This report studies an abstract approach to modeling the motion of large eddies in a turbulent flow. If the Navier-Stokes equations (NSE) are averaged with a local, spatial convolution type filter, Ï†â€¦ (More)

We study a recent regularization of the Navier-Stokes equations, the NS-Ï‰ model. This model has similarities to the NS-Î± model, but its structure is more amenable to be used as a basis for numericalâ€¦ (More)

A. Labovschii, W. Layton, C. Manica, M. Neda, L. Rebholz, I. Stanculescu, and C. Trenchea 1 Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, ayl2@pitt.edu 2 Department ofâ€¦ (More)

If the Navier-Stokes equations are averaged with a local, spacial convolution type filter, Ï† = gÎ´âˆ—Ï†, the resulting system is not closed due to the filtered nonlinear term uu. An approximateâ€¦ (More)

In this work a dual-mixed approximation of a nonlinear generalized Stokes problem is studied. The problem is analyzed in Sobolev spaces which arise naturally in the problem formulation. Existence andâ€¦ (More)

This report develops and studies a new family of NSE-regularizations, Tikhonov Leray Regularization with Time Relaxation Models. This new family of turbulence models is based on a modificationâ€¦ (More)

A. Labovschii, W. Layton, C. Manica, M. Neda, L. Rebholz, I. Stanculescu, and C. Trenchea 1 Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, ayl2@pitt.edu 2 Department ofâ€¦ (More)

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 keyâ€¦ (More)

If the Navier-Stokes equations are averaged with a local, spacial convolution type filter, Ï† = gÎ´ âˆ— Ï† , the resulting system is not closed due to the filtered nonlinear term uu. An approximateâ€¦ (More)