Skip to main content
SpringerLink
Log in

Theoretical mean wave resistance of precursor soliton generation of single-layer flow

  • Published:
Chinese Journal of Oceanology and Limnology Aims and scope Submit manuscript

Abstract

Theoretical mean wave resistance and regional division of the energy of single-layer flow over topography is studied at the near-resonant region in the weakly nonlinear, long wave limit. The theoretical mean wave resistance is determined in terms of the 1st and 2nd conservation laws of the fKdV equation. It is proved by the asymptotic mean method that the theoretical mean wave resistance depends only on the intensity and moving velocity of the topography. The theoretical results of this paper are in good agreement with numerical calculations. Comparisons between the theoretical and numerical results showed that the theory of the present paper holds for any small compact topography.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Lee, S. J., Yates, G. T., Wu, T. Y., 1989. Experiments and analyses of upstream—advancing solitary waves generated by moving disturbance.J. Fluid Mech. 199: 569–593.

    Article  Google Scholar 

  • Shen, S. S., 1992. Forced solitary waves and hydraulic falls in two-layer flow over topography.J. Fluid Mech. 232: 583–627.

    Article  Google Scholar 

  • Wu, T. Y., 1987. Generation of upstream advancing solitons by moving disturbances.J. Fluid Mech. 184: 75–99.

    Article  Google Scholar 

  • Xu, Z. T., Shi, F. Y., Shen, S. S., 1994. A numerical calculation of forced supercritical soliton in single layer flow.J. Ocean Univ. of Qingdao 24(3): 309–319.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physical Oceanography and Physical Oceanography Laboratory, Qingdao Ocean University, 266003, Qingdao

    Xu Zhao-ting, Shi Feng-yan & Lou Shun-li

  2. Department of Mathematics and Applied Mathematics Institute, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    Samuel Shan-pu Shen

Authors
  1. Xu Zhao-ting
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shi Feng-yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Lou Shun-li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Samuel Shan-pu Shen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work supported by the Foundation of the State Education Commission “The Dynamics of Upper Ocean” and grants from The Physical Oceanography Laboratory

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao-ting, X., Feng-yan, S., Shun-li, L. et al. Theoretical mean wave resistance of precursor soliton generation of single-layer flow. Chin. J. Ocean. Limnol. 14, 330–336 (1996). https://doi.org/10.1007/BF02850553

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02850553

Key words

Search

Navigation