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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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

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Citation Formats

M. Carolina Cardoso and S. Kaya Merdan, “Finite element error analysis of a zeroth order approximate deconvolution model based on a mixed formulation,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, pp. 669–685, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44904.