期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 196, 期 1-3, 页码 337-355出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2006.04.004
关键词
reduced-order modeling; proper orthogonal decomposition; centroidal Voronoi tessellations; Navier-Stokes equations
A discussion of reduced-order modeling for complex systems such as fluid flows is given to provide a context for the construction and application of reduced-order bases. Reviews of the POD (proper orthogonal decomposition) and CVT (centroidal Voronoi tessellation) approaches to reduced-order modeling are provided, including descriptions of POD and CVT reduced-order bases, their construction from snapshot sets, and their application to the low-cost simulation of the Navier-Stokes system. Some concrete incompressible flow examples are used to illustrate the construction and use of POD and CVT reduced-order bases and to compare and contrast the two approaches to reduced-order modeling. (c) 2006 Elsevier B.V. All rights reserved.
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