DESIGN AND IMPLEMENTATION OF AN SIMULATION OF WATER WAVE TRANSFORMATION USING HIGHER ORDER MILD-SLOPE EQUATION

Authors

Yuan-Jyh Lan, Research Center for Ocean Energy and Strategies, National Taiwan Ocean University, Keelung, Taiwan, R.O.C.
Tai-Wen Hsu, Research Center for Ocean Energy and Strategies, National Taiwan Ocean University, Keelung, Taiwan, R.O.C. Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.
Ta-Yuan Lin, Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.
Shin-Jye Liang, Department of Marine Environmental Informatics, National Taiwan Ocean University, Keelung, Taiwan, R.O.C.Follow

Abstract

A higher-order mild-slope equation (HOMSE) is derived based on theory of Hsu et al. [14]. Depth function is approximated up to third-order accurate in terms of both wave nonlinearity and bottom slope. Classical Galerkin method is used to solve HOMSE. Developed model is verified with a series of benchmark tests, including propagation of a sinusoidal wave past a submerged bar, wave propagating on a sloping bed, wave propagating over an elliptic shoal on a uniform slope, and wave propagating through a semicircular slope bottom, respectively. Computed results are compared with experiment data and prediction of low-order mild-slope equation model as well as Boussinesq equations model, and show good agreement.

Recommended Citation

Lan, Yuan-Jyh; Hsu, Tai-Wen; Lin, Ta-Yuan; and Liang, Shin-Jye (2012) "DESIGN AND IMPLEMENTATION OF AN SIMULATION OF WATER WAVE TRANSFORMATION USING HIGHER ORDER MILD-SLOPE EQUATION," Journal of Marine Science and Technology: Vol. 20: Iss. 5, Article 16.
DOI: 10.6119/JMST-012-0905-1
Available at: https://jmstt.ntou.edu.tw/journal/vol20/iss5/16