## 留言板

 引用本文: 杨雨薇, 虞佳磊, 张亚萍, 李幸刚, 邱晓朴. 基于非结构自适应网格的二维Euler方程数值求解方法研究[J]. 应用数学和力学, 2016, 37(9): 981-992.
YANG Yu-wei, YU Jia-lei, ZHANG Ya-ping, LI Xing-gang, QIU Xiao-pu. Numerical Solution of the 2D Compressible Euler Equations Based on the Unstructured Adaptive Grids[J]. Applied Mathematics and Mechanics, 2016, 37(9): 981-992. doi: 10.21656/1000-0887.370077
 Citation: YANG Yu-wei, YU Jia-lei, ZHANG Ya-ping, LI Xing-gang, QIU Xiao-pu. Numerical Solution of the 2D Compressible Euler Equations Based on the Unstructured Adaptive Grids[J]. Applied Mathematics and Mechanics, 2016, 37(9): 981-992.

• 中图分类号: O351

## Numerical Solution of the 2D Compressible Euler Equations Based on the Unstructured Adaptive Grids

Funds: The National Natural Science Foundation of China（61262070；61462097）
• 摘要: 提出了一种基于非结构自适应网格的二维Euler方程的数值解法.采用有限体积法进行空间离散，通量计算采用Jamson中心格式，使得它适用于任意多边形计算单元.为了得到定常解，采用一种显式的四步Runge-Kutta迭代方法对时间进行积分.根据流场参数的变化梯度确定加密边，由加密准则进行自适应网格剖分, 然后得到分布合理的加密过后的网格.求解二维Euler方程，对NACA0012翼型进行了数值模拟，通过对自适应前后的数值解的对比，说明所建立的方法是正确的.
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##### 出版历程
• 收稿日期:  2016-03-16
• 修回日期:  2016-07-07
• 刊出日期:  2016-09-15

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