Higher temporal accuracy for LES-C turbulence models

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.