Advertisement

Journal of Hydrodynamics

, Volume 18, Issue 1, pp 132–136 | Cite as

The numerical simulation of local scour in front of a vertical-wall breakwater

Session B2

Abstract

A two-dimensional numerical wave flume was established based on an arbitrary Lagrangian-Eulerian (ALE) description of the Navier-Stokes equations for incompressible and viscous fluid, which is spatially discretized by finite element method (FEM) and marching in time with a fractional step algorithm. The second-order nonlinear Stokes waves were generated numerically and the standing waves were formed in front of a vertical-wall breakwater. The transports of uniformly noncoherent sediment bed load were modeled to simulate the local scour process at the toe of the breakwater. The scouring patterns at the earlier stage of scouring agree with that obtained in Xie’s experiment (1983).

Key words

numerical wave flume noncoherent sediment local scour pattern ALE vertical-wall breakwater 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    BRAESS, H., WRIGGERS, P., Arbitrary Lagrangian-Eulerian finite element analysis of free surface flow[J]. Computer Methods in Applied Mechanics and Engineering, 2000, 190: 95–109.CrossRefGoogle Scholar
  2. [2]
    CARTER, T.G., LIU, P.L.F. and MEI, C.C., Mass transport by waves and offshore sand bedforms [J]. Journal of Waterway, Harbours and Coastal Engineering. Div. ASCE, 1973, 99:165–184.Google Scholar
  3. [3]
    DONG Chih-ming and HUANG Ching-jer. Generation and propagation of water waves in a two-dimensional numerical viscous wave flume [J]. Journal of Waterway, Port, Coastal and Ocean Engineering, 2004, 130(3): 143–153.CrossRefGoogle Scholar
  4. [4]
    FREDS¢E. J. and DEIGAARD R., Mechanics of Coastal Sediment Transport [M]. World Scientific Publishing Co. Pte. Ltd. 1992.Google Scholar
  5. [5]
    GISLASON, K., Freds¢e, J., MAYER, S. and SUMER, B.M., The mathematical modeling of the scour in front of the toe of a rubble mound breakwater[M], In: Book of Abstracts, 27th International Coastal Engineering Conference, ASCM, Sydney, Australia, Vol. 1, Paper No. 130., 2000Google Scholar
  6. [6]
    HUGHES, T.J.R., LIU, W.K., ZIMMERMANN, T.K., Lagrangian-Eulerian finite element formulation for incompressible viscous flows [J], Computer Methods in Applied. Mechanics and Engineering. 1981, 29: 329–349.MathSciNetCrossRefGoogle Scholar
  7. [7]
    LIANG Dongfang, CHENG Liang and LI Fangjun. Numerical modeling of flow and scour below a pipeline in currents, Part II. Scour simulation [J]. Costal Engineering, 2005, 52: 43–62.CrossRefGoogle Scholar
  8. [8]
    MEI, C.C., The Applied Dynamics of Ocean Surface Waves [M]. John Wiley & Sons, Inc. 1983.Google Scholar
  9. [9]
    RAMASWAMY, B. and KAWAHARA, M., Arbitrary Lagrangian-Eulerian finite element method for unsteady, convective, incompressible viscous free surface fluid flow [J]. International Journal for Numerical Methods in Fluids, 1986, 7(10):1053–1075.CrossRefGoogle Scholar
  10. [10]
    SUMER, B. M. and Freds¢e, J., The Mechanics of Scour in the Marine Environment [M]. World Scientific Publishing Co. Pte. Ltd. 2002.Google Scholar
  11. [11]
    SUMER, B. M. and FREDS¢E, J., Experimental study of 2D scour and its protection at a rubble-mound breakwater[J]. Coastal Engineering, 2000, 40: 59–87.CrossRefGoogle Scholar
  12. [12]
    XIE Shi-leng. Scouring patterns in front of vertical breakwaters and their influences on the stability of the foundations of the breakwaters [J]. Acta Oceanologica Sinica, 1983, 5(6):808–823. (in Chinese)Google Scholar

Copyright information

© China Ship Scientific Research Center 2006

Authors and Affiliations

  1. 1.School of Civil and Hydraulic EngineeringDalian University of TechnologyDalianChina

Personalised recommendations