利用有限元方法求解双曲型缓坡方程  

A finite element solver of the hyperbolic mild-slope equation

作　　者：赵明[1] 滕斌[1] 

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116023

出　　处：《海洋工程》2002年第3期54-60,共7页The Ocean Engineering

基　　金：国家自然科学基金资助项目 (5 0 0 2 5 92 4)

摘　　要：本文提出了一种双曲型缓坡方程的有限元计算方法 ,在建立有限元积分方程时通过在造波线处加入脉动源项来实现内部造波 ,并在开边界处利用阻尼层吸波 ,减少了在边界处由于数值处理引起的误差。数值计算结果与实测值吻合良好。In this paper, a fimite element method is presented for solving hyperbolic mild slope equation. The wave is generated at the generating line for the calculating area by adding an oscillating source term in the finite element integral equation and absorbed at the outgoing boundary by damping layers. The finite element program was implemented and it turns out that the method agrees very well with experimental results. The method can be used for simulating the wave field in a large scale.

关 键 词：有限元 缓坡方程 阻尼层 造波线 脉动源 数值处理 边界处 波浪 

分 类 号：P731.22[天文地球—海洋科学] U656.3[交通运输工程—港口、海岸及近海工程]