Abstract
The performance of a class of explicit and implicit dynamic finite difference schemes (Fauconnier et al. J. Comput. Phys., 228(6):1830–1861 (2009), J. Comput. Phys., Accepted (2009)) is investigated for the Large-Eddy Simulation of the three-dimensional Taylor-Green Vortex flow (Brachet et al. (1983)), in which the dynamic Smagorinsky model and the small-small multiscale Smagorinsky model are used. The numerical errors and the modeling errors and their interactions are investigated.
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References
M.E. Brachet, D.I. Meiron, S.A. Orszag, B.G. Nickel, R.H. Morf, and U. Frisch. Small-scale structure of the Taylor-Green Vortex. J. Fluid. Mech., 130:411–452, 1983.
D. Fauconnier, C. De Langhe, and E. Dick. Construction of Implicit Dynamic Finite Difference Schemes and Application to the Large-Eddy Simulation of the Taylor-Green Vortex. J. Comput. Phys., 2009, Accepted.
D. Fauconnier, C. De Langhe, and E. Dick. A family of dynamic finite difference schemes for large-eddy simulation. J. Comput. Phys., 228(6):1830–1861, 2009.
J. Meyers, B. Geurts, and M. Baelmans. Database analysis of errors in large-eddy simulation. Phys. Fluids, 15(9):2740–2755, 2003.
J. Meyers, B. Geurts, and M. Baelmans. Optimality of the dynamic procedure for large-eddy simulations. Phys. Fluids, 17(4):045–108, 2005.
C. K. W. Tam and J. C. Webb. Dispersion-Relation Preserving Finite Difference Schemes for Computational Acoustics. J. Comp. Phys., 107:262–281, 1993.
B. Vreman, B. Geurts, and H. Kuerten. Comparison of numerical schemes in large-eddy simulations of the temporal mixing layer. Int. J. Num. Methods in Fluids, 22:297–311, 1996.
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Fauconnier, D., De Langhe, C., Dick, E. (2011). Quality assessment of Dynamic Finite Difference schemes on the Taylor-Green Vortex. In: Salvetti, M., Geurts, B., Meyers, J., Sagaut, P. (eds) Quality and Reliability of Large-Eddy Simulations II. ERCOFTAC Series, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0231-8_26
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DOI: https://doi.org/10.1007/978-94-007-0231-8_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0230-1
Online ISBN: 978-94-007-0231-8
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