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Acceleration- and deceleration-phase nonlinear Rayleigh-Taylor growth at spherical interfaces
1Lawrence Livermore National Laboratory, University of California, Livermore, California 94550, USA. clark90@llnl.gov
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
Summary
The Layzer model now describes bubble and spike growth in spherical implosions, crucial for fusion energy and astrophysics. Predictions align with simulations, advancing understanding of Rayleigh-Taylor instability.
Area of Science:
- Physics
- Fluid Dynamics
- Plasma Physics
Background:
- The Rayleigh-Taylor instability occurs at fluid interfaces under acceleration.
- The Layzer model describes nonlinear bubble evolution in planar systems.
- Spherical implosions are relevant to inertial confinement fusion and astrophysics.
Purpose of the Study:
- Generalize the Layzer model to spherically imploding interfaces.
- Extend the model to include bubble growth during deceleration and spike growth during acceleration/deceleration.
- Investigate nonlinear growth rates in spherical geometries.
Main Methods:
- Extension of the Layzer model for spherical symmetry.
- Comparison with 2D and 3D numerical hydrodynamics simulations.
- Analysis of nonlinear growth rates for bubbles and spikes.
Main Results:
- The Layzer model was successfully generalized for spherical implosions.
- Nonlinear growth rates for bubbles and spikes differ from planar results.
- Model predictions show good agreement with simulation data.
Conclusions:
- The extended Layzer model accurately captures bubble and spike dynamics in spherical implosions.
- This work provides a valuable tool for studying Rayleigh-Taylor instability in relevant physical scenarios.
- Findings contribute to understanding complex fluid phenomena in fusion and astrophysical contexts.