Skip to main content
Log in

Numerical study of interactions between regular water waves and a submerged obstacle

  • Articles
  • Published:
Journal of Shanghai University (English Edition)

Abstract

The interaction between regular water waves and a submerged obstacle in a channel is studied numerically. The fluid viscosity is taken into account and the volume of fluid method is used to deal with the free surface. The incident regular waves are generated by use of numerical absorbing wave maker paddle. The present method can be used to predict the nonlinear deformations of the transmitted regular waves, and to simulate the vortex flow near the obstacle and the shear flows beneath the free surface.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ogilvie T. F., First and second order forces on a cylinder submerged under a free surface, J. Fluid Mech., 1963,16:451–472

    Article  MATH  MathSciNet  Google Scholar 

  2. Wang K. H., Wu T. Y., and Yates G. T., Scattering and diffraction of solitary waves by a vertical cylinder, Proc. 17th Symp. On Naval Hydrodyn, National Academy Press, Washington, D.C., 1989:513–522

    Google Scholar 

  3. Cooker M. J., Peregrine D. H., Vidal C., et al. The interaction between a solitary wave and a submerged semicircular cylinder, J. Fluid Mech., 1990,215:1–22

    Article  MATH  MathSciNet  Google Scholar 

  4. Wu G. X., Finite element analysis of two-dimensional nonlinear transient water waves, Applied Ocean Research, 1994, 16:363–372

    Article  Google Scholar 

  5. Harlow F. H., and Welch J. E., Numerical study of large amplitude free surface motion, Phys. Fluids, 1966, 9:842–851

    Article  Google Scholar 

  6. Hirt C. W. and Nichols B. D., Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comput. Phys., 1981, 39:201–225

    Article  MATH  Google Scholar 

  7. Wang Y. X., A study on periodic wave breaking by absored numerical wave channel, Proceedings of 4th International Offshore and Polar Engineering Conference, Osaka, Japan, April, 1994,III:32–36

    Google Scholar 

  8. Nichols B. D., Hirt C. W. and Hotchkiss R. S., SOLA-VOF: A Solution Algorithm for Transient Fluid Flow with Multiple Free boundaries, Los Alamos Scientific Laboratory Report LA-8355, 1980

  9. Wan D. C., Miao G. P. and Dai S. Q., The VOF method for study of wave run-up and breaking on a sloping structure, J. of Hydrodynamics, Ser B, 1997, 9(4):88–96

    MATH  Google Scholar 

  10. Wan D. C., Numerical simulation of the collsions between two solitary waves and the transformation of a solitary wave over backward step by VOF method, Chinese J. of Comput. Phys., 1998, 15(6):655–666

    Google Scholar 

  11. Wan D. C., Miao G. P., and Dai S. Q., The study of flows of moving body near a free surface, The Proc. of 8th Int. Conf. of Ocean and Polar Engineering (ISOPE-98), Montreal, Canada, May, 1998:24–29

  12. Wan D. C. and Dai S. Q., Numerical study of the interaction between a solitary wave and a submerged step obstacle, J. of Hydrodynamics, Ser A, 1998,13(1):95–100

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The work supported by the National Natural Science and Foundation of China (19672035) and the Development Foundation of Science and Technology of Shanghai Education Commission (96AJ01), and partially supported by the Royal society Fellowship Programme in United Kingdom (Charity No. 207043)

About this article

Cite this article

Wan, D. Numerical study of interactions between regular water waves and a submerged obstacle. J. of Shanghai Univ. 3, 30–35 (1999). https://doi.org/10.1007/s11741-999-0025-4

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11741-999-0025-4

Key words

Navigation