隐式Runge-Kutta方法在非定常化学非平衡流动中的应用  

Research on the implicit Runge-Kutta Scheme for the unsteady reactive nonequilibrium flow

作　　者：李芳[1] 刘鑫[1] 尹万旺[1] 张娟[1] 陆林生[1] 

机构地区：[1]江南计算技术研究所,江苏无锡214083

出　　处：《空气动力学学报》2012年第2期215-218,共4页Acta Aerodynamica Sinica

基　　金：国家863高技术研究发展计划基金(2003AA723042);国家自然科学基金(10072077)

摘　　要：推导了求解NS方程组的隐式龙格-库塔方法,并从稳定性、精度和效率三方面展开讨论。通过定常和非定常算例对该方法进行验算,分析表明该方法计算结果正确、稳定性好、精度高、效率高,适合求解大型复杂非定常化学非平衡流动。In this paper, the implicit Runge-Kutta Scheme is derived to solve the NS equations, and its characters of stability, precision and efficiency are studied respectively. Some benchmark cases are calculated to validate the capabilities of the numerical program. The results show that the implicit R-K method given in this paper has high stability, high precision and high efficiency, which make it suitable to compute the un steady reactive nonequilibrium flow.

关 键 词：非定常 化学非平衡 隐式 Runge—Kutta方法 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]