Numerical simulation of Richtmyer–Meshkov instabilities in shocked gas curtains

References

• Brouillette , M. 2002 . The Ritchmyer–Meshkov instability . Annu. Rev. Fluid Mech. , 34 : 445 – 468 .
   Web of Science ®Google Scholar
• Grinstein , F. F. 2009 . On integrating large eddy simulation and laboratory turbulent flow experiments . Phil. Trans. R. Soc. A , 367 ( 1899 ) : 2931 – 2945 .
   Web of Science ®Google Scholar
• Benjamin , R. F. 2004 . An experimenter's perspective on validating codes and models with experiments having shock-accelerated fluid interfaces . Comput. Sci. Eng. , 6 : 40 – 49 .
   Web of Science ®Google Scholar
• Balakumar , B. J. , Orlicz , G. , Tomkins , C. and Prestridge , K. 2008 . Simultaneous particle-image veloci- metry–planar laser-induced fluorescence measurements of Richtmyer–Meshkov instability growth in a GC with and without reshock . Phys. Fluids , 20 : 124103
   Web of Science ®Google Scholar
• Orlicz , G. C. , Balakumar , B. J. , Tomkins , C. D. and Prestridge , K. P. 2009 . A Mach number study of the Richtmyer–Meshkov instability in a varicose, heavy-GC . Phys. Fluids , 21 : 064102
   Web of Science ®Google Scholar
• Grinstein , F. F. , Margolin , L. G. and Rider , W. J. 2010 . Implicit Large Eddy Simulation: Computing Turbulent Flow Dynamics , New York : Cambridge University Press . 2nd printing
   Google Scholar
• Sagaut , P. 2006 . Large Eddy Simulation for Incompressible Flows , 3rd ed. Springer , New York
   Google Scholar
• Ghosal , S. 1996 . An analysis of numerical errors in large-eddy simulations of turbulence . J. Comput. Phys , 125 : 187 – 206 .
   Web of Science ®Google Scholar
• Gittings , M. , Weaver , R. , Clover , M. , Betlach , T. , Byrne , N. , Coker , R. , Dendy , E. , Hueckstaedt , R. , New , K. , Oakes , W. R. , Ranta , D. and Stefan , R. 2008 . The RAGE radiation-hydrodynamic code . Comput. Sci. Disc. , 1 : 015005
   Google Scholar
• Baltrusaitis , R. M. , Gittings , M. L. , Weaver , R. P. , Benjamin , R. F. and Budzinski , J. M. 1996 . Simulation of shock-generated instabilities . Phys. Fluids , 8 : 2471 – 2483 .
   Web of Science ®Google Scholar
• Holmes , R. L. , Dimonte , G. , Fryxell , B. , Gittings , M. L. , Grove , J. W. , Schneider , M. , Sharp , D. H. , Velikovich , A. L. , Weaver , R. P. and Zhang , Q. 1999 . Richtmyer–Meshkov instability growth: Experiment, simulation and theory . J. Fluid Mech. , 389 : 55 – 79 .
   Web of Science ®Google Scholar
• Grinstein , F. F. , Gowardhan , A. A. and Wachtor , A. J. 2011 . Simulations of Richtmyer–Meshkov instabilities in planar shock-tube experiments . Phys. Fluids , 23 : 034106
   Web of Science ®Google Scholar
• Gowardhan , A. A. , Ristorcelli , J. R. and Grinstein , F. F. 2011 . The bipolar behaviour of the Richtmyer-Meshkov instability . Phys. Fluids , 23 : 071701 (letters)
   Web of Science ®Google Scholar
• George , W. K. 2006 . Recent advancements toward the understanding of turbulent boundary layers . AIAA J. , 44 ( 11 ) : 2435 – 2449 .
   Google Scholar
• Dimonte , G. 1999 . Nonlinear evolution of the Rayleigh–Taylor and Richtmyer–Meshkov instabilities . Phys. Plasma , 6 : 2009 – 2015 .
   Web of Science ®Google Scholar
• Drikakis , D. , Grinstein , F. F. and Youngs , D. 2005 . On the computation of instabilities and symmetry-breaking in fluid mechanics . Prog. Aerosp. Sci. , 41 ( 8 ) : 609 – 641 .
   Web of Science ®Google Scholar
• Schilling , O. and Latini , M. 2010 . High-order WENO simulations of three-dimensional reshocked Richtmyer–Meshkov instability to late times: Dynamics, dependence on initial conditions, and comparisons to experimental data . Acta Math. Sci. , 30B ( 2 ) : 595 – 620 .
   Google Scholar
• Balasubramanian , S. , Prestridge , K. P. , Orlicz , G. C. and Balakumar , B. J. in press . Experimental study of initial condition dependence on mixing in Richtmyer-Meshkov instabilities Moscow , , Russia Proceedings of the 12th International Workshop on the Physics of Compressible Turbulent Mixing. July 12–17, 2010
   Google Scholar
• Shankar , S. K. , Kawai , S. and Lele , S. K. 2011 . Two-dimensional viscous flow simulation of a shock accelerated heavy gas cylinder . Phys. Fluids , 23 : 024102
   Web of Science ®Google Scholar
• Weirs , V. G. , Dupont , T. and Plewa , T. 2008 . Three-dimensional effects in shock-cylinder interactions . Phys. Fluids , 20 : 044102
   Web of Science ®Google Scholar
• Mikaelian , K. O. 1996 . Numerical simulations of Richtmyer–Meshkov instabilities in finite-thickness fluids layers . Phys. Fluids , 8 : 1269
   Web of Science ®Google Scholar
• Jacobs , J. W. and Sheeley , J. M. 1996 . Experimental study of incompressible Richtmyer–Meshkov instability . Phys. Fluids , 8 : 405 – 415 .
   Web of Science ®Google Scholar
• Kim , J. and Moin , P. 1985 . Application of a fractional-step method to incompressible Navier–Stokes equations . J. Comput. Phys. , 59 : 308 – 323 .
   Web of Science ®Google Scholar
• Balasubramanian , S. , Orlicz , G. C. , Prestridge , K. P. and Balakumar , B. J. Influence of initial conditions on turbulent mixing in shock driven Richtmyer-Meshkov flows Honolulu , , Hawaii AIAA 2011–3710, Proc. 41st AIAA Fluid Dynamics Conference, 27–30 June 2011
   Google Scholar
• Tennekes , H. and Lumley , J. L. 1972 . A First Course in Turbulence , Cambridge , MA : MIT Press .
   Google Scholar
• Zhou , Y. 2007 . Unification and extension of the similarity scaling criteria and mixing transition for studying astrophysics using high energy density laboratory experiments or numerical simulationsî . Phys. Plasmas , 14 : 082701
   Web of Science ®Google Scholar
• Richtmyer , R. D. 1960 . Taylor instability in shock acceleration of compressible fluids . Commun. Pure Appl. Maths. , 13 : 297 – 319 .
   Web of Science ®Google Scholar
• Gowardhan , A. A. , Grinstein , F. F. and Ristorcelli , J. R. 27–30 June 2011 . Planar Richtmyer–Meshkov instabilities and transition to turbulence Honolulu , , Hawaii Proceedings of 6th AIAA Theoretical Fluid Mechanics Conference, AIAA 2011–3039
   Google Scholar