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We consider the case of a homogeneous, isotropic, fully developed, turbulent flow. We show analytically by using the − 5/3 Kolmogorov's law that the time averaged consistency error of the N th approximate deconvolution LES model converges to zero following a law as the cube root of the averaging radius, independently of the Reynolds number. The consistancy… (More)

- William J. Layton, Roger Lewandowski
- Appl. Math. Lett.
- 2003

In averaging the Navier-Stokes equations the problem of closure arises. Scale similarity models address closure by (roughly speaking) extrapolation from the (known) resolved scales to the (unknown) unresolved scales. In a posteriori tests scale similarity models are often the most accurate but can prove to be unstable when used in a numerical simulation. In… (More)

In 1934 J. Leray proposed a regularization of the Navier-Stokes equations whose limits were weak solutions of the NSE. Recently, a modification of the Leray model, called the Leray-alpha model, has atracted study for turbulent flow simulation. One common drawback of Leray type regularizations is their low accuracy. Increasing the accuracy of a simulation… (More)

- A.-C. Bennis, T. Chacón Rebollo, Macarena Gómez Mármol, Roger Lewandowski
- Appl. Math. Lett.
- 2008

We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions.

- Anne-Claire Bennis, Roger Lewandowski
- 2008

On introduit uné equation de déconvolution qui généralise l'algorithme de Van-Cittert pour des conditions aux limites de type océananique avec vent fixé. On en déduit un modèle de SGE pour lequel on a existence et unicité d'une solutionrégulì ere. Nous détaillons un ensemble de simulations numériques qui montrent l'intérêt pratique du modèle. Abstract We… (More)

- Christine Bernardi, T. Chacón Rebollo, Macarena Gómez Mármol, Roger Lewandowski, François Murat
- Numerische Mathematik
- 2004

We consider a Large Eddy Simulation (LES) model for the equations of Magnetohydrodynamics (MHD). We study an α-model that is obtained by adapting to the MHD the approach by Stolz and Adams with van Cittert approximate deconvolution operators. We work with periodic boundary conditions and use the Helmholtz filter. We prove existence and uniqueness of a… (More)

- Roger Lewandowski, Yves Preaux
- Appl. Math. Lett.
- 2009

We consider a deconvolution model for 3D periodic flows. We show the existence of a global attractor for the model.

This paper is devoted to the simulation of the flow around and inside a rigid axisym-metric net. We describe first how experimental data have been obtained. We show in detail the modelization. The model is based on a Reynolds Averaged Navier-Stokes turbulence model penalized by a term based on the Brinkman law. At the out-boundary of the computational box,… (More)

- Christine Bernardi, T. Chacón Rebollo, Roger Lewandowski, François Murat
- SIAM J. Numerical Analysis
- 2002

We consider a system of equations that models the stationary flow of two im-miscible turbulent fluids on adjacent subdomains. The equations are coupled by nonlinear boundary conditions on the interface which is here a fixed given surface. We propose a spectral discretization of this problem and perform its numerical analysis. The convergence of the method… (More)

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