Dynamic Multilevel Methods and Non-Homogeneous Turbulence

. Multilevel methods have been used in the numerical simulation of turbulent flows. The separation of scales can lead to different strategies, such as large eddy simulation or adaptative schemes for example. The large eddy simulation propose to resolve the large scale equation, by modeling the subgr...

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Bibliographic Details
Main Authors: Bouchon Dubois And, F. Bouchon, T. Dubois, F. Jauberteau
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Subjects:
DML
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.4744
http://wwwlma.univ-bpclermont.fr/~bouchon/publi/pub1.ps.gz
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Summary:. Multilevel methods have been used in the numerical simulation of turbulent flows. The separation of scales can lead to different strategies, such as large eddy simulation or adaptative schemes for example. The large eddy simulation propose to resolve the large scale equation, by modeling the subgrid stress tensor. Multilevel methods propose a different approach: by analyzing the time and space behavior of the different scales, we propose to compute them differently. In this paper, we describe the strategy in the case of non-homogeneous turbulence (the channel flow problem), after giving some results for the one-dimensional Burgers equation. 1 Introduction Dynamic multilevel (DML) method have been applied to the numerical simulation of periodic flows (homogeneous turbulence).The strategy described in [ Dubois ] consists in using a spatial filtering y = P (u) and a separation of scales u = y + z such that both the large (y) and the small (z) scales satisfy the boundary conditions. .