The proper orthogonal decomposition method for the Navier-Stokes equations
- Author:
Axia WANG
;
Yichen MA
;
Wenjing YAN
- Publication Type:Journal Article
- Keywords:
proper orthogonal decomposition;
Navier-Stokes equations;
low-dimensional modeling;
Galerkin method
- From:
Journal of Pharmaceutical Analysis
2008;20(3):141-148
- CountryChina
- Language:Chinese
-
Abstract:
The proper orthogonai decomposition (POD) method for the instatiouary 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.
