Finite Element Solution of Linear Waves on a Sloping Bottom Boundary

Tae Hwa Jung; Sangyoung Son; Yonguk Ryu

doi:10.2112/JCOASTRES-D-15-00068.1

Finite Element Solution of Linear Waves on a Sloping Bottom Boundary

Tae Hwa Jung, Sangyoung Son, Yonguk Ryu

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	731-737
Number of pages	7
Journal	Journal of Coastal Research
Volume	33
Issue number	3
DOIs	https://doi.org/10.2112/JCOASTRES-D-15-00068.1
Publication status	Published - 2017 May

Bibliographical note

Funding Information:
This study was supported in part by the Basic Research Programs (2012R1A1A1011884 and 2014R1A1A1008517) of the National Research Foundation of Korea.

Keywords

Analytical solution
linear water wave
natural topography

ASJC Scopus subject areas

Ecology
Water Science and Technology
Earth-Surface Processes

Access to Document

10.2112/JCOASTRES-D-15-00068.1

Cite this

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abstract = "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.",

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T1 - Finite Element Solution of Linear Waves on a Sloping Bottom Boundary

AU - Jung, Tae Hwa

AU - Son, Sangyoung

AU - Ryu, Yonguk

N1 - Funding Information: This study was supported in part by the Basic Research Programs (2012R1A1A1011884 and 2014R1A1A1008517) of the National Research Foundation of Korea.

PY - 2017/5

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N2 - 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.

AB - 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.

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KW - natural topography

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Finite Element Solution of Linear Waves on a Sloping Bottom Boundary

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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