Tubes, Sheets and Singularities in Fluid Dynamics: Proceedings of the NATO ARW held in Zakopane, Poland, 27 September 2001, Sponsored as an IUTAM Sym [Hardcover]

Modern experiments and numerical simulations show that the long-known coherent structures in turbulence take the form of elongated vortex tubes and vortex sheets. The evolution of vortex tubes may result in spiral structures which can be associated with the spectral power laws of turbulence. The mutual stretching of skewed vortex tubes, when they are close to each other, causes rapid growth of vorticity. Whether this process may or may not lead to a finite-time singularity is one of the famous open problems of fluid dynamics.

This book contains the proceedings of the NATO ARW and IUTAM Symposium held in Zakopane, Poland, 2-7 September 2001. The papers presented, carefully reviewed by the International Scientific Committee, cover various aspects of the dynamics of vortex tubes and sheets and of their analogues in magnetohydrodynamics and in quantum turbulence. The book should be a useful reference for all researchers and students of modern fluid dynamics.

Vortex Structure, Stability and Evolution.- Simulation of vortex sheet roll-up: chaos, azimuthal waves, ring merger.- Merging of non-symmetric Burgers vortices.- Effect of stretching on vortices with axial flow.- Optimal two-dimensional perturbations in a stretched shear layer.- Advection-diffusion of a passive scalar in the flow of a decaying vortex.- Linear stability of a vortex ring revisited.- The vortex-in-cell method for the study of three-dimensional vortex structures.- L-transition from right- to left-handed helical vortices.- Dynamical behaviour of counter-curren axisymmetric shear flows.- Singular Vortex Filaments.- Complexity measures of tangled vortex filaments.- Corotating five point vortices in a plane.- On motion of a double helical vortex in a cylindrical tube.- Intensive and weak mixing in the chaotic region of a velocity field.- Evolution of the anisotropy of the quantum vortex tangle.- Motion of vortex lines in quantum mechanics.- Magnetic Structure, Topology l#R