A behavior-oriented model for long-term coastal profile evolution: Validation, identification, and prediction

A behavior-oriented model for long-term coastal profile evolution: Validation, identification, and prediction
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长期海岸剖面演变的行为导向模型:验证、识别和预测

DOI:
10.1016/j.apm.2009.01.010
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发表时间:
2009
影响因子:
5
通讯作者:
R. Spigler
R. Spigler
中科院分区:
工程技术2区
文献类型:
--
作者:
A. Avdeev;Eldar V. Goriounov;M. Lavrentiev;R. Spigler

文献摘要

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研究了一种以行为为导向的扩散模型,该模型控制了海岸剖面的跨岸位置的时间演变。在这里,两个时间无关的,空间变化的系数,体现了相关的物理性质,被同时识别。两组真实数据,第一组是在北卡罗来纳州(美国)的Duck测量了10年,第二组是在Delfland(荷兰)测量了39年,已经用一种合适的“反演算法”进行了数值处理,该算法是作者早期开发的。这是基于一定的成本函数的最小化,以确定两个系数。用确定的系数求解扩散方程得到的数值结果与实际数据吻合较好,在一定程度上验证和校正了所研究的扩散模型。最后利用该模型对沿海剖面进行了短期预报。
A behavior-oriented diffusion model, governing the time evolution of the cross-shore position of coastal profiles, is studied. Here, two time-independent, space-varying coefficients, which embody the relevant physical properties, are identified simultaneously. Two sets of real data, the first measured over 10 years at Duck, in NC (USA), the second obtained over 39 years measurements at Delfland (Holland), have been processed numerically by a suitable “inversion algorithm”, earlier developed by the authors. This is based on the minimization of a certain cost functional in order to identify both coefficients. The numerical results, obtained by solving the diffusion equation with the so-determined coefficients, favorably agree with the real data, which fact validates and calibrates somehow the diffusion model under investigation. A short-term prediction is finally obtained for coastal profiles, using such a model.