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摘要: 采用二阶正格式方法对非定常欠膨胀射流进行了数值模拟。将二维守恒方程的正格式方法推广到轴对称Euler方程组的求解,并对不同马赫数下的燃气射流进行了数值计算。计算结果表明,该方法能够较好地捕捉到包含膨胀波、入射激波、反射激波、马赫盘、射流边界以及三波点等复杂射流流场的波系结构,与实验照片反映的流动特征以及已有的数值结果相吻合。表明该方法对间断解具有较强的捕捉能力,在激波阵面上不会出现数值振荡。Abstract: A numerical simulation of unsteady-state underexpanded jet was carried out using second order positive schemes, which was developed to solve the axisymmetric Euler equations based on two dimensional conservation laws. Computational results indicate that the method can capture the wave structures of jet flowfields including expansion fan, incident shock, reflected shock, Mach disk, jet boundary and the triple point well. Agreements between the numerical results and experimental or existed numerical results are fairly satisfactory. It indicates that the present method has high capability in capturing shocks without numerical oscillation near discontinuous points.
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Key words:
- computational fluid dynamics /
- gas jet /
- positive schemes /
- numerical simulation
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Chang S I. Unsteady-State Underexpanded Jet Flows [A]//38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Indianapolis [C]. United States, 2002: 7-10. Le G G, Ma D W, Zang G C. Numerical Simulation of Flow in Rocket Base by TVD [J]. Journal of Ballistics, 1995, 7(1): 35-40. (in Chinese) 乐贵高, 马大为, 臧国才. 火箭底部流动的TVD数值模拟 [J]. 弹道学报, 1995, 7(1): 35-40. Zheng M, Zhang H X. Application of Non-Oscillatory and Non-Free-Parameters Dissipative Finit Difference Scheme to the Calculation of Free-Jet Flows [J]. Acta Aerodynamica Sinca, 1989, 7(3): 273-281. (in Chinese) 郑敏, 张涵信. 无波动、无自由参数的耗散差分格式(NND)在喷流计算中的应用 [J]. 空气动力学学报, 1989, 7(3): 273-281. Xu W C, Huang Z Y. Calculation of Jets Flowfield with High Resolution ENO [J]. Acta Aerodynamica Sinca, 2001, 19(4): 401-406. (in Chinese) 徐文灿, 黄振宇. 高精度ENO格式在射流数值模拟中的应用 [J]. 空气动力学学报, 2001, 19(4): 401-406. Chen E Y, Li Z G, Ma D W, et al. Numerical Simulation of Unsteady-State Underexpanded Jet Using Discontinuous Galerkin Finite Element Method [J]. Transactions of Nanjing University of Aeronautics and Astronautics, 2008, 25(2): 89-93. Liu X D, Lax P D. Positive Schemes for Solving Multi-Dimensional Hyperbolic Systems of Conservation Laws [J]. CFD Journal, 1996, 5(2): 133-156. Liu X D, Lax P D. Positive Schemes for Solving Multi-Dimensional Hyperbolic Systems of Conservation Laws Ⅱ [J]. J Comput Phys, 2003, 187(2): 428-440. Cao Y Z, Lu Z S, Guan H A. Numerical Simulation of Blast Flowfields in Closed Blast-Resistant Containers [J]. Chinese Journal of High Pressure Physics, 2001, 15(2): 127-133. (in Chinese) 曹玉忠, 卢泽生, 管怀安. 抗爆容器内爆炸流场数值模拟 [J]. 高压物理学报, 2001, 15(2): 127-133. Sweby P K. High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws [J]. SIAM J Numerical Analysis, 1984, 21(5): 995-1011. Kurganov A, Tadmor E. New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations [J]. J Comput Phys, 2000, 160(1): 241-282. Shu C W. Total-Variation-Diminishing Time Discretizations [J]. SIAM Journal on Scientific and Statistical Computing, 1988, 9(6): 1073-1084. Shu C W, Osher S. Efficient Implementation of Essentially Non-Oscillatory Shock-Capturing Schemes, Ⅱ [J]. J Comput Phys, 1989, 83(1): 32-78. Chang S I, Chow W L. Mach Disc from Underexpanded Axisymmetric Nozzle Flow [J]. AIAA J, 1974, 12(8): 1079-1082.
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