论文标题
全球接受度分析：物理上可实现的输入输出分析
Global receptivity analysis: physically realizable input-output analysis
论文作者
论文摘要
在过渡分析的背景下，线性输入输出分析决定了基于通用的右侧体积/边界强迫项的层流基础流动的最坏情况干扰。最糟糕的强迫在物理上是无法实现的，据我们所知，缺乏一个通用的构成物理上可靠的最坏情况的干扰问题。在自然的接受性分析中，边界层中的匹配（通常是局部）解决方案与外部溶液中的匹配（通常是局部）解决方案强迫干扰，该解决方案由自由流涡流，熵和声学扰动组成。我们提出散射形式主义，以将强迫的输入限制为与外部问题的平面波解决方案相关的一组可实现的干扰。通过与Mach 4.5平板边界层的直接数值模拟（DNS）进行比较来验证该公式。我们表明，该方法通过识别那些平面波干扰的线性组合来洞悉过渡机制，从而在一系列频率上最大化能量扩增。我们还讨论了如何扩展框架以适应冲击和冲击层的散射以进行超音速流。
In the context of transition analysis, linear input-output analysis determines worst-case disturbances to a laminar base flow based on a generic right-hand-side volumetric/boundary forcing term. The worst-case forcing is not physically realizable, and, to our knowledge, a generic framework for posing physically-realizable worst-case disturbance problems is lacking. In natural receptivity analysis, disturbances are forced by matching (typically local) solutions within the boundary layer to outer solutions consisting of free-stream vortical, entropic, and acoustic disturbances. We pose a scattering formalism to restrict the input forcing to a set of realizable disturbances associated with plane-wave solutions of the outer problem. The formulation is validated by comparing with direct numerical simulations (DNS) for a Mach 4.5 flat-plate boundary layer. We show that the method provides insight into transition mechanisms by identifying those linear combinations of plane-wave disturbances that maximize energy amplification over a range of frequencies. We also discuss how the framework can be extended to accommodate scattering from shocks and in shock layers for supersonic flow.
