Variational approach for linear growth rate of Rayleigh-Taylor instability with continuous density profile

xue chuang; fan zhengfeng; ye wenhua

Volume 21 Issue 03

Mar. 2009

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Article Navigation > High Power Laser and Particle Beams > 2009 > 21(03): 0-

song sheng-yi, qiu xu, wang wen-dou, et al. Circuit model for magnetically insulated transmission line[J]. High Power Laser and Particle Beams, 2005, 17.

Citation:

xue chuang, fan zhengfeng, ye wenhua. Variational approach for linear growth rate of Rayleigh-Taylor instability with continuous density profile[J]. High Power Laser and Particle Beams, 2009, 21.

song sheng-yi, qiu xu, wang wen-dou, et al. Circuit model for magnetically insulated transmission line[J]. High Power Laser and Particle Beams, 2005, 17.

Citation:

xue chuang, fan zhengfeng, ye wenhua. Variational approach for linear growth rate of Rayleigh-Taylor instability with continuous density profile[J]. High Power Laser and Particle Beams, 2009, 21.

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Variational approach for linear growth rate of Rayleigh-Taylor instability with continuous density profile

1.
Graduate School of China Academy of Energineering Physics,P.O.Box 2101,Beijing 100088,China;
2.
Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing 100088,China

Publish Date: 2009-03-15

Abstract

Abstract

The stabilization effect on Rayleigh-Taylor instability of density gradient was studied, with the variational and finite element approach to solve the Chandrasekhar equation. The growth rates under different density profiles were gained for ideal incompressible fluids and compared with those derived by the modified Lindl formula. The largest difference between of the results the numerical simulation and the formula happens when the perturbation wave length equals to the density scale length, and the peak value of the perturbation lies at the points where the scale length function meets its extreme. The two results agree well when the pertubation wave number appoaches infinity or infinitesimal. The pertubation velocities were also got in the simulation.
- density gradient stabilization,
- chandrasekhar equation,
- lindl formula,
- finite element approach,
- perturbation growth rate

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