A mesh moving technique with minimum-height-based stiffening for fluid-structure interaction analysis

The practical use of the fluid-structure interactions (FSI) analysis system requires the robustness for the parametric design of artifacts. In the FSI analysis employing interface tracking methods, mesh moving technique is significant for avoiding the failure of the analysis due to the mesh distortion. Although many conventional techniques have been introduced in the system, there still remain some cases where the analysis fails because of the mesh distortion. For the further improvement of the robustness, we propose a new mesh moving technique, minimum-height-based stiffening technique, where the mesh deformation of the fluid domain is virtually governed by the linear elastic equations and the stiffness of each element is determined according to its minimum height. The proposed technique is applied to two-dimensional benchmark problems with three types of prescribed motions or deformation: translation, rotation, and bending. The results were compared with those with Jacobian-based-stiffening technique, which is one of the most effective approaches, in terms of mesh quality factors. As a result, the proposed technique shows better performance, i.e. the improvement by more than 10% for our mesh quality factor. In addition, low sensitivity of the mesh quality factors to the optimum value of the control parameter was observed. This low sensitivity can contributes to the usability of our proposed technique. (author)