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Title: Stability of spherical converging shock wave

Based on Guderley's self-similar solution, stability of spherical converging shock wave is studied. A rigorous linear perturbation theory is developed, in which the growth rate of perturbation is given as a function of the spherical harmonic number ℓ and the specific heats ratio γ. Numerical calculation reveals the existence of a γ-dependent cut-off mode number ℓ{sub c}, such that all the eigenmode perturbations for ℓ > ℓ{sub c} are smeared out as the shock wave converges at the center. The analysis is applied to partially spherical geometries to give significant implication for different ignition schemes of inertial confinement fusion. Two-dimensional hydrodynamic simulations are performed to verify the theory.
Authors:
 [1] ;  [2] ;  [3]
  1. Institute of Laser Engineering, Osaka University, Osaka 565-0871 (Japan)
  2. ETSI Aeronauticos, Universidad Politecnica de Madrid, Madrid 28040 (Spain)
  3. Graduate School of Science and Engineering, Ehime University, Ehime 790-8577 (Japan)
Publication Date:
OSTI Identifier:
22490974
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 7; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COMPUTERIZED SIMULATION; DISTURBANCES; HYDRODYNAMICS; INERTIAL CONFINEMENT; PERTURBATION THEORY; SHOCK WAVES; SPECIFIC HEAT; SPHERICAL CONFIGURATION; SPHERICAL HARMONICS; THERMONUCLEAR IGNITION; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS