Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-25T15:45:48.907Z Has data issue: false hasContentIssue false
  • English
  • Français

Estimates of the errors incurred in various asymptotic representations of wave packets

Published online by Cambridge University Press:  20 April 2006

M. Gaster
M. Gaster
Affiliation:
National Maritime Institute, Teddington, Middlesex, U.K.
Get access Rights & Permissions [Opens in a new window]

Abstract

An earlier paper (Gaster 1981) discussed different asymptotic representations of the isolated wave packet that evolved from an impulsive point excitation of a laminar boundary layer. Comparisons of the various asymptotic representations of the integral describing these packets were made on the basis of numerical evbluations of the various approximations together with the direct numerical solutions of the integral. Here the problem is pursued by analytical means, and error estimates are obtained for the different methods used.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 121 , August 1982 , pp. 365 - 377
Copyright
© 1982 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

Craik, A. D. D. 1981 The development of wavepackets in unstable flows. Proc. R. Soc. Lond. A 373, 457.Google Scholar
Gaster, M. 1968a The development of three-dimensional wave packets in a boundary layer. J. Fluid Mech. 32, 173.Google Scholar
Gaster, M. 1968b Growth of disturbances in both space and time. Phys. Fluids 11, 723.Google Scholar
Gaster, M. 1978a Series representation of the eigenvalues of the Orr-Sommerfeld equation. J. Comp. Phys. 29, 143.Google Scholar
Gaster, M. 1978b On the application of ray mathematics to non-conservative systems. Geo Fluid Dynamical Wave Mathematics, Applied Mathematics Group, University of Washington, Seattle, Washington (1977), p. 61.
Gaster, M. 1981 The propagation of linear wave packets in laminar boundary layers. A.I.A.A.J. 19, 419.Google Scholar
Landahl, M. T. 1972 Wave mechanics of breakdown. J. Fluid Mech. 56, 775.Google Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. McGraw-Hill.
Stewartson, K. 1973 Some aspects of non-linear stability theory. Survey Lecture, XIth Symp. on Advanced Problems and Methods in Fluid Mechanics, Polish Academy of Sciences.