两层流中二维箱体结构反射和透射的模拟研究  

Simulations of the reflection and transmission of water waves past box structures in a two-layer fluid

作　　者：尚玉超 勾莹 滕斌[1] 郑艳娜 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024 [2]大连海洋大学海洋与土木工程学院,辽宁大连116023

出　　处：《哈尔滨工程大学学报》2016年第5期653-659,共7页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(51479026);国家重点基础研究发展计划项目(2011CB013700-03);中央高校基本科研业务费专项资金项目(DUT14ZD203)

摘　　要：基于两层流体简化模型,研究了水面箱型结构在两层流体中对波浪的反射和透射特性。为研究复杂海洋结构,采用外域级数展开和内域边界元数值方法相结合的手段建立了频域数学模型,在外域和内域交界的辐射面上利用连续性条件建立联立方程组。其中内域计算采用Rankine源作为格林函数,既避免了求解复杂的格林函数,又可直接获得自由水面及内界面上的速度势。经过与级数展开的解析方法对比,以及两层流中波能流守恒的验证,证明了本文建立的这一联合数值模型的正确性。利用这一数值模型通过计算反射系数和透射系数的变化情况,研究了两层流中存在箱型结构时各模态波浪的转化情况,分析了两层流中箱型结构的反射和透射特性。Based on a simplified two-layer fluid model,the reflection and transmission characteristics of box structures were investigated in a two-layer fluid. In order to investigate the complex structures,a linearized frequencydomain model was developed by using a series expansion in the external domain and a higher-order boundary method in the internal domain. The continuity boundary condition was employed at the interface between the internal and external domains. In the internal domain,a Rankine source was used to avoid calculating a complex Green's function for the wave equation,and the velocity potentials on both the free surface and the internal surface were obtained directly. By comparison with the analytic results based on series expansion and verification of the energy-conservation principle,the proposed model was validated. By computing the reflection and transmission coefficients with the proposed model,the transformation between the two wave modes when the waves flow past box structures was analyzed and the reflection and transmission features were discussed.

关 键 词：两层流体 边界元方法 RANKINE源 反射系数 透射系数 水波 箱型结构 

分 类 号：O141.4[理学—数学]