Large-eddy simulation and multiscale modelling of a Richtmyer-Meshkov instability with reshock

Journal of Fluid Mechanics

Volumn 557, Issue , 2006, Pages 29-61

  Hill, D J ^a   Pantano, C ^a   Pullin, D I ^a  

^a California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; STATISTICS; TURBULENT FLOW;

LARGE-EDDY SIMULATION; RESHOCK; RICHTMYER-MESHKOV INSTABILITY; SCHMIDT NUMBER; TURBULENT MIXING ZONE;

SHOCK WAVES;

ANISOTROPY; COMPUTER SIMULATION; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; SHOCK WAVES; STATISTICS; TURBULENT FLOW;

LARGE EDDY SIMULATION; LIGHT; MODELING; SULFUR COMPOUND; VORTEX FLOW;

EID: 33746149301     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006009475     Document Type: Article

References (47)

1. Bilger, R. W. 1977 Comment on 'Structure of turbulent shear flows: A new look'. AIAA J. 15, 1056.
2. Blaisdell, G. A. 1991 Numerical simulation of compressible homogeneous turbulence. PhD thesis, Stanford University.
3. Brouillette, M. 2002 The Richtmyer-Meshkov instability. Annu. Rev. Fluid Mech. 34, 445-468.
4. Cohen, R. H., Dannevik, W. P., Dimits, A. M., Eliason, D. E., Mirin, A. A., Zhou, Y., Porter, D. H. & Woodward, P. R. 2002 Three-dimensional simulation of a Richtmyer-Meshkov instability with a two-scale initial perturbation. Phys. Fluids 14, 3692-3709.
5. Colucci, P. J., Jaberi, F. A., Givi, P. & Pope, S. B. 1998 Filtered density function for large eddy simulation of turbulent reacting flows. Phys. Fluids 10, 499.
6. Cook, A. W. & Riley, J. J. 1994 A subgrid model for equilibrium chemistry in turbulent flows. Phys. Fluids 6, 2868.
7. Dimotakis, P. E. 1989 Turbulent shear layer mixing with fast chemical reactions. In Turbulent Reactive Flows. Lecture Notes in Engineering, vol. 40, pp. 417-485. Springer.
8. Ducros, F., Laporte, F., Souleres, T., Guinot, V., Moinat, P. & Caruelle, B. 2000 High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: Application to compressible flows. J. Comput. Phys. 161, 114-139.
9. Effelsberg, E. & Peters, N. 1983 A composite model for the conserved scalar p.d.f. Combust. Flame 50, 351.
10. Gao, F. & O'Brien, E. E. 1993 A large-eddy simulation scheme for turbulent reacting flows. Phys. Fluids A 5, 1282.
11. Ghosal, S. 1996 An analysis of numerical errors in large-eddy simulations of turbulence. J. Comput. Phys. 125, 187-206.
12. Ghosal, S. 1999 Mathematical and physical constraints on large-eddy simulation of turbulence. AIAA J. 37, 425-433.
13. Gottlieb, S., Shu, C. W. & Tadmor, E. 2001 Strong stability-preserving high-order time discretization methods. SIAM Rev. 43, 89-112.
14. Greenough, J. A. & Burke, E. 2004 The effect of initial conditions on late time asymptotics and mixing for multimode Richtmyer-Meshov instability. In 9th Intl Workshop on the Physics of Compressible Turbulent Mixing, 19-23 July, Cambridge, UK.
15. Hill, D. J. & Pullin, D. I. 2004 Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks. J. Comput. Phys. 194, 435-450.
16. Honein, A. E. & Moin, P. 2004 Higher entropy conservation and numerical stability of compressible turbulence simulations. J. Comput. Phys. 201, 531-545.
17. Jiang, G. S. & Shu, C. W. 1996 Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126, 202-228.
18. Jiménez, J., Liñán, A. L., Rogers, M. M. & Higuera, F. J. 1997 A priori testing of subgrid models for chemically reacting non-premixed turbulent shear flows. J. Fluid Mech. 349, 149-171.
19. Kosovic, B., Pullin, D. I. & Samtaney, R. 2002 Subgrid-scale modeling for large-eddy simulations of compressible turbulence. Phys. Fluids 14, 1511-1522.
20. Lesieur, M. & Metais, O. 1996 New trends in large-eddy simulations of turbulence. Annu. Rev. Fluid Mech. 28, 45-82.
21. Lindl, J. D., McCrory, R. L. & Campbell, E. M. 1992 Progress toward ignition and burn propagation in inertial confinement fusion. Phys. Today 45, 32-40.
22. Lundgren, T. S. 1982 Strained spiral vortex model for turbulent fine-structure. Phys. Fluids 25, 2193-2203.
23. Maran, S. P., Sonneborn, G., Pun, C. S. J., Lundquist, P., Iping, R. C. & Gull, T. R. 2000 Physical conditions in circumstellar gas surrounding SN 1987A 12 years after outburst. Astrophys. J. 545, 390-398.
24. Mattner, T. W., Pullin, D. I. & Dimotakis, P. E. 2004 Large eddy simulations of miscible Rayleigh-Taylor instability. In 9th Intl Workshop on the Physics of Compressible Turbulent Mixing, 19-23 July, Cambridge, UK.
25. Mellado, J. P., Sarkar, S. & Pantano, C. 2003 Reconstruction subgrid models for nonpremixed combustion. Phys. Fluids 15, 3280-3307.
26. Meskov, E. E. 1969 Instability of the interface of two gases accelerated by a shock wave. Sov. Fluid Dyn. 4, 101-108.
27. Mikaelian, K. O. 1989 Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Physica D 36, 343-357.
28. Misra, A. & Pullin, D. I. 1997 A vortex-based subgrid stress model for large-eddy simulation. Phys. Fluids 9, 2443-2454.
29. Pantano, C., Deiterding, R., Hill, D. J. & Pullin, D. I. 2005 A low-numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows. J. Comput. Phys. (under review).
30. Pope, S. B. 2004 Ten questions concerning the large-eddy simulation of turbulent flows. N. J. Phys. 6, art. 35.
31. Prasad, J. K., Rasheed, A., Kumar, S. & Sturtevant, B. 2000 The late-time development of the Richtmyer-Meshkov instability. Phys. Fluids 12, 2108-2115.
32. Pullin, D. I. 2000 A vortex-based model for the subgrid flux of a passive scalar. Phys. Fluids 12, 2311-2319.
33. Pullin, D. I. & Lundgren, T. S. 2001 Axial motion and scalar transport in stretched spiral vortices. Phys. Fluids 13, 2553-2563.
34. Pullin, D. I. & Saffman, P. G. 1993 On the Lundgren-Townsend model of turbulent fine scales. Phys. Fluids A 5, 126-145.
35. Pullin, D. I. & Saffman, P. G. 1994 Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence. Phys. Fluids 6, 1787-1796.
36. Reid, R. C., Pransuitz, J. M. & Poling, B. E. 1987 The Properties of Gases and Liquids. McGraw-Hill.
37. Richtmyer, R. D. 1960 Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Maths 13, 297-319.
38. Saddoughi, S. G. & Veeravalli, S. V. 1994 Local isotropy in turbulent boundary-layers at high Reynolds numbers. J. Fluid Mech. 268, 333-372.
39. Smarr, L., Wilson, J. R., Barton, R. T. & Bowers, R. L. 1981 Rayleigh-Taylor overturn in super-nova core collapse. Astrophys. J. 246, 515-525.
40. Sonneborn, G., Pun, C. S. J., Garnavich, P. & Kirshner, R. 1999 Birth of supernova remnant 1987a. IAU Symp. pp. 136-138.
41. Tennekes, H. & Lumley, J. L. 1974 A First Course in Turbulence. MIT Press, Cambridge, MA.
42. Thompson, K. W. 1987 Time dependent boundary conditions for hyperbolic systems. J. Comput. Phys. 68, 1-24.
43. 6 interface. Shock Waves 4, 247-252.
44. Voelkl, T., Pullin, D. I. & Chan, D. C. 2000 A physical-space version of the stretched-vortex subgrid-stress model for large-eddy simulation. Phys. Fluids 12, 1810-1825.
45. Yang, J., Kubota, T. & Zukoski, E. E. 1993 Applications of shock-induced mixing to supersonic combustion. AIAA J. 31, 854-862.
46. Zabusky, N. J. 1999 Vortex paradigm for accelerated inhomogeneous flows: Visiometrics for the Rayleigh-Taylor and Richtmyer-Meshkov environments. Annu. Rev. Fluid Mech. 31, 495-536.
47. Zang, T. A., Dahlburg, R. B. & Dahlburg, J. P. 1992 Direct and large-eddy simulations of 3-dimensional compressible Navier-Stokes turbulence. Phys. Fluids A-Fluid Dyn. 4, 127-140.