The Measurement of Incident and Reflected Spectra Using a Least Squares Method

Abstract

A least squares method to separate the incident and reflected spectra from the measured co-existing spectra is presented. This method requires a simultaneous measurement of the waves at three positions in the flume which are in reasonable proximity to each other and are on a line parallel to the direction of wave propagation. Experimental investigations have shown that there is good agreement between the incident spectra calculated by the least squares method and the incident spectra measured concurrently in a side channel.

Forces and moment on a horizontal plate due to regular and irregular waves in the presence of current

“…However, this method presented some divergences for specific values of the ratio between wavelength and distance between the probes. It has been significantly improved by Mansard and Funke [27], who used a larger number of probes (at least three), and a least square method to minimize the error. In the presence of current, the Doppler shift induced by the non homogeneous media imposes a correction in the method, as mentioned by Suh et al [28].…”

The ideal flip-through impact: experimental and numerical investigation

“…Below is derived a model for the separation of incident and reflected wave fields, following the early work of Goda and Suzuki [17] and Mansard and Funke [18]. The wave field at any location can be described by Fourier decomposition…”

“…An ad-hoc wave generation method has been implemented, following the lines of the relaxation zone technique, often used in Boussinesq-type wave models. To obtain the incident wave field for the potential-flow solver, a linear analysis method has been developed, following the lines of Goda and Suzuki [17] and Mansard and Funke [18], extended to varying depth.…”

Experimental researches on reflective and transmitting performances of quarter circular breakwater under regular and irregular waves

“…Six wave gages were placed around the model breakwater in order to record the undulation of water level. The records of the first three gages at the far right would be used to resolve the incident and reflected wave trains by use of the technique proposed by Mansard and Funke (1980). Gage-4 was fixed at the position adjacent to the front of model breakwater to record the reflected waves by up-wave circular surface.…”