Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-05T04:33:04.365Z Has data issue: false hasContentIssue false

A test of the method of Fink & Soh for following vortex-sheet motion

Published online by Cambridge University Press:  19 April 2006

Gregory R. Baker
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Abstract

Fink & Soh (1978) reported a technique to calculate numerically the motion of vortex sheets. They claim it gives reliable results. This paper re-examines the error in the calculation of the velocity of mesh points representing the sheet and shows that the test case used by Fink & Soh is not an adequate one. Instead the roll-up of a vortex sheet shed by a ring wing is studied. The results obtained proved unreliable. (Although several possibilities are discussed) the reason for the breakdown in results remains unknown.

Type
Research Article
Copyright
© 1980 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

Baker, G. R. 1977 Ph.D. thesis, Dept. of Applied Math., California Institute of Technology.
Baker, G. R. 1979 J. Comp. Phys. 31, 76.
Bofah, K. K. 1975 Ph.D. thesis, Dept. of Aeronautics, California Institute of Technology.
Chorin, A. J. & Bernard, P. S. 1973 J. Comp. Phys. 13, 423.
Fink, P. T. & Soh, W. K. 1978 Proc. Roy. Soc. A 362, 195.
Kaden, H. 1931 Ing. Archiv 2, 140. (English translation. R.A.E. Library trans. no. 403.)
Kuwahara, K. & Takami, H. 1973 J. Phys. Soc. Japan 34, 247.
Maskew, G. 1977 J. Aircraft 14, 188.
Moore, D. W. 1974 J. Fluid Mech. 63, 225.
Moore, D. W. 1976 Mathematika 23, 35.
Moore, D. W. 1979 Proc. Roy. Soc. A 365, 105.
Moore, D. W. & Griffith-Jones, R. 1974 Mathematika 21, 128.
Pierce, D. 1966 J. Fluid Mech. 11, 460.
Rosenhead, L. 1931 Proc. Roy. Soc. A 134, 170.
Saffman, P. G. & Baker, G. R. 1979 Vortex interactions. Ann. Rev. Fluid Mech. 11, 95.Google Scholar
Sarpkaya, T. 1975 A.I.A.A. J. 13, 1680.
Van de Vooren, A. T. 1965 Dept. of Math., Groningen University, the Netherlands, Rep. TW-21.