基于非结构自适应网格的二维Euler方程数值求解方法研究

杨雨薇; 虞佳磊; 张亚萍; 李幸刚; 邱晓朴

doi:10.21656/1000-0887.370077

基于非结构自适应网格的二维Euler方程数值求解方法研究

doi: 10.21656/1000-0887.370077

¹云南师范大学信息学院, 昆明 650000;²南京航空航天大学航空宇航学院,南京 210000

基金项目: 国家自然科学基金（61262070；61462097）

详细信息

作者简介:
杨雨薇（1993—），女，硕士生(E-mail: 18287112897@163.com);张亚萍（1979—），女，副教授,博士，硕士生导师(通讯作者. E-mail: zhangyp79@sina.com).

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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

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

¹School of Information Science and Technology, Yunnan Normal University, Kunming 650000, P.R.China;²College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210000, P.R.China

Funds: The National Natural Science Foundation of China（61262070；61462097）

摘要

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.
- Euler方程 /
- 数值解法 /
- 非结构网格 /
- 自适应网格
Abstract: A numerical method for the solution of the 2D Euler equations based on the unstructured adaptive grids was proposed. The finite-volume method was used to carry out the space discretization, and the flux was calculated with Jamson’s central scheme, which was suitable for the calculation of arbitrary polygons. In order to get the stationary solution, an explicit 4-step Runge-Kutta iterative method was adopted to do the time-domain integral. According to the gradients of the flow field parameters, the refining edges were determined. Under this refining criterion, the mesh distribution was reasonably improved. With the proposed method the 2D Euler equations were solved for the simulation of the NACA0012 airfoil. The numerical results show the correctness and validity of the present method.
- Euler equation /
- numerical solution /
- unstructured grid /
- adaptive mesh refinement

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参考文献(15)

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基于非结构自适应网格的二维Euler方程数值求解方法研究

doi: 10.21656/1000-0887.370077

作者简介:
杨雨薇（1993—），女，硕士生(E-mail: 18287112897@163.com);张亚萍（1979—），女，副教授,博士，硕士生导师(通讯作者. E-mail: zhangyp79@sina.com).

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

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留言板

基于非结构自适应网格的二维Euler方程数值求解方法研究

doi: 10.21656/1000-0887.370077

作者简介: 杨雨薇（1993—），女，硕士生(E-mail: 18287112897@163.com);张亚萍（1979—），女，副教授,博士，硕士生导师(通讯作者. E-mail: zhangyp79@sina.com).

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出版历程

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

计量

出版历程

目录

作者简介:
杨雨薇（1993—），女，硕士生(E-mail: 18287112897@163.com);张亚萍（1979—），女，副教授,博士，硕士生导师(通讯作者. E-mail: zhangyp79@sina.com).