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Collisions, rebounds and skimming
Author(s) -
Kevin Liu,
F. T. Smith
Publication year - 2014
Publication title -
philosophical transactions of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.074
H-Index - 169
eISSN - 1471-2962
pISSN - 1364-503X
DOI - 10.1098/rsta.2013.0351
Subject(s) - computation , nonlinear system , oblique case , mechanics , geology , computer science , physics , algorithm , linguistics , philosophy , quantum mechanics
Repeated oblique impacts and rebounds of a solid body or bodies on horizontal shallow water are investigated through mathematical modelling. The inclinations from the horizontal are supposed small as the skimming evolves, for a thin typical body shape. The new formulation aimed at improved prediction as well as the background involved is presented together with nonlinear analysis and computation. Comparatively fast or slow collisions and rebounds are found to be of special interest over short time-scales.

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