Mesh tying on curved interfaces in 3D

Abstract

In this work, a mortar method is implemented for tying arbitrary dissimilar 3D meshes, i.e. 3D meshes with curved, non‐matching interfaces. The 3D method requires approximations to the surface integrals specified by the projection of the displacement jump across the interface onto the Lagrange multiplier space. The numerical integration scheme is presented and several Lagrange multiplier interpolation schemes are considered. Furthermore, some implementational issues such as how to handle boundary conditions will be described such that stability is retained. Finally, the implementation will be demonstrated in numerical simulations and comparison of different formulations will be made.