1. 中国科学技术大学 数学学院,安徽,合肥,230026
2. 清华大学 航空航天学院,北京,100084
余亦泽(1993-), 男, 湖北人, 博士研究生, 研究方向:高精度计算.E-mail:yyz77@mail.ustc.edu.cn
徐胜利(1965-), 男, 安徽人, 博士, 教授, 研究方向:高速气流中的多相流与化学反应流.E-mail:slxu@mail.tsinghua.edu.cn
纸质出版:2020
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余亦泽, 徐胜利, 张梦萍, 张竹鹤. 不同半径圆柱诱导CH4/空气预混燃烧的计算研究[J]. 空气动力学学报, 2020, 38(1): 35-42. DOI: 10.7638/kqdlxxb-2018.0098.
YU Yize, XU Shengli, ZHANG Mengping, et al. Computation on premixed combustion of methane and air mixture induced by cylinders with different radiuses[J]. 2020, 38(1): 35-42.
余亦泽, 徐胜利, 张梦萍, 张竹鹤. 不同半径圆柱诱导CH4/空气预混燃烧的计算研究[J]. 空气动力学学报, 2020, 38(1): 35-42. DOI: 10.7638/kqdlxxb-2018.0098. DOI:
YU Yize, XU Shengli, ZHANG Mengping, et al. Computation on premixed combustion of methane and air mixture induced by cylinders with different radiuses[J]. 2020, 38(1): 35-42. DOI: 10.7638/kqdlxxb-2018.0098.
本文研究不同半径圆柱诱导CH
4
/空气预混燃烧流场。采用保自由流5阶WENO格式求解贴体坐标变换后的多组分Euler方程,用基元反应模型描述CH
4
/空气燃烧。不同于标准WENO格式通量构造方法,该WENO格式数值通量由方程的解进行WENO插值得到,在曲线坐标系下具有保自由流性质。首先给出了保自由流WENO格式精度和保自由流的数值验证,然后计算圆柱诱导CH
4
/空气预混气燃烧流场,并考察不同半径圆柱的影响,给出燃烧流场压力与温度等值线和云图、压力和温度沿过驻点线分布。结果表明:在考核计算结果网格无关性基础上,该WENO格式可准确地捕捉激波和火焰阵面形状、激波和火焰面驻点距离,得到的计算结果和文献结果相符。增大圆柱半径,激波和火焰面被推向来流方向,激波和火焰面之间距离也减小。和TVD格式相比,5阶WENO格式采用四分之一的网格数可得到近似相同的计算结果。
An alternative WENO scheme which preserves free stream properties is used to compute premixed combustion flow field induced by cylinders with different radiuses. Euler equations are solved by this 5
th
-order WENO scheme in body fitted curvilinear coordinate system. The grids are generated by analytical formulations for smoothness. The WENO scheme used in this paper combines with grid derivatives and conserves free stream properties in contrast to standard WENO schemes in the curvilinear systems.
L
1 errors
L
2 errors
and
L
∞
e
rrors are checked and free stream properties are verified for the WENO scheme. The grid independence is also checked for the obtained results. Pressure and temperature contours as well as their distributions along a symmetry line passing through stand-off points are obtained to show the ignition delay. The results demonstrate that a shock front and a flame front are both captured accurately by the coarse grid
as well as the distance between the flame front and shock wave corresponds to ignition delay for the specified chemistry model. The results show good agreement with those from the reference. The distance between the flame front and shock wave decreases with increasing the cylinder radius. In contrast to second order TVD scheme
grids are reduced considerable by the WENO scheme for almost the same numerical results.
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