波浪绕射问题的无限相似单元数值模拟  

Numerical Simulation of Infinite Similar Element Method on Wave Diffraction

作　　者：李世森[1] 刘鑫煜[1] 蔡惊涛[2] 秦崇仁[1] 

机构地区：[1]天津大学建筑工程学院,天津300072 [2]海军工程大学后勤指挥与工程系,天津300450

出　　处：《天津大学学报》2006年第11期1283-1288,共6页Journal of Tianjin University(Science and Technology)

基　　金：国家自然科学基金资助项目(50079015);天津市自然科学基金资助项目(043605411)

摘　　要：采用无限相似单元方法与有限元法(Garlerk in)相结合对波浪绕射进行了数值模拟,求得任意截面柱状物体上的波浪荷载.模型中,对内外域交界面的选择并无限制,极大减少了内域单元的个数;外域组合刚度矩阵的阶数仅与内外域交界面上的结点个数有关,较大程度上减少了内外域拼接后总刚度矩阵的阶数.数值模拟结果和解析解吻合较好,且该方法简单快捷、收敛性好.A numerical model of wave diffraction was established using infinite similar element method （ISEM） , coupled with finite element method （Garlerkin） , to obtain wave force on a vertical cylinder of arbitrary cross section. The selection of the interface between the inner- and outer-domain has no limitation and the element number of the inner-domain can be reduced. The size of the equivalent stiffness matrix of the outer-domain is only related to the number of the crunode in the interface between inner- and outer-domain, so the final stiffness matrix has a very small size. The numerical results agree well with the analytical solutions and the present method is simple, quick and has a good convergence.

关 键 词：波浪绕射 无限相似单元法 有限无法 数值模拟 

分 类 号：TV92[水利工程—水利水电工程]