Artificial viscosity proper orthogonal decomposition

作者：Borggaard Jeff; Iliescu Traian^*; Wang Zhu

来源：Mathematical and Computer Modelling, 2011, 53(1-2): 269-279.

DOI：10.1016/j.mcm.2010.08.015

• Proper orthogonal decomposition
• Large eddy simulation
• Artificial viscosity

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.

• 出版日期2011-1