Acceleration- and deceleration-phase nonlinear Rayleigh-Taylor growth at spherical interfaces

Journal Article · Tue Nov 01 04:00:00 EST 2005 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.72.056308· OSTI ID:20709844

Clark, Daniel S; Tabak, Max ^[1]

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1. Lawrence Livermore National Laboratory, University of California, Livermore, California 94550 (United States)

The Layzer model for the nonlinear evolution of bubbles in the Rayleigh-Taylor instability has recently been generalized to the case of spherically imploding interfaces [D. S. Clark and M. Tabak, Phys. Rev. E 71, 055302(R) (2005)]. The spherical case is more relevant to, e.g., inertial confinement fusion or various astrophysical phenomena when the convergence is strong or the perturbation wavelength is comparable to the interface curvature. Here, the model is further extended to the case of bubble growth during the deceleration (stagnation) phase of a spherical implosion and to the growth of spikes during both the acceleration and deceleration phases. Differences in the nonlinear growth rates for both bubbles and spikes are found when compared with planar results. The model predictions are verified by comparison with numerical hydrodynamics simulations.

• OSTI ID: 20709844
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 72; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCELERATION
BUBBLE GROWTH
BUBBLES
COMPARATIVE EVALUATIONS
CONVERGENCE
DISTURBANCES
FORECASTING
HYDRODYNAMICS
IMPLOSIONS
INERTIAL CONFINEMENT
INTERFACES
NONLINEAR PROBLEMS
RAYLEIGH-TAYLOR INSTABILITY
SIMULATION
SPHERICAL CONFIGURATION
WAVELENGTHS