The Asymptotic Behaviour of the Coefficients in Stokes's Series for Surface Gravity Waves期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

The Asymptotic Behaviour of the Coefficients in Stokes's Series for Surface Gravity Waves

Authors:	LONGUET-HIGGINS M S

Institution:	Department of Applied Mathematics and Theoretical Physics, University of Cambridge Silver Street, Cambridge CB3 9EW Institute of Oceanographic Sciences Wormley, Godalming, Surrey GU8 5UB

Abstract:	It is shown that the asymptotic behaviour of the coefficientsa_n at high order n and at large wave steepness ak is determinedmainly by the limiting form of the wave crest. In a lower rangeof n, a_n, decreases like n^–, corresponding to the Stokes120° corner flow. In an upper range, a_n, decreases exponentiallywith n. The transition occurs when n ${varepsilon}$ ³ is O(1) where ${varepsilon}$ is relatedto the steepness ak of the waves by ${varepsilon}$ ² = 2.0(ak)_max –ak].

Keywords:
本文献已被 Oxford 等数据库收录！