Hexahedral mesh adaptation based on posterior-error estimation

Mesh adaptation is widely used in numerical simulations to improve the accuracy and efficiency of the solutions. This paper introduces a physics-based hexahedral mesh adaptation method based on posterior-error estimation. First, we determine the regions to be refined based on the Riemannian metric field, which is calculated according to the analysis result on the coarse hex mesh. Second, the quad sets to be inserted by sheet inflation operations are determined based on the graph cuts algorithm, which considers the topological quality and the adaptation requirements. Finally, the mesh quality is improved with a size-preserving mesh optimization method that considers both the element shape and mesh size. Experimental results for the mechanical parts verified the effectiveness of the proposed method.

Automated summary

This paper introduces a physics-based hexahedral mesh adaptation method based on posterior-error estimation. It determines the refined regions based on analysis results and uses a graph cuts algorithm to determine the quad sets to be inserted. The mesh quality is improved through a size-preserving mesh optimization method. Experimental results confirm the effectiveness of the proposed method.