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1 May 2017 Finite Element Solution of Linear Waves on a Sloping Bottom Boundary
Tae-Hwa Jung, Sangyoung Son, Yonguk Ryu
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Jung, T-H.; Son, S., and Ryu, Y. 2017. Finite element solution of linear waves on a sloping bottom boundary.

A new, finite-element solution of linear water waves, which can be applied to a nonvertical bottom boundary, is introduced in this study. The present solution can be applied to regions in which the water depth gradually approaches zero, such as coastlines. To obtain this solution, the entire domain is divided into three subregions. In the up-wave and down-wave subregions, analytical solutions are used. In the middle region, which occupies most computational domain, the standard Galerkin finite-element method is applied. The introduced numerical method is compared with an analytical solution to show its validity.

©Coastal Education and Research Foundation, Inc. 2017
Tae-Hwa Jung, Sangyoung Son, and Yonguk Ryu "Finite Element Solution of Linear Waves on a Sloping Bottom Boundary," Journal of Coastal Research 33(3), 731-737, (1 May 2017).
Received: 22 April 2015; Accepted: 1 December 2015; Published: 1 May 2017

Analytical solution
linear water wave
natural topography
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