TY - JOUR
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
Y1 - 2017/5
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.
KW - Analytical solution
KW - linear water wave
KW - natural topography
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U2 - 10.2112/JCOASTRES-D-15-00068.1
DO - 10.2112/JCOASTRES-D-15-00068.1
M3 - Article
AN - SCOPUS:85019200254
SN - 0749-0208
VL - 33
SP - 731
EP - 737
JO - Journal of Coastal Research
JF - Journal of Coastal Research
IS - 3
ER -