Mesh moving scheme based on solving the Laplace equation with Jacobian stiffening technique

Mesh moving scheme is an important issue in many fluid-structure interaction problems. In this paper a new mesh motion technique is presented for the effective treatment of moving mesh. The entire deformation is imposed at each time step and the motion of the internal nodes is governed by a modified Laplace equation. Finite element method is adopted to solve the Laplace equation with elemental Jacobian-based stiffening technique. Nodal coordinates are updated by using the total nodal displacements and initial coordinates. The proposed scheme has been applied to several 2D and 3D test cases involving various mesh types with the mesh quality evaluated by an index called elemental aspect ratio. With these applications, it is demonstrated that the present method still preserves good mesh quality for long-term and large amplitude oscillations or deformations.