管涌是堤坝的常见险情之一。采用渗流和管流耦合的方法可以较好模拟管涌的发展过程。无网格方法可以方便地增加或删除结点,在处理管流域和渗流域边界的动态变化上具有较大优势。相对于无网格伽辽金法(EFG),自然单元法的形函数符合Kronecker万条件,能够更准确地施加边界条件。在以前工作的基础上,把自然单元法用于管涌发展过程的模拟,以替换原先的EFG方法。算例计算表明这种替换是合适的。
Piping is one of the common situations dangerous to embankment. Piping progression can be well simulated by using an approach that couples the two domains of seepage and pipe flow. The element-free method can add or delete a node easily, showing a great advantage in predicting the location of the dynamically moving boundary between the two domains. Compared with the element-free Galerkin method (EFG), a natural element method adopts shape functions that satisfy the Kronecker 8 conditions, and hence it can achieve a better accuracy in the calcnlation of boundary conditions. On the basis of our previous work, we have applied this new method, as a substitute for the EFG method, to the simulation of piping progression. An example shows that this substitution is appropriate.