Enhanced block-structured quadrilateral mesh generation: integrating cross-field and distance field for optimal domain decomposition

Block-structured meshes are favoured in various computational simulations due to their superior computational efficiency and accuracy. While cross-field methods have demonstrated promising capabilities in generating high-quality quadrilateral meshes, they often face challenges such as non-uniform mesh distribution, limit cycles, and complex block structures. Additionally, the effectiveness of these methods heavily relies on the quality and density of the underlying background mesh. To address these limitations, this paper introduces a novel approach that synergizes medial-axis and cross-field methodologies. Our proposed method diverges from traditional four-sided block decompositions, opting instead for a flexible N-sided subdomain strategy guided by both a cross-field and its corresponding distance field. This innovation not only simplifies the decomposition structure but also lessens the dependency on the background mesh’s density, enhancing the method’s robustness and applicability. The paper details the development and validation of this technique, showcasing its efficiency in handling complex geometries compared to existing methods.