRef]
Rahman, M. S., 1997, “Instability and Movement of Oceanfloor Sediments: A Review,” Int. J. Offshore Polar Eng., 7(3), pp. 220–225.
Jeng, D.-S., and Seymour, B. R., 2007, “A Simplified Analytical Approximation for Pore-Water Pressure Build-Up in a Porous Seabed,” J. Waterway, Port, Coastal, Ocean Eng., 133(4), pp. 309–312. [CrossRef]
Jeng, D.-S., and Hsu, J. S. C., 1996, “Wave-Induced Soil Response in a Nearly Saturated Sea-Bed of Finite Thickness,” Géotechnique, 46(3), pp. 427–440. [CrossRef]
Ulker, M. B. C., Rahman, M. S., and Jeng, D.-S., 2009, “Wave-Induced Response of Seabed: Various Formulations and Their Applicability,” Appl. Ocean Res., 31(1), pp. 12–24. [CrossRef]
Jeng, D.-S., 2013, Porous Models for Wave-Seabed Interaction, Springer, New York.
Tzang, S. Y., 1998, “Unfluidized Soil Responses of a Silty Seabed to Monochromatic Waves,” Coastal Eng., 35(4), pp. 283–301. [CrossRef]
Chang, S., Lin, J., Chien, L., and Chiu, Y., 2007, “An Experimental Study on Non-Linear Progressive Wave-Induced Dynamic Stresses in Seabed,” Ocean Eng., 34, pp. 2311–2329. [CrossRef]
Hur, D. S., Kim, C. H., Kim, D. S., and Yoon, J. S., 2008, “Simulation of the Nonlinear Dynamic Interactions Between Waves, A Submerged Breakwater and the Seabed,” Ocean Eng., 35, pp. 511–522. [CrossRef]
Ulker, M., Rahman, M. S., and Guddati, M. N., 2010, “Wave-Induced Dynamic Response and Instability of Seabed Around Caisson Breakwater,” Ocean Eng., 37, pp. 1522–1545. [CrossRef]
Zhang, J.-S., Jeng, D.-S., and Liu, P. L.-F., 2011, “Numerical Study for Waves Propagating Over a Porous Seabed Around a Submerged Permeable Breakwater: PORO-WSSI II Model,” Ocean Eng., 38, pp. 954–966. [CrossRef]
Zhang, J.-S., Jeng, D.-S. J., Liu, P. L.-F., and Zhang, C., 2012, “Response of a Porous Seabed to Water Waves Over Permeable Submerged Breakwaters With Bragg Reflection,” Ocean Eng., 43, pp. 1–12. [CrossRef]
Jeng, D.-S., Ye, J. H.Zhang, J.-S., and Liu, P. L.-F., 2013, “An Integrated Model for the Wave-Induced Seabed Response Around Marine Structures: Model Verifications and Applications,” Coastal Eng., 72, pp. 1–19. [CrossRef]
Kemp, P. H., and Simons, R. R., 1982, “The Interaction of Waves and a Turbulent Current: Waves Propagating With the Current,” J. Fluid Mech., 116, pp. 227–250. [CrossRef]
Kemp, P. H., and Simons, R. R., 1983, “The Interaction of Waves and a Turbulent Current: Waves Propagating Against the Current,” J. Fluid Mech., 130, pp. 73–89. [CrossRef]
Fredsøe, J., Andersen, K. H., and Sumer, B. M., 1999, “Wave Plus Current Over a Ripple-Covered Bed,” Coastal Eng., 38, pp. 177–221. [CrossRef]
Zheng, J., and Tang, Y., 2009, “Numerical Simulation of Spatial Lag Between Wave Breaking Point and Location of Maximum Wave-Induced Current,” China Ocean Eng., 23, pp. 59–71.
Umeyama, M., 2009, “Changes in Turbulent Flow Structure Under Combined Wave-Current Motions,” J. Waterway, Port, Coastal Ocean Eng., 135, pp. 213–227. [CrossRef]
Umeyama, M., 2011, “Coupled PIV and PTV Measurements of Particle Velocities and Trajectories for Surface Waves Following a Steady Current,” J Waterway, Port, Coastal Ocean Eng., 137, pp. 85–94. [CrossRef]
Rodi, W., 1980, Turbulence Models and Their Application in Hydraulics-State-of-the-Art Review (IAHR Monographs), Taylor & Francis, London.
Lin, P., and Liu, P. L.-F., 1999, “Internal Wave-Maker for Navier–Stokes Equations Models,” J. Waterway, Port, Coastal, Ocean Eng., 125(4), pp. 207–415. [CrossRef]
Biot, M. A., 1956, “Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid, Part I: Low-Frequency Range,” J. Acoust. Soc. Am., 28, pp. 168–178. [CrossRef]
Zienkiewicz, O. C., Chang, C. T., and Bettess, P., 1980, “Drained, Undrained, Consolidating and Dynamic Behaviour Assumptions in Soils,” Geotechnique, 30(4), pp. 385–395. [CrossRef]
Wu, T. R., 2004, “A Numerical Study of Three-Dimensional Breaking Waves and Turbulence Effects,” Ph.D. thesis, Cornell University, New York.
Liu, P. L.-F., Lin, P., Chang, K. A., and Sakakiyama, T., 1999, “Numerical Modelling of Wave Interaction With Porous Structures,” J. Waterway, Port, Coastal Ocean Eng., 125(6), pp. 322–330. [CrossRef]
Bussmann, M., Kothe, D. B., and Sicilian, J. M., 2002, “Modeling High Density Ratio Incompressible Interfacial Flows,” ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. [CrossRef]
Barth, T. J., 1992, “Aspects of Unstructured Grids and Finite-Volume Solvers for the Euler and Navier–Stokes Equations,” AGARD, Special Course on Unstructured Grid Methods for Advection Dominated Flows.
Hirt, C. W., and Nichols, B. D., 1981, “Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,” J. Comput. Physics, 39, pp. 201–225. [CrossRef]


Grahic Jump Location
Fig. 1

An illustrative sketch of computational domain and boundary conditions for wave-current mode

Grahic Jump Location
Fig. 2

Comparison of simulated and measured water surface profile in W2 and WC2 cases. °: experimental measurement; –: numerical simulation.

Grahic Jump Location
Fig. 3

Comparison of simulated and measured horizontal-velocity profiles for both wave-alone and wave-current cases. °: measurement; –: simulation.

Grahic Jump Location
Fig. 4

Vertical distributions of the maximum pore pressure (|p|max/(0.5γwH)) versus soil depth (z/Hs) for various (a) wave periods and (b) wave height

Grahic Jump Location
Fig. 5

Effect of current velocity on resulted (a) wave height and (b) wavelength

Grahic Jump Location
Fig. 6

Effect of current velocity on (a) pore pressures and (b) maximum liquefied depth



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In