Normal mode decomposition for identification of storm tide and tsunami hazard

Normal mode decomposition for identification of storm tide and tsunami hazard
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DOI:
10.1016/j.coastaleng.2005.10.016
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发表时间:
2006-02
影响因子:
4.4
通讯作者:
R. J. Sobey
R. J. Sobey
中科院分区:
工程技术1区
文献类型:
--
作者:
R. J. Sobey

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简正波分解在沿海风暴潮和海啸危险性评估中是一种有用的分析方法。简正波的预报,即盆地本征模,可表示为Sturm-Liouville问题。数值解可转化为矩阵特征值问题。确定并解决了数值实现问题,给出了一维和二维空间变化流域的典型本征模解。对于历史风暴潮或海啸事件,光谱线图是一种合适的分析总结。建立了离散特征振型响应幅值的预测公式,并将其归结为多维优化问题。
Normal mode decomposition is shown to be a useful analysis methodology in the evaluation of storm tide and tsunami hazard at a coastal site. The prediction of the normal modes, the basin eigenmodes, is formulated as a Sturm–Liouville problem. Numerical solution follows transformation to a matrix eigenvalue problem. Numerical implementation issues are identified and resolved, and typical eigenmode solutions for spatially varied basins in one and two spatial dimensions are given. A spectral line plot is demonstrated as a suitable analysis summary for an historical storm tide or tsunami event. Prediction of the response amplitudes at the discrete eigenmodes is formulated and solved as a problem in multi-dimensional optimization.