A turbulence model: Second-order temporal accuracy

This paper develops the defect-deferred correction method of finite element discretization to solve a turbulence model. The method consists of two phases: (1) implementing an artificial viscosity term as a defect step and (2) applying a correction strategy. This method can not only achieve second-order accuracy in time but also simulate small viscosity problem. Moreover, the stability and convergence of the defect step and the deferred correction step are proven, respectively. Finally, we perform several numerical examples to validate the theoretical analysis and illustrate the effectiveness of the proposed method.