Abstract
In this study, water surface fluctuations along the lateral direction of an open-channel flow were examined by using the multi-resolution approximation (MRA) and proper orthogonal decomposition (POD). The water surface fluctuations were measured by supersonic wave displacement sensors. In the experimental conditions, we kept the Reynolds number a constant, and systematically changed the Froude number from sub-critical flows to supercritical ones to examine differences in the water surface fluctuation characteristics with respect to the Froude number. The measurement time-series of the water surface fluctuations showed that there precisely existed high and low frequency signals. In the MRA and POD analysis of the fluctuations, it turned out that the predominant mode of the water surface fluctuations along the lateral direction was approximated to a constant spatial distribution. Therefore, the predominant surface fluctuation seemed to propagate two-dimensionally in the longitudinal direction.
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