Volume 4, Issue 3-4
Reduced-order Modeling of Burger Equations Based on Centroidal Voronoi Tessellation

A Kunoth ,  M. Schlichtenmayer and C. Schneider

Int. J. Numer. Anal. Mod., 4 (2007), pp. 559-583

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  • Abstract

In this paper, we study a reduced-order modeling for Burgers equations. Review of the CVT (centroidal Voronoi tessellation) approaches to reduced- order bases are provided. In CVT-reduced order modelling, we start with a snapshot set just as is done in a POD (Proper Orthogonal Decomposition)-based setting. We shall investigate the technique of CVT as a procedure to determine the basis elements for the approximating subspaces. Some numerical experiments including comparison of CVT-based algorithm with numerical results obtained from FEM (finite element method) and POD- based algorithm are reported. Finally, we apply CVT-based reduced order modeling technique to a feedback control problem for Burgers equation.

  • History

Published online: 2007-04

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