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The Physics of Inertial FusionBeamPlasma Interaction, Hydrodynamics, Hot Dense Matter$
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Stefano Atzeni and Jürgen Meyer-ter-Vehn

Print publication date: 2004

Print ISBN-13: 9780198562641

Published to Oxford Scholarship Online: January 2008

DOI: 10.1093/acprof:oso/9780198562641.001.0001

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Hydrodynamic stability

Hydrodynamic stability

Chapter:
(p.237) 8 Hydrodynamic stability
Source:
The Physics of Inertial Fusion
Author(s):

Stefano Atzeni

JÜrgen Meyer-Ter-Vehn

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198562641.003.0008

This chapter is devoted to hydrodynamic instabilities. Internal confinement fusion (ICF) capsule implosions are inherently unstable. In particular, the Rayleigh-Taylor instability (RTI) developing at the beam accelerated capsule outer surface tends to destroy the imploding shell, while the deceleration-phase RTI occurring at the inner surface of the stagnating capsule hinders the formation of a central hot spot. Control of this instability is a major challenge facing ICF. Richtmyer-Meshkov (RMI) and Kelvin-Helmholtz (KHI) instabilities also occur in ICF. Starting from basic theory, the instability linear theory is developed in much detail, including the stabilizing effect of ablation on RTI (ablative stabilization). The resulting dispersion relation is then applied to actual ICF implosions, deriving the admissible levels of non-uniformity in capsule make and implosion drive. The nonlinear growth of bubbles and spikes, including turbulent mixing are also described.

Keywords:   internal confinement fusion, Rayleigh-Taylor instability, Richtmyer-Meshkov instability, Kelvin-Helmholtz instability, instability linear theory, instability dispersion relation, deceleration-phase RTI, ablative stabilization, bubbles and spikes, turbulent mixing

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