Convergence analysis of a fully discrete family of iterated deconvolution methhods for turbulence modeling with time relaxation
| Autor: | Ingram, Ross Nicholas, Manica, Carolina Cardoso, Stanculescu, I., Mays, Nathaniel H. |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Repositório Institucional da UFRGS Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|