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

非理想气体非定常激波/涡流干扰流数值方法的发展

• 批准号: 09650177
• 负责人: YAMAMOTO Satoru
• 金额: $ 1.86万
• 依托单位: TOHOKU UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09650177/
• 关键词: Fluid Dynamics; Compressible Flow; Unsteady Flow; Non-perfect Gas; Shock Wave; Vortex; Shock; vortex Interaction; Numerical Method; 圧縮性流れ; 過干渉

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.

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。

项目成果

Satoru Yamamoto and Sintaro Kano: "An Efficient CFD Approach for Simulating Unsteady Hypersonic Shock-shock Interference Flows"Computers & Fluids. 27-5/6. 571-580 (1998)

Satoru Yamamoto 和 Sintaro Kano：“一种用于模拟非定常高超音速冲击-冲击干扰流的高效 CFD 方法”计算机

N.Takasu and S.Yamamoto: "Parametric study of Unsteady Hypersonic Shock/Shock Interterance Flow using Shock-Vortex Captuning Method" Proc.of Int,Conf.on Fluid Engineering JSME Centennial Grand Congress. 1. 431-436 (1997)

N.Takasu 和 S.Yamamoto：“使用冲击-涡流 Captuning 方法对非定常高超声速冲击/冲击交互流进行参数化研究”Proc.of Int，Conf.on 流体工程 JSME 百年大大会。

Norinao Takasu: "Parametric Study of Unsteady Hypersonic Shock / Shock Interference Flow Using Shock-Vortex Capturing Method"Proc. of Int. Conf. on Fluid Engineering, JSME Centennial Grand Cong. I. 431-436 (1997)

Norinao Takasu：“使用冲击涡捕获方法进行非定常高超声速冲击/冲击干涉流的参数研究”Proc。

Satoru Yamamoto: "Numerical Investigation of Nonequilibrium Condensation Effect around 3-D Transonic Wing in Moist Air"Proc. of Int. Conf. on Numerical Method in Fluid Dynamics. 515. 554-559 (1998)

Satoru Yamamoto：“潮湿空气中 3-D 跨音速机翼周围非平衡凝聚效应的数值研究”Proc。

Satoru Yamamoto: "An Efficient CFD Approach for Simulating Unsteady Hypersonic Shock-Shock interference Flows"Compnters and Fluids. 27. 571-580 (1998)

Satoru Yamamoto：“一种用于模拟非定常高超声速冲击-冲击干扰流的高效 CFD 方法”计算机和流体。