退化子单元方法在构造数值波浪池中的应用

采用高阶边界元方法构造了一个三维数值波浪水池。为了解决奇异积分问题 ,在单元划分中联合采用连续元和不连续元同时引入一种在退化子单元中进行单元细分的处理方法。在数值波浪水池中模拟的线性波和非线性 Stokes波 ,都得到了较好的结果 ,表明所采用的高阶边界元方法以及开边界条件有着很好的计算精确性和稳定性

Sub-element division scheme in numerical wave tank construction

A higher order boundary element method (HOBEM) as well as a time marching scheme is employed to establish a numerical wave tank. To solve the singular integral problem, a new method of sub element division in the degenerate elements is presented, and partially discontinuous elements in combination with continuous elements are also adopted. Linear and non linear waves are all simulated in this numerical wave tank (NWT). The perfect results show that the NWT established with these methods has a high accuracy and stability.