Application of a Two-Scale Turbulence Transport Model to Mixing by Rayleigh-Taylor and Richtmyer-Meshkov Instabilities*

Details Application of a Two-Scale Turbulence Transport Model to Mixing by Rayleigh-Taylor and Richtmyer-Meshkov Instabilities* Application of a Two-Scale Turbulence Transport Model to Mixing by Rayleigh-Taylor and Richtmyer-Meshkov Instabilities*

Nov 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..dfd.ad005e&link_type=abstract

American Physical Society, Division of Fluid Dymanics 55th Annual Meeting, abstract #AD.005

Physics

Scientific paper

Turbulent mixing of the fluids in a multi-component system is of interest in situations such as inertial confinement fusion (ICF) and core-collapse supernovae [1]. We report results of a project to include a model of turbulent mixing in a multi-component hydrodynamics and physics model called KULL, which is used for ICF. Because KULL is a complex, multi-dimensional model, we have developed a simplified, one-dimensional version called sKULL to speed-up the development of the turbulent mixing model. Of primary interest in the development of a turbulent mixing model for a multi-component fluid is the question of whether it is necessary to allow each component of the fluid to retain its own velocity. Generally a multi-component, multi-velocity turbulent mixing model should allow separate velocities for each component of the fluid[2]. However, the necessity to carry separate velocities for each component of the fluid greatly increases the memory requirements and complexity of the computer implementation. In contrast, we present a new two-scale formulation of the K-epsilon turbulent mixing model, with production terms based on a recent scaling analysis, which treats all components of the fluid as if they had the same velocity. We also show that our new method for the initial conditions of the uncoupled two-scale K-epsilon model yields asymptotic growth, and that the growth of the inferred turbulence length scale is consistent with measured mix width growth from Rayleigh-Taylor experiments. Further comparisons will be made of results from the turbulent mixing model with Rayleigh-Taylor and Richtmyer-Meshkov experiments. *This study was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under contract W-7405-ENG-48. [1] Remington, B. A., D. Arnett, R. P. Drake, and H. Takabe, Modeling astrophysical phenomena in the laboratory with intense lasers, Science, 284, 1488 (1999). [2] Youngs, D. L., Numerical simulation of mixing by Rayleigh-Taylor and Richtmyer-Meshkov instabilities, Laser & Particle Beams 12, 725 (1994).

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