Simulations and model of the nonlinear richtmyer-meshkov instability

Physics of Fluids

Volumn 22, Issue 1, 2010, Pages 1-17

  Dimonte, Guy ^a   Ramaprabhu, P ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC PROPERTIES; NONLINEAR SYSTEMS; POTENTIAL FLOW;

EMPIRICAL MODEL; HIGHER HARMONICS; NON-LINEAR MODEL; NON-LINEAR REGIMES; NONLINEAR EVOLUTIONS; RICHTMYER MESHKOV INSTABILITY; RIGOROUS SOLUTION; SIMULATIONS AND MODELING;

INERTIAL CONFINEMENT FUSION;

EID: 77951114984     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.862466     Document Type: Article

References (48)

1. Richtmyer R.D. Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Math. 1960, 13:297. CPMAMV, 0010-3640, 10.1002/cpa.3160130207
2. Meshkov E.E. Instability of the interface of two gases accelerated by a shock. Fluid Dyn. 1969, 4:101. FLDYAH, 0015-4628, 10.1007/BF01015969
3. Atzeni S. Meyer-Ter-Vehn J. The Physics of Inertial Fusion 2004, 10.1093/acprof:oso/9780198562641.001.0001, and, (Clarendon, Oxford)
4. Betti R. Zhou C.D. Anderson K.S. Perkins L.J. Theobald W. Soldov A.A. Shock ignition of thermonuclear fuel with high areal density. Phys. Rev. Lett. 2007, 98:155001. PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.155001
5. Velikovich A.L. Schmitt A.J. Gardner J.H. Metzler N. Feedout and Richtmyer-Meshkov instability at large density difference. Phys. Plasmas 2001, 8:592. PHPAEN, 1070-664X, 10.1063/1.1335829
6. Vogan W.S. Anderson W.W. Grover M. Hammerberg J.E. King N.S. P. Lamoreaux S.K. Macrum G. Morley K.B. Rigg P.A. Stevens G.D. Turley W.D. Veeser L.R. Buttler W.T. Piezoelectric characterization of ejecta from shocked tin surfaces. J. Appl. Phys. 2005, 98:113508. JAPIAU, 0021-8979, 10.1063/1.2132521
7. Zellner M.B. Grover M. Hammerberg J.E. Hixson R.S. Obst A.W. Olson R.T. Payton J.R. Rigg P. Routley N. Stevens G. Turley D. Vogan-McNeil W. Buttler W.T. Probing the underlying physics of ejecta production. J. Appl. Phys. 2008, 103:123502. JAPIAU, 0021-8979, 10.1063/1.2939253
8. Dimonte G. Tipton R. K-L turbulence model for the self-similar growth of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Phys. Fluids 2006, 18:085101. PHFLE6, 1070-6631, 10.1063/1.2219768
9. Dimonte G. Schneider M. Density ratio dependence of Rayleigh-Taylor mixing for sustained and impulsive acceleration histories. Phys. Fluids 2000, 12:304. PHFLE6, 1070-6631, 10.1063/1.870309
10. Alon U. Hecht J. Ofer D. Shvarts D. Power laws and similarity of Rayleigh-Taylor and Richtmyer-Meshkov mixing fronts at all density ratios. Phys. Rev. Lett. 1995, 74:534. PRLTAO, 0031-9007, 10.1103/PhysRevLett.74.534
11. Oron D. Arazi L. Kartoon D. Rikanati A. Alon U. Shvarts D. Dimensionality dependence of the Rayleigh-Taylor and Richtmyer-Meshkov instability late-time scaling laws. Phys. Plasmas 2001, 8:2883. PHPAEN, 1070-664X, 10.1063/1.1362529
12. Yang Y. Zhang Q. Sharp D.H. Small amplitude theory of Richtmyer-Meshkov instability. Phys. Fluids 1994, 6:1856. PHFLE6, 1070-6631, 10.1063/1.868245
13. Meyer K.M. Blewett P.J. Numerical investigation of the stability of a shock-accelerated interface between two fluids. Phys. Fluids 1972, 15:753. PHFLE6, 1070-6631, 10.1063/1.1693980
14. Vandenboomgaerde M. Mugler C. Gauthier S. Impulsive model for the Richtmyer-Meshkov instability. Phys. Rev. E 1998, 58:1874. PLEEE8, 1063-651X, 10.1103/PhysRevE.58.1874
15. Mikaelian K.O. Freeze-out and the effect of compressibility in the Richtmyer-Meshkov instability. Phys. Fluids 1994, 6:356. PHFLE6, 1070-6631, 10.1063/1.868091
16. Fraley G. Rayleigh-Taylor stability for a normal shock-density discontinuity interaction. Phys. Fluids 1986, 29:376. PHFLE6, 1070-6631, 10.1063/1.865722
17. Wouchuk J.G. Nishihara K. Asymptotic growth in the linear Richtmyer-Meshkov instability. Phys. Plasmas 1997, 4:1028. PHPAEN, 1070-664X, 10.1063/1.872191
18. Wouchuk J.G. Growth rate of the Richtmyer-Meshkov instability when a shock is reflected. Phys. Rev. E 2001, 63:056303. PLEEE8, 1063-651X, 10.1103/PhysRevE.63.056303
19. Wouchuk J.G. Growth rate of the Richtmyer-Meshkov instability when a rarefaction is reflected. Phys. Plasmas 2001, 8:2890. PHPAEN, 1070-664X, 10.1063/1.1369119
20. Aleshin A.N. Lazareva E.V. Zaitsev S.G. Rozanov V.B. Gamali E.G. Lebo I.G. Linear, nonlinear and transient stages in the development of the Richtmyer-Meshkov instability. Sov. Phys. Dokl. 1990, 35:159. SPHDA9, 0038-5689
21. Aleshin A.N. Lazareva E.V. Chebotareva E.I. Sergeev S.V. Zaytsev S.G. Investigation of Richtmyer-Meshkov instability induced by the incident and reflected shock waves. Proceedings of the Sixth International Workshop on the Physics of Compressible Turbulent Mixing 1997, 1. G. Jourdan, L. Houas, in, Marseille, France, edited by and (IUSTI Universite de Provence, Marseille, France)
22. Dimonte G. Remington B. Richtmyer-Meshkov experiments on the NOVA laser at high compression. Phys. Rev. Lett. 1993, 70:1806. PRLTAO, 0031-9007, 10.1103/PhysRevLett.70.1806
23. Dimonte G. Frerking C.E. Schneider M. Remington B. Richtmyer-Meshkov instability with strong radiatively driven shocks. Phys. Plasmas 1996, 3:614. PHPAEN, 1070-664X, 10.1063/1.871889
24. Dhotre A. Ramaprabhu P. Dimonte G. A detailed numerical investigation of the single-mode Richtmyer-Meshkov instability. Bull. Am. Phys. Soc. 2009, 53:157. BAPSA6, 0003-0503
25. Zhang Q. Sohn S.I. An analytical nonlinear theory of Richtmyer-Meshkov instability. Phys. Lett. A 1996, 212:149. PYLAAG, 0375-9601, 10.1016/0375-9601(96)00021-7
26. Zhang Q. Sohn S.I. Nonlinear theory of unstable fluid mixing driven by shock wave. Phys. Fluids 1997, 9:1106. PHFLE6, 1070-6631, 10.1063/1.869202
27. Holmes R.L. Dimonte G. Fryxell B. Gittings M.J. Grove J.W. Schneider M. Sharp D. Velikovich A.L. Weaver R.P. Zhang Q. Richtmyer-Meshkov instability growth: Experiment, simulation and theory. J. Fluid Mech. 1999, 389:55. JFLSA7, 0022-1120, 10.1017/S0022112099004838
28. Layzer D. On the instability of superposed fluids in a gravitational field. Astrophys. J. 1955, 122:1. ASJOAB, 0004-637X, 10.1086/146048
29. Velikovich A.L. Dimonte G. Nonlinear perturbation theory of the incompressible Richtmyer-Meshkov instability. Phys. Rev. Lett. 1996, 76:3112. PRLTAO, 0031-9007, 10.1103/PhysRevLett.76.3112
30. Sadot O. Erez L. Alon U. Oron D. Levin L.A. Erez G. Ben-Dor G. Shvarts D. Study of nonlinear evolution of single-mode and two-bubble interaction under Richtmyer-Meshkov instability. Phys. Rev. Lett. 1998, 80:1654. PRLTAO, 0031-9007, 10.1103/PhysRevLett.80.1654
31. Vandenboomgaerde M. Gauthier S. Mugler C. Nonlinear regime of a multimode Richtmyer-Meshkov instability: A simplified perturbation theory. Phys. Fluids 2002, 14:1111. PHFLE6, 1070-6631, 10.1063/1.1447914
32. Matsuoka C. Nishihara K. Fukuda Y. Matsuoka C. Nishihara K. Fukuda Y. erratum. Phys. Rev. E 2003, 68:029902. PLEEE8, 1063-651X, 10.1103/PhysRevE.67.036301, PLEEE8, 1063-651X, 10.1103/PhysRevE.68.029902, ,
33. Likhachev O.A. Jacobs J.W. A vortex model for Richtmyer-Meshkov instability accounting for finite Atwood number. Phys. Fluids 2005, 17:031704. PHFLE6, 1070-6631, 10.1063/1.1863276
34. Zhang Q. Analytic solutions of Layzer-type approach to unstable interfacial fluid mixing. Phys. Rev. Lett. 1998, 81:3391. PRLTAO, 0031-9007, 10.1103/PhysRevLett.81.3391
35. Goncharov V.N. Analytical model of nonlinear, single-mode, classical Rayleigh-Taylor instability at arbitrary Atwood numbers. Phys. Rev. Lett. 2002, 88:134502. PRLTAO, 0031-9007, 10.1103/PhysRevLett.88.134502
36. Mikaelian K.O. Explicit expressions for the evolution of single-mode Rayleigh-Taylor and Richtmyer-Meshkov instabilities at arbitrary Atwood number. Phys. Rev. E 2003, 67:026319. PLEEE8, 1063-651X, 10.1103/PhysRevE.67.026319
37. Sohn S.-I. Simple potential-flow model of Rayleigh-Taylor and Richtmyer-Meshkov instabilities for all density ratios. Phys. Rev. E 2003, 67:026301. PLEEE8, 1063-651X, 10.1103/PhysRevE.67.026301
38. Sohn S.-I. Density dependence of a Zufiria model for Rayleigh-Taylor bubble fronts. Phys. Rev. E 2004, 70:045301. PLEEE8, 1063-651X, 10.1103/PhysRevE.70.045301 (R)
39. Mikaelian K.O. Analytic approach to nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Phys. Rev. Lett. 1998, 80:508. PRLTAO, 0031-9007, 10.1103/PhysRevLett.80.508
40. Mikaelian K.O. Limitations and failures of the Layzer model for hydrodynamic instabilities. Phys. Rev. E 2008, 78:015303. PLEEE8, 1063-651X, 10.1103/PhysRevE.78.015303 (R)
41. Rikanati A. Oron D. Sadot O. Shvarts D. High initial amplitude and high Mach number effects on the evolution of the single-mode Richtmyer-Meshkov instability. Phys. Rev. E 2003, 67:026307. PLEEE8, 1063-651X, 10.1103/PhysRevE.67.026307
42. Glendinning S.G. Bolstad J. Braun D.G. Edwards M.J. Hsing W.W. Lasinski B.F. Louis H. Moreno J. Peyser T.A. Remington B.A. Robey H.F. Turano E.J. Verdon C.P. Zhou Y. Effect of shock proximity in Richtmyer-Meshkov growth. Phys. Plasmas 2003, 10:1931. PHPAEN, 1070-664X, 10.1063/1.1562165,
43. Jacobs J.W. Krivets V.V. Experiments on the late-time development of single-mode Richtmyer-Meshkov instability. Phys. Fluids 2005, 17:034105. PHFLE6, 1070-6631, 10.1063/1.1852574
44. Mariani C. Vandenboomgaerde M. Jourdan G. Souffland D. Houas L. Investigation of the Richtmyer-Meshkov instability with stereolithographed interfaces. Phys. Rev. Lett. 2008, 100:254503. PRLTAO, 0031-9007, 10.1103/PhysRevLett.100.254503
45. Niederhaus C.E. Jacobs J.W. Experimental study of the Richtmyer-Meshkov instability of incompressible fluids. J. Fluid Mech. 2003, 485:243. JFLSA7, 0022-1120, 10.1017/S002211200300452X
46. Latini M. Schilling O. Don W.S. High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability: Comparison to experimental data and to amplitude growth model predictions. Phys. Fluids 2007, 19:024104. PHFLE6, 1070-6631, 10.1063/1.2472508
47. Calder A. Dursi J. Fryxell B. Plewa T. Weirs G. Dupont T. Robey H. Knae J. Remington B. Timmes F. Dimonte G. Hayes J. Zingale M. Drake P. Ricker P. Stone J. Olson K. Validating astrophysical simulation codes. Comput. Sci. Eng. 2004, 6:22. CSENFA, 1521-9615, 10.1109/MCSE.2004.44
48. Sadot O. 2009, private communication .