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Research on 2D Isotropy Mesh Quality Optimization Method Based on Dynamic Bubbles Movement

DOI：

 作者 单位 邮编 刘翰林 石家庄铁道大学 数理系 050043 崔会敏* 石家庄铁道大学 数理系 050043 张珍 石家庄铁道大学 省部共建交通工程结构力学行为与系统安全国家重点实验室 韩智铭 石家庄铁道大学 省部共建交通工程结构力学行为与系统安全国家重点实验室 刘庆宽 石家庄铁道大学 省部共建交通工程结构力学行为与系统安全国家重点实验室

在计算流体力学中，网格质量极大影响着数值模拟结果精度及运算效率。气泡堆积法无需考虑相交判断且数据结构较为简单，在网格生成效率和质量上具有明显优势。本文在传统气泡堆积法的基础上，优化了通过移动节点提升各向同性网格质量的过程，即Bubble-Opt方法。将不同气泡半径选取方法以及不同过程参数下Bubble-Opt方法的优化效果进行对比。对二维圆柱绕流算例，存在一组最优参数和最佳半径选取方法，使得网格质量优化效果最佳，平均过渡比可提高约17.37%，平均网格质量可提高约13.60%，并且可显著提高最低过渡比以及最低网格质量。最后，在该半径选取方法和过程参数下，对二维圆柱绕流和NACA0012翼型流动算例，使用优化后的网格进行数值模拟得到的平均速度云图更加光滑，具有更合理的物理意义，可见整体网格质量显著提高。

In the computational fluid dynamics, mesh quality greatly affects the accuracy and computational efficiency of numerical simulation results. The Bubble does not require the consideration of intersection judgments and has a relatively simple data structure, which has significant advantages in the mesh generation efficiency and quality. Based on the traditional Bubble, this paper optimizes the process of improving the quality of isotropic meshes by moving nodes, namely the Bubble-Opt method. The optimization effects of Bubble-Opt method under different radius selection methods and process parameters are compared in this paper. For the example of flow around a 2D cylinder, there is a set of optimal parameters and a radius selection method that achieve the best mesh quality optimization effect. The average transition ratio can be improved by about 17.37%, the average mesh quality can be improved by about 13.60%, and the minimum transition ratio and minimum mesh quality can be significantly improved. Finally, under the radius selection method and process parameters, numerical simulations of flow around the 2D cylinder and NACA0012 airfoil are conducted using the optimized mesh, resulting in smoother average velocity cloud maps and more reasonable physical significance. The overall mesh quality has significantly improved.
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