Computation of POD basis functions for fluid flows with Lanczos methods

被引：28

作者：

Fahl, M ^{[1
]}

机构：

[1] Univ Trier, FB Math 4, D-54286 Trier, Germany

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2001年 / 34卷 / 1-2期

关键词：

proper orthogonal decomposition; singular value decomposition; Lanczos method; fluid flow;

D O I：

10.1016/S0895-7177(01)00051-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The proper orthogonal decomposition (POD) approach allows us to construct low-order models for fluid flows. Supposing an ensemble of solutions of the time-dependent Navier-Stokes equations at fixed time instants (snapshots) is given, the aim is to compute a few global basis functions to represent the main dynamics of the Bow. The POD basis functions call be computed via a truncated singular value decomposition of the data matrix given by the snapshots, where Lanczos: Methods call be used to calculate the POD basis functions efficiently. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：91 / 107

页数：17