| 迎风格式在二维非结构网格中的应用 |
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| 引用本文： | 王平,朱自强,吕哓斌.迎风格式在二维非结构网格中的应用[J].北京航空航天大学学报,2000,26(5):588-591. |
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| 作者姓名： | 王平 朱自强 吕哓斌 |
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| 作者单位： | 北京航空航天大学 飞行器设计与应用力学系 |
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| 摘 要： | 将原来在结构网格中提出的AUSM+(Advection Upstream Splitting Method)格式,推广应用于二维非结构网格中.利用格林-高斯公式对控制体内的变量进行线性重构,获得空间二阶精度,并采用Barth型限制器以抑制数值解的振荡.为提高计算效率,采用了自适应多重网格法.最后给出了NACA0012翼型和平板激波反射的几个Euler方程的算例,并进行了分析比较.
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| 关 键 词： | 计算流体力学 欧拉方程 可压缩流动 非结构网格 自适应网格法 多重网格法 |
| 收稿时间： | 1999-05-27 |
Upwind Scheme Used on Two Dimensional Unstructured Adaptive Meshes |
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| WANG Ping,ZHU Zi-qiang,Lü,Xiao-bin.Upwind Scheme Used on Two Dimensional Unstructured Adaptive Meshes[J].Journal of Beijing University of Aeronautics and Astronautics,2000,26(5):588-591. |
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| Authors: | WANG Ping ZHU Zi-qiang Lü Xiao-bin |
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| Institution: | Beijing University of Aeronautics and Astronautics,Dept. of Flight Vehicle Design and Applied Mechanics |
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| Abstract: | The AUSM+ (Advection Upstream Splitting Method) finite-volume scheme, which was developed in structured grids, has been extended to be used on unstructured meshes. The linear reconstruction approach using Green-Gauss gradient estimation is applied in order to obtain second order spatial accuracy. A new gradient estimation based on the weighted average of Barth and Jespersen's three point model limiter is employed to minimize the numerical oscillations around solution discontinuities. An adaptive multigrid method is used to accelerate the convergence. Finally, numerical experiments on supersonic shock reflection flow over flat plane, transonic flow over NACA0012 and RAE 2822 airfoils are calculated to validate the methodology. |
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| Keywords: | computation fluid mechanics Euler equation compressible flow unstructured grid adaptive grids method multigrid method |
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