The dynamic procedure for accuracy improvement of numerical discretizations in fluid mechanics

In CFD computations, discretization or truncation errors should be small providing an acceptable level of accuracy. In this paper, an extension is made of the recently proposed LES formalism based on sampling operators. It is shown that the sampling-based dynamic procedure, in combination with an appropriate truncation error model, can be used as a technique to increase the numerical accuracy of a discretization. The technique is resemblant to the well-known Richardson extrapolation. The procedure is tested on a 1D convection–diffusion equation and a 2D lid-driven cavity at Re = 400, using a finite difference method. Promising results are found.