高超声速复杂流动中的限制器效应数值仿真  

Numerical Simulations of Limiter Function Effects for Hypersonic Complex Viscous Flows

作　　者：李广宁[1] 徐敏[1] 

机构地区：[1]西北工业大学航天学院,西安710072

出　　处：《宇航学报》2014年第7期777-785,共9页Journal of Astronautics

摘　　要：从理论分析和数值计算两个方面,对计算流体动力学(CFD)计算中常见的几种MUSCL型迎风式限制器耗散特性进行了研究,包括superbee限制器、van Albada限制器和两种minmod限制器。首先从理论上证明minmod限制器可以是耗散性较小的压缩型限制器,前人关于minmod限制器完全是耗散型限制器的认识是不准确的。其次,通过NACA0012翼型绕流计算表明,限制器耗散特性会对数值计算收敛过程产生重要影响,耗散性越小,如superbee限制器,则收敛越困难。第三,通过一个有实验结果的24°压缩拐角高超声速复杂流动数值计算,进一步澄清了前人关于minmod限制器耗散特性的不准确认识,得到了与理论分析相一致的计算结果,即minmod限制器可以是耗散性比Albada限制器更小的压缩型限制器。计算结果表明,对于包含强激波的高超声速复杂流动,本文使用的minmod限制器比superbee限制器和van Albada限制器更容易满足稳定性和高精度的计算要求。The diffusion properties of several MUSCL-type （Monotone Upstream-Centred Schemes for Conservation Laws） limiters including superbee limiter, van Albada limiter and two types of minmod limiters （named minmod-1 limiter and minmod-2 limiter respectively） have been studied. The theoretical analysis is performed firstly, and the results show the minmod-2 limiter, which has been mistaken as a diffusion limiter previously, is a compression limiter with some special parameters. The inaccurate impression about the minmod-2 limiter＇ s property is redressed. The transonic flow about NACA0012 airfoil is computed, and the results show that the diffusion property of limiter can have great influence on the convergence property of a simulation. More less the diffusion of a limiter is, such as superbee limiter, more difficult the convergence of computation is. Numerical computations of the hypersonic complex flow about a 24-degrees of compression comer is performed and experimental data are used to validate the properties of the selected limiters for hypersonic complex flows. The computational results indicate that minmod-2 limiter is a compression limiter surely, which is consistent with the theoretical analysis. For hypersonic complex flows with strong shock waves, it is recommended to use the compressive minmod-2 limiter because of its stability and high-resolution.

关 键 词：计算流体动力学 迎风式 限制器 高超声速流动 激波 

分 类 号：V411.3[航空宇航科学与技术—航空宇航推进理论与工程]