Effect of Initial Conditions on Compressible Rayleigh-Taylor Instability and Transition to Turbulence

Physics – Plasma Physics

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Scientific paper

The influence of the state of an initial interface over the subsequent evolutionary phases of the compressible Rayleigh-Taylor (RT) instability through the deep non-linear regime, transition to turbulence, and eventual asymptotic growth, remains a hotly debated topic. Apart from academic curiosity, there is a keen interest in this because RT instability in a form probably near transition can seriously diminish or even quench thermonuclear burn in double-shell ignition capsules being designed for the National Ignition Facility (NIF) (Amendt et al., Phys. Plas. 9(5),2221,(2002)). In addition to this, experimental test beds are being developed on high power laser facilities with a view to studying compressible turbulent mixing of relevance to the dynamics of supernovae explosions (Robey et al., Phys. Plasmas 10, 614 (2003)). In these experiments a high Mach number blast wave accelerates an interface with a specified, pre-machined initial spectrum, driving a brief phase of Richtmyer-Meshkov growth, followed by a sustained period of RT growth as the interface decelerates, much as in a supernova. While current facilities are barely powerful enough to edge the flow through a turbulent transition, the next generation of lasers such as the NIF will force the instability well beyond this making supernova relevant, turbulent experiments in the laboratory a real possibility. However, understanding the effects, if any, of the initial interface structure on the late time mixing in these small scale flows will clearly be an important aspect of this work. This talk will discuss the effect of initial interface conditions on the progress and structure of late time RT instability using results from the multi-physics, AMR, higher order Godunov Eulerian hydrocode, Raptor. Comparison with Omega experiments will be made and prospects for the NIF presented.

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