POD and CVT-based reduced-order modeling of Navier-Stokes flows

被引：190

作者：

Burkardt, John

Gunzburger, Max ^{[1
]}

Lee, Hyung-Chun

机构：

[1] Florida State Univ, Sch Computat Sci, Tallahassee, FL 32306 USA

[2] Ajou Univ, Dept Math, Suwon 442749, South Korea

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 196卷 / 1-3期

关键词：

reduced-order modeling; proper orthogonal decomposition; centroidal Voronoi tessellations; Navier-Stokes equations;

D O I：

10.1016/j.cma.2006.04.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：337 / 355

页数：19

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