Application of Element-Free Galerkin Method for Axis-Symmetric Heat Transfer Problems

With the MLS (moving least squares) interpolant for the shape function construction, the element-free Galerkin method can be very useful for those mechanical problems of which the meshing or remeshing is very troublesome. In this paper the element-free Galerkin method is applied on the axisymmetric heat transfer problems. The basic theory is proposed, as well as the numerical procedure. For common axisymmetric problems, the 2D background cells are used for the discretization of the physical zones. When the problems can be simplified as 1D axis - problem, relative deducing is also given. Relevant numerical problems are presented. It can be seen that element-free Galerkin method can provide great convenience and high accuracy for this kind of problems.