摘要:
近年来,有限元方法[1]已被许多学者用来解浅水波方程,如潮汐潮流、近海环流、污染扩散等[2,3],也有用来讨论风暴潮问题的.本文给出用于风暴潮分析的一种有限元方法. 我国是一个多风暴潮的国家,因此,沿海地区防御风暴潮是很重要的.至今已提出单站预报、动力统计、差分数值等风暴潮预报方法.采用有限元方法能灵活的近似海岸线形状和海底形状,所得出的有限元公式能给出一个通用的计算机程序,适用于各个海区的预报工作.为计算简便,本文采用九点四边形Lagrange等参数元[4]和分离时间的时间积分格式,从而使得程序简化,并大大节约内存和计算机时间.
Abstract:
On the basis of the two-dimensional shallow water wave equations, numerocal solutions for storm surges have been achieved by coupling the finite element method in space with finite difference split time scheme. In the model, the lagrangian quadvatic isoparametric elements are selected and the circular typhoon models are used. In applications to four typhoons striking the Taiwan strait, the computional results are in agreement with the data observed.
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