Oscillations induced by water surface disturbances within a rectangular harbor of parabolic bottom are investigated numerically and their behaviors on this type of bottom are studied and compared with existing analytic solutions.
The bottom parameter (the rapidity of depth variation of the parabolic bottom) is revealed to be able to affect the occurring transverse components and their resonant frequencies.
The predominant components of the oscillations generated by water surface disturbances on a parabolic bottom are the transverse modes with no node in the offshore direction and their spatial structures are well captured by the existing analytic solutions.
Similar to the observations of the oscillations induced by seafloor movements, the transverse modes with no node in the offshore direction are sensible to the initial locations of the water surface disturbances.
Different from the oscillations induced by a movable seafloor, the longitudinal oscillations generated cannot reach a steady state although their patterns may be captured with wavelet analysis and close to the theoretical predictions.