Error matching principle for heat transfer calculations in hypersonic flow simulations
-
摘要: 通过对粘性边界层的数值模拟和误差分析,提出了差分格式的误差匹配原则.在边界层内的计算网格一般都具有很大的长宽比,而计算误差与网格长宽比密切相关.为了使不同坐标方向上的误差保持在同一量级上,需根据误差匹配原则确定计算网格的尺寸.对绕钝锥的高超音速流动进行了数值模拟,进而计算了钝锥表面的热流分布.数值计算表明,参照误差匹配原则进行网格划分是有益的,可在保持流场数值计算精度和提高热流计算准确性的同时,使网格的数量和分布更为合理.Abstract: An error matching principle, which is base on the error analysis of the computations with high-aspect-ratio grids, is derived for the finite difference simulation of the viscous boundary layer flows. The high- aspect-ratio grids were commonly used in numerical simulations of the viscous boundary layer flows and the main calculation error was always correlated to the aspect ratio of the grids. The principle above could be used to keep the same degree of the calculation error in spatial directions respectively. The error matching principle given was verified by the numerical simulation of the hypersonic flows over a blunt-cone. The flow field and the surface heat transfer rate were calculated in the numerical simulation. The results show that the error matching principle is great benefit to generate optimal grids. The optimal grids followed the error matching principle can minimize the error and improve the computational efficiency. At the same time, the accurate calculation of flow field and the surface heat transfer rate are benefited from the match of errors.
-
Key words:
- hypersonic flow /
- error analysis /
- surface heat transfer
-
[1] 卞荫贵,徐立功. 气动热力学[M] 合肥:中国科学技术大学出版社,1997 Bian Yingui, Xu Ligong. Aerothermodynamics[M] Hefei:University of Science and Technology of China Press, 1997(in Chinese) [2] Hoffmann K A, Siddiqui M S, Chiang S T. Difficulties associated with the heat flux computations of high speed flows by the Navier-Stock equations. AIAA-91-0467,1991 [3] 王 浩. 高超音速流动数值模拟与热流数值计算. 北京:北京航空航天大学航空科学与工程学院,2002 Wang Hao. Numerical simulation of hypersonic flows and calculation of aerothermal heating. Beijing:School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, 2002(in Chinese) [4] 贺国宏,张涵信. 高超声速钝头体热流数值计算研究. 见:张涵信主编. 第九届全国计算流体力学会议论文集. 北京:北京空气动力研究所,1998. 128~133 He Guohong, Zhang Hanxin. Study of numerical simulation of hypersonic flows around blunt-cone. In:Zhang Hanxin,ed. 9th National Congress on Computational Fluid Dynamics. Beijing:Beijing Aerodynamics Institute, 1998. 128~133(in Chinese) [5] 瞿章华,刘 伟,曾 名,等. 高超声速空气动力学[M] 长沙:国防科技大学出版社,2001 Qu Zhanghua, Liu Wei, Zeng Ming, et al. Hypersonic aerodynamics[M] Changsha:National University of Defence Technology Press, 2001(in Chinese) -
点击查看大图
计量
- 文章访问数: 3107
- HTML全文浏览量: 20
- PDF下载量: 855
- 被引次数: 0
下载:
