Stokes方程的边界元区域分裂算法及其应用

Mix Domain Decomposition Method with Boundary Element Method For Stokes Equations and Application

用边界元求解不规则凹凸区域时 ,积分误差很大。区域分裂法是将不规则凹凸区域上的求解问题化为多个不重叠凸区域上的求解问题 ,在公共的边界上用Dirichlet条件、Neumann条件交替迭代得到全区域上的解。该方法计算精度高、适用于并行计算。作者给出了Stokes方程边界元求解不规则凹凸区域的区域分裂算法 ,并给出了将该算法用在贵阳市阿哈水库的流场计算的算例。

As the BEM was used in the knaggy domain,its approach error was big.Domain Decomposition Method change the problem in the knaggy domain to the problem in several convex domains which do not wrap.The whole solution is gained by alternating boundary conditions between Dirichlet condition and Neumann condition on the common boundary.Domain Decomposition Method for Stokes equations in the anomalistic knaggy domain is presented,the example of Domain Decomposition Method in the flow of the lake in GuiYang City is given.