计算物理 ›› 2008, Vol. 25 ›› Issue (2): 139-144.

• 研究论文 • 上一篇    下一篇

热化学非平衡流动的DSMC-ME算法研究

叶品1,2, 钟诚文1   

  1. 1. 西北工业大学 翼型、叶栅空气动力学国防科技重点实验室, 陕西 西安 710072;
    2. 中国空空导弹研究院总体部, 河南 洛阳 471009
  • 收稿日期:2006-10-10 修回日期:2007-04-09 出版日期:2008-03-25 发布日期:2008-03-25
  • 作者简介:叶品(1981-),男,浙江上虞,硕士生,从事理论与计算流体力学方面的研究,西北工业大学航空学院710072.

DSMC-ME Method for Thermo-chemical Non-equilibrium Gas Flows

YE Pin1,2, ZHONG Chengwen1   

  1. 1. National Key Laboratory of Aerodynamics Design and Research, Northwestern Polytechnical University, Xi′an 710072, China;
    2. China Airborne Missile Academy, Luoyang 471009, China
  • Received:2006-10-10 Revised:2007-04-09 Online:2008-03-25 Published:2008-03-25

摘要: 将最大熵方法(Maximum Entropy,缩写为ME)引入Direct Simulation Monte Carlo(DSMC)模拟热化学非平衡流动过程中,构造一个计算非平衡条件下化学反应几率和反应碰撞能量分配的最大熵模型.在DSMC-ME的模拟过程中,对分子间的非反应碰撞,采用传统的Larsen-Borgnakke唯象论模型模拟碰撞分子内能的激发与松弛;对分子间反应碰撞,采用最大熵模型模拟分子间的化学反应和能量交换.通过模拟高空高超声速绕圆柱和低密度高焓绕钝头锥体流动,并与DSMC算法和HEG实验结果比较,论证了DSMC-ME算法的有效性.

关键词: 最大熵(ME), DSMC, 非平衡, 化学反应

Abstract: For the simulation of thermochemical non-equilibrium gas flows by direct simulation Monte Carlo(DSMC), a model based on maximum entropy (ME) is developed to calculate reaction probability and post reaction energy disposal. For non-reacting collisions, a generalized Larsen-Borgnakke method is employed for energy exchange. For reacting collisions, ME method is employed for energy exchange and chemical reaction. Hypersonic gas flow around a cylinder in high altitude and gas flow around a blunted cone of low density and high entropy are simulated and compared with results of DSMC method and HEG wind-tunnel data. The DSMC-ME is demonstrated reliable.

Key words: maximum entropy (ME), direct simulation Monte Carlo, non-equilibrium, chemical reaction

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