Unstructured Remeshing Using an Efficient Smoothing Scheme

Abstract. In this paper, a method for adapting existing 2D and 3D unstructured meshes to modified domain boundaries is presented. The method simultaneously employs mesh smoothing, moving and untangling. It should be considered as an alternative to mesh regeneration often used in either optimization or unsteady flow computations with moving boundaries. With respect to the widely used Laplacian smoothing scheme, the proposed algorithm additionally employs a geometric constraint which limits the allowed moving space for each vertex and manages to overcome the generation of invalid/inverted elements even in the case of extreme boundary deformations. The resulting algorithm is easy to implement and has low computational cost. Here, it is demonstrated in 2D and 3D meshes under deformation, with triangular and tetrahedral elements respectively, including cascade meshes with differently treated periodic boundaries.