Author(s): A. D. Mccowan
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Keywords: No Keywords
Abstract: Different forms of Boussinesq equations are examined with respect to their derivation procedures and the simplifying assumptions used. An order of magnitude analysis is used to determine the relative importance of the main dispersive terms found in these different forms of the equations. The results of this analysis show that four distinct levels of Boussinesq type equations can be identified. These are compared numerically with analytical solutions for solitary wave propagation. It is then concluded that all four levels of Boussinesq equations can be used for modelling mildly non-linear dispersive flow, while for more strongly non-linear flow, only Boussinesq equat ions consistent with the highest level should be used. A system of such equations is then proposed for modelling shallow water dispersive flow in both one and two hori zontal dimensions.
Year: 1985