数值模拟高超音速化学非平衡流的隐式格式  

Implicit Schemes for Numerical Simulations of Hypersonic Nonequilibrium Flows

作　　者：吴颂平[1] 陆烨[1] 郑波[1] 

机构地区：[1]北京航空航天大学

出　　处：《北京航空航天大学学报》1998年第6期625-632,共8页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家高技术"八六三"计划

摘　　要：针对高超音速化学非平衡流提出了两种隐式格式．一种是近似因子分解算法对角化形式在隐式ＴＶＤ（全变差递减）格式上的推广，另一种可视为隐式ＴＶＤ格式的ＬＵ分解形式．数值试验表明，本文给出的算法保持了ＴＶＤ格式的高分辨率特性，同时计算量大大减少。Two forms of implicit TVD schemes are proposed in this paper for the simulation of nonequilibrium flows past hypersonic re entry vehicle, which are derived from the diagonal form of an approximate factorization algorithm and lower upper scheme applied to the implicit part of Harten Yee's TVD scheme respectively. Numerical tests are taken for the two dimensional and three dimensional chemically nonequilibrium flows, and the results demonstrate that the algorithms in the paper are both efficient with high resolution and less cost in computation.

关 键 词：高超音速流动 数值模拟 TVD格式 化学非平衡流 

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] V211.22