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Finite element error analysis of a zeroth order approximate deconvolution model based on a mixed formulation
Date
2007-07-01
Author
Carolina Cardoso, Manica
Kaya Merdan, Songül
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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A suitable discretization for the Zeroth Order Model in Large Eddy Simulation of turbulent flows is sought. This is a low order model, but its importance lies in the insight that it provides for the analysis of the higher order models actually used in practice by the pioneers Stolz and Adams [N.A. Adams, S. Stolz, On the approximate deconvolution procedure for LES, Phys. Fluids 2 (1999) 1699-1701; N.A. Adams, S. Stolz, Deconvolution methods for subgrid-scale approximation in large eddy simulation, in: B.J. Geurts (Ed.), Modem Simul. Strategies for Turbulent Flow, Edwards, Philadelphia, 2001, pp. 21-44] and others. The higher order models have proven to be of high accuracy. However, stable discretizations of them have proven to be tricky and other stabilizations, such as time relaxation and eddy viscosity, are often added. We propose a discretization based on a mixed variational formulation that gives the correct energy balance. We show it to be unconditionally stable and prove convergence.
Subject Keywords
Zeroth order model
,
Deconvolution
,
Large eddy simulation
,
Approximate deconvolution models
URI
https://hdl.handle.net/11511/44904
Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
DOI
https://doi.org/10.1016/j.jmaa.2006.08.083
Collections
Department of Mathematics, Article