Using discriminant analysis to determine the breaking criterion for an ISW propagating over a ridge

Author: Chen, Chen-Yuan

Source: Environmental Fluid Mechanics, Volume 10, Number 5, October 2010 , pp. 577-586(10)

Publisher: Springer

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Abstract:

This study aims to develop methods that are capable of deciding the breaking criterion for an internal solitary wave (ISW) propagating over a submarine ridge. Laboratory experiments were conducted in a wave tank to measure ISWs propagating over a submarine ridge. The results suggest that the ISW-ridge interaction can be grouped according to three degrees of magnitude based on the blockage parameter ζ and the degree of blocking B. For classification reasons, we first present an alternative decision model for evaluating the interaction of ISWs with an underwater ridge in a two-layer system. This approach is based on a multivariate statistical method and discriminant analysis. Information obtained from the eigenvalues is used to combine different ratio measures which are defined according to every single input and output. The discriminant model effectively classifies units into distinct predefined groups. An experimental simulation is conducted to demonstrate the practical implementation of the ISW-ridge interaction. The results of the method applied in this example are statistically significant, demonstrating the effectiveness of the ISW-ridge interaction classification method.

Keywords: Internal solitary wave; Wave dispersion; Energy loss; Profile change; Discriminant analysis

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10652-010-9172-1

Affiliations: 1: Department of Computer Science, National Pingtung University of Education, No. 4-18, Ming Shen Rd., Pingtung, 90003, Taiwan, Email: cyc@mail.npue.edu.tw

Publication date: 2010-10-01