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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 shock wave interacting with an R22 cylinder is numerically simulated. Our numerical results present clearly the deformation of cylinder induced by the Richtmyer-Meshkov instability due to the interaction of shock wave with R22 cylinder, which accords well with previous experimental results of Haas and Sturtevant [Haas J F and Sturtevant B 1987 J. Fluid Mech. 181 41]. In addition, the numerical results reveal the generation process of a jet induced by the refracted shock focusing near the right interface of the inner cylinder, as well as the roll-up of the secondary vortexes along the slip layer of two main vortexes. The mixing mechanism of R22 gas and air is also expatiated. Furthermore, the evolution of R22 cylinder under reshock condition is numerically simulated with two different end wall distances. For the long distance case, the reflected wave interacts with severely distorted R22 volume, making it further compressed on the x-axis. While for the small case, two Mach reflections occur between the reflected shocks during their propagating upstream within the cylinder. The two high pressure areas behind two triple points can accelerate the boundary of the R22 cylinder while they are passing through it and induce two jets.
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Keywords:
- Richtmyer-Meshkov instability /
- R22 cylinder /
- reshock /
- jet
[1] Sha S, Chen Z H, Zhang H H, Jiang X H 2012 Acta Phys. Sin. 61 064702 (in Chinese) [沙莎, 陈志华, 张焕好, 姜孝海 2012 61 064702]
[2] Marble F E, Hendrics G J, Zukoski E E 1987 American Insititute of Aeronautics and Astronautics US, AIAA 87 1880
[3] Oran E S, Gamezo V N 2007 Combust Flame 148 4
[4] Lindl J D, McCrory R L, Campbell E M 1992 Phys. Today 45 32
[5] Markstein G H 1957 J. Aerosol. Sci. 24 238
[6] Richtmyer R D 1960 Commun. Pure Appl. Math. 13 297
[7] Meshkov E E 1969 Fluid Dyn. 4 101
[8] Haas J F, Sturtevant B 1987 J. Fluid Mech. 181 41
[9] Tomkins C, Kumar S, Orlicz G, Prestridge K 2008 J. Fluid Mech. 611 131
[10] Shankar S K, Kawai S, Lele S K 2011 Phys. Fluids 23 024102
[11] Zou L Y, Liu C L, Tan D W, Huang W B, Luo X S 2010 J. Vis. 13 347
[12] Fan M R, Zhai Z G, Si T, Luo X S, Zou L Y, Tan D W 2012 Phys. Mech. Astron. 55 284
[13] Zhai Z G, Si T, Luo X S, Yang J M 2011 Phys. Fluids 23 084104
[14] Wang X S, Si T, Luo X S, Yang J M 2012 Chin. J. Theor. Appl. Mech. 44 664 (in Chinese) [王显圣, 司廷, 罗喜胜, 杨基明 2012 力学学报 44 664]
[15] Fu D X, Ma Y W, Li X L 2008 Chin. Phys. Lett. 25 188
[16] Ma Y W, Tian B L, Fu D X 2004 Chin. Phys. Lett. 21 1770
[17] Tan D W, Zhang X 2009 Chin. Phys. Lett. 26 084703
[18] 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]
[19] Liu X D, Osher S, Chan T 1994 J. Computat. Phys. 115 200
[20] Jiang G, Shu C W 1996 J. Computat. Phys. 126 202
[21] Charendon S 1961 Hydrodynamic and Hydromagnetic Stability (Oxford: Clarendon press) p481
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[1] Sha S, Chen Z H, Zhang H H, Jiang X H 2012 Acta Phys. Sin. 61 064702 (in Chinese) [沙莎, 陈志华, 张焕好, 姜孝海 2012 61 064702]
[2] Marble F E, Hendrics G J, Zukoski E E 1987 American Insititute of Aeronautics and Astronautics US, AIAA 87 1880
[3] Oran E S, Gamezo V N 2007 Combust Flame 148 4
[4] Lindl J D, McCrory R L, Campbell E M 1992 Phys. Today 45 32
[5] Markstein G H 1957 J. Aerosol. Sci. 24 238
[6] Richtmyer R D 1960 Commun. Pure Appl. Math. 13 297
[7] Meshkov E E 1969 Fluid Dyn. 4 101
[8] Haas J F, Sturtevant B 1987 J. Fluid Mech. 181 41
[9] Tomkins C, Kumar S, Orlicz G, Prestridge K 2008 J. Fluid Mech. 611 131
[10] Shankar S K, Kawai S, Lele S K 2011 Phys. Fluids 23 024102
[11] Zou L Y, Liu C L, Tan D W, Huang W B, Luo X S 2010 J. Vis. 13 347
[12] Fan M R, Zhai Z G, Si T, Luo X S, Zou L Y, Tan D W 2012 Phys. Mech. Astron. 55 284
[13] Zhai Z G, Si T, Luo X S, Yang J M 2011 Phys. Fluids 23 084104
[14] Wang X S, Si T, Luo X S, Yang J M 2012 Chin. J. Theor. Appl. Mech. 44 664 (in Chinese) [王显圣, 司廷, 罗喜胜, 杨基明 2012 力学学报 44 664]
[15] Fu D X, Ma Y W, Li X L 2008 Chin. Phys. Lett. 25 188
[16] Ma Y W, Tian B L, Fu D X 2004 Chin. Phys. Lett. 21 1770
[17] Tan D W, Zhang X 2009 Chin. Phys. Lett. 26 084703
[18] 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]
[19] Liu X D, Osher S, Chan T 1994 J. Computat. Phys. 115 200
[20] Jiang G, Shu C W 1996 J. Computat. Phys. 126 202
[21] Charendon S 1961 Hydrodynamic and Hydromagnetic Stability (Oxford: Clarendon press) p481
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