海岸三维潮流数学模型的研究及应用
Research on three-dimensional tide current mathematical model of coast and its application
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摘要: 本模型以三维Navier-Stokes方程为基础,经σ-坐标变换得模式方程,然后选用特殊的插值函数,利用有限元和差分相结合的方法求解.所建模型可适应具有较为复杂岸线和海工建筑的海域潮流计算,可进行局部加密,同时能以较高分辨率揭示三维潮流的空间结构特征.本潮流模型具有省时、简便的特点.Abstract: Based on Navier-Stokes equation,the model equation is deduced through a-coordinate transformation,then by selecting a series of the specific interpolation value function,using the combined method of the finite element and the difference,solution is obtained,the model is very suitable for calculating tide current in the sea area with complex bank boundaries or harbour engineering construction,which also can achieve densifying calculation in local or partial region and can reveal the space structure characteristics of the three-dimensional tide current with higher distinguishable rate,the model has many advantages such as being simple to application and saving calculation time.
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