Eigen Analysis in General Curvilinear Coordinates for Acoustic Propagation.

广义曲线坐标系下的本征分析是威尔逊教授开创的一种新的声波传播方法。该方法扩展和取代了这一应用领域中以前关于特征分析的一系列工作。它已经在一些一般的传播问题上得到了成功的演示，但仍处于起步阶段。本项目将为该方法提供坚实的基础。解决某些方面的问题(如模式识别和排序、矩阵条件数、非谱导数矩阵)，以确定当前例程的局限性并在必要时加以改进。拓宽应用领域(例如，透平机械叶片响应建模)。用现有的高保真计算气动声学方法对该方法进行了验证。

Eigen Analysis in General Curvilinear Coordinates is a new method for propagation of acoustic waves pioneered by Prof. Wilson. The method extends and supercedes a range of previous work on eigen analysis in this application domain. It has been successfully demonstrated on some generic propagation problems, but is still in its infancy.This project will provide a firm foundation for the method by1. Addressing areas (such as mode identification and sorting, matrix condition number, non-spectral derivative matrices) to identify limitations of the current routines and improve them where necessary.2. Broadening the domain of application (for instance to turbomachinery blade response modelling).3. Validating the method against existing high fidelity computational aeroacoustics methods.