Stokes波在铅垂圆柱上绕射的二阶分析  

SECOND ORDERANALYSIS OF DIFFRACTION OF STOKES WAVES BYA VERTICALCYLINDER

作　　者：贺五洲[1] 陈炜[1] 

机构地区：[1]清华大学水利水电工程系,北京100084

出　　处：《工程力学》2004年第6期177-182,共6页Engineering Mechanics

摘　　要：在势流假设下,利用摄动原理,求解 Stokes 波中铅垂圆柱的二阶绕射势,得到完整的二阶波浪压力和波浪力。根据铅垂圆柱的几何特性,采用两种求解方法。一是直接利用外场解析表达式求解;二是设置控制面,外场用解析表达式,内场用简单 Green 函数方法求解。两种方法得到的结果吻合良好,验证了计算方法的有效性,可为求解任意三维物体的二阶绕射问题提供参考。By applying the perturbation method, the solution to the second order diffraction potential of Stokes waves by a vertical circular cylinder is obtained under the frame work of potential theory. The whole second order wave pressure and wave forces are calculated. Considering the geometrical characteristic of vertical circular cylinder, two techniques are adopted. One is using the analytical expressions in the whole fluid domain directly. The other is based on the boundary element method by using 1/r type Green function in the inner water region combined with the eigenfunction expansions in the outer region. The comparison between the results of these two techniques shows good agreement. And the method is available to the second order diffraction problem for arbitrary three dimensional bodies.

关 键 词：非线性波浪载荷 二阶绕射势 二阶波浪力 边界积分方程 非齐次自由面条件 

分 类 号：O353.2[理学—流体力学]