Mathematics Faculty Articles
Numerical Analysis of Leray-Tikhonov Deconvolution Models of Fluid Motion
Document Type
Article
Publication Date
9-1-2010
Publication Title
Computers & Mathematics with Applications
Keywords
Navier-Stokes equation, Leray deconvolution, Tikhonov regularization, Turbulence models
ISSN
0898-1221
Volume
60
Issue/No.
5
First Page
1440
Last Page
1456
Abstract
This report develops and studies a new family of Navier–Stokes equation regularizations: Leray–Tikhonov regularizations with time relaxation models. This new family of turbulence models is based on a modification (consistent with the large scales) of Tikhonov–Lavrentiev regularization. With this approach, we obtain an approximation of the unfiltered solution by one filtering step. We introduce the modified Tikhonov deconvolution operator and study its mathematical properties. We also perform rigorous numerical analysis of a computationally attractive algorithm for this family of models and present numerical experiments using it
NSUWorks Citation
Stanculescu, Iuliana and Manica, Carolina C., "Numerical Analysis of Leray-Tikhonov Deconvolution Models of Fluid Motion" (2010). Mathematics Faculty Articles. 78.
https://nsuworks.nova.edu/math_facarticles/78
DOI
10.1016/j.camwa.2010.06.026