Purpose. The quality of the finite element mesh is one of the important factors which determine the precision and accuracy of finite element analysis. A density control based adaptive hexahedral mesh generation algorithm for three dimensional models is presented in this paper. Methodology. The main idea of the adaptive grid-based mesh generation algorithm is similar to those of other conventional grid-based methods, but the initial grid structure is generated adaptively based on the geometric features of the solid model. Findings. The density control based hexahedral mesh generation algorithm can accurately capture the geometric features of the solid model with the least number of elements and can generate high quality of hexahedral element meshes. Originality. A spatial refinement field is constructed in this paper to control the mesh size and density distribution based on the geometric factors of the solid model. Practical value. Conformal hexahedral element meshes which can capture all the geometry characters of the solid models and meet finite element analysis are generated. The effectiveness of the algorithm and quality of the mesh generation are demonstrated by using a mechanical model.

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