A new family of turbulence models, Large Eddy Simulation with Correction (LES-C) has been proposed in Labovsky (2020), that reduces the modeling error of LES models by using a predictor–corrector type method, known as defect correction. Here we propose to combine this approach with another predictor–corrector technique, known as deferred correction, to reduce the time discretization error of the LES-C models. The method uses the already existing LES-C structure, adding several terms to the right hand side of the correction step. This allows for the increase in accuracy at virtually no extra computational cost. We perform full numerical analysis and provide several computational tests that demonstrate the effectiveness of the new method.

Labovsky（2020）提出了一个新的湍流模型家族，即带有修正的大涡模拟（LES-C），它通过使用预测器-校正器类型的方法（称为缺陷校正）来减少LES模型的建模误差。在这里，我们建议将这种方法与另一种预测器-校正器技术（称为延迟校正）相结合，以减少LES-C模型的时间离散误差。该方法使用已经存在的LES-C结构，在校正步骤的右侧添加了几项。这使得准确性的提高几乎没有额外的计算成本。我们进行了完整的数值分析，并提供了一些计算实验证明了该新方法的有效性。