标题： 李雅普诺夫稳定的后暂态不可压缩流动的Galerkin模型 显示英文标题

标题： Lyapunov stable Galerkin models of post-transient incompressible flows

摘要： 提出了一种推导出能证明稳定的低维Galerkin模型的方法，该模型适用于暂态后的不可压缩流场。所提出的策略涉及一种迭代过程，用于扩展在不动点邻域满足李雅普诺夫稳定性的模态。这种方法通过两个典型的流动构型进行了展示：二维混合层和由可动盖驱动的二维空腔内流动。这种新方法可以成为构建更精确且更稳健的不可压缩流场低维模型的一个基本单元。 显示英文摘要

摘要： A method for deriving provably stable low-dimensional Galerkin models of post-transient incompressible flows is introduced. The proposed approach involves an iterative procedure for expansion modes that satisfy Lyapunov stability in the neighborhood of a fixed point. The approach is demonstrated using two prototypical flow configurations: a two-dimensional mixing layer, and two-dimensional flow inside a lid-driven cavity. This new methodology can be a building block in an effort to develop more accurate and more robust low-dimensional models of incompressible flows.