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On pressure disturbance waves in channels: Solitons, jets and ripples

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Pressure disturbance waves are computed via a fully nonlinear, unsteady, boundary integral formulation for various Froude and Bond numbers. Three moving pressure distributions are introduced in the numerical model to evaluate the produced near and far-field wave patterns in a channel. For Froude numbers equal to one, classical runaway solitons are obtained on the fore of the moving pressure patch whereas "stern" waves are radiated away. "Step-like" pressure distributions give different responses to the free-surface flow, with upward breaker jets and steeper "stern" waves. For supercritical and subcritical flows, steady solitons and stationary trenches moving at the same speed of the pressure distribution are obtained, respectively. Surface tension affects directly the free-surface flow: runaway solitons are suppressed; instead, a "building-up plateau" and a capillary wave train are formed ahead and on the rear of the moving pressure patch for long computational run-times. For supercritical flows, small-scale ripples and parasitic capillaries appear on the fore of the steady soliton; oppositely, for low Froude numbers, stationary trenches become shallower compared to the corresponding pure-gravity wave solutions. Nonlinear results show that near and far-field wave patterns are significantly affected by moving pressure distributions and surface tension.

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Pressure disturbance Waves

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MOREIRA, Roger Matsumoto; [et al] – On pressure disturbance waves in channels: Solitons, jets and ripples. In 2nd International Conference on Maritime Technology and Engineering (Maritime Technology and Engineering). ISBN 9781138027275. Vol. 1 e 2 (2015), pp. 955-963

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Taylor & Francis

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