摘要
б坐标变换在河口潮流数学模型中得到了广泛的应用，本文探讨了它在差分离散 范畴内的适用性，并认为：在变换后的规则网格上，控制方程增添了若干个非线性项，使得 模型更加复杂、计算工作量增加、增大了误差的可能性。为了建立简单、快捷和有效的河 口潮流垂向二维数学模型，本文应用变网格有限元方法（不引入б坐标变换，采用任意四 边形等参单元）离散横向积分的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程。
бco-ordinate transformation with the finite difference method has been widely applied to the numerical model of estuarine tidal flow. However, after its transformation, several nonlinear terms are added to governing equations on the regular grids. As a result, the model becomes complicated and time consuming with more possible errors. To es- tablish an efficient 2DV numerical model of estuarine tidal flow, the moving grid finite element method has been de- veloped to discrete the width-integrated Navier-Stokes equations instead of бco-ordinate transformation.
出处
《海洋科学》
CAS
CSCD
北大核心
2001年第9期39-44,共6页
Marine Sciences
基金
国家自然科学基金资助项目49806005号
国家教育部"跨世纪优秀人才培养计划"基金(教技函[1999]2号)资助。
关键词
变网格有限元
垂向二维
河口潮流
数学模型
σ坐标变换
Moving grid FEM, Estuarine tidal flow, бCo-ordinate transformation, Numerical model, 2DV
