Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical RayleighTaylor instability
Nonlinear saturation amplitudes (NSAs) of the first two harmonics in classical RayleighTaylor instability (RTI) in cylindrical geometry for arbitrary Atwood numbers have been analytically investigated considering nonlinear corrections up to the fourthorder. The NSA of the fundamental mode is defined as the linear (purely exponential) growth amplitude of the fundamental mode at the saturation time when the growth of the fundamental mode (first harmonic) is reduced by 10% in comparison to its corresponding linear growth, and the NSA of the second harmonic can be obtained in the same way. The analytic results indicate that the effects of the initial radius of the interface (r{sub 0}) and the Atwood number (A) play an important role in the NSAs of the first two harmonics in cylindrical RTI. On the one hand, the NSA of the fundamental mode first increases slightly and then decreases quickly with increasing A. For given A, the smaller the r{sub 0}/λ (with λ perturbation wavelength) is, the larger the NSA of the fundamental mode is. When r{sub 0}/λ is large enough (r{sub 0}≫λ), the NSA of the fundamental mode is reduced to the prediction of previous literatures within the framework of thirdorder perturbation theory [J. W. Jacobs andmore »
 Authors:

^{[1]};
^{[2]};
;
^{[3]}
 Research Center of Computational Physics, Mianyang Normal University, Mianyang, 621000 (China)
 (China)
 LHD, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190 (China)
 Publication Date:
 OSTI Identifier:
 22403243
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 11; Other Information: (c) 2014 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; AMPLITUDES; CYLINDRICAL CONFIGURATION; DISTURBANCES; HARMONICS; INTERFACES; NONLINEAR PROBLEMS; PERTURBATION THEORY; RAYLEIGHTAYLOR INSTABILITY; SATURATION; THERMONUCLEAR IGNITION