无限深度二维水波问题的扩展宽间距近似

IF 0.8 4区工程技术 Q3 MATHEMATICS, APPLIED

Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2014-08-01 DOI:10.1093/QJMAM/HBU013

P. Mciver

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引用次数: 5

摘要

本文考虑将宽间距近似应用于无限深度流体中结构对水波的散射和辐射的二维线性问题。将近似置于形式展开过程中，得到了一个扩展近似。与基于平面波相互作用的标准近似程序相比，扩展近似程序显著提高了水下结构的计算精度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An extended wide-spacing approximation for two-dimensional water-wave problems in infinite depth

This paper considers the wide-spacing approximation when applied to twodimensional linear problems involving the scattering and radiation of water waves by structures in a fluid of infinite depth. The approximation is set into the context of a formal expansion procedure and an extended approximation is obtained. The extended approximation significantly improves the accuracy of calculations for submerged structures when compared with the standard approximation procedure based on plane-wave interactions.

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来源期刊

Quarterly Journal of Mechanics and Applied Mathematics 物理-力学

CiteScore

1.90

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly Journal of Mechanics and Applied Mathematics publishes original research articles on the application of mathematics to the field of mechanics interpreted in its widest sense. In addition to traditional areas, such as fluid and solid mechanics, the editors welcome submissions relating to any modern and emerging areas of applied mathematics.