BORE INCEPTION AND PROPAGATION BY THE NONLINEAR WAVE THEORY

Michael Amein

Abstract


The integration of the equations of the nonlinear shallow-water theory by a finite difference scheme based on the method of characteristics is programmed for digital computers. In the program, the equations of the bore propagation are coupled to the equations of the nonlinear theory, and thus a procedure for predicting the motion of the entire wave, including the bore, is established. Waves of irregular shape and experimental data are treated by an iterative method. Laboratory experiments on the inception and propagation of bores also are presented.

Keywords


nonlinear waves; bore inception and propagation; finite difference

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