An Algebraic Deformation Approach for Moving Grid Based on Barycentric Coordinates

Moving grid or mesh deformation is a challenging task for numerical simulation of fluid-structure interaction problems with moving boundaries that require the grid to be movable or deformable. To preserve quality of deformed mesh effectively, this paper presents an algebraic deformation approach based on interpolation of barycentric coordinates, which are widely used in computer graphics and geometric modeling. The approach has two main steps: 1) evaluate the barycentric coordinates of each grid point to be moved; 2) calculate the displacement of each grid point by interpolating displacements of boundaries with the aid of its barycentric coordinates. The effectiveness of the approach has been illustrated through a number of examples, including rotation/deformation of a single wing and multi-body relative motion. Testing results show that the desirable grid qualities in the original grid are carried over in the moving meshes.