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Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation
Joint Authors
Manica, C. C.
Mays, N.
Stanculescu, I.
Ingram, R.
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-32, 32 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-27
Country of Publication
Egypt
No. of Pages
32
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ingram, R.& Manica, C. C.& Mays, N.& Stanculescu, I.. 2012. Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-32.
https://search.emarefa.net/detail/BIM-450834
Modern Language Association (MLA)
Ingram, R.…[et al.]. Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation. Advances in Numerical Analysis No. 2012 (2012), pp.1-32.
https://search.emarefa.net/detail/BIM-450834
American Medical Association (AMA)
Ingram, R.& Manica, C. C.& Mays, N.& Stanculescu, I.. Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-32.
https://search.emarefa.net/detail/BIM-450834
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450834