Analysis of a Reduced-Order Approximate Deconvolution Model and its interpretation as a Navier-Stokes-Voigt regularization
Analysis of PDEs
2015-04-21 v1
Abstract
We study mathematical and physical properties of a family of recently introduced, reduced-order approximate deconvolution models. We first show a connection between these models and the NS-Voigt model, and that NS-Voigt can be re-derived in the approximate deconvolution framework. We then study the energy balance and spectra of the model, and provide results of some turbulent flow computations that backs up the theory. Analysis of global attractors for the model is also provided, as is a detailed analysis of the Voigt model's treatment of pulsatile flow.
Keywords
Cite
@article{arxiv.1504.05050,
title = {Analysis of a Reduced-Order Approximate Deconvolution Model and its interpretation as a Navier-Stokes-Voigt regularization},
author = {L. C. Berselli and T. -Y. Kim and L. G. Rebholz},
journal= {arXiv preprint arXiv:1504.05050},
year = {2015}
}
Comments
22 pages, 5 figures