Two-Dimensional Rayleigh-Taylor Instability in Incompressible Fluids at Arbitrary Atwood Numbers
The Rayleigh-Taylor instability in two-dimensional incompressible fluids at arbitrary Atwood numbers is studied by expanding the perturbation velocity potential to third order. The second and third harmonic generation effects of single-mode perturbation are analyzed, as well as the nonlinear correct...
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| Veröffentlicht in: | Chinese physics letters 2010-02, Vol.27 (2), p.180-183 |
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| creator | 王立锋 叶文华 李英骏 |
| description | The Rayleigh-Taylor instability in two-dimensional incompressible fluids at arbitrary Atwood numbers is studied by expanding the perturbation velocity potential to third order. The second and third harmonic generation effects of single-mode perturbation are analyzed, as well as the nonlinear correction to the exponential growth of the fundamental modulation. The mode coupling coefficients are dependent on the Atwood numbers. Our simulations support the weakly nonlinear results. We find that the ratio of the nonlinear saturation amplitude ηs and the perturbation wavelength λ is dependent on the Atwood number AT and the relation is ηs/λ=（1/π）[√2/5/√（1＋3AT2 ）]. |
| doi_str_mv | 10.1088/0256-307X/27/2/025203 |
| format | Article |
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The second and third harmonic generation effects of single-mode perturbation are analyzed, as well as the nonlinear correction to the exponential growth of the fundamental modulation. The mode coupling coefficients are dependent on the Atwood numbers. Our simulations support the weakly nonlinear results. 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| ispartof | Chinese physics letters, 2010-02, Vol.27 (2), p.180-183 |
| issn | 0256-307X 1741-3540 |
| language | eng |
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| source | Institute of Physics Journals |
| subjects | Harmonic generations Incompressible fluids Instability Modulation Nonlinearity Perturbation methods Rayleigh Stability Taylor Two dimensional 不可压缩流体 不稳定性 模式耦合系数 非线性校正 非线性饱和 |
| title | Two-Dimensional Rayleigh-Taylor Instability in Incompressible Fluids at Arbitrary Atwood Numbers |
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