HLLE+格式在高超声速热化学非平衡流场中的应用

摘要

对HLLE+格式进行了讨论,并将其应用于高超声速热化学非平衡反应流场的数值模拟.本文控制方程为带化学反应源项的多组元轴对称Navier-Stokes方程,为了保证数值模拟的精确度,空间分裂采用基于结构网格的有限体积迎风格式HLLE+方法,时间推进为隐式的LU-SGS方法.化学反应模型采用经典的Dunn-Kang反应模型,并且采用Park的双温模型模拟流场的热力学非平衡效应.对高超声速条件下的RAM-CII模型进行了数值模拟,得到了与实验以及文献相符合的结果,验证了对HLLE+格式扩展的正确性.%HLLE+scheme is applied to numerical simulation of hypersonic thermo-chemical non-equilibrium reacting flow. The control equations are axial-asymmetric multi-component Navier-Stokes equations and the spatial distribution is discretized using HLLE+ upwind scheme on structure meshes, with the implicit LU-SGS time advancing scheme. The chemical kinetic model is the Dunn-Kang' s reaction model and the bi-temperature Park model is employed for simulating the vibration non-equilibrium. The computational model is RAM-CII configuration with hypersonic non-equilibrium reacting flow, and the numerical results are in agreement with that of the references.