On the performance of optimized finite difference schemes in large-eddy simulation of the taylor-green vortex

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Abstract

We assess the quality of three types of finite difference schemes for LES of Taylor-Green vortex flow: the standard Taylor-based schemes, Dispersion-Relation Preserving (DRP) schemes (Tam and Webb, J. Comput. Phys. 107:262-281, 1993) and the dynamic finite difference (DFD) schemes of Fauconnier et al. (J. Comput. Phys. 228(21):8053-8084, 2009). DRP schemes and DFD schemes reduce substantially the numerical errors in comparison with standard schemes of similar stencil width. © 2011 Springer-Verlag Berlin Heidelberg.

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Fauconnier, D., & Dick, E. (2011). On the performance of optimized finite difference schemes in large-eddy simulation of the taylor-green vortex. In Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010 (pp. 753–759). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-17884-9_96

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