变水深坝—库系统耦振分析的边界元—有限元混合法

常用的混合元法解变水深坝－库系统的耦振，需要对变水深部分的流场进行域离散，计算工作量大，该文利用Ｆｒｉｅｄｍａｎ的算子函数理论，构造了势流问题在无限长带形域中的Ｇｒｅｅｎ函数，从而使流场的边界元剖分只限于变水深区域的边界，关于坝体仍采用有限元离散，最后借助所导出的有限元－边界元格式对坝－库系统的实例作了数值计算，结果证明了它的有效性。

A MIXED BE FE METHOD FOR COUPLED VIBRATIONS OF DAM RESERVOIR SYSTEM WITH VARIABLE WATER DEPTH

Proposes a mixed BE FE method for analyzing coupled vibrations of dam reservoir system with variable water depth. Based on a potential flow model and operator function theory, the Green function corresponding to a wave in a liquid of constant depth issuing from any source is derived. Then the coupling equations of BE for the liquid region and FE for the dam region are formulated by means of the compatibility conditions at the interface between the two regions. Numerical examples show that the proposed method is more efficient than the hybrid element method.