Von Karman模型三维大气紊流仿真理论与方法

Theory and method of numerical simulation for 3D atmospheric turbulence field based on Von Karman model

基于三维紊流场相关函数矩阵,用蒙特卡罗法仿真生成Von Karman模型三维空间大气紊流场,实现了对复杂的Von Karman模型的精确推导和应用,仿真流场的相关特性在理论上可以任意逼近Von Karman理论模型.通过提高白噪声序列的白化程度及优化蒙特卡罗算法的方法提高了仿真精度和效率.数值仿真结果证明:所生成的空间大气紊流场符合模型特性,具有较好的统计特性和仿真精度,满足实时飞行仿真对紊流场数据的要求.

Three-dimension-field atmospheric turbulence based on Von Karman model was generated with Monte Carlo simulation,in view of correlation function matrix. According to the derivation of the Von Karman model formulae, the correlation curves of the simulated field can highly approach the theory results. The preci- sion and efficiency of atmospheric turbulence simulation were improved by using double stochastic interchange minimization algorithm to improve Gauss white noise sequence, and also by the optimization of Monte Carlo method. The simulated atmospheric turbulence field, is identical with the Von Karman model by numerical test, and has perfect statistical characteristic and simulation precision. The simulation method could be used in real-time flight simulation.