破开算子法用于二维流场计算的误差分析

Error Analysis for Operator Splitting Method Used for Two Dimensional Flow Pattern Calculation

对破开算子法应用于二维流场计算时由于将算子分裂和分步计算造成的误差进行了分析研究．首先介绍分步误差概念和推求方法，然后，对流场计算中若干典型的破开格式，在不同算例下，计算出对应的分步误差值，再与数值验证相对照，结果吻合．结论是：在地形变化复杂，流场流态改变剧烈时，要慎用破开算子法．对破开算子法在二维流场计算中的应用和改进有明确的指导意义．

Analyzed in this paper is operator splitting and step by step calculation induced error in the operator splitting method used for two dimensional flow pattern calculation.The step by step error and its estimating method are introduced first, and then the values of the step by step error corresponding to different calculating examples by using some typical splitting forms are calculated.The main conclusion is that the operator splitting method should be used carefully where the variation of flow patterns is violent.The results presented in the paper have distinct significance for application and modification of the operator splitting method for two dimensional flow pattern calculation.