Inviscid fluid flow in an accelerating cylindrical container

@article{Moore1965InviscidFF,
  title={Inviscid fluid flow in an accelerating cylindrical container},
  author={R. E. Moore and Lawrence M. Perko},
  journal={Journal of Fluid Mechanics},
  year={1965},
  volume={22},
  pages={305 - 320}
}
The problem of the axially symmetric irrotational flow of an inviscid incompressible fluid with a free surface in a circular cylindrical container accelerating parallel to its axis is considered. A numerical procedure is developed and some interesting motions exhibiting the development of breakers, splashing and sustained oscillations of the surface are obtained by machine computation. 
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Dicksonfor their many enlightening discussionswithout which thiswork would not have been possible and R. L. Causey for suggesting the orthonormalization