Skip to main content
Log in

Development of Green-Naghdi models with a wave-absorbing beach for nonlinear, irregular wave propagation

  • Published:
Journal of Marine Science and Technology Aims and scope Submit manuscript

Abstract

Two-dimensional and three-dimensional Green-Naghdi (GN) models equipped with a numerical wave-absorbing beach have been developed to simulate nonlinear, regular, and irregular wave propagation. The numerical beach is introduced near the downstream boundary to absorb outgoing waves. An appropriate amount of numerical damping and an appropriate length of numerical beach are investigated using numerical experiments. The results show that the GN models with a numerical beach work very well in simulating wave propagation in water in a small computational domain.

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. Green AE, Laws N, Naghdi PM (1974) On the theory of water waves. Proc R Soc London A 338:43–55

    Google Scholar 

  2. Green AE, Naghdi PM (1974) A nonlinear theory of water waves for finite and infinite depths. Philos Trans R Soc London A 320:37–70

    Google Scholar 

  3. Webster WC, Shields JJ (1990) Applications of high-level, Green-Naghdi theory to fluid flow problems. IUTAM Symposium on Marine Dynamics, Brunel University. Elsevier, London, pp 109–125

    Google Scholar 

  4. Webster WC, Kim DY (1990) The dispersion of large-amplitude gravity waves in deep water. Proceedings of the 18th Symposium on Naval Hydrodynamics, pp 397–415

  5. Xu Q, Pawlowski JS, Baddour RE (1993) Simulation of non-linear, irregular waves by Green-Naghdi theory. 8th International Workshop on Water Waves and Floating Bodies, St. John's, Canada

  6. Xu Q, Pawlowski JS, Baddour RE (1993) Development and application of uni- and multi-directional Green-Naghdi method for nonlinear, irregular wave propagation. Proceedings of the 2nd Marine Dynamics Conference, Vancouver, Canada

  7. Chan RK (1975) Two-dimensional time-dependent calculations of large-amplitude surface gravity waves due,to a surface disturbance. Proceedings of the 1st International Conference on Numerical Ship Hydrodynamics, pp 315–331

  8. Cointe R (1989) Nonlinear simulation of transient free surface flows. Proceedings of the 5th International Conference on Numerical Ship Hydrodynamics, pp 239–250

  9. Cao Y, Beck RF, Schultz WW (1993) An absorbing beach for numerical simulations of nonlinear waves in a wave tank. 8th International Workshop on Water Waves and Floating Bodies, St. John's, Canada

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Xu, Q., Pawlowski, J.S. & Baddour, R.E. Development of Green-Naghdi models with a wave-absorbing beach for nonlinear, irregular wave propagation. J Mar Sci Technol 2, 21–34 (1997). https://doi.org/10.1007/BF01245934

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01245934

Key words

Navigation