Global time evolution of viscous vortex rings
暂无分享,去创建一个
[1] B. Cantwell,et al. The decay of a viscous vortex pair , 1988 .
[2] O. Phillips. The final period of decay of non-homogeneous turbulence , 1956, Mathematical Proceedings of the Cambridge Philosophical Society.
[3] T. Benjamin,et al. The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics , 1976 .
[4] Kamran Mohseni,et al. A formulation for calculating the translational velocity of a vortex ring or pair , 2006, Bioinspiration & biomimetics.
[5] Yasuhide Fukumoto,et al. Global time evolution of an axisymmetric vortex ring at low Reynolds numbers , 2008 .
[6] Y. Fukumoto. A Unified View of Topological Invariants of Fluid Flows , 2008 .
[7] F. Dyson,et al. The Potential of an Anchor Ring. Part II , 1893 .
[8] Paul H. Roberts,et al. A Hamiltonian theory for weakly interacting vortices , 1972 .
[9] R. Donnelly,et al. Dynamics of vortex rings , 1970 .
[10] J. Norbury,et al. A family of steady vortex rings , 1973, Journal of Fluid Mechanics.
[11] V. Arnold. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits , 1966 .
[12] H. Helmholtz. Über Integrale der hydrodynamischen Gleichungen, welche den Wirbelbewegungen entsprechen. , 1858 .
[13] F. Kaplanski,et al. A model for the formation of optimal vortex rings taking into account viscosity , 2005 .
[14] Paul H. Roberts,et al. Motions in a Bose condensate: IV. Axisymmetric solitary waves , 1982 .
[15] F. Dyson. The Potential of an Anchor Ring , 2010 .
[16] Morteza Gharib,et al. On the evolution of laminar vortex rings , 1997 .
[17] John O. Dabiri,et al. Fluid entrainment by isolated vortex rings , 2004, Journal of Fluid Mechanics.
[18] Yasuhide Fukumoto,et al. The velocity field induced by a helical vortex tube , 2005 .
[19] L. E. Fraenkel,et al. Examples of steady vortex rings of small cross-section in an ideal fluid , 1972, Journal of Fluid Mechanics.
[20] Kazufumi Kimoto,et al. Alpha-determinant cyclic modules and Jacobi polynomials , 2007, 0710.3669.
[21] C. Tung,et al. Motion and Decay of a Vortex Ring , 1967 .
[22] H. K. Moffatt. Generalised vortex rings with and without swirl , 1988 .
[23] G. Burton. Vortex-rings of prescribed impulse , 2003, Mathematical Proceedings of the Cambridge Philosophical Society.
[24] A numerical study of viscous vortex rings using a spectral method , 1988 .
[25] R. Wood,et al. Vortex Rings , 1901, Nature.
[26] T. Kambe,et al. Generation and Decay of Viscous Vortex Rings , 1975 .
[27] P. Saffman,et al. The Velocity of Viscous Vortex Rings , 1970 .
[28] T. Maxworthy. The structure and stability of vortex rings , 1972, Journal of Fluid Mechanics.
[29] A. Callegari,et al. Motion of a curved vortex filament with decaying vortical core and axial velocity , 1978 .
[30] H. K. Moffatt,et al. Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity , 2000, Journal of Fluid Mechanics.
[31] J. J. Sir Thomson,et al. A Treatise on the Motion of Vortex Rings: An Essay to Which the Adams Prize Was Adjudged in 1882, in the University of Cambridge , 1883 .
[32] Ionut Danaila,et al. Numerical simulation of the postformation evolution of a laminar vortex ring , 2008 .
[33] Y. Fukumoto. Three-dimensional motion of a vortex filament and its relation to the localized induction hierarchy , 2002 .
[34] H. K. Moffatt. Structure and stability of solutions of the Euler equations: a lagrangian approach , 1990, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.
[35] G. Pedrizzetti,et al. Vortex Dynamics , 2011 .
[36] Morgan Heikal,et al. A generalized vortex ring model , 2009, Journal of Fluid Mechanics.
[37] Brian J. Cantwell,et al. Vortex drift. I: Dynamic interpretation , 1993 .
[38] L. E. Fraenkel,et al. On steady vortex rings of small cross-section in an ideal fluid , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[39] G. Batchelor,et al. An Introduction to Fluid Dynamics , 1968 .
[40] Russell J. Donnelly,et al. Quantized Vortices in Helium II , 1991 .
[41] S. W. Thomson. LII. On the stability of steady and of periodic fluid motion , 1887 .
[42] H. K. Moffatt,et al. Kinematic variational principle for motion of vortex rings , 2008 .
[43] Y. Fukumoto. Higher-order asymptotic theory for the velocity field induced by an inviscid vortex ring , 2002 .
[44] William Mitchinson Hicks,et al. XV. Researches on the theory of vortex rings.—Part II , 1885, Philosophical Transactions of the Royal Society of London.