Numerical simulatin of supernova-relevant laser-driven hydro experiments on OMEGA

In ongoing experiments performed on the OMEGA laser [J. M. Soures et al., Phys. Plasmas 5, 2108 (1996)] at the University of Rochester Laboratory for Laser Energetics (LLE), nanosecond laser pulses are used to drive strong blast waves into two-layer targets. Perturbations on the interface between the two materials are unstable to the Richtmyer-Meshkov instability as a result of shock transit and the Rayleigh-Taylor instability during the deceleration-phase behind the shock front. These experiments are designed to produce a strongly shocked interface whose evolution is a scaled version of the unstable hydrogen-helium interface in core-collapse supernovae such as SN 1987A. The ultimate goal of this research is to develop an understanding of the effect of hydrodynamic instabilities and the resulting transition to turbulence on supernovae observables that remain as yet unexplained. The authors are, at present, particularly interested in the development of the Rayleigh-Taylor instability through the late nonlinear stage, the transition to turbulence, and the subsequent transport of material within the turbulent region. In this paper, the results of numerical simulations of 2D single and multimode experiments are presented. These simulations are run using the 2D Arbitrary Lagrangian Eulerian (ALE) radiation hydrodynamics code CALE [R. T. Barton, Numerical Astrophysicsmore » (Jones and Bartlett, Boston, 1985)]. The simulation results are shown to compare well with experimental radiography. A buoyancy-drag model captures the behavior of the single-mode interface, but gives only partial agreement in the multi-mode cases. The Richtmyer-Meshkov and target decompression contributions to the perturbation growth are both estimated and shown to be significant. Significant dependence of the simulation results on the material equation of state (EOS) is demonstrated, and the prospect of continuing the experiments to conclusively demonstrate the transition to turbulence is discussed.« less

[1]  U. Alon,et al.  Potential flow models of Rayleigh–Taylor and Richtmyer–Meshkov bubble fronts , 1994 .

[2]  S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability , 1961 .

[3]  P. Dimotakis The mixing transition in turbulent flows , 2000, Journal of Fluid Mechanics.

[4]  G. Zimmerman,et al.  A new quotidian equation of state (QEOS) for hot dense matter , 1988 .

[5]  H. Kull Theory of the Rayleigh-Taylor instability , 1991 .

[6]  Hecht,et al.  Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios. , 1995, Physical review letters.

[7]  S. P. Gill,et al.  Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena , 2002 .

[8]  R. P. Drake,et al.  The time scale for the transition to turbulence in a high Reynolds number, accelerated flow , 2003 .

[9]  Supernova-relevant Hydrodynamic Instability Experiments on the Nova Laser , 1997 .

[10]  Stephen D. Jacobs,et al.  Direct‐drive laser‐fusion experiments with the OMEGA, 60‐beam, >40 kJ, ultraviolet laser system , 1996 .

[11]  R. D. Richtmyer Taylor instability in shock acceleration of compressible fluids , 1960 .

[12]  R. P. Drake,et al.  Development of a Laboratory Environment to Test Modelsof Supernova Remnant Formation , 1998 .

[13]  R. London,et al.  Supernova hydrodynamics experiments on the Nova laser , 1997 .

[14]  J. Lindl,et al.  Inertial Confinement Fusion: The Quest for Ignition and Energy Gain Using Indirect Drive , 1998 .

[15]  G. Taylor The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  R. Chevalier The hydrodynamics of type II supernovae. , 1976 .

[17]  B. Fryxell,et al.  Instabilities and nonradial motion in SN 1987A , 1989 .

[18]  G. Dimonte Spanwise homogeneous buoyancy-drag model for Rayleigh–Taylor mixing and experimental evaluation , 2000 .

[19]  P. A. Rosen,et al.  Radiation driven planar foil instability and mix experiments at the AWE HELEN laser , 1990 .

[20]  Uri Alon,et al.  Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws , 2001 .

[21]  K. Meyer,et al.  Numerical Investigation of the Stability of a Shock‐Accelerated Interface between Two Fluids , 1972 .

[22]  Hideaki Takabe,et al.  A review of astrophysics experiments on intense lasers , 2000 .

[23]  R. P. Drake,et al.  Similarity Criteria for the Laboratory Simulation of Supernova Hydrodynamics , 1999 .

[24]  Steven W. Haan,et al.  Modeling of Nova indirect drive Rayleigh–Taylor experiments , 1994 .

[25]  S. Skupsky,et al.  Modeling hydrodynamic instabilities in inertial confinement fusion targets , 2000 .

[26]  W. Hillebrandt,et al.  The supernova 1987A in the Large Magellanic Cloud , 1989 .

[27]  Dave Braun,et al.  Effect of shock proximity on Richtmyer–Meshkov growth , 2003 .