Book contents
- Frontmatter
- Contents
- Preface
- 1 Fundamental properties of vorticity
- 2 Singular distributions of vorticity
- 3 Vortex momentum
- 4 Motion with surfaces
- 5 Some applications
- 6 Creation of vorticity
- 7 Dynamics of line vortices in two-dimensional flow
- 8 Vortex sheets in two dimensions
- 9 Dynamics of two-dimensional vortex patches
- 10 Axisymmetric vortex rings
- 11 Dynamics of vortex filaments
- 12 Three-dimensional vortex instability
- 13 Effects of viscosity
- 14 Miscellaneous topics
- Epilogue
- References
- Index
Epilogue
Published online by Cambridge University Press: 05 August 2012
- Frontmatter
- Contents
- Preface
- 1 Fundamental properties of vorticity
- 2 Singular distributions of vorticity
- 3 Vortex momentum
- 4 Motion with surfaces
- 5 Some applications
- 6 Creation of vorticity
- 7 Dynamics of line vortices in two-dimensional flow
- 8 Vortex sheets in two dimensions
- 9 Dynamics of two-dimensional vortex patches
- 10 Axisymmetric vortex rings
- 11 Dynamics of vortex filaments
- 12 Three-dimensional vortex instability
- 13 Effects of viscosity
- 14 Miscellaneous topics
- Epilogue
- References
- Index
Summary
For God's Sake
Let us sit upon the ground and tell sad stories
Of vortex filaments.
How some have been ill-posed, some singular,
Some poisoned by their self induction, some core size killed,
Some haunted by the mathematics they have involved.
All murderous.
For within the swirling motion that rounds the mortal circulation
Of a vortex
Keeps futility his court,
And there the non-linearity sits
Scoffing at his state and grinning at his theories
Allowing him a breath, a little scene to linearize, compute and fill with approximations
And then at last he comes and with a little inconsistency bores through the costly hopes and
Farewell …
Shakespeare, Richard II, Act 3, Scene 2 ‘Translated’ by H. C. Yuen- Type
- Chapter
- Information
- Vortex Dynamics , pp. 295Publisher: Cambridge University PressPrint publication year: 1993