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Extended Boussinesq Equations for Rapidly Varying Topography

Cited 17 time in Web of Science Cited 20 time in Scopus
Authors
Kim, Gunwoo; Lee, Changhoon; Suh, Kyung-Duck
Issue Date
2009
Publisher
Elsevier
Citation
Ocean Engineering 36, 842-851
Keywords
Extended Boussinesq equationshigher-order bottom variation termsnumerical experimentplanar slope testripple testGaussian shaped trench test
Description
author's final version
Abstract
We developed a new Boussinesq-type model which extends the equations of Madsen and Sørensen (1992) by including both bottom curvature and squared bottom slope terms. Numerical experiments were conducted for wave reflection from the Booij’s (1983) planar slope with different wave frequencies using several types of Boussinesq equations and extended mild-slope equation. Madsen and Sørensen’s model results are accurate in the whole slopes in shallow waters but inaccurate in intermediate water depths. Nwogu’s (1993) model results are accurate up to 1:1 (V:H) slope but significantly inaccurate for steep slopes. The present model results are accurate up to the slope of 1:1 but somewhat inaccurate for very steep slopes. Further, numerical experiments were conducted for wave reflections from a ripple patch and also a Gaussian shaped trench. For the two cases, the results of Nwogu’s model and the present model are accurate because these models include the bottom curvature term which is important for the cases. However, Madsen and Sørensen’s model results are inaccurate because this model neglects the bottom curvature term.
ISSN
0029-8018
Language
English
URI
http://hdl.handle.net/10371/67637
DOI
https://doi.org/10.1016/j.oceaneng.2009.05.002
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Civil & Environmental Engineering (건설환경공학부)Journal Papers (저널논문_건설환경공학부)
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