Report on the IUTAM symposium: fundamental aspects of vortex motion

The IUTAM Symposium Fundamental Aspects of Vortex Motion was held in Tokyo, Japan, from 31 August to 4 September 1987. An account is presented of the technical sessions of that meeting. The main goals of this report are i) to provide a widely accessible record of the four-and-half day meeting; ii) to identify important new developments in the field of vortex dynamics of potential interest to a larger audience than the invited attendees; and iii) to attempt some overview comments with the benefit of hindsight that may be useful as a guide to specific papers in the proceedings and other current literature.

[1]  R. Pierrehumbert,et al.  Universal short-wave instability of two-dimensional eddies in an inviscid fluid. , 1986, Physical review letters.

[2]  M. Pulvirenti,et al.  Nonlinear stability of circular vortex patches , 1985 .

[3]  P. Gragert,et al.  Exact solution to localized-induction-approximation equation modeling smoke ring motion. , 1986, Physical review letters.

[4]  Steven A. Orszag,et al.  Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability , 1982, Journal of Fluid Mechanics.

[5]  H. Aref Stirring by chaotic advection , 1984, Journal of Fluid Mechanics.

[6]  S. Kida A vortex filament moving without change of form , 1981, Journal of Fluid Mechanics.

[7]  Schwarz Three-dimensional vortex dynamics in superfluid 4He: Line-line and line-boundary interactions. , 1985, Physical review. B, Condensed matter.

[8]  H. K. Moffatt,et al.  The degree of knottedness of tangled vortex lines , 1969, Journal of Fluid Mechanics.

[9]  T. Kambe,et al.  Acoustic wave radiated by head-on collision of two vortex rings , 1983, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[10]  J. Haas,et al.  Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities , 1987, Journal of Fluid Mechanics.

[11]  M. Lighthill On sound generated aerodynamically I. General theory , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[12]  D. W. Moore,et al.  The motion of a vortex filament with axial flow , 1972, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[13]  Luigi Sante Da Rios Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque , 1906 .

[14]  H. Hasimoto,et al.  A soliton on a vortex filament , 1972, Journal of Fluid Mechanics.

[15]  D. W. Moore,et al.  The spontaneous appearance of a singularity in the shape of an evolving vortex sheet , 1979, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[16]  T. Kambe,et al.  Motion of Distorted Vortex Rings , 1971 .

[17]  Alain Pumir,et al.  Vortex dynamics and the existence of solutions to the Navier–Stokes equations , 1987 .

[18]  Y. Oshima,et al.  Interaction of Multi-Vortex Rings , 1977 .

[19]  Da Rios,et al.  On the motion of an unbounded fluid with a vortex filament of any shape , 1906 .

[20]  Robert Krasny,et al.  Computation of vortex sheet roll-up in the Trefftz plane , 1987, Journal of Fluid Mechanics.

[21]  Bending waves on inviscid columnar vortices , 1986 .

[22]  Eric D. Siggia,et al.  Collapse and amplification of a vortex filament , 1985 .

[23]  Donald B. Bliss,et al.  The instability of short waves on a vortex ring , 1974, Journal of Fluid Mechanics.

[24]  H. Aref INTEGRABLE, CHAOTIC, AND TURBULENT VORTEX MOTION IN TWO-DIMENSIONAL FLOWS , 1983 .

[25]  James Bridges,et al.  Roles of initial condition and vortex pairing in jet noise , 1987 .

[26]  D. Küchemann,et al.  Report on the I.U.T.A.M. symposium on concentrated vortex motions in fluids , 1965, Journal of Fluid Mechanics.

[27]  K. Schwarz Generation of Superfluid Turbulence Deduced from Simple Dynamical Rules , 1982 .

[28]  C. Pozrikidis,et al.  The nonlinear instability of Hill's vortex , 1986, Journal of Fluid Mechanics.

[29]  N. Zabusky,et al.  Instability, coalescence and fission of finite-area vortex structures , 1973, Journal of Fluid Mechanics.

[30]  S. Cowley,et al.  On the stability and the numerical solution of the unsteady interactive boundary-layer equation , 1986, Journal of Fluid Mechanics.

[31]  P. Weidman On the spin-up and spin-down of a rotating fluid. Part 2. Measurements and stability , 1976, Journal of Fluid Mechanics.

[32]  H. K. Moffatt On the existence of localized rotational disturbances which propagate without change of structure in an inviscid fluid , 1986, Journal of Fluid Mechanics.

[33]  E. J. Hopfinger,et al.  Vortex solitary waves in a rotating, turbulent flow , 1982, Nature.

[34]  Richard E. Kronauer,et al.  The formation of vortex streets , 1962, Journal of Fluid Mechanics.

[35]  J. Jiménez On the linear stability of the inviscid Kármán vortex street , 1987, Journal of Fluid Mechanics.

[36]  E. J. Hopfinger,et al.  Wave motions on vortex cores , 1985, Journal of Fluid Mechanics.

[37]  Bayly Three-dimensional instability of elliptical flow. , 1986, Physical review letters.

[38]  D. I. Meiron,et al.  Difficulties with three‐dimensional weak solutions for inviscid incompressible flow , 1986 .

[39]  Tatsuya Matsui,et al.  Preliminary study of mutual slip‐through of a pair of vortices , 1978 .

[40]  D. Dritschel Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows , 1988, Journal of Fluid Mechanics.

[41]  Frank T. Smith,et al.  A structure for laminar flow past a bluff body at high Reynolds number , 1985, Journal of Fluid Mechanics.

[42]  D. W. Moore,et al.  The density of organized vortices in a turbulent mixing layer , 1975, Journal of Fluid Mechanics.

[43]  R. Mehta Aerodynamics of Sports Balls , 1985 .

[44]  Emil J. Hopfinger,et al.  Coalescing of geostrophic vortices , 1987, Journal of Fluid Mechanics.