A contour dynamics algorithm for axisymmetric flow

[1]  M. A. Jaswon,et al.  Integral equation methods in potential theory and elastostatics , 1977 .

[2]  A. W. Marris,et al.  On the general impossibility of controllable axi-symmetric Navier-Stokes motions , 1977 .

[3]  Contour dynamics method for solving the Grad–Shafranov equation with applications to high beta equilibria , 2004 .

[4]  R. Pierrehumbert A family of steady, translating vortex pairs with distributed vorticity , 1980, Journal of Fluid Mechanics.

[5]  Paul F. Byrd,et al.  Handbook of elliptic integrals for engineers and scientists , 1971 .

[6]  R.N.L. Smith Direct Gauss quadrature formulae for logarithmic singularities on isoparametric elements , 2000 .

[7]  David G. Dritschel,et al.  The nonlinear evolution of rotating configurations of uniform vorticity , 1986, Journal of Fluid Mechanics.

[8]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[9]  D. W. Moore,et al.  The response of Hill's spherical vortex to a small axisymmetric disturbance , 1978, Journal of Fluid Mechanics.

[10]  S. J. Lin,et al.  The mixing layer: deterministic models of a turbulent flow. Part 3. The effect of plane strain on the dynamics of streamwise vortices , 1984, Journal of Fluid Mechanics.

[11]  V. S. Sadovskii Vortex regions in a potential stream with a jump of Bernoulli's constant at the boundary , 1971 .

[12]  J. A. Tjon,et al.  Resonant production of solitons in the RLW equation , 1979 .

[13]  J. Norbury,et al.  A family of steady vortex rings , 1973, Journal of Fluid Mechanics.

[14]  John A. Crow Quadrature of integrands with a logarithmic singularity , 1993 .

[15]  D. Dritschel Vortex properties of two-dimensional turbulence , 1993 .

[16]  Norman J. Zabusky,et al.  Contour Dynamics for the Euler Equations in Two Dimensions , 1997 .

[17]  D. Bierens de . Haan,et al.  Nouvelles tables d'intégrales définies , 1939 .

[18]  The dynamics of a columnar vortex in an imposed strain , 1984 .

[19]  F. Bark,et al.  On vertical boundary layers in a rapidly rotating gas , 1976, Journal of Fluid Mechanics.

[20]  Y. Oshima Head-on Collision of Two Vortex Rings , 1978 .

[21]  F. Dyson,et al.  The Potential of an Anchor Ring. Part II , 1893 .

[22]  F. Hussain,et al.  Cross‐linking of two antiparallel vortex tubes , 1989 .

[23]  H. Helmholtz LXIII. On Integrals of the hydrodynamical equations, which express vortex-motion , 1858 .

[24]  David G. Dritschel,et al.  Contour surgery: a topological reconnection scheme for extended integrations using contour dynamics , 1988 .

[25]  G. Batchelor,et al.  An Introduction to Fluid Dynamics , 1968 .

[26]  S. Crow Stability theory for a pair of trailing vortices , 1970 .

[27]  D. I. Pullin,et al.  Contour Dynamics Methods , 1992 .

[28]  S. Lichter,et al.  Entrainment and detrainment from a model boundary layer , 2003, Journal of Fluid Mechanics.

[29]  D. Dritschel The stability and energetics of corotating uniform vortices , 1985, Journal of Fluid Mechanics.

[30]  W. Cody Chebyshev Approximations for the Complete Elliptic Integrals K and E , 1965 .

[31]  Paul Russell Schatzle,et al.  An Experimental Study of Fusion of Vortex Rings , 1987 .

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

[33]  G. Corcos,et al.  The mixing layer: deterministic models of a turbulent flow. Part 2. The origin of the three-dimensional motion , 1984, Journal of Fluid Mechanics.

[34]  P. Jacobs,et al.  Inviscid evolution of stretched vortex arrays , 1986, Journal of Fluid Mechanics.