Article
Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation
Advances in Numerical Analysis
Document Type
Article
Publication Date
7-25-2012
Disciplines
Abstract
We present a general theory for regularization models of the Navier-Stokes equations based on the Leray deconvolution model with a general deconvolution operator designed to fit a few important key properties. We provide examples of this type of operator, such as the (modified) Tikhonov-Lavrentiev and (modified) Iterated Tikhonov-Lavrentiev operators, and study their mathematical properties. An existence theory is derived for the family of models and a rigorous convergence theory is derived for the resulting algorithms. Our theoretical results are supported by numerical testing with the Taylor-Green vortex problem, presented for the special operator cases mentioned above.
Creative Commons License
Creative Commons Attribution 3.0
DOI
10.1155/2012/162539
Citation Information
Iuliana Stanculescu, R. Ingram, N Mays and C. C. Manica. "Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation" Advances in Numerical Analysis Vol. 2012 Iss. 2012 (2012) p. 32pp ISSN: 1687-9562 Available at: http://works.bepress.com/iuliana-stanculescu/15/
Copyright © 2012 R. Ingram et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.