再入飞行中DSMC与Navier-Stokes两种模型的计算与分析

王保国; 黄伟光; 钱耕; 李翔; 李学东

再入飞行中DSMC与Navier-Stokes两种模型的计算与分析

1.
北京理工大学宇航学院,北京 100081
2.
中国科学院工程热物理研究所,北京 100190

基金项目: 国家自然科学基金(50376004); 高等学校博士学科点专项基金(20030007028)

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出版历程
- 收稿日期: 2011-02-28
- 修回日期: 2011-03-16
- 刊出日期: 2011-05-28

Computation and analysis of DSMC and Navier-Stokes model in reentry flight

1.
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
2.
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China

摘要

摘要: 首次提出了再入飞行过程中“小Knudsen数特征区(即域)”的概念,并用直接模拟蒙特卡罗(DSMC)算法与求解Navier-Stokes方程两种模型详细研究了在这个区域中的流动.数值计算表明:采用王保国教授课题组自己编制的DSMC源程序和求解多组分、考虑热力学非平衡以及化学反应非平衡、弱守恒型Navier-Stokes方程组的源程序均可以完成在该区域的流动计算,而且所得流场气动参数的分布趋势大体上基本一致,对应点处相应参数的值相差较小.计算中发现:采用DSMC程序计算时,当来流工况的Knudsen数越小、越接近Kn₁时则计算所需的时间越长,使用该程序可以得到域的Kn₁值,其值近似为0.0019;采用Navier-Stokes方程的程序时,当来流工况的Knudsen数越大、越接近Kn₂时则计算越不易收敛,使用该程序能够得到Kn₂值,其值近似为0.0125.计算中还发现:在流场计算过程中,分别采用DSMC与Navier-Stokes方程的源程序,其对应的来流工况Knudsen数取值分别越接近Kn₁与Kn₂时,均会出现收敛速度明显变慢的现象.为此,文中给出了加速流场计算收敛的3种措施.正是由于小Knudsen数特征区的存在,因此整个再入过程的所有飞行工况可以通过适当选用DSMC与Navier-Stokes方程的程序完成.显然,这个结论对再入飞行过程中的数值计算来讲是非常重要的.
- 再入飞行 /
- 小Knudsen数特征区 /
- Navier-Stokes方程 /
- 直接模拟蒙特卡罗 (DSMC) /
- 高超声速气动热力学
Abstract: The concept of “low Knudsen number characteristic region”,which is ,in the process of reentry,has been presented for the first time,and the fluid in the region has been studied using direct simulation Monte Carlo (DSMC)and Navier-Stokes model respectively.It has been shown by the numerical computation that both of the DSMC code and weak conservative Navier-Stokes code with multi-species,thermodynamic non-equilibrium and chemical non-equilibrium compiled by Professor Wang Baoguo and his group can complete the computation in this region.The distribution of flowfield shows agreement with each other,and values of corresponding parameter only have very limited difference.As we can see in the computation:when DSMC is being used,the computation time increases with the decrease of Knudsen number.Value of Kn₁ can be got from this code,which is near 0.001 9.When Navier-Stokes is being used,the computation is more difficult to get convergence with a higher Knudsen number.Value of Kn₂ can be got from this code,which is near 0.012 5.It has also been found that during the computation,for Knudsen number closed to Kn₁ and Kn₂ respectively,the use of DSMC and Navier-Stokes code will lead to a decrease of the convergence rate.There are three measures to accelerate the convergence which will be introduced in this paper.Because of the low Knudsen number characteristic region,all the flight cases of the reentry process could be completed by appropriate selection between DSMC and Navier-Stokes code.Obviously,this conclusion is very important for the numerical computation in reentry flight process.
- reentry flight /
- low Knudsen number characteristic region /
- Navier-Stokes /
- direct simulation Monte Carlo (DSMC) /
- hypersonic aerothermodynamics

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参考文献(59)

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