Successive inverse polynomial interpolation to optimize Smagorinsky's model for large-eddy simulation of homogeneous turbulence

Geurts, Bernard J. and Meyers, Johan (2006) Successive inverse polynomial interpolation to optimize Smagorinsky's model for large-eddy simulation of homogeneous turbulence. Physics of Fluids , 18 . p. 118102. ISSN 1070-6631

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Abstract:	We propose the successive inverse polynomial interpolation method to optimize model parameters in subgrid parameterization for large-eddy simulation. This approach is illustrated for the Smagorinsky eddy-viscosity model used in homogeneous decaying turbulence. The optimal Smagorinsky parameter is resolution dependent and provides minimal total error in the resolved kinetic energy. It is approximated by starting with a “bracketing interval” that is obtained from separate “no-model” and “dynamic eddy-viscosity” large-eddy simulations. The total error level is reduced 3–6 times compared to the maximal initial errors. The computational overhead of the full optimization at resolution N3 is comparable to a single simulation at $(3N/2)^3$ grid cells. The increased accuracy is higher than obtained with dynamic modeling at a resolution of $(4N)^3$ .
Item Type:	Article
Copyright:	© 2007 American Institute of Physics
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematics of Computational Science (MaCS)
Link to this item:	http://purl.utwente.nl/publications/63903
Official URL:	http://dx.doi.org/10.1063/1.2391840
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