二维有限元潮流数学模型及其应用  

Two-dimensional finite element tide mathematic model and its application

作　　者：刘韬 朱文谨[2] 孙冰 

机构地区：[1]山东省交通规划设计院,山东济南250031 [2]淮海工学院土木工程学院,江苏连云港222006

出　　处：《水运工程》2014年第8期24-28,共5页Port & Waterway Engineering

基　　金：江苏省基础研究计划(自然科学基金)青年基金项目(BK20130409);江苏省高校自然科学研究面上项目(13KJB570001)

摘　　要：采用有限元Galerkin加权余量法对二维潮流控制方程进行求解,建立了二维有限元潮流数学模型,并将模型运用于计算区域较小、边界较为复杂的海安湾。对海安湾潮流数值模拟的结果如下:计算水位和流速的大小及过程均与实测情况极为吻合,流场的趋势也与以往研究较为一致。新模型能采用不同形式的非结构网格,对于边界和地形变化复杂的工程区域有较强的适应性。研究成果说明,对于计算区域较小且陆域边界变化复杂的工程问题,采用有限元方法离散潮流方程能提高计算精度。The 2-D tide control formula is resolved by Galerkin weighted margin method of finite element number, and the 2-D finite element mathematic model is founded and applied to Haian bay which is characterized by relative small calculation area and complicated boundary. The calculation result of tide numerical simulation for Haian bay is as follows： the numerical value and course of calculation＇s water level and fluid velocity are accordant with the actual situation, the trend of fluid field is coincident to the past research, the new model uses different nonstructural grids, which has stronger adaptability to the complex engineering area and boundary comparing to that by the former model. As for the engineering problems of the small calculation area and complex boundary, the research result proves that the calculation precision can be improved by the tide control formula of finite element numerical dispersing equation.

关 键 词：有限元 潮流方程 控制方程 数学模型 潮流场 

分 类 号：O353.2[理学—流体力学]