Adapting nodes in three dimensional irregular regions for meshless-type methods

摘要

In this paper, a new adaptive nodes technique based on equi-distribution principles and dimension reduction is presented for irregular regions in three dimensional cases. The mesh generation is performed by first producing some adaptive nodes in a cube based on equi-distribution along the coordinate axes and then transforming the generated nodes to the physical domain followed by a refinement process. The mesh points produced are appropriate for meshless-type methods which need only some scattered points rather than a mesh with some smoothness properties. The effectiveness of the generated mesh points is examined by a collocation meshless method using a well known radial basis function, namely ϕ(r) = r 5 which is sufficiently smooth for our purpose. Some experimental results will be presented to illustrate the effectiveness of the proposed method.