Two-Dimensional Rayleigh-Taylor Instability in Incompressible Fluids at Arbitrary Atwood Numbers

• 作者: 叶文华 李英骏 王立锋
• 来源期刊: 中国物理快报(英文版)
• 学科: 工学
• 关键词: Rayleigh 不可压缩流体 不稳定性 Taylor 二维 模式耦合系数 非线性校正 非线性饱和
• 年，卷（期）: 2010,（2）
• 页码范围: 180-183
• 页数: 4页
• 分类号: TN919.8 O357.1
• 语种: 英文

摘要

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 )].