Analytic structure of vortex sheet dynamics. Part 1. Kelvin-Helmholtz instability

Journal of Fluid Mechanics

Volumn 114, Issue , 1982, Pages 283-298

  Meiron, Daniel I ^a   Baker, Gregory R ^a   Orszag, Steven A ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS;

FLOW OF FLUIDS;

EID: 0019933212     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112082000159     Document Type: Article

References (15)

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3. Baker, G. R. Meiron, D. I. & Orszag, S. A. 1982 Generalized vortex methods for free surface flow problems. (To appear.).
4. Birkhoff, G. 1962 Helmholtz and Taylor instability in hydrodynamic instability. Proc. Symp. on Applied Math. XIII. A.M.S.
5. Gaunt, D. S. & Guttmann, A. J. 1974 Asymptotic analysis of coefficients. In Phase Transitions and Critical Phenomena, vol. 3. Academic.
6. Menikoff, R. & Zemach, C. 1980 Methods for numerical conformal mapping. J. Comp. Phys. 36, 366.
7. Moore, D. W. 1976 The stability of an evolving two-dimensional vortex sheet. Mathematika 23, 35.
8. Moore, D. W. 1979 The spontaneous appearance of a singularity in the shape of an evolving vortex sheet. Proc. R. Soc. Lond. A 365, 105.
9. Moore, D. W. & Griffith-Jones, R. 1974 The stability of an expanding oircular vortex sheet. Mathematika 21, 128.
10. Morf, R. H. Orszag, S. A. & Frisch, TJ. 1980 Spontaneous singularity in three-dimensional, inviscid, incompressible flow. Phys. Rev. Lett. 44, 572.
11. Nickel, B. G. 1980 In Cargèse Lectures in Physics. Plenum.
12. Orszag, S. A. 1970 Transform method for the evaluation of vector-coupled sums: Application to the spectral form of the vorticity equation. J. Atmoa. Sci. 27, 890.
13. Saffman, P.J. & Baker, G. R. 1979 Vortex interactions. Ann. Rev. Fluid Mech. 11, 95.
14. Sulem, C. Sulem, P. L. Bardos, C. & Frisch, U. 1982 Finite time analyticity for the two and three dimensional Kelvin-Helmholtz instability. (To appear.).
15. Van de Vooren, A. T. 1965 A numerical investigation of the rollup of vortex sheets. Dept. Math. Oroningen Univ. The Netherlands, Rep. TW-21.