Development of Numerical Method for Unsteady Shock/vortex Interference Flow in Non-perfect Gas

1.发展了考虑热化学非平衡效应的高超声速非定常激波/激波干扰流的数值计算方法。在空间上采用四阶紧致MUSCL TVD格式与AUSM_DV格式耦合，在时间上采用最大二阶LU-SGS格式耦合，使得我们能够稳定地捕捉到非定常高温激波-激波干涉流场.发展了考虑相对湿度的非定常跨音速激波/涡干扰流场的数值计算方法。将经典的凝结理论应用于新导出的气液两相流基本方程。用本文方法成功地计算了高湿条件下大迎角翼型周围的非平衡凝结.开发了高超声速三维非定常激波/激波干扰流场计算程序。计算了高超声速平板上钝尾的绕流，解释了其非定常流动的机理.开发了三维机翼凝结云计算程序。成功地计算了三维机翼在潮湿条件下的非平衡凝结，即“凝结云”.开发了考虑热化学非平衡效应的高超声速三维非定常激波/激波干扰流场计算程序。计算结果表明，在3-D的情况下，考虑化学反应的重要性。在高温条件下，激波的离体距离急剧减小，加热速率发生显著变化.开发了轴对称磁等离子体粘性流动的计算程序。同时求解流动方程和磁场感应方程的一种有效隐式方法。

1. Numerical method of unsteady hypersonic shock/shock interference flows considering thermochemical nonequilibrium effect was developed. The fourth-order compact MUSCL TVD scheme coupled with AUSM_DV in space and maximum second-order LU-SGS scheme in time enable us to capture unsteady high-temperature shock-shock interference flows quite stably.2. Numerical method of unsteady transonic shock/vortex interaction flows considering relative humidity was developed. The classical condensation theory is applied to newly derived fundamental equations for gas-liquid two phase flows. Nonequilibrium condensations appear around a high angle of attack airfoil in very humid condition were successfully calculated using the present method.3. Computational code of unsteady three-dimensional hypersonic shock/shock interference flows was developed. Hypersonic flows around a blunted fin on the flat plate were calculated and the unsteady flow mechanism which indicates why they become unsteady flows is clearly explained.4. Computational code of three-dimensional condensation cloud around wing was developed. The nonequilibrium condensation around the 3-D wing in humid condition, so-called 'condensation cloud', was successfully calculated.5. Computational code of unsteady three-dimensional hypersonic shock/shock interference flows with thermochemical nonequilibrium effect was developed. The calculated results indicate the importance of considering the chemical reaction also in 3-D cases. The shock stand-off distance decreases dramatically and the heating rate is considerably changed in the high-temperature condition.6. Computational code of axisymmetric magnet-plasma viscous flows was developed. An efficient implicit method for solving flow equations and the induced equation of magnetic field simultaneously.