A FUNDAMENTAL STUDY ON THE APPLICATION OF ENERGY-BASED OVERSET FINITE ELEMENT METHOD TO DYNAMIC ANALYSIS

抄録

The preparation of a mesh is a costly procedure in finite element analyses. Energy-based overset finite element method (EbO-FEM) is a method that facilitates the creation of the mesh by composing several subdomains into a single computational domain. This paper presents a fundamental study to extend the EbO-FEM to dynamic problems, focusing on the one-dimensional scalar wave problem. In particular, the relationship between the parameter representing the degree of coupling and the magnitude of the undesired reflected waves generated at the overlapping regions is investigated. The results show that the EbO-FEM provides as accurate a solution as the conventional FEM when adopting well-tuned values as the parameter. Error analysis in the frequency domain showed that the unwanted reflected wave generated at the overlapping region is controlled by the characteristic of the incident wave and the size of the overlapping region. Numerical examples of coupling the computational domain with different materials implied that the overlapping region acts stiffer than it is. These results suggested that the overlapping region should be as small as possible to obtain an accurate solution, even though the EbO-FEM is an overlapping mesh method.