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Boundary integral equation formulations for free-surface flow problems in two and three dimensions

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Abstract

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 free-surface wave problem.

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References

  • Hess, J. L. (1975): Consistent velocity and potential expansions for higher-order surface singularity methods. McDonnell Douglas Rep. MDC J6911

  • Hoeijmakers, H. W. M. (1983): Numerical computation of vortical flow about wings. Nat. Aerospace Laboratory, Amsterdam, Rep. NLR MP 83073 U

    Google Scholar 

  • Hunt, B. (1978): 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.

  • Longuet-Higgins, M. S.; Cokelet, E. D. (1976): The deformation of steep surface waves on water. I. A numerical method of computation. Proc. R. Soc. London Ser. A 350, 1–26

    Google Scholar 

  • Romate, J. E. (1988): Local error analysis in 3-D panel methods. J. Eng. Math. 22, 123–142

    Google Scholar 

  • Vinje, T.; Brevig, P. (1981): Breaking waves on finite water depths. A numerical study. Ship Research Inst., Trondheim, Norway, Rep. R-111.81

    Google Scholar 

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Romate, J.E., Zandbergen, P.J. Boundary integral equation formulations for free-surface flow problems in two and three dimensions. Computational Mechanics 4, 276–282 (1989). https://doi.org/10.1007/BF00301385

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  • DOI: https://doi.org/10.1007/BF00301385

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