有限元与无网格伽辽金耦合法分析二相连续多孔介质

将有限元法和无网格伽辽金法相结合,创造出一种新的数值计算方法,该法既能利用有限元法的优点,又能发挥无网格伽辽金法局部化技术的无单元特性,使其具有计算优势.推导了二相多孔介质的有限元法与无网格伽辽金法耦合的离散方法.给出了两个算例,在计算二维固结方程时,精度较高且处理液体流量准确,是有限元法的有力补充.

Analysis of Two-phase Continuous Porous Media with FEM-EFGM Coupled Method

In this paper, Finite element method (FEM) coupled with Element free Galerkin method (EFGM), is developed it, not only takes advantage of FEM, but also gives EFGM local technique and element-free character. Both make it has more advantages in calculating. The paper introduces EFGM in details, and meantime dedues discrete equations of consolidation. It gives two examples of calculating and analyzing, the results of calculating point out that the implementation will achieve more accurate in the deformation of consolidation, another discovery is that an accurate solution of fluid flux can be obtained. In particularly, combining with FEM the results is more effective, in conclusion, EFGM is powerful complementary of FEM.