Skip to main content
SpringerLink
Log in

Numerical Simulation of Wave Motions in a Channel of Constant Depth

  • Published:
Physical Oceanography

Abstract

In the present work, we study the accuracy of description of wave motions with the help of a numerical model for a basin of simple geometry (a channel of constant depth). To specify initial and boundary conditions and perform the comparison with the results of numerical simulations, we use analytic solutions of the differential and finite-difference problems. We consider two types of water: homogeneous and stratified. The procedure of numerical integration is carried out for a period equal to several dozens of wave periods. In the case of application of the analytic solution of the discrete problem, the accuracy of the numerical solution is very high for the entire period of computations. It is shown that the proposed numerical model satisfactorily describes wave motions and can be used for the description of geophysical processes in the regions of the World Ocean where the role played by the wave motions is significant.

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

Access this article

Log in via an institution

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

  1. G. K. Korotaev, O. A. Saenko, and C. J. Koblinsky, “Satellite altimetry observations of the Black Sea level,” J. Geophys. Res., 106, No. C1, 917–933 (2001).

    Google Scholar 

  2. G. K. Korotaev, O. A. Saenko, C. J. Koblinsky, et al., “Accuracy, methodology, and some results of assimilation of the TOPEX/ Poseidon altimetry data in the model of the general circulation in the Black Sea,” Issled. Zemli Kosm., No. 3, 3–17 (1998).

  3. G. K. Korotaev, T. Oguz, A. A. Nikiforov, et al., “Dynamics of anticyclones in the Black Sea according to the data of satellite altimetry measurements,” Issled. Zemli Kosm., No. 6, 1–10 (2002).

  4. V. L. Dorofeev and G. K. Korotaev, “Assimilation of the satellite altimetry data in the eddy-resolving model of circulation in the Black Sea,” Morsk. Gidrofiz. Zh., No. 1, 52–68 (2004).

    Google Scholar 

  5. S. G. Demyshev and G. K. Korotaev, “Numerical energy-balanced model of baroclinic currents in the ocean with uneven bottom on the grid C,” in: Numerical Models and the Results of Calibration Calculations of Currents in the Atlantic Ocean [in Russian], Institute of Computational Mathematics, Russian Academy of Sciences, Moscow (1992), pp. 163–231.

    Google Scholar 

  6. P. H. LeBlond and L. A. Mysak, Waves in the Ocean, Elsevier, Amsterdam (1978).

    Google Scholar 

  7. J. Pedlosky, Geophysical Fluid Dynamics, Springer, New York (1982).

    Google Scholar 

  8. A. E. Gill, Atmosphere-Ocean Dynamics, Academic Press, New York (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol

    V. L. Dorofeev & L. I. Sukhikh

Authors
  1. V. L. Dorofeev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. I. Sukhikh
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dorofeev, V.L., Sukhikh, L.I. Numerical Simulation of Wave Motions in a Channel of Constant Depth. Physical Oceanography 14, 140–149 (2004). https://doi.org/10.1023/B:POCE.0000048896.48173.77

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:POCE.0000048896.48173.77

Keywords

Search

Navigation