【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，是高超音速化学非平衡流数值模拟的有效方法更多还原

【Abstract】 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.更多还原