非定常沿岸波流的有限单元分析(Ⅰ)──数学模型

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Finite Element Analysis for the Unsteady Nearshore Circulation Due to Wave-Current Interaction(Ⅰ)──Nnmerical Model

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。
- 数学模型 /
- 有限元法 /
- 非定常波流 /
- 近海波流
Abstract: In this paper, a numerical model for predicting the unsteady nearshore circulation due to wave-current interaction was proposed. In addition to the traditional 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 governing equations. Therefore, we expect that this model may more completely and exactly reflect the law of wave-current interaction.In part(Ⅱ) we will adopt the.selective lumping two-step explicit finite element method to solve the model, and some examples will be presented.
- numerical model /
- finite element method /
- unsteady circulation /
- nearshore circulation

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