Robust full-layer prismatic mesh generation based on bijective mapping

Abstract

Prismatic/tetrahedral hybrid meshes are widely used in CFD simulations involving RANS calculations. However, premature termination during Advancing Layer Method (ALM) generation often necessitates using highly distorted pyramidal elements, compromising overall mesh quality and hindering subsequent tetrahedral mesh generation. To address this, we propose a robust full-layer prismatic mesh generation scheme based on recent advances in piecewise linear bijective mapping. Our scheme iteratively deforms an initial mesh towards an orthogonal target, minimizing the bijective mapping energy via a robust, area/volume-preserving As-Rigid-As-Possible mapping method. Extending to complex geometry in 3D, we further introduce an interpolation-based prismatic mesh generation method, enabling the generation of computationally suitable meshes for complex geometries.