Journal article

Numerical solitary wave interaction: The order of the inelastic effect

TR Marchant

ANZIAM Journal | Published : 2002

Abstract

AbstractSolitary wave interaction is examined using an extended Benjamin-Bona-Mahony (eBBM) equation. This equation includes higher-order nonlinear and dispersive effects and is is asymptotically equivalent to the extended Korteweg-de Vries (eKdV) equation. The eBBM formulation is preferable to the eKdV equation for the numerical modelling of solitary wave collisions, due to the stability of its finite-difference scheme. In particular, it allows the interaction of steep waves to be modelled, which due to numerical instability, is not possible using the eKdV equation.Numerical simulations of a number of solitary wave collisions of varying nonlinearity are performed for two special cases corre..

View full abstract

Citation metrics