TY - JOUR
T1 - Numerical simulation of solitary wave run-up and overtopping using Boussinesq-type model
AU - Tsung, Wen Shuo
AU - Hsiao, Shih Chun
AU - Lin, Ting Chieh
N1 - Funding Information:
This work was financially supported by the National Science Council (Grant NSC 101-2628-E-015-MY3). The authors acknowledge Dr. Hwang K. S. for his laboratory assistance and discussion. The authors gratefully thank the research team at the Tainan Hydraulics Laboratory of National Cheng Kung University for their support in providing experimental data.
PY - 2012/12
Y1 - 2012/12
N2 - In this article, the use of a high-order Boussinesq-type model and sets of laboratory experiments in a large scale flume of breaking solitary waves climbing up slopes with two inclinations are presented to study the shoreline behavior of breaking and non-breaking solitary waves on plane slopes. The scale effect on run-up height is briefly discussed. The model simulation capability is well validated against the available laboratory data and present experiments. Then, serial numerical tests are conducted to study the shoreline motion correlated with the effects of beach slope and wave nonlinearity for breaking and non-breaking waves. The empirical formula proposed by Hsiao et al. for predicting the maximum run-up height of a breaking solitary wave on plane slopes with a wide range of slope inclinations is confirmed to be cautious. Furthermore, solitary waves impacting and overtopping an impermeable sloping seawall at various water depths are investigated. Laboratory data of run-up height, shoreline motion, free surface elevation and overtopping discharge are presented. Comparisons of run-up, run-down, shoreline trajectory and wave overtopping discharge are made. A fairly good agreement is seen between numerical results and experimental data. It elucidates that the present depth-integrated model can be used as an efficient tool for predicting a wide spectrum of coastal problems.
AB - In this article, the use of a high-order Boussinesq-type model and sets of laboratory experiments in a large scale flume of breaking solitary waves climbing up slopes with two inclinations are presented to study the shoreline behavior of breaking and non-breaking solitary waves on plane slopes. The scale effect on run-up height is briefly discussed. The model simulation capability is well validated against the available laboratory data and present experiments. Then, serial numerical tests are conducted to study the shoreline motion correlated with the effects of beach slope and wave nonlinearity for breaking and non-breaking waves. The empirical formula proposed by Hsiao et al. for predicting the maximum run-up height of a breaking solitary wave on plane slopes with a wide range of slope inclinations is confirmed to be cautious. Furthermore, solitary waves impacting and overtopping an impermeable sloping seawall at various water depths are investigated. Laboratory data of run-up height, shoreline motion, free surface elevation and overtopping discharge are presented. Comparisons of run-up, run-down, shoreline trajectory and wave overtopping discharge are made. A fairly good agreement is seen between numerical results and experimental data. It elucidates that the present depth-integrated model can be used as an efficient tool for predicting a wide spectrum of coastal problems.
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U2 - 10.1016/S1001-6058(11)60318-1
DO - 10.1016/S1001-6058(11)60318-1
M3 - Article
AN - SCOPUS:84872020574
VL - 24
SP - 899
EP - 913
JO - Journal of Hydrodynamics
JF - Journal of Hydrodynamics
SN - 1001-6058
IS - 6
ER -