Reduced order Galerkin models of flow around NACA-0012 airfoil

被引：12

作者：

Stankiewicz, W. ^{[1
]}

Morzynski, M. ^{[1
]}

Noack, B. R. ^{[2
]}

Tadmor, G. ^{[3
]}

机构：

[1] Poznan Tech Univ, Div Methods Machine Design, PL-60965 Poznan, Poland

[2] Tech Univ Berlin, Inst Fluid Dynam & Tech Acoust, D-10623 Berlin, Germany

[3] Northeastern Univ, Dept Elect & Comp Engn, Boston, MA 02115 USA

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2008年 / 13卷 / 01期

基金：

美国国家科学基金会;

关键词：

Calerkin method; Reduced Order Models (ROM); Proper Orthogonal Decomposition (POD); mode interpolation; stability; control;

D O I：

10.3846/1392-6292.2008.13.113-122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The construction of low-dimensional models of the flow, containing only reduced number of degrees of freedom, is the essential prerequisite of closed-loop control of that flow. Presently used models usually base on the Galerkin method, where the flow is approximated by the number of modes and coefficients. The velocities are computed from a system of ordinary differential equations, called Galerkin System, instead of Navier-Stokes equation. In this paper, reduced order models of the flow around NACA-0012 airfoil are presented. The chosen mode sets include POD modes from Karhunen-Loeve decomposition (which require previous direct numerical simulation), as well as different eigenmodes from global stability analysis of the flow.

引用

页码：113 / 122

页数：10

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