The proper orthogonal decomposition method for the Navier-Stokes equations
- Author:
Axia WANG
1
Author Information
1. School of Science
- Publication Type:Journal Article
- Keywords:
Galerkin method;
Low-dimensional modeling;
Navier-Stokes equations;
Proper orthogonal decomposition
- From:Academic Journal of Xi'an Jiaotong University
2008;20(3):141-148
- CountryChina
- Language:Chinese
-
Abstract:
The proper orthogonal decomposition (POD) method for the instationary Navier-Stokes equations is considered. Several numerical approaches to evaluating the POD eigenfunctions are presented. The POD eigenfunctions are applied as a basis for a Galerkin projection of the instationary Navier-Stokes equations. And a low-dimensional ordinary differential models for fluid flows governed by the instationary Navier-Stokes equations are constructed. The numerical examples show that the method is feasible and efficient for optimal control of fluids.
