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- 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)

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

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. Key-words : oceanography, turbulence models, stability, partial differential equations MSC classification : 35J60, 35K55, 76E20, 76F40

- 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 immiscible 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 is… (More)

Abstract. This paper is devoted to the study of a turbulent circulation model. Equations are derived from the “Navier-Stokes turbulent kinetic energy” system. Some simplifications are performed but attention is focused on non linearities linked to turbulent eddy viscosity νt. The mixing length ` acts as a parameter which controls the turbulent part in νt.… (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. MCS Classification : 76D05, 35Q30, 76F65, 76D03 Key-words : Navier-Stokes equations, Large eddy simulation, Deconvolution models.

This study focused on the extraction and physicochemical characterization of proteins from larvae and larvae meal of Tenebrio molitor. The larvae were subjected to a protein extraction process which involved a thermo-mechanical pre-treatment to produce the larvae meal. Soluble proteins from larvae and from larvae meal were subsequently extracted by… (More)

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

We display a continous equation for the deconvolution process that generalizes the Van Cittert algorithm in the case of oceanic boundary conditions for a given fixed wind. We deduce a LES model for which we have existence and uniqueness of a strong solution. Finally, we display several numerical simulations showing the practical interest of the model.… (More)