Boundary Integral Eqution Formulation for Free Surface Flow Problems in Two and Three Dimensions

  • J. E. Romate
  • P. J. Zandbergen
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


To compute the transient solution of free surface flow problems in two and three dimensions boundary integral equation formulations are considered. Consistent lower and higher order approximations based on small curvature expansions are compared and applied to a time-dependent, linear surface wave problem.


Global Error Integral Equation Method High Order Approximation Local Truncation Error Panel Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Hess, J.L.: Consistent velocity and potential expansions for higher-order surface singularity methods. McDonnell Douglas Corp., Rep. MDC J6911, 1975.Google Scholar
  2. 2.
    Hoeijmakers, H.W.M.: Numerical computation of vortical flow about wings. Nat. Aerospace Laboratory, Rep. NLR MP 83073 U, 1983.Google Scholar
  3. 3.
    Hunt, B.: The panel method for subsonic aerodynamic flows: a survey of mathematical formulations and numerical models, and an outline of the new British Aerospace scheme. VKI Lecture series 1978–4 on Comput. Fluid Dyn., 1978.Google Scholar
  4. 4.
    Longuet-Higgins, M.S.; Cokelet, E.D.: The deformation of steep surface waves on water. I. A numerical method of computation. Proc. R. Soc. London, A350, 1976, 1–26.MathSciNetMATHGoogle Scholar
  5. 5.
    Romate, J.E.: Local error analysis of 3-D integral equation methods. To appear, 1987.Google Scholar
  6. 6.
    Vinje, T.; Brevig, P.: Breaking waves on finite water depths. A numerical study. Ship Research Inst. Norway, Rep. R-111.81, Trondheim, 1981.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • J. E. Romate
    • 1
  • P. J. Zandbergen
    • 2
  1. 1.c.o. Delft HydraulicsNetherlands Technology FoundationEmmeloordThe Netherlands
  2. 2.University of TwenteEnschedeThe Netherlands

Personalised recommendations