基于空间相关函数的二维紊流场数值生成法

大气紊流是复杂的扰动形式，影响飞行品质、飞行安全。对于复杂的飞行任务，有必要生成二维紊流场模型，从而更准确地反映扰动情况。传统方法是以时间频谱为基础，利用谱分解定理得到所需的成形滤波器结构，进而生成紊流递归模型。这种方法需要经过对模型进行简化，以便利用谱分解定理，使仿真模型的统计特性受到影响；另外，从理论上讲，传统方法只能生成一维大气紊流递归模型。本文直接从空间相关函数入手，提出建立离散自递归模型的新方法，给出了二维紊流场的递归模型

Digital Generation of Two-Dimensional Field of Turbulence Based on Spatial Correlation Function

The atmospheric turbulence is a kind of complicated disturbance, which influences flight quality and flight safety. It is necessary to build two dimensional turbulence model for the complex flight mission, thereby describing the true situation. The conventional method is to obtain the structure of the shaping filter by using decomposing theorem based on time related frequency spectrum. There are two shortcomings in the method. Firstly, the spectrum decomposing needs simplification. Secondly, it cannot be extended to two dimensional case in nature. This paper proposes a new method to build the discrete self recursive model by using the space related function and deduces a recursive model of two dimensional turbulence. The comparison of the two methods in one dimensional case is also provided.