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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.
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Keywords:
- Richemyer-Meshkov instability /
- isosceles trapezia cylinder /
- mixing /
- wave structure
[1] Marble F E, Hendrics G J, Zukoski E E 1987 AIAA 87 1880
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[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 物理学报 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 物理学报 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 物理学报 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] -
[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 物理学报 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 物理学报 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 物理学报 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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