Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-19T08:36:37.074Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear water waves generated by an accelerated circular cylinder

Published online by Cambridge University Press:  19 April 2006

H. J. Haussling  and
R. M. Coleman
H. J. Haussling
Affiliation:
David W. Taylor Naval Ship Research and Development Center, Bethesda, Maryland 20084
R. M. Coleman
Affiliation:
David W. Taylor Naval Ship Research and Development Center, Bethesda, Maryland 20084
Get access Rights & Permissions [Opens in a new window]

Abstract

Numerical solutions for the irrotational flow of an incompressible fluid about a circular cylinder accelerated from rest below a free surface are presented. The usual restriction to linearized free-surface boundary conditions has been avoided. The transient period from the start to a local steady state or to the development of a very steep wave slope is investigated in terms of free-surface profiles and body-surface pressure distributions. Linear and nonlinear results are used to illustrate the transition from deep submergence when nonlinear effects are small to shallow submergence when linearized analysis is inaccurate.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 92 , Issue 4 , 27 June 1979 , pp. 767 - 781
Copyright
© 1979 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bai, K. J. 1975 A localized finite-element method for steady two-dimensional free-surface flow probelms. Proc. 1st Int. Conf. Numerical Ship Hydrodyn., p. 209. David W. Taylor. Naval Ship Research and Development Center.
Giesing, J. P. & Smith, A. M. O. 1967 Potential flow about two-dimensional hydrofoils. J. Fluid Mech. 28, 113.Google Scholar
Haussling, H. J. & Coleman, R. M. 1977 Finite-difference computations using boundary-fitted co-ordinates for free-surface potential flows generated by submerged bodies. Proc. 2nd Int. Conf. Numerical Ship Hydrodyn. University of California at Berkeley.
Havelock, T. H. 1936 The forces on a circular cylinder submerged in a uniform stream. Proc. Roy. Soc. A 157, 526.Google Scholar
Longuet-Higgins, M. S. & Cokelet, E. D. 1976 The deformation of steep surface waves. I. A numerical method of computation. Proc. Roy. Soc. A 350, 1.Google Scholar
Mei, C. C. & Chen, H. S. 1976 A hybrid element method for steady linearized free-surface flows. Int. J. Num. Meth. Eng. 10, 1153.Google Scholar
Shapiro, R. 1975 Linear filtering. Math. Comp. 29, 1094.Google Scholar
Thames, F. C., Thompson, J. F., Mastin, C. W. & Walker, R. L. 1977 Numerical solution for viscous and potential flow about arbitrary two-dimensional bodies using body-fitted co-ordinate systems. J. Comp. Phys. 24, 245.Google Scholar
Zarda, P. R. & Marcus, M. S. 1977 Finite element solutions of free surface flows. 6th NASTRAN Users’ Coll. N.A.S.A. Conf. Publ. 2018, p. 27.