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Title: Successive inverse polynomial interpolation to optimize Smagorinsky's model for large-eddy simulation of homogeneous turbulence
Authors: Geurts, BJ ×
Meyers, Johan #
Issue Date: 2006
Publisher: Amer Inst Physics
Series Title: Physics of Fluids vol:18 issue:11
Article number: 118102
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 N3N3 is comparable to a single simulation at (3N∕2)3(3N∕2)3 grid cells. The increased accuracy is higher than obtained with dynamic modeling at a resolution of (4N)3(4N)3 .
ISSN: 1070-6631
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Applied Mechanics and Energy Conversion Section
× corresponding author
# (joint) last author

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