论文标题
雷利 - 泰勒问题的3D接口模型
3D Interface Models for Rayleigh-Taylor Problems
论文作者
论文摘要
我们得出了3D Rayleigh-Taylor不稳定性（RTI）的界面模型，利用了流体流量非局部性的新型渐近扩展。 These interface models are derived for the purpose of studying universal features associated to RTI such as the Froude number in single-mode RTI, the predicted quadratic growth of the interface amplitude under multi-mode random perturbations, the optimal (viscous) mixing rates induced by the RTI and the self-similarity of horizontally averaged density profiles, and the remarkable stabilization of the mixing layer growth rate which arises for the三流体的两界重型轻便型构型，其中第三液体积的添加减慢了混合层的生长到线性速率。我们的界面模型可以捕获由严重界面卷起引起的小规模结构的形成，在许多不同的方案中重现实验数据，并研究多个界面相互作用的效果，即使界面分离距离变得非常小。与用于研究这种现象的传统数值方案相比，我们的模型提供了至少两个数量级的计算加速。
We derive interface models for 3D Rayleigh-Taylor instability (RTI), making use of a novel asymptotic expansion in the non-locality of the fluid flow. These interface models are derived for the purpose of studying universal features associated to RTI such as the Froude number in single-mode RTI, the predicted quadratic growth of the interface amplitude under multi-mode random perturbations, the optimal (viscous) mixing rates induced by the RTI and the self-similarity of horizontally averaged density profiles, and the remarkable stabilization of the mixing layer growth rate which arises for the three-fluid two-interface heavy-light-heavy configuration, in which the addition of a third fluid bulk slows the growth of the mixing layer to a linear rate. Our interface models can capture the formation of small-scale structures induced by severe interface roll-up, reproduce experimental data in a number of different regimes, and study the effects of multiple interface interactions even as the interface separation distance becomes exceedingly small. Compared to traditional numerical schemes used to study such phenomena, our models provide a computational speed-up of at least two orders of magnitude.
