基于B-样条的边界元方法及其在波浪力计算中的应用  

A B splines based BEM and its application in computing wave forces

作　　者：柏威[1] 滕斌[1] 邱大洪[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116024

出　　处：《海洋工程》2000年第4期27-31,35,共6页The Ocean Engineering

基　　金：国家自然科学基金重点资助项目 !(1973 2 0 0 4)

摘　　要：就波浪与结构物相互作用问题 ,应用 B-样条函数对物体表面上的速度势进行了数值离散。物体表面的控制参数通过最小二乘原理确定 ,速度势控制参数通过 Galerkin理论确定。本理论给出的速度势及其导数在整个光滑物面上都是连续的。采用此种方法所计算的数值解十分准确 ,并且收敛得很快。WT5”BZ]For the calculation of wave forces on structures, a B splines expansion is applied to discretize the body surface and represent the velocity potentials on the body surface. The expansion coeffients for the body geometry are determined by the Least Square Method, and the coefficents for velocity potentials by the Galerkin Method. The method can give a continuous description of veloctity potentials and their derivatives on the whole smooth body surface. The method has been implemented, and numerical results show that the method gives very accurate results and that its convergence is fast.

关 键 词：B-样条 边界元方法 波浪力 波浪 结构物 速度势 

分 类 号：P731.22[天文地球—海洋科学] TV139.26[水利工程—水力学及河流动力学]