Numerical Investigations on Harbor Oscillations Induced by Falling Objects

In this paper,the open-sourced computational fluid dynamics software,OpenFOAM~?,is used to study the fluctuation phenomenon of the water body inside a horizontally one-dimensional enclosed harbor basin with constant water depth triggered by falling wedges with various horizontal falling positions,initial falling velocities and masses.Based on both Fourier transfo rm analysis and wavelet spectrum analysis for the time series of the free surface elevations inside the harbor basin,it is found for the first time that the wedge falling inside the harbor can directly trigger harbor resonance.The influences of the three factors(including the horizontal falling position,the initial falling velocity,and the mass)on the response amplitudes of the lowest three resonant modes are also investigated.The results show that when the wedge falls on one of the nodal points of a resonant mode,the mode would be remarkably suppressed.Conversely,when the wedge falls on one of the anti-nodal points of a resonant mode,the mode would be evidently triggered.The initial falling velocity of the wedge mainly has a remarkable effect on the response amplitude of the most significant mode,and the latter shows a gradual increase trend with the increase of the former.While for the other two less significant modes,their response amplitudes fluctuate around certain constant values as the initial falling velocity rises.In general,the response amplitudes of all the lowest three modes are shown to gradually increase with the mass of the wedge.

Study on Influences of Fringing Reef on Harbor Oscillations Triggered by N-Waves

Influences of topographic variations of the offshore fringing reef on the harbor oscillations excited by incident Nwaves with different amplitudes and waveform types are studied for the first time.Both the propagation of the Nwaves over the reef and the subsequently-induced harbor oscillations are simulated by a Boussinesq-type numerical model,FUNWAVE-TVD.The present study concentrates on revealing the influences of the plane reef-face slope,the reef-face profile shape and the lagoon width on the maximum runup,the wave energy distribution and the total wave energy within the harbor.It shows that both the wave energy distribution uniformity and the total wave energy gradually increase with decreasing reef-face slope.The profile shape of the reef face suffering leading-elevation Nwaves(LEN waves)has a negligible impact on the wave energy distribution uniformity,while for leading-depression N-waves(LDN waves),the latter gradually decreases with the mean water depth over the reef face.The total wave energy always first increases and then decreases with the mean water depth over the reef face.In general,the total wave energy first sharply decreases and then slightly increases with the lagoon width,regardless of the reef-face width and the incident waveform type.The maximum runup subjected to the LEN waves decreases monotonously with the lagoon width.However,for the LDN waves,its changing trend with the lagoon width relies on the incident wave amplitude.

Numerical Characterization of Harbor Oscillations in the Port of Ensenada, Mexico

A series of numerical experiments from a barotropic configuration of the General Curvilinear Ocean Model (GCOM) was conducted to analyze the response to infragravity (IG) waves of the Port of Ensenada, located within Bahia de Todos Santos (BTS), west coast of Mexico. Experiments with forcing frequencies f = 50?1 min?1, f = 30?1 min?1, f = 25?1 min?1 and f = 16.66?1 min?1 showed the expected increase of energy at the corresponding forcing frequency band and also the appearance of secondary peaks of energy at frequency bands f = 8.33?1 min?1 and f = 4.16?1 min?1 which were identified as modes f1 and f2;being the band at f = 16.66?1 min?1 the zeroth f0 mode. Maximum peak of spectral energy from the numerical experiments was found at frequency band f0 = 16.66?1 min?1 which agreed with the estimated maximum value of the amplification factor and with the T0 mode of oscillation of the port. Distribution of amplitudes inside PE for modes f0, f1 and f2 were also presented. Mode f0 represents a quarter-wave oscillation with amplitudes of the same sign;mode f1 has two nodal lines and mode f2 presents and additional one. Corresponding harbor currents were also calculated, they were in the range 20 - 160 cm?s?1. Finally, in order to elucidate the source of the external signals found in the spectral analysis of this study, the natural oscillation modes of the BTS were estimated. Although more studies are needed, BTS oscillation mode T2 = 16.82 min, was identified as the external forcing that excites larger oscillations within the port.

Computation of Long-Term Statistical Properties of Wave Agitation in Harbors

In this paper, the long-term statistical properties of wave height in an idealized square harbor with a partial opening are studied. The incident waves are propagated into the harbor numerically by the finite/infinite element method using three different wave models: (1) monochromatic wave train, (2) long-crested random wave train, and (3) short-crested random wave train. This study shows that for a given incident wave, the wave height in the harbor is affected by the wave model used. For long-term estimation of wave height exceedance probability, it is recommended that the waves be propagated into the harbor using the random wave model, and that wave heights be computed by use of the Rayleigh probability distribution.