自动生成四边形网格的方法及其在数值模拟中的应用

采用间接方法生成四边形网格,首先利用改进的两点前沿推进法把计算区域剖分成三角形网格,然后采用插点和细分的技术生成单元全部是四边形的网格,通过边互换、删点和局部插点技术进一步光滑平顺,得到适用于数值计算的网格。剖分结果表明,该方法能够在任意二维平面区域内自动生成全四边形网格,并能生成光滑过渡的局部加密网格和贴体性较好的边界层网格。该方法具有算法简单,计算量少的特点。利用所生成的网格对计算传热学中的典型算例-方腔自然对流进行求解,计算结果与基准解吻合,网格质量能够满足数值分析计算的要求。

Automatic generation method of quadrilateral meshes and its application to numerical simulation

Quadrilateral meshes on arbitrary 2D domain were generated by using indirect method.Firstly,triangle meshes were generated by improved two-point advancing method.Then by means of inserting nodes and subdivison technique,the mesh elements were composed with quadrilaterals completely.The edge interconversion,node elimation and inserting node locally were used to smooth meshes,and the meshes suitable to numerical calculation were obtained.The proposed method is characterized by its simplicity and ease of implementation.Mesh generation results demonstrate the robustness of the method.The method can also generate smooth graded quadrilateral mesh and body-fitted boundary layer meshes.The generated meshes were used to solve natural convection in a square cavity.The solution results agree well with the reference results.The quality of the generated meshes can be satisfied with the requirements of finite element numerical simulation.