预处理共轭梯度法在VVP三维风场反演中的应用

THE USE OF PRECONDITION CONJUGATE GRADIENTS METHOD IN THE VVP 3D WIND FIELD RETRIEVAL

本文从VVP(VolumeVelocityProcessing)方法的原始方程出发 ,进行三维风场反演的实验 ,在分析体积中心点反演十个变量 ,对病态矩阵的求解采用了预处理共轭梯度方法。通过对实测资料的分析 ,结果表明 :预处理共轭梯度方法能较好的处理矩阵的病态问题 ,反演的水平二维风场、散度项和变形项结果比较合理 ,散度项和形变项量级都在 10 - 6 ～ 10 - 3之间 ,水平速度和垂直速度量级在 10 - 1～ 10 1之间。

This paper conducted the three-dimension wind field retrieval test from the original equations of VVP(volume-velocity processing) method, retrieved ten variations from the center of analysis volume, processed the ill condition matrix with the precondition conjugate gradients method. From the analysis of real data the results show: the precondition conjugate gradients method can effectively process ill condition matrix, retrieved horizontal two-dimension wind, divergence and deformation fields are reasonable, divergence and deformation are about 10 -6 ～10 -3 ,horizontal wind and vertical speed are about 10 -1 ～10 1.