Skip to main content
SpringerLink
Log in

Nonlinear solution for an applied overpressure on a moving stream

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Summary

A boundary-integral method is given for the numerical solution of the exact equations for steady two-dimensional potential flow past a fixed pressure distribution on the free surface of a fluid of infinite depth. The variation in wave-resistance coefficient with overpressure and Froude number is presented. A drag-free nonlinear profile is obtained.

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. H. Lamb, Hydrodynamics, Dover Publications, New York (1945).

    Google Scholar 

  2. C. von Kerczek and N. Salvesen, Nonlinear free-surface effects — the dependence on Froude number, Proc. 2nd Int. Conference on Numerical Ship Hydrodynamics, 292–300, Berkeley (1977).

  3. J.-M. Vanden-Broeck, L. W. Schwartz and E. O. Tuck, Divergent low-Froude-number series expansion of nonlinear free-surface flow problems, Proc. R. Soc. Lond. A. 361 (1978) 207–224.

    Google Scholar 

  4. L. W. Schwartz and J.-M. Vanden-Broeck, Numerical solution of the exact equations for capillary-gravity waves, J. Fluid Mech. 95 (1979) 119–139.

    Google Scholar 

  5. J.-M. Vanden-Broeck, Nonlinear stern waves, J. Fluid Mech. 96 (1980) 603–611.

    Google Scholar 

  6. V. J. Monacella, On ignoring the singularity in the numerical evaluation of Cauchy Principal Value integrals, David W. Taylor Naval Ship Research and Development Center, Rpt. No. 2356 (1967).

  7. M. Abramowitz and I. Stegun, (eds.), Handbook of mathematical functions, NBS Ap. Math. Ser. 55, U.S. Government Printing Office, Washington, 1964.

    Google Scholar 

  8. L. W. Schwartz, Computer extension and analytic continuation of Stokes' expansion for gravity waves, J. Fluid Mech. 62 (1974) 553–578.

    Google Scholar 

  9. J.-M. Vanden-Broeck and L. W. Schwartz, Numerical computation of steep gravity waves in shallow water, Phys. Fluids 22 (1979) 1868–1871.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Adelaide, 5001, Adelaide, S.A., Australia

    L. W. Schwartz

Authors
  1. L. W. Schwartz
    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

Schwartz, L.W. Nonlinear solution for an applied overpressure on a moving stream. J Eng Math 15, 147–156 (1981). https://doi.org/10.1007/BF00052516

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00052516

Keywords

Search

Navigation