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计算波群折射的方法及其应用
陈伯海1,2
1.青岛海洋大学物理海洋研究所 青岛;266003
摘要:
根据汪炳祥1988提出的普遍几何群速概念和波群波向线及其波向钱散开因子方程,提出一种计算和绘制波群折射的数值方法。为使本方法较具普遍性,将旋转坐标系引人控制方程并予以变形与简化。数值计算采用Runse-Kutta法。将上述方法应用于胶州湾湾口附近海域的波群折射计算并绘制其折射图。将计算结果分别与依几何群速建立的波群折射(Breedingetal,1978)和单频率波折射结果比较,可明显地看出基于本方法的结果优于后两者。
关键词:  波群  普遍几何群速  向线及其散开因子
DOI:
分类号:
基金项目:国家自然科学基金资助项目,4880227号
A METHOD FOR CALCULATING WAVE GROUPS REFRACTION AND ITS APPLICATION
Chen Bohai
Institute of Physical Oceanography, Ocean Universityof Qingdao, Qingdao 266003
Abstract:
The concept of general geometric group velocity and the ray and its separation factor equations for ocean wave groups (Wang, 1988a, 1988c) are used to establish a numerical method for calculating and plotting a refracted chart of the gravity water wave groups. To make the method of more general validity, a rotating coordinate system is introduced into the above mentioned governing equations and then they are transformed and simplified. The numerical computation employs the Runge-Kutta method. The procedure has been applied to investigating the refraction of the wave groups in the neighborhood of the Jiaozhou Bay mouth and to constructing in turn the refracted chart. The results based on the method proposed by this paper have been compared with those given by the method of Breeding et al. (1978) and of the monochromatic wave, so for as the cases examined are concerned, the results here obtained show better than them both.
Key words:  Wave groups, General geometric group velocity, Wave ray and its separation factor
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