Articles | Volume 12, issue 12
Nat. Hazards Earth Syst. Sci., 12, 3811–3820, 2012
https://doi.org/10.5194/nhess-12-3811-2012
Nat. Hazards Earth Syst. Sci., 12, 3811–3820, 2012
https://doi.org/10.5194/nhess-12-3811-2012

Research article 21 Dec 2012

Research article | 21 Dec 2012

Nonlinear run-ups of regular waves on sloping structures

T.-W. Hsu1,*, S.-J. Liang2, B.-D. Young1, and S.-H. Ou1 T.-W. Hsu et al.
  • 1Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan 701, Taiwan
  • 2Department of Marine Environmental Informatics, National Taiwan Ocean University, Keelung 202, Taiwan
  • *now at: Research Center for Ocean Energy and Strategies, National Taiwan Ocean University, Keelung 202, Taiwan

Abstract. For coastal risk mapping, it is extremely important to accurately predict wave run-ups since they influence overtopping calculations; however, nonlinear run-ups of regular waves on sloping structures are still not accurately modeled. We report the development of a high-order numerical model for regular waves based on the second-order nonlinear Boussinesq equations (BEs) derived by Wei et al. (1995). We calculated 160 cases of wave run-ups of nonlinear regular waves over various slope structures. Laboratory experiments were conducted in a wave flume for regular waves propagating over three plane slopes: tan α =1/5, 1/4, and 1/3. The numerical results, laboratory observations, as well as previous datasets were in good agreement. We have also proposed an empirical formula of the relative run-up in terms of two parameters: the Iribarren number ξ and sloping structures tan α. The prediction capability of the proposed formula was tested using previous data covering the range ξ ≤ 3 and 1/5 ≤ tan α ≤ 1/2 and found to be acceptable. Our study serves as a stepping stone to investigate run-up predictions for irregular waves and more complex geometries of coastal structures.

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