Abstract
A numerical study of the two-dimensional stratified flow in a channel is described. The internal gravity waves excited by a mountain-shaped obstacle is studied near their ‘ resonant’ condition, which means that the group and phase velocity of the fastest-mode linear internal gravity wave are equal to the basic horizontal flow velocity. At resonance, linear theory diverges and the waves can not propagate upstream of the obstacle. However, in the real fluid, upstream-advancing solitary waves or ‘ solitons’ are generated periodically due to the nonlinearlity of the waves. In this study, at a Reynolds number higher than the previous numerical study, the upstream-advancing solitary waves of ‘equal’ amplitudes are obtained in the case of the nearly two-layer fluid.
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