Abstract
Richtmyer-Meshkov (RM) instability occurs when an initially perturbed interface separating two different fluids is impulsively accelerated by a shock wave. If the density gradient of the interface and the pressure gradient of the shock wave are misaligned, baroclinic vorticity will be deposited in the flow, enhancing the interpenetration and mixing between two fluids. Up till now, the RM instability has been studied experimentally, numerically and theoretically due to the extensive applications in scientific and industrial fields, such as internal confinement fusion, supernova explosion, and the mixing of fuels in the scramjet.
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References
Perry, R.W., Kantrowitz, A.: The production and stability of converging shock waves. J. Appl. Phys. 22, 878–886 (1951)
Hosseini, S.H.R., Onodera, O., Takayama, K.: Characteristics of an annular vertical diaphragmless shock tube. Shock Waves 10, 151–158 (2000)
Dimotakis, P.E., Samtaney, R.: Planar shock cylindrical focusing by a perfect-gas lens. Phys. Fluids 18, 031705 (2005)
Zhai, Z.G., Liu, C.L., Qin, F.H., Yang, J.M., Luo, X.S.: Generation of cylindrical converging shock waves based on shock dynamics theory. Phys. Fluids 22, 041701 (2010)
Mariani, C., Vandenboomgaerde, M., Jourdan, G., Souffland, D., Houas, L.: Investigation of the Richtmyer-Meshkov instability with stereolithographed interfaces. Phys. Rev. Lett. 100, 254503 (2008)
Haas, J.F., Sturtevant, B.: Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J. Fluid Mech. 181, 41–76 (1987)
Tomkins, C., Kumar, S., Orlicz, G., Prestridge, K.: An experimental investigation of mixing mechanisms in shock-accelerated flow. J. Fluid Mech. 611, 131–150 (2008)
Wang, M.H., Si, T., Luo, X.S.: Generation of polygonal gas interfaces by soap film for Richtmyer-Meshkov instability study. Exp. Fluids 54, 1427 (2013)
Sun, M., Takayama, K.: Conservative Smoothing on an Adaptive Quadrilateral Grid. J. Comp. Phys. 150, 143–180 (1999)
Zhang, Q., Graham, M.J.: A numerical study of Richtmyer-Meshkov instability driven by cylindrical shocks. Phys. Fluids 10, 974–992 (1998)
Zhai, Z.G., Si, T., Luo, X.S., Yang, J.M.: On the evolution of spherical gas interfaces accelerated by a planar shock wave. Phys. Fluids 23, 084104 (2011)
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Long, T., Si, T., Luo, X. (2015). Richtmyer-Meshkov Instability of a Multimode Interface Accelerated by a Toroidal Shock Wave. In: Bonazza, R., Ranjan, D. (eds) 29th International Symposium on Shock Waves 2. ISSW 2013. Springer, Cham. https://doi.org/10.1007/978-3-319-16838-8_44
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DOI: https://doi.org/10.1007/978-3-319-16838-8_44
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16837-1
Online ISBN: 978-3-319-16838-8
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