Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-18T22:19:50.097Z Has data issue: false hasContentIssue false
  • English
  • Français

On the application of the integral invariants and decay laws of vorticity distributions

Published online by Cambridge University Press:  20 April 2006

Lu Ting
Lu Ting
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012
Get access Rights & Permissions [Opens in a new window]

Abstract

Unsteady three-dimensional incompressible viscous flow fields induced by initial vorticity distributions are studied. Relevant invariants and decay laws of the moments of vorticity distributions are presented and shown to be useful in the numerical calculation of flow fields in two ways. First, the moments determine the leading terms of the far-field velocity, which can be employed as boundary conditions for the numerical calculation. Secondly, the deviations of the numerical results from the invariants and the decay laws can be used to measure the error of the numerical solution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 127 , February 1983 , pp. 497 - 506
Copyright
© 1983 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

Howard, L. 1957 Arch. Rat. Mech. Anal. 1, 113–138.
Liu, C. H. & Ting, L. 1982 Numerical solution of viscous flow in unbounded fluid. In Proc. 8th Int. Conf. on Numerical Methods in Fluid Dynamics, Aachen, Germany, 28 June–2 July (ed. E. Krause). Lecture Notes in Physics. Springer. (To appear.)
Lo, R. K. C. & Ting, L. 1976 Phys. Fluids 19, 912–913.
Moreau, J. J. 1948 C.R. Acad. Sci. Paris 226, 1420–1422.
Moreau, J. J. 1949 C.R. Acad. Sci. Paris 229, 100–102.
Poincaré, H. 1893 Théorie des Tourbillons (ed. G. Carré), chap. IV. Deslis Frères.
Steger, J. L. & Kutler, P. 1977 A.I.A.A. J. 15, 581–590.
Ting, L. 1981 In Advances in Fluid Mechanics (ed. E. Krause). Lecture Notes in Physics, vol. 148, pp. 67–105. Springer.
Truesdell, C. 1951 Can. J. Math. 3, 69–86.
Truesdell, C. 1954 The Kinematics of Vorticity. Indiana University Press.
Weston, R. P. & Liu, C. H. 1982 Approximate boundary condition procedure for the two-dimensional numerical solution of vortex wakes. A.I.A.A./A.S.M.E. 3rd Joint Thermo-Physics, Fluids, Plasma and Heat Transfer Conf. June, St Louis, MI, Paper no. 82–0951.Google Scholar
Wu, J. C. & Thompson, J. F. 1973 Comp. Fluids 1, 197–215.