Weakly Dispersive Hydraulic Flows in a Contraction - Parametric Solutions and Linear Stability
نویسنده
چکیده
Abstract We consider the propagation of stratified fluid through a contraction near resonance, for which the governing asymptotic equation is the forced KdV equation. Steady solutions of this equation are sought which have constant, but differing amplitudes upstream and downstream of the contraction, and for which leading order dispersive effects are retained. A numerical algorithm is outlined to obtain such solutions, yielding a parametric relationship between the normalized velocity perturbation and the normalized width perturbation. Matrix methods are then used to investigate the linear stability of these solutions.
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