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基于大涡模拟，结合五阶加权基本无振荡格式以及沉浸边界法对平面入射激波与两种SF6梯形重气柱的相互作用过程进行了数值模拟. 数值结果清晰地显示了激波诱导Richtmyer-Meshkov不稳定性所导致的两种梯形重气柱的变形过程，详细分析了入射激波在两种梯形重气柱界面发生反射、折射、绕射以及折射激波与透射激波在气柱内部来回反射的过程，并研究了该过程中所产生的复杂波系结构. 对两种梯形气柱变形过程中与周围空气的混合过程进行了分析；通过记录气柱界面四个特征尺寸随时间的变化对两种梯形气柱界面的不同演化过程进行了定量分析.
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关键词:
- Richtmyer-Meshkov不稳定性 /
- 梯形气柱 /
- 混合 /
- 波系结构
Based on the large eddy simulation, combined with the 5th order weighted essentially non-oscillatory scheme and the immersed boundary method, the interaction between planar shock wave and two isosceles trapezoid SF6 cylinders is numerically simulated. Our numerical results clearly show that the deformations of isosceles trapezoid cylinders are induced by the Richtmyer-Meshkov instability due to the interaction of shock wave with them. The reflecting, refracting and diffracting process of incident shock are discussed in detail, and the complex wave structures induced during these processes are revealed. In addition, the mixing mechanism of SF6 gas and air is expatiated. Furthermore, the efforts are made to understand the difference in the evolution of the interface between these two isosceles trapezoid cylinders by analyzing the variation of four characteristic scales.-
Keywords:
- Richemyer-Meshkov instability /
- isosceles trapezia cylinder /
- mixing /
- wave structure
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[30] Tao Y S, Wang L F, Ye W H 2012 Acta Phys. Sin. 61 075207 (in Chinese) [陶烨晟, 王立锋, 叶文华2012 61 075207]
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[33] [34] Jiang G, Shu C W 1996 J. Computat. Phys. 126 202
[35] [36] Ranjan D, Oakley J, Bonazza R 2011 Ann. Rev. Fluid Mech. 43 117
[37] [38] Ye W H, Fan Z F, Wang L F 2009 Chin. Phys. Lett. 26 074704
[39] -
[1] Marble F E, Hendrics G J, Zukoski E E 1987 AIAA 87 1880
[2] [3] Lindl J D, McCrory R L, Campbell E M 1992 Phys. Today 45 32
[4] Oran E S, Gamezo V N 2007 Combust Flame 148 4
[5] [6] [7] Sha S, Chen Z H, Zhang H H 2012 Acta Phys. Sin. 61 064702 (in Chinese) [沙莎, 陈志华, 张焕好 2012 61 064702]
[8] Markstein G H 1957 J. Aerosol. Sci. 24 238
[9] [10] [11] Richtmyer R D 1960 Commun. Pure Appl. Math. 13 297
[12] [13] Meshkov E E 1969 Fluid Dyn. 4 101
[14] [15] Haas J F 1987 J. Fluid Mech. 181 41
[16] Zhai Z G, Si T, Zou L Y, Luo X S 2013 Acta Mech. Sin. 29 24
[17] [18] Bates K R, Nikiforakis N, Holder D 2007 Phys. Fluids 19 036101
[19] [20] Hoi D N, Hamid A, Kevin R B, Nikos N 2011 Commun. Nonlinear Sci. Numer. Simul. 16 4158
[21] [22] [23] Zou L Y, Liu C L, Tan D W, Huang W B, Luo X S 2010 J. Vis. 13 347
[24] Fan M R, Zhai Z G, Si T, Luo X S, Yang J M 2011 Sci. China G: Phys. Mech. Astron. 41 862 (in Chinese) [范美如, 翟志刚, 司廷, 罗喜胜, 杨基明 2011 中国科学 G 辑: 物理学, 力学, 天文学 41 862]
[25] [26] [27] Fan M R, Zhai Z G, Si T, Luo X S, Zou L Y, Tan D W 2012 Sci. China G: Phys. Mech. Astron. 55 284
[28] [29] Sha S, Chen Z H, Xue D W 2013 Acta Phys. Sin. 62 144701 (in Chinese) [沙莎, 陈志华, 薛大文 2013 62 144701]
[30] Tao Y S, Wang L F, Ye W H 2012 Acta Phys. Sin. 61 075207 (in Chinese) [陶烨晟, 王立锋, 叶文华2012 61 075207]
[31] [32] Liu X D, Osher S, Chan T 1994 J. Computat. Phys. 115 200
[33] [34] Jiang G, Shu C W 1996 J. Computat. Phys. 126 202
[35] [36] Ranjan D, Oakley J, Bonazza R 2011 Ann. Rev. Fluid Mech. 43 117
[37] [38] Ye W H, Fan Z F, Wang L F 2009 Chin. Phys. Lett. 26 074704
[39]
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