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

Authors:
Dieter Fauconnier;Chris De Langhe;Erik Dick
Affiliations:
Department of Flow, Heat and Combustion Mechanics, Ghent University, St. Pietersnieuwstraat 41, B-9000 Ghent, Belgium;Department of Flow, Heat and Combustion Mechanics, Ghent University, St. Pietersnieuwstraat 41, B-9000 Ghent, Belgium;Department of Flow, Heat and Combustion Mechanics, Ghent University, St. Pietersnieuwstraat 41, B-9000 Ghent, Belgium
Venue:
Journal of Computational Physics
Year:
2007

Citing 0
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Abstract

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.