Skip to main content
SpringerLink
Log in

A numerical method for non-linear flow about a submerged hydrofoil

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

Summary

A numerical method is presented for computing two-dimensional potential flow about a wing with a cusped trailing edge immersed beneath the free surface of a running stream of infinite depth. The full non-linear boundary conditions are retained at the free surface of the fluid, and the conditions on the hydrofoil are also stated exactly. The problem is solved numerically using integral-equation techniques combined with Newton's method. Surface profiles and the pressure distribution on the body are shown for different body geometries.

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. J.V. Wehausen and E.V. Laitone, Surface waves, in: Handbuch der Physik, vol. 9, Springer-Veriag (1960).

  2. N. Salvesen and C.H. von Kerezek, Numerical solutions of two-dimensional nonlinear body-wave problems. Proc. 1st. Int. Conf. on Numerical Ship Hydrodynamics (1975) 279–293.

  3. R.W. Yeung, Numerical methods in free-surface flows, Ann. Rev. Fluid Mech. 14 (1982) 395–442.

    Google Scholar 

  4. A.J. Acosta, Hydrofoils and hydrofoil craft, Ann. Rev. Fluid Mech. 5 (1973) 161–184.

    Google Scholar 

  5. L.K. Forbes, On the effects of non-linearity in free-surface flow about a submerged point vortex, J. Engineering Maths. 19 (1985) 139–156.

    Google Scholar 

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

  7. L.W. Schwartz, Nonlinear solution for an applied overpressure on a moving stream, J. Engineering Maths. 15 (1981) 147–156.

    Google Scholar 

  8. L.K. Forbes, On the wave resistance of a submerged semi-elliptical body, J. Engineering Maths. 15 (1981). 287–298.

    Google Scholar 

  9. L.K. Forbes, Non-linear, drag-free flow over a submerged semi-elliptical body, J. Engineering Maths. 16 (1982) 171–180.

    Google Scholar 

  10. V.J. Monacella, On ignoring the singularity in the numerical evaluation of Cauchy Principal Value integrals, Hydromechanics laboratory research and development report no, 2356, David Taylor Model Basin, Washington, DC. (1967).

  11. L.K. Forbes and L.W. Schwartz, Free-surface flow over a semicircular obstruction, J. Fluid Mech. 114 (1982) 209–314.

    Google Scholar 

Download references

Author information

Author notes

  1. L. K. Forbes

    Present address: Department of Mathematics, University of Queensland, 4067, St. Lucia, Queensland, Australia

Authors and Affiliations

  1. Department of Mathematics, Kansas State University, 66306, Manhattan, KS, USA

    L. K. Forbes

Authors
  1. L. K. Forbes
    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

Forbes, L.K. A numerical method for non-linear flow about a submerged hydrofoil. J Eng Math 19, 329–339 (1985). https://doi.org/10.1007/BF00042877

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00042877

Keywords

Search

Navigation