The Mathematical Institute, University of Oxford, Eprints Archive

A free boundary problem arising in a model for shallow water entry at small deadrise angles

Howison, Sam and Oliver, James (2003) A free boundary problem arising in a model for shallow water entry at small deadrise angles. European Journal of Applied Mathematics . (In Press)

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Abstract

A free boundary problem arising in a model for inviscid, incompressible shallow water entry at small deadrise angles is derived and analysed. The relationship between this novel free boundary problem and the well-known viscous squeeze film problem is described. An inverse method is used to construct explicit solutions for certain body profiles and to find criteria under which the splash sheet can `split'. A variational inequality formulation, conservation of certain generalized moments and the Schwarz function formulation are introduced.

Item Type:Article
Additional Information:This paper was accepted for publication in European Journal of Applied Mathematics in May 2004.
Uncontrolled Keywords:water impact, free boundary problem, hele-shaw problem, splash jet
Subjects:D - G > Fluid mechanics
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:103
Deposited By:Sam Howison
Deposited On:25 Jun 2004
Last Modified:20 Jul 2009 14:18

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