AI 中文总结
针对球形几何中单模态瑞利-泰勒不稳定性气泡的非线性增长，构建了适用于任意阿特伍德数及会聚、发散重力构型的解析模型，揭示了球形几何对气泡增长的不同影响，其预测与数值模拟吻合良好。
AI 中文摘要
我们提出了一种用于球形几何中单模态瑞利-泰勒不稳定性（RTI）气泡非线性增长的解析模型。该模型涵盖了从线性到非线性的气泡沿极轴的增长过程，适用于任意阿特伍德数（Atwood numbers），且可应用于会聚和发散两种重力构型。模型预测，气泡加速度在非线性阶段会趋近于一个渐近值。研究发现，在会聚重力构型下，与具有相同有效扰动波数的平面和圆柱构型相比，球形几何会促进RTI气泡增长；而在发散重力构型下，球形几何则会抑制气泡增长。模型预测结果与直接数值模拟结果吻合良好。
英文摘要
We present an analytical model for the nonlinear growth of a single-mode Rayleigh-Taylor instability (RTI) bubble in spherical geometry. The model captures the bubble growth along the polar axis, spanning the linear to nonlinear regimes, for arbitrary Atwood numbers and under both converging- and diverging-gravity configurations. The model predicts that the bubble acceleration approaches an asymptotic value in the nonlinear stage. The spherical geometry is found to enhance the RTI bubble growth relative to planar and cylindrical configurations with the same effective perturbation wavenumber in the converging-gravity cases, whereas it mitigates the bubble growth in the diverging-gravity cases. The model predictions show favorable agreement with direct numerical simulations.
Comments14 pages, 5 figures
