摘要
本文提出了一个预测由风和波流相互作用所产生的非定常近海波流的数学模型，其基础方程组中除了传统的连续性方程、动量方程、能量方程外，还引进了色散方程及折射方程。同时，在基础方程组中本文还分析了横向剪应力、风的应力、辐射应力及海底摩擦应力的作用，因而期望它能较全面和较精确地反映波流相互作用的规律。在（Ⅱ）中将给出二步显含有限单元法及几个计算例子。
In this paper,a numerical model for predicting the unsteady nearshore circu-lation due to wave-current interaction was proposed.In addition to the tradi-tional continuity, momentum and energy equations,the dispersion and refraction relations were included in the governing equations.Moreover,the effects of lateral shears.wind,radiation and bottom stresses were analysed in the govern-ing equations.Therefore,we expect that this model may more completely andexactly reflect the law of wave-current interaction.In part(Ⅱ)we will adopt the selective lumping two-step explicit finiteelement method to solve the model,and some examples will be presented.
出处
《应用数学和力学》
CSCD
北大核心
1994年第8期713-718,共6页
Applied Mathematics and Mechanics
关键词
有限元法
非定常波流
近海波流
numerical model,finite element method,unsteady circulation,near shore circulation
