[1] MESHKOV E E. Instability of the interface of two gases accelerated by a shock wave [J]. Fluid Dynamics, 1969, 4(5): 101–104.
[2] BROUILLETTE M. The Richtmyer-Meshkov Instability [J]. Annual Review of Fluid Mechanics, 2002, 34(34): 445–468.
[3] LOMBARDINI M, PULLIN D I, MEIRON D I. Turbulent mixing driven by spherical implosions (Part 1): flow description and mixing-layer growth [J]. Journal of Fluid Mechanics, 2014, 748(2): 85–112.
[4] LOMBARDINI M, PULLIN D I, MEIRON D I. Turbulent mixing driven by spherical implosions (Part 2): turbulence statistics [J]. Journal of Fluid Mechanics, 2014, 748(10): 113–142.
[5] CLEMENS N T, MUNGAL M G. Large-scale structure and entrainment in the supersonic mixing layer [J]. Journal of Fluid Mechanics, 1995, 284(284): 171–216.
[6] KAWAI S, LELE S K. Large-eddy simulation of jet mixing in supersonic crossflows [J]. American Institute of Aeronautics and Astronautics, 2010, 48(9): 2063–2083. doi: 10.2514/1.J050282
[7] JOHNSEN E, COLONIUS T. Shock-induced collapse of a gas bubble in shockwave lithotripsy [J]. The Journal of the Acoustical Society of America, 2008, 124(4): 2011–2020. doi: 10.1121/1.2973229
[8] KLASEBOER E, HUNG K C, WANG C, et al. Experimental and numerical investigation of the dynamics of an underwater explosion bubble near a resilient/rigid structure [J]. Journal of Fluid Mechanics, 2005, 537(537): 387–413.
[9] RANJAN D, OAKLEY J, BONAZZA R. 3D shock-bubble interactions [J]. Physics of Fluids, 2013, 25(9): 117–140.
[10] THEOFANOUS T G. Aerobreakup of newtonian and viscoelastic liquids [J]. Annual Review of Fluid Mechanics, 2011, 43(1): 661–690. doi: 10.1146/annurev-fluid-122109-160638
[11] COLELLA P, WOODWARD P R. The piecewise parabolic method (PPM) for gas-dynamical simulations [J]. Journal of Computational Physics, 1984, 54(1): 174–201. doi: 10.1016/0021-9991(84)90143-8
[12] 马东军, 孙德军, 尹协远. 高密度比多介质可压缩流动的PPM方法 [J]. 计算物理, 2001, 18(6): 517–522. doi: 10.3969/j.issn.1001-246X.2001.06.008

MA D J, SUN D J, YIN X Y. Piecewise parabolic method for compressible flows of multifluids with high density ratios [J]. Chinese Journal of Computational Physics, 2001, 18(6): 517–522. doi: 10.3969/j.issn.1001-246X.2001.06.008
[13]

BAI J S, WANG B, WANG T, et al. Numerical simulation of the Richtmyer-Meshkov instability in initially nonuniform flows and mixing with reshock [J]. Physical Review E, 2012, 86(6): 066319. doi: 10.1103/PhysRevE.86.066319
[14]

BAI J S, ZOU L Y, WANG T, et al. Experimental and numerical study of shock-accelerated elliptic heavy gas cylinders [J]. Physical Review E, 2011, 82(2): 056318.
[15]

XIAO J X, BAI J S, WANG T. Numerical study of initial perturbation effects on Richtmyer-Meshkov instability in nonuniform flows [J]. Physical Review E, 2016, 94(1): 013112. doi: 10.1103/PhysRevE.94.013112
[16]

SHYUE K M. A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state [J]. Journal of Computational Physics, 1999, 156(1): 43–88. doi: 10.1006/jcph.1999.6349
[17]

SHYUE K M. An efficient shock-capturing algorithm for compressible multicomponent problems [J]. Journal of Computational Physics, 1998, 142(1): 208–242. doi: 10.1006/jcph.1998.5930
[18]

ALLAIRE G, CLERC S, KOKH S. A five-equation model for the simulation of interfaces between compressible fluids [J]. Journal of Computational Physics, 2002, 181(2): 577–616. doi: 10.1006/jcph.2002.7143
[19]

JOHNSEN E, COLONIUS T. Implementation of WENO schemes in compressible multicomponent flow problems [J]. Journal of Computational Physics, 2006, 219(2): 715–732. doi: 10.1016/j.jcp.2006.04.018
[20]

KOKH S, ALLAIRE G. Numerical simulation of 2-D two-phase flows with interface [C]//TORO E F. Godunov Methods.Boston, MA: Springer, 2001: 513–518.
[21]

II S, XIE B, XIAO F. An interface capturing method with a continuous function: the THINC method on unstructured triangular and tetrahedral meshes [J]. Journal of Computational Physics, 2014, 259: 260–269.
[22]

SHYUE K M, XIAO F. An Eulerian interface sharpening algorithm for compressible two-phase flow: the algebraic THINC approach [J]. Journal of Computational Physics, 2014, 268(2): 326–354.
[23]

XIAO F, HONMA Y, KONO T. A simple algebraic interface capturing scheme using hyperbolic tangent function [J]. International Journal for Numerical Methods in Fluids, 2005, 48(9): 1023–1040. doi: 10.1002/fld.975
[24]

XIAO F, II S, CHEN C. Revisit to the THINC scheme: a simple algebraic VOF algorithm [J]. Journal of Computational Physics, 2011, 230(19): 7086–7092. doi: 10.1016/j.jcp.2011.06.012
[25]

KOKH S, LAGOUTIÈRE F. An anti-diffusive numerical scheme for the simulation of interfaces between compressible fluids by means of a five-equation model [J]. Journal of Computational Physics, 2010, 229(8): 2773–2809. doi: 10.1016/j.jcp.2009.12.003
[26]

FRIESS M B, KOKH S. Simulation of sharp interface multi-material flows involving an arbitrary number of components through an extended five-equation model [J]. Journal of Computational Physics, 2014, 273(273): 488–519.
[27]

DELIGANT M, SPECKLIN M, KHELLADI S. A naturally anti-diffusive compressible two phases Kapila model with boundedness preservation coupled to a high order finite volume solver [J]. Computers and Fluids, 2015, 114(1): 265–273.
[28]

OLSSON E, KREISS G, ZAHEDI S. A conservative level set method for two phase flow II [J]. Journal of Computational Physics, 2007, 225(1): 785–807. doi: 10.1016/j.jcp.2006.12.027
[29]

SHUKLA R K, PANTANO C, FREUND J B. An interface capturing method for the simulation of multi-phase compressible flows [J]. Journal of Computational Physics, 2010, 229(19): 7411–7439. doi: 10.1016/j.jcp.2010.06.025
[30]

SHUKLA R K. Nonlinear preconditioning for efficient and accurate interface capturing in simulation of multicomponent compressible flows [J]. Journal of Computational Physics, 2014, 276(1): 508–540.
[31]

FREUND J B, SHUKLA R K, EVAN A P. Shock-induced bubble jetting into a viscous fluid with application to tissue injury in shock-wave lithotripsy [J]. The Journal of the Acoustical Society of America, 2009, 126(5): 2746–2756. doi: 10.1121/1.3224830
[32]

SHU C W. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws [C]//QUARTERONI A. Advanced Numerical Approximation of Nonlinear Hyperbolic Equations: Lecture Notes in Mathematics （Vol.1697）. Berlin, Heidelberg: Springer, 1998: 325–432.
[33]

NOURGALIEV R R, DINH T N, THEOFANOUS T G. Adaptive characteristics-based matching for compressible multifluid dynamics [J]. Journal of Computational Physics, 2006, 213(2): 500–529. doi: 10.1016/j.jcp.2005.08.028
[34]

HU X Y, KHOO B C. An interface interaction method for compressible multifluids [J]. Journal of Computational Physics, 2004, 198(1): 35–64. doi: 10.1016/j.jcp.2003.12.018
[35]

SHYUE K M. A wave-propagation based volume tracking method for compressible multicomponent flow in two space dimensions [J]. Journal of Computational Physics, 2006, 215(1): 219–244. doi: 10.1016/j.jcp.2005.10.030
[36]

HAAS J F, STURTEVANT B. Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities [J]. Journal of Fluid Mechanics, 1987, 181(1): 41–76.