A face-based smoothed point interpolation method (FS-PIM) for analysis of nonlinear heat conduction in multi-material bodies

A face-based smoothed point interpolation method (FS-PIM) is formulated to solve nonlinear heat transfer analysis of composite structures. For this method, the problem domain is first discretized using tetrahedral elements, and the face-based smoothing domains are further formed based on the faces of the tetrahedral meshes. Then, the field functions are approximated using PIM shape functions, which are constructed by different polynomial basis. Finally, the smoothed Galerkin weak form was utilized to obtain the discretized system equations. Numerical examples with different kinds of boundary conditions are investigated to verify the validity of the present method. The obtained results show that the presented FS-PIM schemes are very effective, when dealing with the nonlinear heat transfer analysis of composite structures.