WAVE REFLECTION AND TRANSMISSION IN CHANNELS OF GRADUALLY VARYING DEPTH.

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Abstract:

For short and intermediate waves reflection coefficients become generally larger than predicted as the slope of the transition decreases. For short and intermediate waves transmission coefficients generally agree with predictions for group velocity ratios near unity, but tend to lower values for lower ratios of group velocity as the slope of the transition decreases. For short and intermediate waves wave steepness has a relatively small influence on reflection and transmission coefficients. For shallow water waves the reflection coefficients were found independent of relative depth ratios contrary to prediction but decreased markedly with increasing wave steepness for the smallest slope. For shallow water waves the transmission coefficients followed the predicted trend, but became relatively lower for increasing relative depth ratios. Increasing wave steepness had the effect of increasing the transmission coefficients for the smallest slope. Author

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