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1 January 2012 Semianalytical One-Dimensional Solution for Linear Wave Reflection over Varying Topography
Tae-Hwa Jung, Seung Oh Lee
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Abstract

A new technique of predicting a one-dimensional wave transformation due to bottom variation was developed by using analytical and numerical approaches. The coefficients of the governing equation, the mild slope equation, were approximated as polynomial forms using the least squares method. The power series technique was applied to solve the second-order ordinary differential equation originally converted from the mild slope equation. Because the approximation was carried out after setting the coefficient of the highest-order term of the equation to unity, there was no singular point. This solution became, consequently, applicable to arbitrarily varying topography. Comparison of results from this study with the numerical solutions calculated by the finite element method showed good agreement for various cases.

Tae-Hwa Jung and Seung Oh Lee "Semianalytical One-Dimensional Solution for Linear Wave Reflection over Varying Topography," Journal of Coastal Research 28(1A), 73-79, (1 January 2012). https://doi.org/10.2112/JCOASTRES-D-09-00054.1
Received: 18 May 2009; Accepted: 15 May 2010; Published: 1 January 2012
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KEYWORDS
Analytical approach
least squares method
power series
wave reflection
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