Convergence analysis of a fully discrete family of iterated deconvolution methhods for turbulence modeling with time relaxation
dc.contributor.author | Ingram, Ross Nicholas | pt_BR |
dc.contributor.author | Manica, Carolina Cardoso | pt_BR |
dc.contributor.author | Stanculescu, I. | pt_BR |
dc.contributor.author | Mays, Nathaniel H. | pt_BR |
dc.date.accessioned | 2021-08-18T04:31:39Z | pt_BR |
dc.date.issued | 2012 | pt_BR |
dc.identifier.issn | 1687-9562 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/225800 | pt_BR |
dc.description.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 TikhonovLavrentiev 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. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Advances in numerical analysis. New York. Vol. 2012 (2012), 32 p. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Modelagem matemática | pt_BR |
dc.title | Convergence analysis of a fully discrete family of iterated deconvolution methhods for turbulence modeling with time relaxation | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 000874561 | pt_BR |
dc.type.origin | Estrangeiro | pt_BR |
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