TITLE

Preheating ablation effects on the Rayleigh-Taylor instability in the weakly nonlinear regime

AUTHOR(S)
Wang, L. F.; Ye, W. H.; Sheng, Z. M.; Don, Wai-Sun; Li, Y. J.; He, X. T.
PUB. DATE
December 2010
SOURCE
Physics of Plasmas;Dec2010, Vol. 17 Issue 12, p122706
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The two-dimensional Rayleigh-Taylor instability (RTI) with and without thermal conduction is investigated by numerical simulation in the weakly nonlinear regime. A preheat model κ(T)=κSH[1+f(T)] is introduced for the thermal conduction [W. H. Ye, W. Y. Zhang, and X. T. He, Phys. Rev. E 65, 057401 (2002)], where κSH is the Spitzer-Härm electron thermal conductivity coefficient and f(T) models the preheating tongue effect in the cold plasma ahead of the ablation front. The preheating ablation effects on the RTI are studied by comparing the RTI with and without thermal conduction with identical density profile relevant to inertial confinement fusion experiments. It is found that the ablation effects strongly influence the mode coupling process, especially with short perturbation wavelength. Overall, the ablation effects stabilize the RTI. First, the linear growth rate is reduced, especially for short perturbation wavelengths and a cutoff wavelength is observed in simulations. Second, the second harmonic generation is reduced for short perturbation wavelengths. Third, the third-order negative feedback to the fundamental mode is strengthened, which plays a stabilization role. Finally, on the contrary, the ablation effects increase the generation of the third harmonic when the perturbation wavelengths are long. Our simulation results indicate that, in the weakly nonlinear regime, the ablation effects are weakened as the perturbation wavelength is increased. Numerical results obtained are in general agreement with the recent weakly nonlinear theories as proposed in [J. Sanz, J. Ramírez, R. Ramis et al., Phys. Rev. Lett. 89, 195002 (2002); J. Garnier, P.-A. Raviart, C. Cherfils-Clérouin et al., Phys. Rev. Lett. 90, 185003 (2003)].
ACCESSION #
56912060

 

Related Articles

  • Spike deceleration and bubble acceleration in the ablative Rayleigh-Taylor instability. Ye, W. H.; Wang, L. F.; He, X. T. // Physics of Plasmas;Dec2010, Vol. 17 Issue 12, p122704 

    The nonlinear evolutions of the Rayleigh-Taylor instability (RTI) with preheat is investigated by numerical simulation (NS). A new phase of the spike deceleration evolution in the nonlinear ablative RTI (ARTI) is discovered. It is found that nonlinear evolution of the RTI can be divided into the...

  • Formation of large-scale structures in ablative Kelvin-Helmholtz instability. Wang, L. F.; Ye, W. H.; Don, Wai-Sun; Sheng, Z. M.; Li, Y. J.; He, X. T. // Physics of Plasmas;Dec2010, Vol. 17 Issue 12, p122308 

    In this research, we studied numerically nonlinear evolutions of the Kelvin-Helmholtz instability (KHI) with and without thermal conduction, aka, the ablative KHI (AKHI) and the classical KHI (CKHI). The second order thermal conduction term with a variable thermal conductivity coefficient is...

  • Relativistic effects on nonlinear lower hybrid oscillations in cold plasma. Maity, Chandan; Chakrabarti, Nikhil; Sengupta, Sudip // Journal of Mathematical Physics;Apr2011, Vol. 52 Issue 4, p043101 

    Nonlinear lower hybrid mode in a quasineutral magnetized plasma is analyzed in one space dimension using Lagrangian coordinates. In a cold fluid, we treat electron fluid relativistically, whereas ion fluid nonrelativistically. The homotopy perturbation method is employed to obtain the nonlinear...

  • Simplified and improved string method for computing the minimum energy paths in barrier-crossing events. Weinan E.; Weiqing Ren; Vanden-Eijnden, Eric // Journal of Chemical Physics;4/28/2007, Vol. 126 Issue 16, p164103 

    We present a simplified and improved version of the string method, originally proposed by E et al. [Phys. Rev. B 66, 052301 (2002)] for identifying the minimum energy paths in barrier-crossing events. In this new version, the step of projecting the potential force to the direction normal to the...

  • Thermal simulation of heterogeneous structural components in microelectronic devices. Gavrysh, V. I.; Fedasyuk, D. V. // Semiconductor Physics, Quantum Electronics & Optoelectronics;2010, Vol. 13 Issue 4, p439 

    The steady state nonlinear problem of thermal conduction for isotropic strip with foreign rectangular inclusion that heats as an internal thermal source with heat dissipation has been considered. The methodology to solve this problem and its application for the specific dependence of the...

  • Numerical simulation of ultracold plasmas. Kuzmin, S. G.; O’Neil, T. M. // Physics of Plasmas;Sep2002, Vol. 9 Issue 9, p3743 

    In recent experiments ultracold plasmas were produced by photoionizing small clouds of laser cooled atoms. This paper presents the results of molecular dynamic simulations for the early time evolution of such plasmas. Contrary to earlier speculation, no evidence of strong electron-electron...

  • Weakly non-linear extension of d'Alembert's formula. Khusnutdinova, K. R.; Moore, K. R. // IMA Journal of Applied Mathematics;Jun2012, Vol. 77 Issue 4, p361 

    We consider a weakly non-linear solution of the Cauchy problem for the regularized Boussinesq equation, which constitutes an extension of the classical d'Alembert's formula for the linear wave equation. The solution is given by a simple and explicit formula, expressed in terms of two special...

  • Numerical Simulation of the Propagation of a Solitary Wave over Underwater Barriers. Kudryashov, N. A.; Romanov, G. S.; Chmykhov, M. A. // Journal of Engineering Physics & Thermophysics;Jul/Aug2004, Vol. 77 Issue 4, p848 

    The problem on the behavior of a solitary wave passing over different types of underwater barriers is considered. The problem has been solved numerically using the method of the correction of flows. The parameters of the method of solution have been selected. The results are compared with the...

  • Phononic Heat Conduction in Disordered Crystals. Dhar, Abhishek // AIP Conference Proceedings;7/16/2011, Vol. 1349 Issue 1, p6 

    We investigate the question as to whether disordered harmonic crystals in two and three dimensions have a finite thermal conductivity. A heuristic argument using localization theory and kinetic theory is given to estimate the system size dependence of the current. Numerical results testing these...

Share

Read the Article

Courtesy of NEW JERSEY STATE LIBRARY

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics