中文摘要：

以便扩大 e ^N 方法到一般三维的边界层，为有固定波浪向量的波浪参数的想象的部分的能量守恒定律被推出。相容性关系(CR ) 广泛地在保守系统被使用了，和光线跟踪的一般理论(RT ) 被用于属于非保守的系统的一般三维的边界层。二种 e ^N 方法，即， eN-CR 方法和 eN-RT 方法，被建立。两个都，二种方法能被用来预言 spanwise wavenumber 和骚乱的振幅的进化一般来说三维的边界层。建议方法的可靠性被在一个飞机模型上在极超音速的一般三维的边界层执行直接数字的模拟(DNS ) 验证并且验证。结果也与另外的 e ^N 方法获得的那些相比，显示建议方法有在改进转变预言精确性的大潜在的应用一般来说三维的边界层。

英文摘要：

In order to extend the eN method to general three-dimensional boundary layers, the conservation law of the imaginary parts for the wave parameters with a fixed wave vector is deduced. The compatibility relationship （CR） and the general theory of ray tracing （RT）, which have been extensively used in conservative systems, are applied to a general three-dimensional boundary layer belonging to non-conservative systems. Two kinds of eN methods, i.e., the eN-CR method and the eN-RT method, are established. Both the two kinds of methods can wavenumber and the amplitude of the be used to predict the evolutions of the spanwise disturbances in general three-dimensional boundary layers. The reliability of the proposed methods is verified and validated by performing a direct numerical simulation （DNS） in a hypersonic general three-dimensional boundary layer over an aircraft model. The results are also compared with those obtained by other eN methods, indicating that the proposed methods have great potential applications in improving the transition prediction accuracy in general three-dimensional boundary layers.