期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 53, 期 1-2, 页码 269-279出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2010.08.015
关键词
Proper orthogonal decomposition; Large eddy simulation; Artificial viscosity
类别
资金
- National Science Foundation [DMS-0513542, OCE-0620464]
- Air Force Office for Scientific Research [FA9550-08-1-0136]
We introduce improved reduced-order models for turbulent flows. These models are inspired from successful methodologies used in large eddy simulation, such as artificial viscosity, applied to standard models created by proper orthogonal decomposition of flows coupled with Galerkin projection. As a first step in the analysis and testing of our new methodology, we use the Burgers equation with a small diffusion parameter. We present a thorough numerical analysis for the time discretization of the new models. We then test these models in two problems displaying shock-like phenomena. Of course, since the Burgers equation does not model turbulence, we next need to test our new models in realistic turbulent flow settings. This is the subject of a forthcoming report. (C) 2010 Elsevier Ltd. All rights reserved.
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