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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/43756

Title: A higher-order sigma-coordinate non-hydrostatic model for nonlinear surface waves
Authors: Chih-Chieh Young;Chin Wu;Jan-Tai Kuo;Wen-Cheng Liu
Contributors: 國立臺灣海洋大學:海洋環境資訊系
Date: 2007-07
Issue Date: 2017-10-31T07:23:04Z
Publisher: Ocean Engineering
Abstract: Abstract:A higher-order non-hydrostatic model in a σ-coordinate system is developed. The model uses an implicit finite difference scheme on a staggered grid to simultaneously solve the unsteady Navier–Stokes equations (NSE) with the free-surface boundary conditions. An integral method is applied to resolve the top-layer non-hydrostatic pressure, allowing for accurately resolving free-surface wave propagation. In contrast to the previous work, a higher-order spatial discretization is utilized to approximate the large horizontal pressure gradient due to steep surface waves or rapidly varying topographies. An efficient direct solver is developed to solve the resulting block hepta-diagonal matrix system. Accuracy of the new model is validated by linear and nonlinear standing waves and progressive waves. The model is then used to examine freak (extreme) waves. Features of downshifting focusing location and wave asymmetry characteristics are predicted on the temporal and spatial domains of a freak wave.
Relation: 45
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/43756
Appears in Collections:[海洋環境資訊系] 期刊論文

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