Variational Multiscale Proper Orthogonal Decomposition: Convection-Dominated Convection-Diffusion Equations
Numerical Analysis
2015-03-19 v1
Abstract
We introduce a variational multiscale closure modeling strategy for the numerical stabilization of proper orthogonal decomposition reduced-order models of convection-dominated equations. As a first step, the new model is analyzed and tested for convection-dominated convection-diffusion equations. The numerical analysis of the finite element discretization of the model is presented. Numerical tests show the increased numerical accuracy over the standard reduced-order model and illustrate the theoretical convergence rates.
Cite
@article{arxiv.1103.2729,
title = {Variational Multiscale Proper Orthogonal Decomposition: Convection-Dominated Convection-Diffusion Equations},
author = {Traian iliescu and Zhu Wang},
journal= {arXiv preprint arXiv:1103.2729},
year = {2015}
}
Comments
22 pages, 4 figures